{"id":291,"date":"2021-08-31T08:12:00","date_gmt":"2021-08-31T05:12:00","guid":{"rendered":"https:\/\/blogit.gradia.fi\/ageom\/?page_id=291"},"modified":"2021-09-01T12:18:06","modified_gmt":"2021-09-01T09:18:06","slug":"3-1-ja-3-2-ti-27-8","status":"publish","type":"page","link":"https:\/\/blogit.gradia.fi\/ageom\/3-1-ja-3-2-ti-27-8\/","title":{"rendered":"3.1 ja 3.2 (ti 31.8.)"},"content":{"rendered":"\n<p><\/p>\n\n\n\n<p><a href=\"https:\/\/jaofi-my.sharepoint.com\/:b:\/g\/personal\/htabell_gradia_fi\/ERDycVuq2m1Dox_uDQzIINwBTUGcQKS5lwcaQB3qg1Yyyg?e=0oF2CV\" target=\"_blank\" rel=\"noreferrer noopener\">Linkki tuntimuistiinpanoihin<\/a><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Teht\u00e4vien ratkaisut<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Tuntiteht\u00e4v\u00e4t<\/strong> <\/h4>\n\n\n\n<ul class=\"wp-block-list\"><li><strong>Luku 3.1 Suoran suunta<\/strong>: 301, 303a, 305, 309, 313.<\/li><li><strong>Luku 3.2 Suoran yht\u00e4l\u00f6<\/strong>: 321, 326, 327a, 330, 331, 332, 340.<\/li><\/ul>\n\n\n\n<div id=\"uusi\">301<\/div>\n\n\n\n<p>Suora <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-7cdaa28f8216c79c2a678c7293795976_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"\/>, pisteet <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-6d9a91d344764e9fc3ea937685aab671_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#50;&#44;&#45;&#49;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"52\" style=\"vertical-align: -4px;\"\/> ja <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-65ba6b6074d15aa424efeb4355cd41d5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#52;&#44;&#51;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"38\" style=\"vertical-align: -4px;\"\/>.<\/p>\n\n\n\n<p>Kulmakerroin <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-1748453e05c31f26068b46bca59e80f7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#107;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#51;&#45;&#40;&#45;&#49;&#41;&#125;&#123;&#52;&#45;&#50;&#125;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#52;&#125;&#123;&#50;&#125;&#61;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"172\" style=\"vertical-align: -13px;\"\/><\/p>\n\n\n\n<p>Suora <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-098fd5120d388d021c2aaa2ee2fdd27f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#98;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"8\" style=\"vertical-align: 0px;\"\/>, pisteet <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-a7a051bc75dc24660ed57c501c905c09_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#49;&#44;&#51;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"38\" style=\"vertical-align: -4px;\"\/> ja <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-1a5d66d09c7c307138ffd56b76178209_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#49;&#48;&#44;&#48;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"47\" style=\"vertical-align: -4px;\"\/>.<\/p>\n\n\n\n<p>Kulmakerroin <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-5a9a07b53752c01e67ddcf49d29331e4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#107;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#48;&#45;&#51;&#125;&#123;&#49;&#48;&#45;&#49;&#125;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#45;&#51;&#125;&#123;&#57;&#125;&#61;&#45;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#51;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"184\" style=\"vertical-align: -13px;\"\/><\/p>\n\n\n\n<p>Suora <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-8c015766beb9fb7c6232e2df0354dc08_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#99;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"\/>, pisteet <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-3053160a73fa31f2ccd4f9a37baab69a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#56;&#44;&#52;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"38\" style=\"vertical-align: -4px;\"\/> ja <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-8a26666be574191b14e8e8aa10f2943f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#49;&#48;&#44;&#45;&#50;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"61\" style=\"vertical-align: -4px;\"\/>.<\/p>\n\n\n\n<p>Kulmakerroin <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-aa23792ff79a3a1ab989b2963032c4b5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#107;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#45;&#50;&#45;&#52;&#125;&#123;&#49;&#48;&#45;&#56;&#125;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#45;&#54;&#125;&#123;&#50;&#125;&#61;&#45;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"187\" style=\"vertical-align: -13px;\"\/><\/p>\n\n\n\n<div id=\"uusi\">303. a)<\/div>\n\n\n\n<p>Suora kulkee pisteen <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-a55e8db90b544f0ab1f20912350b2c29_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#51;&#44;&#50;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"38\" style=\"vertical-align: -4px;\"\/> kautta ja kulmakerroin on <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-00ac69dabbb1414f319584b1b7797538_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"\/>. Kun <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-edf6d5462aa989d30da6f7f7d6e93e0f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"\/>-koordinaatti muuttuu oikealle yhden yksik\u00f6n verran, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-1511b6d339e66309a4071bc95cfd9285_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"\/>-koordinaatti muuttuu yl\u00f6s kahden yksik\u00f6n verran.<\/p>\n\n\n\n<p>Siten toinen <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-edf6d5462aa989d30da6f7f7d6e93e0f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"\/>-koordinaatti on esimerkiksi <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-386cc4ae075de1d472cf6be757a29a46_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#43;&#49;&#61;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"72\" style=\"vertical-align: -2px;\"\/> ja <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-1511b6d339e66309a4071bc95cfd9285_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"\/>-koordinaatti on esimerkiksi <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-4411992befc5b9de2a50af06c0e95765_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#43;&#50;&#61;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"72\" style=\"vertical-align: -2px;\"\/> eli koordinaatitksi tulee <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-6de7405d03ac5c6f56f9b3178e87a7ac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#52;&#44;&#52;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"38\" style=\"vertical-align: -4px;\"\/>.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/303a2.png\" alt=\"\" class=\"wp-image-328\" width=\"270\" height=\"307\" \/><\/figure><\/div>\n\n\n\n<div id=\"uusi\">303. b)<\/div>\n\n\n\n<p>Suora kulkee pisteen <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-c331781239057ecf05d995b0f2b86a2c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#48;&#44;&#50;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"38\" style=\"vertical-align: -4px;\"\/> kautta ja kulmakerroin on <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-9abf5aa308942e9b0e218210ac6b6782_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#51;&#125;&#123;&#52;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"9\" style=\"vertical-align: -12px;\"\/>. Kun <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-edf6d5462aa989d30da6f7f7d6e93e0f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"\/>-koordinaatti muuttuu oikealle nelj\u00e4n yksik\u00f6n verran, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-1511b6d339e66309a4071bc95cfd9285_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"\/>-koordinaatti muuttuu yl\u00f6s kolmen yksik\u00f6n verran.<\/p>\n\n\n\n<p>Siten toinen <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-edf6d5462aa989d30da6f7f7d6e93e0f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"\/>-koordinaatti on esimerkiksi <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-6e99612be918d299846cfd2ac407b762_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#48;&#43;&#52;&#61;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"72\" style=\"vertical-align: -2px;\"\/> ja <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-1511b6d339e66309a4071bc95cfd9285_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"\/>-koordinaatti on esimerkiksi <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-362fd7c489f0f804a4b2d389ab7a347c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#43;&#51;&#61;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"72\" style=\"vertical-align: -2px;\"\/> eli koordinaatitksi tulee <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-e56c48a30caf6a88eeb094c25abad5c5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#52;&#44;&#53;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"38\" style=\"vertical-align: -4px;\"\/>.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/303b2-1024x717.png\" alt=\"\" class=\"wp-image-330\" width=\"348\" height=\"243\" srcset=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/303b2-1024x717.png 1024w, https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/303b2-300x210.png 300w, https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/303b2-768x538.png 768w, https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/303b2.png 1155w\" sizes=\"auto, (max-width: 348px) 100vw, 348px\" \/><\/figure><\/div>\n\n\n\n<div id=\"uusi\">303. b)<\/div>\n\n\n\n<p>Suora kulkee pisteen <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-103deb3637a00fdc6e8ed35a2a95691f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#53;&#44;&#48;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"38\" style=\"vertical-align: -4px;\"\/> kautta ja kulmakerroin on <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-7ae1dad5d5d04dc2280cf7732d16fb8b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#45;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#50;&#125;&#123;&#51;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"24\" style=\"vertical-align: -12px;\"\/>. Kun <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-edf6d5462aa989d30da6f7f7d6e93e0f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"\/>-koordinaatti muuttuu oikealle kolmen yksik\u00f6n verran, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-1511b6d339e66309a4071bc95cfd9285_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"\/>-koordinaatti muuttuu alas kahden yksik\u00f6n verran.<\/p>\n\n\n\n<p>Siten toinen <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-edf6d5462aa989d30da6f7f7d6e93e0f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"\/>-koordinaatti on esimerkiksi <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-5816ea26829330c60879ad4021ebb40c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#53;&#43;&#51;&#61;&#56;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"72\" style=\"vertical-align: -2px;\"\/> ja <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-1511b6d339e66309a4071bc95cfd9285_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"\/>-koordinaatti on esimerkiksi <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-de6deef0ffedee0381d4ef2329111eba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#48;&#45;&#50;&#61;&#45;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"85\" style=\"vertical-align: 0px;\"\/> eli koordinaatitksi tulee <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-8b0fbdd670f11228d5473e8c824571ca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#56;&#44;&#45;&#50;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"52\" style=\"vertical-align: -4px;\"\/>.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/303c2-1024x558.png\" alt=\"\" class=\"wp-image-332\" width=\"383\" height=\"209\" srcset=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/303c2-1024x558.png 1024w, https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/303c2-300x163.png 300w, https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/303c2-768x418.png 768w, https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/303c2.png 1199w\" sizes=\"auto, (max-width: 383px) 100vw, 383px\" \/><\/figure><\/div>\n\n\n\n<div id=\"uusi\">305. a)<\/div>\n\n\n\n<p>Suoran kulmakerroin on <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-a7d9f62c4ec3728225eae2524ff9a00c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#45;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"22\" style=\"vertical-align: 0px;\"\/>. Siten <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-eaaf6a63d4d785f622a81f0e7ba284f0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#97;&#110;&#32;&#92;&#97;&#108;&#112;&#104;&#97;&#32;&#61;&#45;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"87\" style=\"vertical-align: -1px;\"\/>.<\/p>\n\n\n\n<p>Suoran suuntakulma on<\/p>\n\n\n\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-b0e077031dbfd02c96ed1d69c95321d6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#97;&#108;&#112;&#104;&#97;&#32;&#61;&#32;&#92;&#97;&#114;&#99;&#116;&#97;&#110;&#40;&#45;&#53;&#41;&#61;&#45;&#55;&#49;&#123;&#44;&#125;&#53;&#54;&#32;&#92;&#108;&#100;&#111;&#116;&#115;&#94;&#123;&#92;&#99;&#105;&#114;&#99;&#125;&#32;&#92;&#97;&#112;&#112;&#114;&#111;&#120;&#32;&#45;&#55;&#49;&#123;&#44;&#125;&#54;&#32;&#92;&#108;&#100;&#111;&#116;&#115;&#94;&#123;&#92;&#99;&#105;&#114;&#99;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"329\" style=\"vertical-align: -5px;\"\/><\/p>\n\n\n\n<p>Huom! Voit kirjoittaa jatkossa suoraan seuraavasti:<\/p>\n\n\n\n<p><p class=\"ql-center-displayed-equation\" style=\"line-height: 43px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-5c6896beff35356e9a24a3fd288393f4_l3.png\" height=\"43\" width=\"249\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;&#92;&#116;&#97;&#110;&#32;&#92;&#97;&#108;&#112;&#104;&#97;&#32;&#38;&#61;&#32;&#45;&#53;&#92;&#92;&#92;&#97;&#108;&#112;&#104;&#97;&#32;&#38;&#61;&#32;&#45;&#55;&#49;&#123;&#44;&#125;&#53;&#54;&#32;&#92;&#108;&#100;&#111;&#116;&#115;&#94;&#123;&#92;&#99;&#105;&#114;&#99;&#125;&#32;&#92;&#97;&#112;&#112;&#114;&#111;&#120;&#32;&#45;&#55;&#49;&#123;&#44;&#125;&#54;&#32;&#92;&#108;&#100;&#111;&#116;&#115;&#94;&#123;&#92;&#99;&#105;&#114;&#99;&#125;&#32;&#92;&#101;&#110;&#100;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p><\/p>\n\n\n\n<div id=\"uusi\">305. b)<\/div>\n\n\n\n<p>Lasketaan ensin suoran kulmakerroin. Pisteet ovat <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-5e4a04b6500ace2fd709d196c5c41b13_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#48;&#44;&#49;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"38\" style=\"vertical-align: -4px;\"\/> ja <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-9f47024a8ca4fce9d28678082faaebd9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#52;&#44;&#50;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"38\" style=\"vertical-align: -4px;\"\/>.<\/p>\n\n\n\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-b50b97148aef912c6a90e3e676c1330a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#107;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#50;&#45;&#49;&#125;&#123;&#52;&#45;&#48;&#125;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#52;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"111\" style=\"vertical-align: -13px;\"\/><\/p>\n\n\n\n<p><p class=\"ql-center-displayed-equation\" style=\"line-height: 62px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-c1d1adde7c738342428b6af3989468d2_l3.png\" height=\"62\" width=\"201\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;&#92;&#116;&#97;&#110;&#32;&#92;&#97;&#108;&#112;&#104;&#97;&#32;&#38;&#61;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#52;&#125;&#92;&#92;&#92;&#97;&#108;&#112;&#104;&#97;&#32;&#38;&#61;&#49;&#52;&#123;&#44;&#125;&#48;&#51;&#32;&#92;&#108;&#100;&#111;&#116;&#115;&#94;&#123;&#92;&#99;&#105;&#114;&#99;&#125;&#32;&#92;&#97;&#112;&#112;&#114;&#111;&#120;&#32;&#49;&#52;&#123;&#44;&#48;&#125;&#94;&#123;&#92;&#99;&#105;&#114;&#99;&#125;&#92;&#101;&#110;&#100;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p><\/p>\n\n\n\n<div id=\"uusi\">305. c)<\/div>\n\n\n\n<p>Suora kulkee pisteiden <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-9298eead7c8549f431231cfe85dd6d53_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#51;&#44;&#32;&#49;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"38\" style=\"vertical-align: -4px;\"\/> ja <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-eb28a14e283647c5a8f0523ea17fcc8c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#51;&#44;&#32;&#53;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"38\" style=\"vertical-align: -4px;\"\/> kautta. Suoran pisteill\u00e4 on sama <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-edf6d5462aa989d30da6f7f7d6e93e0f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"\/>-koordinaatti. Suora on siten pystysuora. Sen suuntakulma on <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-38684bd9cd9adfb6f964aa8a2352879b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#57;&#48;&#123;&#44;&#125;&#48;&#94;&#123;&#92;&#99;&#105;&#114;&#99;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"39\" style=\"vertical-align: -4px;\"\/>.  <br><\/p>\n\n\n\n<div id=\"uusi\">305. d)<\/div>\n\n\n\n<p>Suoran er\u00e4s suuntavektori <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-26f0289f4ffe97e2616d61954cfe3751_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#32;&#92;&#111;&#118;&#101;&#114;&#108;&#105;&#110;&#101;&#123;&#105;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"16\" style=\"vertical-align: 0px;\"\/> tarkoittaa sit\u00e4, ett\u00e4 suora on <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-edf6d5462aa989d30da6f7f7d6e93e0f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"\/>-akselin suuntainen eli se on vaakasuora. Suuntakulma on  <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-6e78369d5f88d1f0140189dcdf68790e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#48;&#123;&#44;&#125;&#48;&#94;&#123;&#92;&#99;&#105;&#114;&#99;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"30\" style=\"vertical-align: -4px;\"\/>.<\/p>\n\n\n\n<div id=\"uusi\">309. a)<\/div>\n\n\n\n<p>Suora leikkaa <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-edf6d5462aa989d30da6f7f7d6e93e0f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"\/>-akselin pisteess\u00e4 <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-7a662ae41fd7cb8b2b662495467c71cf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#45;&#51;&#44;&#48;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"51\" style=\"vertical-align: -4px;\"\/> ja on <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-1511b6d339e66309a4071bc95cfd9285_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"\/>-akselin suuntainen tarkoittaa pystysuoraa suoraa.<\/p>\n\n\n\n<p>T\u00e4llainen suuntavektori on esimerkiksi <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-5757259eab6c95495c7e36d86e7ec51b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#108;&#105;&#110;&#101;&#123;&#106;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"10\" style=\"vertical-align: -4px;\"\/> tai <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-96f3534534b81b9498b350fb114f648c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#32;&#92;&#111;&#118;&#101;&#114;&#108;&#105;&#110;&#101;&#123;&#106;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"18\" style=\"vertical-align: -4px;\"\/>.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/309a2.png\" alt=\"\" class=\"wp-image-344\" width=\"230\" height=\"180\" \/><\/figure><\/div>\n\n\n\n<div id=\"uusi\">309. b)<\/div>\n\n\n\n<p>Suoran suuntavektori voidaan m\u00e4\u00e4ritt\u00e4\u00e4 laskemalla pisteiden <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-8199914a03a701fbdffa387b7c00ab11_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#51;&#44;&#49;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"38\" style=\"vertical-align: -4px;\"\/> ja <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-8b0fbdd670f11228d5473e8c824571ca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#56;&#44;&#45;&#50;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"52\" style=\"vertical-align: -4px;\"\/> <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-edf6d5462aa989d30da6f7f7d6e93e0f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"\/>-, ja <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-1511b6d339e66309a4071bc95cfd9285_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"\/> -koordinaattien erotukset:<\/p>\n\n\n\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-e70e3849d8697bcf881ad6498e40e155_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#56;&#45;&#51;&#92;&#114;&#105;&#103;&#104;&#116;&#41;&#32;&#92;&#111;&#118;&#101;&#114;&#108;&#105;&#110;&#101;&#123;&#105;&#125;&#32;&#43;&#32;&#92;&#108;&#101;&#102;&#116;&#40;&#45;&#50;&#45;&#49;&#32;&#92;&#114;&#105;&#103;&#104;&#116;&#41;&#32;&#92;&#111;&#118;&#101;&#114;&#108;&#105;&#110;&#101;&#123;&#106;&#125;&#61;&#53;&#32;&#92;&#111;&#118;&#101;&#114;&#108;&#105;&#110;&#101;&#123;&#105;&#125;&#32;&#45;&#32;&#51;&#32;&#92;&#111;&#118;&#101;&#114;&#108;&#105;&#110;&#101;&#123;&#106;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"239\" style=\"vertical-align: -4px;\"\/><\/p>\n\n\n\n<div id=\"uusi\">309. c)<\/div>\n\n\n\n<p>Kun kulmakerroin on <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-4653554d907f2cfef73e25d7ac5751f5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"\/>, suora on <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-edf6d5462aa989d30da6f7f7d6e93e0f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"\/>-akselin suuntainen. Suoran er\u00e4s suuntavektori on  <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-de2afbe97c2cc2c8e05f18d9fc107cc6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#32;&#92;&#111;&#118;&#101;&#114;&#108;&#105;&#110;&#101;&#123;&#105;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"16\" style=\"vertical-align: 0px;\"\/>. <\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/309c2.png\" alt=\"\" class=\"wp-image-348\" width=\"230\" height=\"251\" \/><\/figure><\/div>\n\n\n\n<div id=\"uusi\">313. a)<\/div>\n\n\n\n<p>Kulmakerroin <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-4896cef56ca162fe5325ee186c7a17cf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#107;&#61;&#92;&#116;&#97;&#110;&#32;&#40;&#45;&#53;&#48;&#94;&#123;&#92;&#99;&#105;&#114;&#99;&#125;&#41;&#61;&#45;&#49;&#123;&#44;&#125;&#49;&#57;&#32;&#92;&#108;&#100;&#111;&#116;&#115;&#32;&#92;&#97;&#112;&#112;&#114;&#111;&#120;&#32;&#45;&#49;&#123;&#44;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"267\" style=\"vertical-align: -5px;\"\/>.<\/p>\n\n\n\n<div id=\"uusi\">313. b)<\/div>\n\n\n\n<p> Kulmakerroin <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-34d3cd3d1d1d39d4ee3cf31f79677f03_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#107;&#61;&#92;&#116;&#97;&#110;&#32;&#40;&#45;&#51;&#48;&#94;&#123;&#92;&#99;&#105;&#114;&#99;&#125;&#41;&#61;&#45;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#92;&#115;&#113;&#114;&#116;&#123;&#51;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"175\" style=\"vertical-align: -16px;\"\/>. <\/p>\n\n\n\n<p>Yleens\u00e4 vastaukseen ei j\u00e4tet\u00e4 neli\u00f6juurta nimitt\u00e4j\u00e4\u00e4n. Lavennetaan <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-fe96e2769def881d42fd760dd13197a4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#115;&#113;&#114;&#116;&#123;&#51;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"23\" style=\"vertical-align: -2px;\"\/> :lla.<\/p>\n\n\n\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-12b02373b62c2bd85005cc0a2f8bd8b5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#107;&#61;&#92;&#32;&#32;&#94;&#123;&#32;&#92;&#115;&#113;&#114;&#116;&#123;&#51;&#125;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#41;&#125;&#125;&#45;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#92;&#115;&#113;&#114;&#116;&#123;&#51;&#125;&#125;&#32;&#61;&#45;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#92;&#115;&#113;&#114;&#116;&#123;&#51;&#125;&#125;&#123;&#40;&#92;&#115;&#113;&#114;&#116;&#123;&#51;&#125;&#41;&#94;&#123;&#50;&#125;&#125;&#61;&#45;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#92;&#115;&#113;&#114;&#116;&#123;&#51;&#125;&#125;&#123;&#51;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"263\" style=\"vertical-align: -18px;\"\/><\/p>\n\n\n\n<div id=\"uusi\">314. a)<\/div>\n\n\n\n<p><\/p>\n\n\n\n<div id=\"uusi\">321. a)<\/div>\n\n\n\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-ae9b04d9b1354256b88160b4abd768c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#107;&#61;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"41\" style=\"vertical-align: 0px;\"\/>, piste <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-3a4302b549cdbf4adb6b69a2c9f816ea_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#120;&#95;&#48;&#44;&#121;&#95;&#48;&#41;&#61;&#40;&#52;&#44;&#51;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"117\" style=\"vertical-align: -4px;\"\/><\/p>\n\n\n\n<p>Sijoitetaan suoran yht\u00e4l\u00f6n lausekkeeseen, jolloin<\/p>\n\n\n\n<p><p class=\"ql-center-displayed-equation\" style=\"line-height: 152px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-0970bf8ddcb52e5e1fae99f6bdfab116_l3.png\" height=\"152\" width=\"152\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;&#121;&#45;&#121;&#95;&#48;&#32;&#38;&#61;&#32;&#107;&#40;&#120;&#45;&#120;&#95;&#48;&#41;&#92;&#92;&#121;&#45;&#51;&#38;&#61;&#50;&#40;&#120;&#45;&#52;&#41;&#92;&#92;&#121;&#45;&#51;&#38;&#61;&#50;&#120;&#45;&#50;&#32;&#92;&#99;&#100;&#111;&#116;&#32;&#52;&#92;&#92;&#121;&#45;&#51;&#38;&#61;&#50;&#120;&#45;&#56;&#92;&#92;&#121;&#38;&#61;&#50;&#120;&#45;&#56;&#43;&#51;&#92;&#92;&#121;&#38;&#61;&#50;&#120;&#45;&#53;&#92;&#101;&#110;&#100;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p><\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/321a2.png\" alt=\"\" class=\"wp-image-360\" width=\"239\" height=\"238\" srcset=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/321a2.png 787w, https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/321a2-150x150.png 150w, https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/321a2-300x300.png 300w, https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/321a2-768x766.png 768w\" sizes=\"auto, (max-width: 239px) 100vw, 239px\" \/><\/figure><\/div>\n\n\n\n<p>Piste on suoralla, jos se toteuttaa suoran yht\u00e4l\u00f6n. Sijoitetaan suoran yht\u00e4l\u00f6\u00f6n <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-7227c7f737eb51e7cdee3c9e1e5a8ef2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#32;&#61;&#32;&#50;&#120;&#32;&#45;&#32;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"82\" style=\"vertical-align: -4px;\"\/> pisteen koordinaatit.  <\/p>\n\n\n\n<p>Piste <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-03c72ff3f0aa969ae8bb61d5b787ed57_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#49;&#48;&#48;&#44;&#32;&#49;&#57;&#54;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"73\" style=\"vertical-align: -4px;\"\/>:  <br><p class=\"ql-center-displayed-equation\" style=\"line-height: 67px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-2d9b9762a3b1db6996816dd3408678c6_l3.png\" height=\"67\" width=\"127\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;&#49;&#57;&#54;&#38;&#61;&#50;&#32;&#92;&#99;&#100;&#111;&#116;&#32;&#49;&#48;&#48;&#32;&#45;&#53;&#92;&#92;&#49;&#57;&#54;&#38;&#61;&#50;&#48;&#48;&#45;&#53;&#92;&#92;&#49;&#57;&#54;&#38;&#61;&#49;&#57;&#53;&#92;&#101;&#110;&#100;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p><\/p>\n\n\n\n<p>Piste ei toteuta yht\u00e4l\u00f6\u00e4, joten se ei ole suoralla.<\/p>\n\n\n\n<p> Piste <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-d38eb225b48c5e50bc882d552ec1d854_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#45;&#57;&#44;&#32;&#45;&#50;&#51;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"74\" style=\"vertical-align: -4px;\"\/>:  <br><p class=\"ql-center-displayed-equation\" style=\"line-height: 67px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-8a79b91be184f69525f147fb95c0ac12_l3.png\" height=\"67\" width=\"142\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;&#45;&#50;&#51;&#38;&#61;&#50;&#32;&#92;&#99;&#100;&#111;&#116;&#32;&#40;&#45;&#57;&#41;&#32;&#45;&#53;&#92;&#92;&#45;&#50;&#51;&#38;&#61;&#45;&#49;&#56;&#45;&#53;&#92;&#92;&#45;&#50;&#51;&#38;&#61;&#45;&#50;&#51;&#92;&#101;&#110;&#100;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p> <\/p>\n\n\n\n<p> Piste toteuttaa yht\u00e4l\u00f6n, joten se on suoralla. <\/p>\n\n\n\n<div id=\"uusi\">326. a)<\/div>\n\n\n\n<p>Ratkaistaan normaalimuodossa olevista yht\u00e4l\u00f6ist\u00e4 muuttuja <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-1511b6d339e66309a4071bc95cfd9285_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"\/>.<\/p>\n\n\n\n<p><p class=\"ql-center-displayed-equation\" style=\"line-height: 114px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-8ccb8bc74ad93ef99dcf8448e0fa36d3_l3.png\" height=\"114\" width=\"248\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;&#54;&#120;&#45;&#50;&#121;&#43;&#52;&#38;&#61;&#48;&#92;&#92;&#45;&#50;&#121;&#38;&#61;&#45;&#54;&#120;&#45;&#52;&#92;&#32;&#92;&#112;&#97;&#114;&#97;&#108;&#108;&#101;&#108;&#92;&#32;&#58;&#40;&#45;&#50;&#41;&#92;&#92;&#121;&#38;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#45;&#54;&#120;&#125;&#123;&#45;&#50;&#125;&#45;&#92;&#102;&#114;&#97;&#99;&#123;&#52;&#125;&#123;&#45;&#50;&#125;&#92;&#92;&#121;&#38;&#61;&#51;&#120;&#43;&#50;&#92;&#101;&#110;&#100;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p><\/p>\n\n\n\n<p> <p class=\"ql-center-displayed-equation\" style=\"line-height: 131px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-b7754b8a28e5244eb227bafe6366e474_l3.png\" height=\"131\" width=\"248\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;&#52;&#120;&#45;&#54;&#121;&#45;&#56;&#38;&#61;&#48;&#92;&#92;&#45;&#54;&#121;&#38;&#61;&#45;&#52;&#120;&#43;&#56;&#92;&#32;&#92;&#112;&#97;&#114;&#97;&#108;&#108;&#101;&#108;&#92;&#32;&#58;&#40;&#45;&#54;&#41;&#92;&#92;&#121;&#38;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#45;&#52;&#120;&#125;&#123;&#45;&#54;&#125;&#43;&#92;&#102;&#114;&#97;&#99;&#123;&#56;&#125;&#123;&#45;&#54;&#125;&#92;&#92;&#121;&#38;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#50;&#125;&#123;&#51;&#125;&#120;&#45;&#92;&#102;&#114;&#97;&#99;&#123;&#52;&#125;&#123;&#51;&#125;&#92;&#101;&#110;&#100;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p> <\/p>\n\n\n\n<p>Ensimm\u00e4isen suoran kulmakerroin on <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-05db02a331d82ee0cac16ca358fd4d43_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"\/> ja toisen suoran kulmakerroin on <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-25795e233001c3e818898eaede4aa7b2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#50;&#125;&#123;&#51;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"9\" style=\"vertical-align: -12px;\"\/>. Koska kulmakertoimien arvot eiv\u00e4t ole yht\u00e4suuret, suorat eiv\u00e4t ole yhdensuuntaisia.<\/p>\n\n\n\n<div id=\"uusi\">326. b)<\/div>\n\n\n\n<p>Siirret\u00e4\u00e4n kaikki termit samalle puolelle yht\u00e4l\u00f6\u00e4 ja lavennetaan tarvittaessa murtolukukertoimet kokonaisluvuiksi.<\/p>\n\n\n\n<p> <p class=\"ql-center-displayed-equation\" style=\"line-height: 157px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-5cdb9011c7162a5eed634349d557ee69_l3.png\" height=\"157\" width=\"251\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;&#121;&#38;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#50;&#125;&#120;&#43;&#92;&#102;&#114;&#97;&#99;&#123;&#52;&#125;&#123;&#53;&#125;&#92;&#32;&#92;&#112;&#97;&#114;&#97;&#108;&#108;&#101;&#108;&#92;&#32;&#92;&#99;&#100;&#111;&#116;&#32;&#49;&#48;&#92;&#92;&#49;&#48;&#121;&#38;&#61;&#49;&#48;&#32;&#92;&#99;&#100;&#111;&#116;&#32;&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#50;&#125;&#120;&#32;&#43;&#32;&#49;&#48;&#32;&#92;&#99;&#100;&#111;&#116;&#92;&#102;&#114;&#97;&#99;&#123;&#52;&#125;&#123;&#53;&#125;&#92;&#92;&#49;&#48;&#121;&#38;&#61;&#53;&#120;&#43;&#56;&#92;&#92;&#45;&#53;&#120;&#43;&#49;&#48;&#121;&#45;&#56;&#38;&#61;&#48;&#92;&#32;&#92;&#112;&#97;&#114;&#97;&#108;&#108;&#101;&#108;&#92;&#32;&#92;&#99;&#100;&#111;&#116;&#32;&#40;&#45;&#49;&#41;&#92;&#92;&#53;&#120;&#45;&#49;&#48;&#121;&#43;&#56;&#38;&#61;&#48;&#92;&#101;&#110;&#100;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p>  <\/p>\n\n\n\n<div id=\"uusi\">327. a)<\/div>\n\n\n\n<p>Ratkaistaan normaalimuotoisesta yht\u00e4l\u00f6st\u00e4 <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-1511b6d339e66309a4071bc95cfd9285_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"\/>:<\/p>\n\n\n\n<p><p class=\"ql-center-displayed-equation\" style=\"line-height: 42px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-e49261db90903e1fc26a6c5dd91553d3_l3.png\" height=\"42\" width=\"168\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;&#50;&#120;&#43;&#121;&#45;&#51;&#38;&#61;&#48;&#92;&#92;&#121;&#38;&#61;&#45;&#50;&#120;&#43;&#51;&#92;&#101;&#110;&#100;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p><\/p>\n\n\n\n<p>Suoran kulmakerroin on <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-1316bfadf7aa2bd2fa52a823aec35b1c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#45;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"21\" style=\"vertical-align: 0px;\"\/>. Suora leikkaa <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-1511b6d339e66309a4071bc95cfd9285_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"\/>-akselin pisteess\u00e4 <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-05db02a331d82ee0cac16ca358fd4d43_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"\/>.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/327a2.png\" alt=\"\" class=\"wp-image-369\" width=\"214\" height=\"207\" srcset=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/327a2.png 743w, https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/327a2-300x291.png 300w\" sizes=\"auto, (max-width: 214px) 100vw, 214px\" \/><\/figure><\/div>\n\n\n\n<div id=\"uusi\">330. a)<\/div>\n\n\n\n<p>Suuntakulman selvitt\u00e4miseksi ratkaistaan yht\u00e4l\u00f6n normaalimuodosta <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-1511b6d339e66309a4071bc95cfd9285_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"\/>:<\/p>\n\n\n\n<p><p class=\"ql-center-displayed-equation\" style=\"line-height: 130px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-b20e7545641f23f5d89386200762b7a6_l3.png\" height=\"130\" width=\"237\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;&#50;&#120;&#43;&#53;&#121;&#45;&#49;&#48;&#38;&#61;&#48;&#92;&#92;&#53;&#121;&#38;&#61;&#45;&#50;&#120;&#43;&#49;&#48;&#92;&#32;&#92;&#112;&#97;&#114;&#97;&#108;&#108;&#101;&#108;&#92;&#32;&#58;&#53;&#92;&#92;&#121;&#38;&#61;&#45;&#92;&#102;&#114;&#97;&#99;&#123;&#50;&#125;&#123;&#53;&#125;&#120;&#43;&#32;&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#48;&#125;&#123;&#53;&#125;&#92;&#92;&#121;&#38;&#61;&#45;&#92;&#102;&#114;&#97;&#99;&#123;&#50;&#125;&#123;&#53;&#125;&#120;&#43;&#50;&#92;&#101;&#110;&#100;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p><\/p>\n\n\n\n<p>Kulmakerroin on <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-6ba9212645d567a5323dc6cd9855449b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#107;&#61;&#32;&#45;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#50;&#125;&#123;&#53;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"58\" style=\"vertical-align: -12px;\"\/><\/p>\n\n\n\n<p>Suuntakulma <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-82997067e1263adef17c7d0f0384a053_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#97;&#108;&#112;&#104;&#97;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"\/> m\u00e4\u00e4ritet\u00e4\u00e4n kulmakertoimen avulla<\/p>\n\n\n\n<p><p class=\"ql-center-displayed-equation\" style=\"line-height: 136px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-dba9d8d5c93cce8b604b8acdc65d8bce_l3.png\" height=\"136\" width=\"225\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;&#92;&#116;&#97;&#110;&#32;&#92;&#97;&#108;&#112;&#104;&#97;&#38;&#61;&#107;&#92;&#92;&#92;&#116;&#97;&#110;&#32;&#92;&#97;&#108;&#112;&#104;&#97;&#38;&#61;&#45;&#92;&#102;&#114;&#97;&#99;&#123;&#50;&#125;&#123;&#53;&#125;&#92;&#92;&#92;&#97;&#108;&#112;&#104;&#97;&#32;&#38;&#61;&#32;&#92;&#116;&#97;&#110;&#94;&#123;&#45;&#49;&#125;&#92;&#108;&#101;&#102;&#116;&#40;&#32;&#45;&#92;&#102;&#114;&#97;&#99;&#123;&#50;&#125;&#123;&#53;&#125;&#32;&#92;&#114;&#105;&#103;&#104;&#116;&#41;&#92;&#92;&#92;&#97;&#108;&#112;&#104;&#97;&#38;&#61;&#45;&#50;&#49;&#123;&#44;&#125;&#56;&#48;&#32;&#92;&#108;&#100;&#111;&#116;&#115;&#94;&#123;&#92;&#99;&#105;&#114;&#99;&#125;&#32;&#92;&#97;&#112;&#112;&#114;&#111;&#120;&#32;&#45;&#50;&#49;&#123;&#44;&#125;&#56;&#94;&#123;&#92;&#99;&#105;&#114;&#99;&#125;&#92;&#101;&#110;&#100;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p><\/p>\n\n\n\n<div id=\"uusi\">330. b)<\/div>\n\n\n\n<p>Kirjoitetaan oleva yht\u00e4l\u00f6 ratkaistuun muotoon:<\/p>\n\n\n\n<p><p class=\"ql-center-displayed-equation\" style=\"line-height: 131px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-c28ffe7bb2c7786be7006dde6f05d682_l3.png\" height=\"131\" width=\"209\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;&#120;&#45;&#51;&#121;&#38;&#61;&#49;&#50;&#92;&#92;&#45;&#51;&#121;&#38;&#61;&#45;&#120;&#43;&#49;&#50;&#92;&#32;&#92;&#112;&#97;&#114;&#97;&#108;&#108;&#101;&#108;&#92;&#32;&#58;&#40;&#45;&#51;&#41;&#92;&#92;&#121;&#38;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#45;&#120;&#125;&#123;&#45;&#51;&#125;&#43;&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#50;&#125;&#123;&#45;&#51;&#125;&#92;&#92;&#121;&#38;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#51;&#125;&#120;&#45;&#52;&#92;&#101;&#110;&#100;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p><\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/330b2-1024x577.png\" alt=\"\" class=\"wp-image-374\" width=\"411\" height=\"231\" srcset=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/330b2-1024x577.png 1024w, https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/330b2-300x169.png 300w, https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/330b2-768x432.png 768w, https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/330b2.png 1579w\" sizes=\"auto, (max-width: 411px) 100vw, 411px\" \/><\/figure><\/div>\n\n\n\n<p>Suoran kulmakerroin <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-a507dfee7080e4e9fc0ba4129c09788e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#107;&#61;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#51;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"44\" style=\"vertical-align: -12px;\"\/>.<\/p>\n\n\n\n<p> Suuntakulma <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-82997067e1263adef17c7d0f0384a053_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#97;&#108;&#112;&#104;&#97;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"\/> on<\/p>\n\n\n\n<p> <p class=\"ql-center-displayed-equation\" style=\"line-height: 136px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-ee88b32db5a1079a0e7cae6891df9efe_l3.png\" height=\"136\" width=\"146\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;&#92;&#116;&#97;&#110;&#32;&#92;&#97;&#108;&#112;&#104;&#97;&#38;&#61;&#107;&#92;&#92;&#92;&#116;&#97;&#110;&#32;&#92;&#97;&#108;&#112;&#104;&#97;&#38;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#51;&#125;&#92;&#92;&#92;&#97;&#108;&#112;&#104;&#97;&#32;&#38;&#61;&#32;&#92;&#116;&#97;&#110;&#94;&#123;&#45;&#49;&#125;&#92;&#108;&#101;&#102;&#116;&#40;&#32;&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#51;&#125;&#32;&#92;&#114;&#105;&#103;&#104;&#116;&#41;&#92;&#92;&#92;&#97;&#108;&#112;&#104;&#97;&#38;&#61;&#49;&#56;&#123;&#44;&#125;&#52;&#51;&#32;&#92;&#108;&#100;&#111;&#116;&#115;&#94;&#123;&#92;&#99;&#105;&#114;&#99;&#125;&#32;&#92;&#101;&#110;&#100;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p> <\/p>\n\n\n\n<p>Suora leikkaa <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-1511b6d339e66309a4071bc95cfd9285_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"\/>-akselin kuvaan merkityss\u00e4 kulmassa <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-51338d6d72249ec09b5d3d17807dedee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#116;&#97;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"11\" style=\"vertical-align: -4px;\"\/>. Koska suuntakulma tarkoittaa suoran ja <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-edf6d5462aa989d30da6f7f7d6e93e0f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"\/>-akselin v\u00e4list\u00e4 kulmaa, ja koska koordinaattiakseleiden v\u00e4lill\u00e4 on suorakulma eli <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-c98a9e516d5f017f7abd87ccccb8e9bc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#57;&#48;&#94;&#123;&#92;&#99;&#105;&#114;&#99;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"25\" style=\"vertical-align: 0px;\"\/>, saadaan kysyksi kulmaksi<\/p>\n\n\n\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-3b468769bd3bf233c538f8f23396b3c4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#116;&#97;&#32;&#61;&#32;&#32;&#57;&#48;&#94;&#123;&#92;&#99;&#105;&#114;&#99;&#125;&#32;&#45;&#32;&#49;&#56;&#123;&#44;&#125;&#52;&#51;&#32;&#92;&#108;&#100;&#111;&#116;&#115;&#94;&#123;&#92;&#99;&#105;&#114;&#99;&#125;&#32;&#61;&#55;&#49;&#123;&#44;&#125;&#53;&#54;&#32;&#92;&#108;&#100;&#111;&#116;&#115;&#94;&#123;&#92;&#99;&#105;&#114;&#99;&#125;&#32;&#92;&#97;&#112;&#112;&#114;&#111;&#120;&#32;&#55;&#49;&#123;&#44;&#125;&#53;&#54;&#94;&#123;&#92;&#99;&#105;&#114;&#99;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"320\" style=\"vertical-align: -4px;\"\/><\/p>\n\n\n\n<div id=\"uusi\">331. a)<\/div>\n\n\n\n<p>Lasketaan suoran <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-50d5b04d54a7e3cde9e6b4ee10eb44f4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#49;&#120;&#43;&#51;&#121;&#43;&#54;&#61;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"130\" style=\"vertical-align: -4px;\"\/> ja <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-1511b6d339e66309a4071bc95cfd9285_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"\/>-akselin leikkauspiste. Siin\u00e4 <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-edf6d5462aa989d30da6f7f7d6e93e0f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"\/>-koordinaatti on <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-4653554d907f2cfef73e25d7ac5751f5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"\/>. Sijoitetaan <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-edf6d5462aa989d30da6f7f7d6e93e0f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"\/>:n paikalle <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-4653554d907f2cfef73e25d7ac5751f5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"\/> ja ratkaistaan <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-1511b6d339e66309a4071bc95cfd9285_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"\/>:<\/p>\n\n\n\n<p><p class=\"ql-center-displayed-equation\" style=\"line-height: 87px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-72fb6a16621e60ca9e724749c267e190_l3.png\" height=\"87\" width=\"204\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;&#49;&#49;&#32;&#92;&#99;&#100;&#111;&#116;&#32;&#48;&#32;&#43;&#51;&#121;&#43;&#54;&#38;&#61;&#48;&#92;&#92;&#51;&#121;&#38;&#61;&#45;&#54;&#92;&#32;&#92;&#112;&#97;&#114;&#97;&#108;&#108;&#101;&#108;&#92;&#32;&#58;&#51;&#92;&#92;&#121;&#38;&#61;&#45;&#92;&#102;&#114;&#97;&#99;&#123;&#54;&#125;&#123;&#51;&#125;&#61;&#45;&#50;&#92;&#101;&#110;&#100;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p><\/p>\n\n\n\n<p>Suora <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-7cdaa28f8216c79c2a678c7293795976_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"\/> leikkaa <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-1511b6d339e66309a4071bc95cfd9285_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"\/>-akselin pisteess\u00e4 <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-fd458066e0a5f0b4ce45aaa61d7d95a8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#48;&#44;&#45;&#50;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"52\" style=\"vertical-align: -4px;\"\/>.<\/p>\n\n\n\n<p>Koska suora <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-7cdaa28f8216c79c2a678c7293795976_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"\/> on yhdensuuntainen suoran <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-e9910bad05a376cf8d5ed286d07ff7db_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#120;&#45;&#121;&#43;&#49;&#61;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"113\" style=\"vertical-align: -4px;\"\/>  kanssa, niill\u00e4 on yht\u00e4 suuri kulmakerroin. Ratkaistaan suoran <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-e9910bad05a376cf8d5ed286d07ff7db_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#120;&#45;&#121;&#43;&#49;&#61;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"113\" style=\"vertical-align: -4px;\"\/> kulmakerroin:<\/p>\n\n\n\n<p> <p class=\"ql-center-displayed-equation\" style=\"line-height: 69px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-31504800bb5870e0fb846390c3f5db9e_l3.png\" height=\"69\" width=\"239\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;&#32;&#51;&#120;&#45;&#121;&#43;&#49;&#38;&#61;&#48;&#32;&#92;&#92;&#45;&#121;&#38;&#61;&#45;&#51;&#120;&#45;&#49;&#92;&#32;&#92;&#112;&#97;&#114;&#97;&#108;&#108;&#101;&#108;&#92;&#32;&#58;&#40;&#45;&#49;&#41;&#92;&#92;&#121;&#38;&#61;&#51;&#120;&#43;&#49;&#92;&#101;&#110;&#100;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p> <\/p>\n\n\n\n<p>Suoran <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-7cdaa28f8216c79c2a678c7293795976_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"\/> kulmakerroin on siis <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-05db02a331d82ee0cac16ca358fd4d43_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"\/> ja suora kulkee pisteen <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-fd458066e0a5f0b4ce45aaa61d7d95a8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#48;&#44;&#45;&#50;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"52\" style=\"vertical-align: -4px;\"\/> kautta. M\u00e4\u00e4ritet\u00e4\u00e4n suoran yht\u00e4l\u00f6:<\/p>\n\n\n\n<p><p class=\"ql-center-displayed-equation\" style=\"line-height: 16px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-091a08cdb5787eb5d5fbb18467a899b0_l3.png\" height=\"16\" width=\"81\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#91;&#121;&#61;&#51;&#120;&#45;&#50;&#92;&#93;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p><\/p>\n\n\n\n<p>Huom! Suoran yht\u00e4l\u00f6n voi m\u00e4\u00e4ritt\u00e4\u00e4 my\u00f6s sijoittamalla kulmakertoimen arvon ja pisteen  <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-fd458066e0a5f0b4ce45aaa61d7d95a8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#48;&#44;&#45;&#50;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"52\" style=\"vertical-align: -4px;\"\/> koordinaatit suoran yht\u00e4l\u00f6n lausekkeeseen <\/p>\n\n\n\n<p><p class=\"ql-center-displayed-equation\" style=\"line-height: 18px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-8f8977be38382e474bf99c6dd976b0d2_l3.png\" height=\"18\" width=\"143\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#91;&#121;&#45;&#121;&#95;&#48;&#61;&#107;&#40;&#120;&#45;&#120;&#95;&#48;&#41;&#92;&#93;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p><\/p>\n\n\n\n<p><p class=\"ql-center-displayed-equation\" style=\"line-height: 98px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-508025d3bc9f231abd46908e046641ac_l3.png\" height=\"98\" width=\"163\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;&#32;&#121;&#45;&#121;&#95;&#48;&#38;&#61;&#107;&#40;&#120;&#45;&#120;&#95;&#48;&#41;&#32;&#92;&#92;&#121;&#45;&#40;&#45;&#50;&#41;&#38;&#61;&#51;&#40;&#120;&#45;&#48;&#41;&#92;&#92;&#121;&#43;&#50;&#38;&#61;&#51;&#120;&#92;&#92;&#121;&#38;&#61;&#51;&#120;&#45;&#50;&#92;&#101;&#110;&#100;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p><\/p>\n\n\n\n<p><strong>Vastaus<\/strong>: Suoran yht\u00e4l\u00f6 on <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-10fd8b3f74d80a127ccd72dc79c2cf00_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#61;&#51;&#120;&#45;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"82\" style=\"vertical-align: -4px;\"\/> .<\/p>\n\n\n\n<div id=\"uusi\">331. b)<\/div>\n\n\n\n<p>Kun suora leikkaa <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-edf6d5462aa989d30da6f7f7d6e93e0f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"\/>-akselin, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-1511b6d339e66309a4071bc95cfd9285_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"\/>-koordinaatti on <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-4653554d907f2cfef73e25d7ac5751f5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"\/>.<\/p>\n\n\n\n<p> <p class=\"ql-center-displayed-equation\" style=\"line-height: 114px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-48e0fbe14997418deca6903c86bd00c3_l3.png\" height=\"114\" width=\"96\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;&#121;&#38;&#61;&#51;&#120;&#45;&#50;&#92;&#92;&#48;&#38;&#61;&#51;&#120;&#45;&#50;&#92;&#92;&#51;&#120;&#38;&#61;&#50;&#92;&#32;&#92;&#112;&#97;&#114;&#97;&#108;&#108;&#101;&#108;&#92;&#32;&#58;&#51;&#92;&#92;&#120;&#38;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#50;&#125;&#123;&#51;&#125;&#92;&#101;&#110;&#100;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p> <\/p>\n\n\n\n<p>Vastaus: Suora leikkaa <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-edf6d5462aa989d30da6f7f7d6e93e0f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"\/>-akselin pisteess\u00e4 <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-239205169d984a339363ac6629c2fdf9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#50;&#125;&#123;&#51;&#125;&#44;&#48;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"50\" style=\"vertical-align: -17px;\"\/>.<\/p>\n\n\n\n<div id=\"uusi\">331. c)<\/div>\n\n\n\n<p>Suora kulkee pisteen <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-31db443330d926599420cd1839a6738c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#49;&#44;&#32;&#49;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"38\" style=\"vertical-align: -4px;\"\/> kautta, jos piste toteuttaa suoran yht\u00e4l\u00f6n.  <\/p>\n\n\n\n<p><p class=\"ql-center-displayed-equation\" style=\"line-height: 93px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-df681e99dfef48cd6ed17d0228316b5d_l3.png\" height=\"93\" width=\"93\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;&#121;&#38;&#61;&#51;&#120;&#45;&#50;&#92;&#92;&#49;&#38;&#61;&#51;&#32;&#92;&#99;&#100;&#111;&#116;&#32;&#49;&#32;&#45;&#50;&#92;&#92;&#49;&#38;&#61;&#51;&#45;&#50;&#92;&#92;&#49;&#38;&#61;&#49;&#92;&#101;&#110;&#100;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p><\/p>\n\n\n\n<p>Piste toteuttaa suoran yht\u00e4l\u00f6n, joten se on suoralla.<br><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Kotiteht\u00e4v\u00e4t<\/strong> <\/h2>\n\n\n\n<ul class=\"wp-block-list\"><li><strong>Luku 3.1 Suoran suunta<\/strong>: 302, 314,  319. <\/li><li><strong>Luku 3.2 Suoran yht\u00e4l\u00f6<\/strong>:  322, 327bcd, 332, 340. <\/li><\/ul>\n\n\n\n<div id=\"uusi\">302. a)<\/div>\n\n\n\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-65c7acbe6a366b53647ed71e03c05055_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#107;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#57;&#45;&#53;&#125;&#123;&#49;&#45;&#40;&#45;&#51;&#41;&#125;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#52;&#125;&#123;&#52;&#125;&#61;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"172\" style=\"vertical-align: -16px;\"\/><\/p>\n\n\n\n<div id=\"uusi\">302. b)<\/div>\n\n\n\n<p> <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-208c0d899cf7f111056f5538a2fa78c7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#107;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#55;&#45;&#55;&#125;&#123;&#45;&#51;&#45;&#49;&#51;&#125;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#48;&#125;&#123;&#45;&#49;&#54;&#125;&#61;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"191\" style=\"vertical-align: -13px;\"\/> <\/p>\n\n\n\n<div id=\"uusi\">302. c)<\/div>\n\n\n\n<p> <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-7aa2d7ebd5512c8ad3da1a14212a945c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#107;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#51;&#45;&#57;&#125;&#123;&#56;&#45;&#56;&#125;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#52;&#125;&#123;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"120\" style=\"vertical-align: -12px;\"\/> <\/p>\n\n\n\n<p>Koska nimitt\u00e4j\u00e4 on <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-4653554d907f2cfef73e25d7ac5751f5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"\/>, suoralla ei ole kulmakerrointa.<\/p>\n\n\n\n<div id=\"uusi\">312.<\/div>\n\n\n\n<p>Suora kulkee pisteiden <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-6ad410e569dafd1aa664f0e96221c4ee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#45;&#52;&#44;&#32;&#51;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"51\" style=\"vertical-align: -4px;\"\/> ja <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-aff9e8ec1ea0e9be68cbe6f1ca03db7f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#52;&#44;&#32;&#45;&#50;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"52\" style=\"vertical-align: -4px;\"\/> kautta, joten sen kulmakerroin on  <\/p>\n\n\n\n<p> <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-852d3eaef540f20ba50183f0ed0cc610_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#107;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#45;&#50;&#45;&#51;&#125;&#123;&#52;&#45;&#40;&#45;&#52;&#41;&#125;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#45;&#53;&#125;&#123;&#56;&#125;&#61;&#45;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#53;&#125;&#123;&#56;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"203\" style=\"vertical-align: -16px;\"\/> <\/p>\n\n\n\n<p>Jos jokin piste <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-7aabaff039215cd84cbcae0f8f23623d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;&#61;&#40;&#52;&#52;&#44;&#45;&#51;&#55;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"107\" style=\"vertical-align: -4px;\"\/>, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-c77cea96aa996dd83b737940d41c91b5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#66;&#61;&#40;&#45;&#52;&#48;&#44;&#50;&#54;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"108\" style=\"vertical-align: -4px;\"\/> tai <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-7fc7b3c5ea582cbe590d76c87c568747_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#67;&#61;&#40;&#49;&#48;&#48;&#44;&#45;&#54;&#50;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"117\" style=\"vertical-align: -4px;\"\/> on suoralla, t\u00e4ytyy pisteest\u00e4 <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-73be76342e1eeded16e75d927c4f69ae_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#45;&#52;&#44;&#51;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"51\" style=\"vertical-align: -4px;\"\/> pisteisiin <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-07b1ce040c95b146f97c947b6776383f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"13\" style=\"vertical-align: 0px;\"\/>, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-a5142ffc089d2df753dd20966a3d4881_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#66;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"\/> ja <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-80fc70eb30b18f9c8307c5d121c42bf5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#67;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"\/> kulkevien suorien kulmakertoimien olla samoin  <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-d8934bc20e868a7e7cf07449967d0046_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#45;&#53;&#125;&#123;&#56;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"23\" style=\"vertical-align: -12px;\"\/>. Lasketaan kulmakertoimet.<\/p>\n\n\n\n<p>Pisteet  <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-73be76342e1eeded16e75d927c4f69ae_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#45;&#52;&#44;&#51;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"51\" style=\"vertical-align: -4px;\"\/> ja   <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-7aabaff039215cd84cbcae0f8f23623d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;&#61;&#40;&#52;&#52;&#44;&#45;&#51;&#55;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"107\" style=\"vertical-align: -4px;\"\/><\/p>\n\n\n\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-f5156a7426aef5f257b64911a58d61b3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#107;&#95;&#65;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#45;&#51;&#55;&#45;&#51;&#125;&#123;&#52;&#52;&#45;&#40;&#45;&#52;&#41;&#125;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#45;&#52;&#48;&#125;&#123;&#52;&#56;&#125;&#94;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#40;&#56;&#125;&#125;&#61;&#45;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#53;&#125;&#123;&#54;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"244\" style=\"vertical-align: -16px;\"\/>  <\/p>\n\n\n\n<p>Koska <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-b23e90d8be7a292da3d0d9c59f0095a1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#45;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#53;&#125;&#123;&#54;&#125;&#32;&#92;&#110;&#101;&#113;&#32;&#32;&#45;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#53;&#125;&#123;&#56;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"74\" style=\"vertical-align: -12px;\"\/>, piste <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-07b1ce040c95b146f97c947b6776383f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"13\" style=\"vertical-align: 0px;\"\/> ei ole suoralla.<\/p>\n\n\n\n<p> Pisteet  <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-73be76342e1eeded16e75d927c4f69ae_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#45;&#52;&#44;&#51;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"51\" style=\"vertical-align: -4px;\"\/> ja   <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-c77cea96aa996dd83b737940d41c91b5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#66;&#61;&#40;&#45;&#52;&#48;&#44;&#50;&#54;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"108\" style=\"vertical-align: -4px;\"\/> <\/p>\n\n\n\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-d1083febd38a815ab55a7ff79df631ca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#107;&#95;&#66;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#50;&#54;&#45;&#51;&#125;&#123;&#45;&#52;&#48;&#45;&#40;&#45;&#52;&#41;&#125;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#50;&#51;&#125;&#123;&#45;&#51;&#54;&#125;&#61;&#45;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#50;&#51;&#125;&#123;&#45;&#51;&#54;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"269\" style=\"vertical-align: -16px;\"\/>  <\/p>\n\n\n\n<p> Koska <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-9b6da92dfc8e888331e02f28a13c54a3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#45;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#50;&#51;&#125;&#123;&#51;&#54;&#125;&#32;&#92;&#110;&#101;&#113;&#32;&#32;&#45;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#53;&#125;&#123;&#56;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"83\" style=\"vertical-align: -12px;\"\/>, piste <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-07b1ce040c95b146f97c947b6776383f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"13\" style=\"vertical-align: 0px;\"\/> ei ole suoralla. <\/p>\n\n\n\n<p> Pisteet  <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-73be76342e1eeded16e75d927c4f69ae_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#45;&#52;&#44;&#51;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"51\" style=\"vertical-align: -4px;\"\/> ja   <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-9b7b431ca76ec3cc5f614b14fab79707_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#67;&#61;&#32;&#40;&#49;&#48;&#48;&#44;&#45;&#54;&#50;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"117\" style=\"vertical-align: -4px;\"\/> <\/p>\n\n\n\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-fdce3d82e8f2bc22314be3d2decbea79_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#107;&#95;&#67;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#45;&#54;&#50;&#45;&#51;&#125;&#123;&#49;&#48;&#48;&#45;&#40;&#45;&#52;&#41;&#125;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#45;&#54;&#53;&#125;&#123;&#49;&#48;&#52;&#125;&#32;&#94;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#40;&#49;&#51;&#125;&#125;&#32;&#61;&#45;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#53;&#125;&#123;&#56;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"260\" style=\"vertical-align: -16px;\"\/>  <\/p>\n\n\n\n<p>  Koska <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-31deb8bd89302fe9dccf51cb723e38e3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#45;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#53;&#125;&#123;&#56;&#125;&#32;&#61;&#32;&#32;&#45;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#53;&#125;&#123;&#56;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"74\" style=\"vertical-align: -12px;\"\/>, piste <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-80fc70eb30b18f9c8307c5d121c42bf5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#67;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"\/> on suoralla.  <\/p>\n\n\n\n<div id=\"uusi\">314. a)<\/div>\n\n\n\n<p>Suuntavektorin <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-45c3c2498da16180e06f044a5a2aacba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#45;&#92;&#111;&#118;&#101;&#114;&#108;&#105;&#110;&#101;&#123;&#105;&#125;&#43;&#50;&#92;&#111;&#118;&#101;&#114;&#108;&#105;&#110;&#101;&#123;&#106;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"59\" style=\"vertical-align: -4px;\"\/> suuntaisen suoran kulmakerroin <\/p>\n\n\n\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-ccbcd3c7c8dd728b8f0d6a12dbe0e0b0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#107;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#50;&#125;&#123;&#45;&#49;&#125;&#61;&#45;&#50;&#32;&#92;&#110;&#101;&#113;&#32;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"133\" style=\"vertical-align: -7px;\"\/> . Suorat eiv\u00e4t ole yhdensuuntaiset.<\/p>\n\n\n\n<div id=\"uusi\">314. b)<\/div>\n\n\n\n<p>Kulmakerroin <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-375809a78d7d80720188bf2629f593a5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#107;&#61;&#92;&#116;&#97;&#110;&#32;&#40;&#45;&#52;&#53;&#41;&#94;&#123;&#92;&#99;&#105;&#114;&#99;&#125;&#61;&#45;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"158\" style=\"vertical-align: -4px;\"\/> . Suorat ovat yhdensuuntaiset.<\/p>\n\n\n\n<div id=\"uusi\">314. c)<\/div>\n\n\n\n<p>Suuntavektorin  <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-6de4e997a1b7e2da38c130dadc5200e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#92;&#111;&#118;&#101;&#114;&#108;&#105;&#110;&#101;&#123;&#105;&#125;&#43;&#50;&#32;&#92;&#111;&#118;&#101;&#114;&#108;&#105;&#110;&#101;&#123;&#106;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"55\" style=\"vertical-align: -4px;\"\/>  suuntaisen suoran kulmakerroin <p class=\"ql-center-displayed-equation\" style=\"line-height: 36px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-8e77b6283cbedc8c3f1b2e1ec75dfc5c_l3.png\" height=\"36\" width=\"44\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#91;&#107;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#50;&#125;&#123;&#51;&#125;&#92;&#93;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p> ja suoran <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-098fd5120d388d021c2aaa2ee2fdd27f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#98;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"8\" style=\"vertical-align: 0px;\"\/>  kulmakerroin <p class=\"ql-center-displayed-equation\" style=\"line-height: 41px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-c983583a08faf42664b3c4cf1d916d3a_l3.png\" height=\"41\" width=\"176\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#91;&#107;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#57;&#45;&#53;&#125;&#123;&#52;&#45;&#40;&#45;&#50;&#41;&#125;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#52;&#125;&#123;&#54;&#125;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#50;&#125;&#123;&#51;&#125;&#92;&#93;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p><\/p>\n\n\n\n<p>Suorat ovat yhdensuuntaiset.<\/p>\n\n\n\n<div id=\"uusi\">319. a)<\/div>\n\n\n\n<p>Piste <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-b608216b6c1c78019fcadfc77c220556_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"\/> on funktion <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-46a5a669755bef0af15dc44c9a7aae88_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#102;&#40;&#120;&#41;&#61;&#45;&#120;&#94;&#51;&#43;&#50;&#120;&#94;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"137\" style=\"vertical-align: -4px;\"\/>  kuvaajalla, joten pisteen <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-b608216b6c1c78019fcadfc77c220556_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"\/> <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-1511b6d339e66309a4071bc95cfd9285_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"\/>-koordinaatti on <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-739c836be5ba4185be93b553e6f5b7de_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#61;&#102;&#40;&#120;&#41;&#61;&#45;&#120;&#94;&#51;&#43;&#50;&#120;&#94;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"170\" style=\"vertical-align: -4px;\"\/>.<\/p>\n\n\n\n<p>Piste <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-b608216b6c1c78019fcadfc77c220556_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"\/> on siten <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-2707d960c0777905032acd6f85d439ae_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#120;&#44;&#45;&#120;&#94;&#51;&#43;&#50;&#120;&#94;&#50;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"110\" style=\"vertical-align: -7px;\"\/>.<\/p>\n\n\n\n<p>Origon <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-0d61819dd4f83545e369543e301a4304_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#48;&#44;&#48;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"38\" style=\"vertical-align: -4px;\"\/> ja pisteen <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-b608216b6c1c78019fcadfc77c220556_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"\/> kautta kulkevan suoran kulmakerroin on<\/p>\n\n\n\n<p><p class=\"ql-center-displayed-equation\" style=\"line-height: 39px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-52aba6afdebb1cef90e6bc328616944f_l3.png\" height=\"39\" width=\"355\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#91;&#107;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#45;&#120;&#94;&#51;&#43;&#50;&#120;&#94;&#50;&#45;&#48;&#125;&#123;&#120;&#45;&#48;&#125;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#45;&#120;&#94;&#51;&#125;&#123;&#120;&#125;&#43;&#92;&#102;&#114;&#97;&#99;&#123;&#50;&#120;&#94;&#50;&#125;&#123;&#120;&#125;&#61;&#45;&#120;&#94;&#50;&#43;&#50;&#120;&#92;&#93;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p><\/p>\n\n\n\n<p>T\u00e4m\u00e4n kulmakertoimen tulee olla <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-05db02a331d82ee0cac16ca358fd4d43_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"\/>. Saadaan siis yht\u00e4l\u00f6, josta ratkaistaan <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-edf6d5462aa989d30da6f7f7d6e93e0f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"\/>.<\/p>\n\n\n\n<p><p class=\"ql-center-displayed-equation\" style=\"line-height: 242px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-8bc21c5c8e33f128e6460bae9e5406fa_l3.png\" height=\"242\" width=\"335\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;&#45;&#120;&#94;&#50;&#43;&#50;&#120;&#38;&#61;&#45;&#51;&#92;&#92;&#45;&#120;&#94;&#50;&#43;&#50;&#120;&#43;&#51;&#38;&#61;&#48;&#92;&#92;&#120;&#38;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#45;&#50;&#32;&#92;&#112;&#109;&#32;&#92;&#115;&#113;&#114;&#116;&#123;&#50;&#94;&#50;&#45;&#52;&#32;&#92;&#99;&#100;&#111;&#116;&#32;&#40;&#45;&#49;&#41;&#32;&#92;&#99;&#100;&#111;&#116;&#32;&#40;&#45;&#51;&#41;&#125;&#125;&#123;&#50;&#32;&#92;&#99;&#100;&#111;&#116;&#32;&#40;&#45;&#49;&#41;&#125;&#92;&#92;&#120;&#38;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#45;&#50;&#32;&#92;&#112;&#109;&#32;&#92;&#115;&#113;&#114;&#116;&#123;&#52;&#43;&#49;&#50;&#125;&#125;&#123;&#45;&#50;&#125;&#92;&#92;&#120;&#38;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#45;&#50;&#32;&#92;&#112;&#109;&#32;&#92;&#115;&#113;&#114;&#116;&#123;&#49;&#54;&#125;&#125;&#123;&#45;&#50;&#125;&#92;&#92;&#120;&#38;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#45;&#50;&#32;&#92;&#112;&#109;&#52;&#125;&#123;&#45;&#50;&#125;&#92;&#101;&#110;&#100;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p><\/p>\n\n\n\n<p>Saadaan<\/p>\n\n\n\n<p><p class=\"ql-center-displayed-equation\" style=\"line-height: 103px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-1c18611523b0fddeb34c5d0a80931256_l3.png\" height=\"103\" width=\"90\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;&#120;&#38;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#45;&#50;&#45;&#52;&#125;&#123;&#45;&#50;&#125;&#92;&#92;&#120;&#38;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#45;&#54;&#125;&#123;&#45;&#50;&#125;&#92;&#92;&#120;&#38;&#61;&#51;&#92;&#101;&#110;&#100;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p><\/p>\n\n\n\n<p>tai<\/p>\n\n\n\n<p> <p class=\"ql-center-displayed-equation\" style=\"line-height: 104px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-d855a63613710f52d453d50c8dc569eb_l3.png\" height=\"104\" width=\"90\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;&#120;&#38;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#45;&#50;&#43;&#52;&#125;&#123;&#45;&#50;&#125;&#92;&#92;&#120;&#38;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#50;&#125;&#123;&#45;&#50;&#125;&#92;&#92;&#120;&#38;&#61;&#45;&#49;&#92;&#101;&#110;&#100;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p> <\/p>\n\n\n\n<p>Lasketaan <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-b343a3a34df035a1e8f5c84a6b8e04ed_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#61;&#102;&#40;&#120;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"67\" style=\"vertical-align: -4px;\"\/>:n arvot:<\/p>\n\n\n\n<p>Kun <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-732cddb432a1a418072487243e47039a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#61;&#45;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"56\" style=\"vertical-align: -1px;\"\/>,  <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-a35ea57f5070c72df76f95f3d0558f5b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#61;&#102;&#40;&#45;&#49;&#41;&#61;&#45;&#40;&#45;&#49;&#41;&#94;&#51;&#43;&#50;&#32;&#92;&#99;&#100;&#111;&#116;&#32;&#40;&#45;&#49;&#41;&#94;&#50;&#61;&#49;&#43;&#50;&#61;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"345\" style=\"vertical-align: -4px;\"\/>.<\/p>\n\n\n\n<p>Kun <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-1cd53b936d250e712d52f088b7a5ccc0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#61;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"43\" style=\"vertical-align: 0px;\"\/>, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-d95679188a498ec0bdf2c467dd9abcc3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#61;&#102;&#40;&#51;&#41;&#61;&#45;&#51;&#94;&#51;&#43;&#50;&#32;&#92;&#99;&#100;&#111;&#116;&#32;&#51;&#94;&#50;&#61;&#45;&#50;&#55;&#43;&#32;&#50;&#32;&#92;&#99;&#100;&#111;&#116;&#32;&#57;&#61;&#45;&#50;&#55;&#43;&#49;&#56;&#61;&#45;&#57;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"429\" style=\"vertical-align: -4px;\"\/>.<\/p>\n\n\n\n<p>Vastaus: Kulmakerroin on <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-a7d9f62c4ec3728225eae2524ff9a00c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#45;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"22\" style=\"vertical-align: 0px;\"\/>, kun piste <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-b075d395fce16631886eb99881841382_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;&#61;&#40;&#45;&#49;&#44;&#51;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"90\" style=\"vertical-align: -4px;\"\/> tai <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-b9ac3bcc0b43353648c921b4b1cd38b0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;&#61;&#40;&#51;&#44;&#45;&#57;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"90\" style=\"vertical-align: -4px;\"\/>.<\/p>\n\n\n\n<div id=\"uusi\">319. b)<\/div>\n\n\n\n<p>Kulmakerroin on positiivinen, kun <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-6f38de025526663076a71212da7a2975_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#107;&#32;&#61;&#32;&#8722;&#120;&#94;&#50;&#32;&#43;&#32;&#50;&#120;&#32;&#62;&#32;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"125\" style=\"vertical-align: -2px;\"\/>.<br>Lausekkeen <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-8358aa23961818acc348f08c18aa6d40_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#8722;&#120;&#94;&#50;&#32;&#43;&#32;&#50;&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"58\" style=\"vertical-align: -2px;\"\/> kuvaaja on alasp\u00e4in aukeava paraabeli.<br> Ratkaistaan nollakohdat.<\/p>\n\n\n\n<p><p class=\"ql-center-displayed-equation\" style=\"line-height: 70px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-6da39806a334ce036326b4c9fc1158ec_l3.png\" height=\"70\" width=\"185\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;&#45;&#120;&#94;&#50;&#43;&#50;&#120;&#38;&#61;&#48;&#92;&#92;&#120;&#40;&#45;&#120;&#43;&#50;&#41;&#38;&#61;&#48;&#92;&#92;&#120;&#38;&#61;&#48;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#116;&#97;&#105;&#125;&#92;&#32;&#120;&#61;&#50;&#92;&#101;&#110;&#100;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p><\/p>\n\n\n\n<p>Lausekkeen kuvaaja on alasp\u00e4in aukeneva paraabeli, jolla on kaksi nollakohtaa.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/319b2.png\" alt=\"\" class=\"wp-image-395\" width=\"263\" height=\"202\" srcset=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/319b2.png 459w, https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/319b2-300x231.png 300w\" sizes=\"auto, (max-width: 263px) 100vw, 263px\" \/><\/figure><\/div>\n\n\n\n<p>Arvot ovat positiivisia eli  <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-8f78afa6b37253c0514b9a1887cdcd9c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#45;&#120;&#94;&#50;&#43;&#50;&#120;&#62;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"104\" style=\"vertical-align: -2px;\"\/> , kun <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-d651479d017ccd314d72c6f82cc63062_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#48;&#60;&#120;&#60;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"74\" style=\"vertical-align: 0px;\"\/>.<\/p>\n\n\n\n<div id=\"uusi\">319. c)<\/div>\n\n\n\n<p>Kulmakertoimen lauseke <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-7db5380dc62505b69cb761bc11f46dae_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#107;&#32;&#61;&#32;&#8722;&#120;&#94;&#50;&#32;&#43;&#32;&#50;&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"92\" style=\"vertical-align: -2px;\"\/> saa suurimman arvonsa paraabelin huipussa, joka on nollakohtien puoliv\u00e4liss\u00e4, kohdassa <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-a81702782492dd18e9db3a68fb740c8a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#32;&#61;&#32;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"42\" style=\"vertical-align: -1px;\"\/>.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/319c2.png\" alt=\"\" class=\"wp-image-398\" width=\"286\" height=\"221\" srcset=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/319c2.png 463w, https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/319c2-300x231.png 300w\" sizes=\"auto, (max-width: 286px) 100vw, 286px\" \/><\/figure><\/div>\n\n\n\n<p>T\u00e4ll\u00f6in <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-1511b6d339e66309a4071bc95cfd9285_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"\/>-koordinaatti on <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-2ef4c4eeae14faecb32d28ab696614f7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#61;&#102;&#40;&#49;&#41;&#61;&#45;&#49;&#94;&#51;&#43;&#50;&#32;&#92;&#99;&#100;&#111;&#116;&#32;&#49;&#94;&#50;&#32;&#61;&#45;&#49;&#43;&#50;&#61;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"289\" style=\"vertical-align: -4px;\"\/>.<\/p>\n\n\n\n<p>Piste <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-ed21eb6e4fad84550e268dbacc54c5af_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;&#61;&#40;&#49;&#44;&#49;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"76\" style=\"vertical-align: -4px;\"\/>.<\/p>\n\n\n\n<p><\/p>\n\n\n\n<div id=\"uusi\">322. a)<\/div>\n\n\n\n<p>Suora kulkee pisteen <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-7386ca142ee53de28b0354fa25742c7d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#53;&#44;&#55;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"38\" style=\"vertical-align: -4px;\"\/> kautta.<\/p>\n\n\n\n<p>Koska suora on <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-edf6d5462aa989d30da6f7f7d6e93e0f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"\/>-akselin suuntainen, sen kulmakerroin <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-a72ce56552544ee04b274a21748815a6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#107;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"9\" style=\"vertical-align: 0px;\"\/> on nolla.<br>Suoran yht\u00e4l\u00f6 <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-fbd0c9dd16a691d63050385858aaeca8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#32;&#61;&#32;&#55;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"42\" style=\"vertical-align: -4px;\"\/>.<\/p>\n\n\n\n<p>T\u00e4m\u00e4n voi my\u00f6s kirjoittaa suoran yht\u00e4l\u00f6n lausekkeella:<\/p>\n\n\n\n<p><p class=\"ql-center-displayed-equation\" style=\"line-height: 98px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-65c610fc8bf4cc36e723bee1432ccacf_l3.png\" height=\"98\" width=\"147\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;&#121;&#45;&#121;&#95;&#48;&#38;&#61;&#107;&#40;&#120;&#45;&#120;&#95;&#48;&#41;&#92;&#92;&#32;&#121;&#45;&#55;&#38;&#61;&#48;&#32;&#92;&#99;&#100;&#111;&#116;&#40;&#120;&#45;&#53;&#41;&#92;&#92;&#121;&#45;&#55;&#38;&#61;&#48;&#92;&#92;&#121;&#38;&#61;&#55;&#92;&#101;&#110;&#100;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p><\/p>\n\n\n\n<div id=\"uusi\">322. b)<\/div>\n\n\n\n<p>Koska suora on <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-1511b6d339e66309a4071bc95cfd9285_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"\/>-akselin suuntainen, sill\u00e4 ei ole kulmakerrointa.<br>Suoran yht\u00e4l\u00f6 on siten <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-eeb15af0a3fa3cb2f7ad69a944691ac0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#32;&#61;&#32;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"42\" style=\"vertical-align: 0px;\"\/>.  <br><\/p>\n\n\n\n<div id=\"uusi\">327. b)<\/div>\n\n\n\n<p>Suoran yht\u00e4l\u00f6 normaalimuodossa on <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-1ac425f4f6ff8d0b37efbe3deea10276_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#120;&#45;&#50;&#121;&#45;&#50;&#61;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"122\" style=\"vertical-align: -4px;\"\/>.<br>Kirjoitetaan suoran yht\u00e4l\u00f6 ratkaistussa muodossa.<\/p>\n\n\n\n<p><p class=\"ql-center-displayed-equation\" style=\"line-height: 131px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-ada680e6f5f4ba42b085a00cc397325c_l3.png\" height=\"131\" width=\"248\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;&#32;&#51;&#120;&#45;&#50;&#121;&#45;&#50;&#38;&#61;&#48;&#32;&#92;&#92;&#45;&#50;&#121;&#38;&#61;&#45;&#51;&#120;&#43;&#50;&#92;&#32;&#92;&#112;&#97;&#114;&#97;&#108;&#108;&#101;&#108;&#92;&#32;&#58;&#40;&#45;&#50;&#41;&#92;&#92;&#121;&#38;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#45;&#51;&#120;&#125;&#123;&#45;&#50;&#125;&#43;&#92;&#102;&#114;&#97;&#99;&#123;&#50;&#125;&#123;&#45;&#50;&#125;&#92;&#92;&#121;&#38;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#51;&#125;&#123;&#50;&#125;&#120;&#45;&#49;&#92;&#101;&#110;&#100;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p><\/p>\n\n\n\n<p>T\u00e4st\u00e4 muodosta n\u00e4hd\u00e4\u00e4n, ett\u00e4 suoran kulmakerroin on <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-edfc4bbcb0ed37f5e6cebe40e48e6697_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#51;&#125;&#123;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"9\" style=\"vertical-align: -12px;\"\/>. Suoran ja <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-1511b6d339e66309a4071bc95cfd9285_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"\/>-akselin leikkauspiste on kohdassa <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-381a025069b50acf90fa0b2a10e11294_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#61;&#45;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"55\" style=\"vertical-align: -4px;\"\/>.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/322b3_1.png\" alt=\"\" class=\"wp-image-408\" width=\"230\" height=\"240\" srcset=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/322b3_1.png 719w, https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/322b3_1-286x300.png 286w\" sizes=\"auto, (max-width: 230px) 100vw, 230px\" \/><\/figure><\/div>\n\n\n\n<div id=\"uusi\">327. c)<\/div>\n\n\n\n<p>Suora on pystysuora <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-fa35123a2caca6bc6d9a8e58dc2f8f63_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#61;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"42\" style=\"vertical-align: -1px;\"\/>.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/327c2.png\" alt=\"\" class=\"wp-image-410\" width=\"238\" height=\"208\" srcset=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/327c2.png 711w, https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/327c2-300x262.png 300w\" sizes=\"auto, (max-width: 238px) 100vw, 238px\" \/><\/figure><\/div>\n\n\n\n<div id=\"uusi\">327. d)<\/div>\n\n\n\n<p>Suora <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-bb4b447cf72b526a9d2fd62b4b860654_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#43;&#51;&#61;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"72\" style=\"vertical-align: -4px;\"\/> on ratkaistussa muodossa <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-2d30d996f1498e879f481b8d8cd459ae_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#61;&#45;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"56\" style=\"vertical-align: -4px;\"\/>. Suora on vaakasuora ja leikkaa <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-1511b6d339e66309a4071bc95cfd9285_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"\/>-akselin kohdassa <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-a7d9f62c4ec3728225eae2524ff9a00c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#45;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"22\" style=\"vertical-align: 0px;\"\/>.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/327d2_1.png\" alt=\"\" class=\"wp-image-413\" width=\"204\" height=\"232\" srcset=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/327d2_1.png 575w, https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/327d2_1-264x300.png 264w\" sizes=\"auto, (max-width: 204px) 100vw, 204px\" \/><\/figure><\/div>\n\n\n\n<div id=\"uusi\">332. a)<\/div>\n\n\n\n<p>Saadaan yht\u00e4l\u00f6 <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-27fa01650573ed8365ebb58095fbb92b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#45;&#121;&#61;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"73\" style=\"vertical-align: -4px;\"\/>, joka ratkaistussa muodossa on <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-5d8f28d09cbce06b20cd241047a39e1f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#61;&#120;&#45;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"73\" style=\"vertical-align: -4px;\"\/> .<\/p>\n\n\n\n<p>T\u00e4m\u00e4n suoran kulmakerroin on <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-1fead2774e8b11a333e189478cefe74e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"7\" style=\"vertical-align: -1px;\"\/>, ja se leikkaa <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-1511b6d339e66309a4071bc95cfd9285_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"\/>-akselin pisteess\u00e4 <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-c43f4514ed1c7d1ef672ef55a2250848_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#48;&#44;&#45;&#49;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"52\" style=\"vertical-align: -4px;\"\/> .<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/332a2.png\" alt=\"\" class=\"wp-image-416\" width=\"198\" height=\"224\" srcset=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/332a2.png 603w, https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/332a2-266x300.png 266w\" sizes=\"auto, (max-width: 198px) 100vw, 198px\" \/><\/figure><\/div>\n\n\n\n<div id=\"uusi\">332. b)<\/div>\n\n\n\n<p class=\"has-text-align-center\">Suoran yht\u00e4l\u00f6 on <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-10d4134ac054440f510100700a4a95df_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#50;&#125;&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"56\" style=\"vertical-align: -12px;\"\/><\/p>\n\n\n\n<p>Ratkaistaan <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-1511b6d339e66309a4071bc95cfd9285_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"\/>:<\/p>\n\n\n\n<p><p class=\"ql-center-displayed-equation\" style=\"line-height: 88px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-e5c95986e301bb61ea1005516b438162_l3.png\" height=\"88\" width=\"109\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;&#32;&#120;&#38;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#50;&#125;&#121;&#32;&#92;&#32;&#92;&#112;&#97;&#114;&#97;&#108;&#108;&#101;&#108;&#92;&#32;&#92;&#99;&#100;&#111;&#116;&#32;&#50;&#92;&#92;&#50;&#120;&#38;&#61;&#121;&#92;&#92;&#121;&#38;&#61;&#50;&#120;&#92;&#101;&#110;&#100;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p><\/p>\n\n\n\n<p>T\u00e4m\u00e4n suoran kulmakerroin on <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-00ac69dabbb1414f319584b1b7797538_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"\/>, ja se leikkaa <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-1511b6d339e66309a4071bc95cfd9285_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"\/>-akselin origossa.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/332b2.png\" alt=\"\" class=\"wp-image-420\" width=\"189\" height=\"207\" srcset=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/332b2.png 559w, https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/332b2-274x300.png 274w\" sizes=\"auto, (max-width: 189px) 100vw, 189px\" \/><\/figure><\/div>\n\n\n\n<div id=\"uusi\">332. c)<\/div>\n\n\n\n<p>Suoran yht\u00e4l\u00f6 on <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-18cf517cef51d0e2380516ad25a21d8e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#120;&#43;&#121;&#125;&#123;&#50;&#125;&#61;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"35\" width=\"76\" style=\"vertical-align: -12px;\"\/>. Ratkaistaan <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-1511b6d339e66309a4071bc95cfd9285_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"\/>.<\/p>\n\n\n\n<p><p class=\"ql-center-displayed-equation\" style=\"line-height: 88px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-a52d4edfb7735f788098f1189604c19b_l3.png\" height=\"88\" width=\"122\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;&#32;&#92;&#102;&#114;&#97;&#99;&#123;&#120;&#43;&#121;&#125;&#123;&#50;&#125;&#38;&#61;&#51;&#92;&#32;&#92;&#112;&#97;&#114;&#97;&#108;&#108;&#101;&#108;&#92;&#32;&#92;&#99;&#100;&#111;&#116;&#32;&#50;&#32;&#92;&#92;&#120;&#43;&#121;&#38;&#61;&#54;&#92;&#92;&#121;&#38;&#61;&#45;&#120;&#43;&#54;&#92;&#101;&#110;&#100;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p><\/p>\n\n\n\n<p>T\u00e4m\u00e4n suoran kulmakerroin on <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-76ba9e0d80b3f7f53f43dfde22e2a166_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#45;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"21\" style=\"vertical-align: -1px;\"\/>, ja se leikkaa <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-1511b6d339e66309a4071bc95cfd9285_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"\/>-akselin pisteess\u00e4 <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-fa970faf635e214d1d4d29bdd8f433ab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#48;&#44;&#54;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"38\" style=\"vertical-align: -4px;\"\/>.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/332c2.png\" alt=\"\" class=\"wp-image-423\" width=\"217\" height=\"213\" srcset=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/332c2.png 871w, https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/332c2-300x295.png 300w, https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/332c2-768x756.png 768w\" sizes=\"auto, (max-width: 217px) 100vw, 217px\" \/><\/figure><\/div>\n\n\n\n<div id=\"uusi\">340. a)<\/div>\n\n\n\n<p>Suora <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-f14f915745141f309877476129efccd2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#50;&#125;&#120;&#43;&#98;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"86\" style=\"vertical-align: -12px;\"\/> leikkaa <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-1511b6d339e66309a4071bc95cfd9285_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"\/>-akselin pisteess\u00e4 <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-f4e051796fb55756aa0039be27f3c43e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#48;&#44;&#98;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"37\" style=\"vertical-align: -4px;\"\/>.<\/p>\n\n\n\n<p>Ratkaistaan <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-edf6d5462aa989d30da6f7f7d6e93e0f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"\/>-akselin leikkauskohta. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-edf6d5462aa989d30da6f7f7d6e93e0f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"\/>-akselilla <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-341efa8b029c5304f53e4050cff1aef4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#61;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"42\" style=\"vertical-align: -4px;\"\/>.<\/p>\n\n\n\n<p><p class=\"ql-center-displayed-equation\" style=\"line-height: 100px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-060602b29d06a6aeea4fd0ca870111f8_l3.png\" height=\"100\" width=\"161\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;&#48;&#38;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#50;&#125;&#120;&#43;&#98;&#92;&#92;&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#50;&#125;&#120;&#38;&#61;&#45;&#98;&#92;&#32;&#92;&#112;&#97;&#114;&#97;&#108;&#108;&#101;&#108;&#92;&#32;&#58;&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#50;&#125;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#116;&#97;&#105;&#125;&#32;&#92;&#99;&#100;&#111;&#116;&#32;&#50;&#92;&#92;&#120;&#38;&#61;&#45;&#50;&#98;&#92;&#101;&#110;&#100;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p><\/p>\n\n\n\n<p>Suora leikkaa <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-edf6d5462aa989d30da6f7f7d6e93e0f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"\/>-akselin pisteess\u00e4 <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-0ec58e264afd3bd5fd17649113ae98a3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#45;&#50;&#98;&#44;&#48;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"59\" style=\"vertical-align: -4px;\"\/>.<\/p>\n\n\n\n<div id=\"uusi\">340. b)<\/div>\n\n\n\n<p>Suoran <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-f14f915745141f309877476129efccd2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#50;&#125;&#120;&#43;&#98;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"86\" style=\"vertical-align: -12px;\"\/> kulmakerroin on <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-a5c913384463eaee3a08c8b003adbce9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"7\" style=\"vertical-align: -6px;\"\/>. Leikkauspisteen koordinaatit voivat olla positiivisia tai negatiivisia.<\/p>\n\n\n\n<p>Hahmotellaan kuva.<\/p>\n\n\n\n<figure class=\"wp-block-image is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/340b_v3.png\" alt=\"\" class=\"wp-image-434\" width=\"443\" height=\"257\" srcset=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/340b_v3.png 686w, https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/340b_v3-300x174.png 300w\" sizes=\"auto, (max-width: 443px) 100vw, 443px\" \/><\/figure>\n\n\n\n<p>Jos vakio <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-098fd5120d388d021c2aaa2ee2fdd27f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#98;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"8\" style=\"vertical-align: 0px;\"\/> on positiivinen, ylempi suoran on kyseess\u00e4. Jos <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-098fd5120d388d021c2aaa2ee2fdd27f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#98;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"8\" style=\"vertical-align: 0px;\"\/> on negatiivinen, kyseess\u00e4 on alempi suora. <\/p>\n\n\n\n<p>Suoran ja <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-1511b6d339e66309a4071bc95cfd9285_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"\/>-akselin leikkauspisteen et\u00e4isyys origosta on <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-0eb8f6ff50b265c0c4d6a78c58e825c2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#124;&#98;&#92;&#114;&#105;&#103;&#104;&#116;&#124;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"14\" style=\"vertical-align: -4px;\"\/>.<\/p>\n\n\n\n<p>Suoran ja <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-edf6d5462aa989d30da6f7f7d6e93e0f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"\/>-akselin leikkauspisteen et\u00e4isyys origosta on <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-5e1ee4ce3bada0eead59452c256c580a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#32;&#124;&#45;&#50;&#32;&#98;&#92;&#114;&#105;&#103;&#104;&#116;&#124;&#61;&#50;&#92;&#108;&#101;&#102;&#116;&#124;&#98;&#92;&#114;&#105;&#103;&#104;&#116;&#124;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"89\" style=\"vertical-align: -4px;\"\/>.<\/p>\n\n\n\n<p>Suoran ja koordinaattiakseleiden rajaaman kolmion pinta-ala on 18. Muodostetaan pinta-alan lauseke seuraavasti:<\/p>\n\n\n\n<p><p class=\"ql-center-displayed-equation\" style=\"line-height: 179px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-827e8eec82c0057b8deac034e6a8fa2b_l3.png\" height=\"179\" width=\"166\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;&#32;&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#50;&#125;&#32;&#92;&#99;&#100;&#111;&#116;&#32;&#50;&#92;&#108;&#101;&#102;&#116;&#124;&#98;&#92;&#114;&#105;&#103;&#104;&#116;&#124;&#32;&#92;&#99;&#100;&#111;&#116;&#32;&#92;&#108;&#101;&#102;&#116;&#124;&#98;&#92;&#114;&#105;&#103;&#104;&#116;&#124;&#32;&#38;&#61;&#49;&#56;&#92;&#92;&#92;&#108;&#101;&#102;&#116;&#124;&#98;&#92;&#114;&#105;&#103;&#104;&#116;&#124;&#94;&#50;&#38;&#61;&#49;&#56;&#92;&#92;&#98;&#94;&#50;&#38;&#61;&#49;&#56;&#92;&#92;&#98;&#38;&#61;&#92;&#112;&#109;&#32;&#92;&#115;&#113;&#114;&#116;&#123;&#49;&#56;&#125;&#92;&#92;&#98;&#38;&#61;&#92;&#112;&#109;&#32;&#92;&#115;&#113;&#114;&#116;&#123;&#57;&#32;&#92;&#99;&#100;&#111;&#116;&#32;&#50;&#125;&#92;&#92;&#98;&#38;&#61;&#92;&#112;&#109;&#32;&#51;&#92;&#115;&#113;&#114;&#116;&#123;&#50;&#125;&#92;&#101;&#110;&#100;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p><\/p>\n\n\n\n<p><strong>Vastaus<\/strong>: <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-0556760f92c21266e1db786365b3b675_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#98;&#61;&#32;&#92;&#51;&#32;&#92;&#115;&#113;&#114;&#116;&#123;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"55\" style=\"vertical-align: -2px;\"\/> tai <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/ql-cache\/quicklatex.com-b719976fa867f8d2c975ccf10f88193f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#98;&#61;&#45;&#51;&#32;&#92;&#115;&#113;&#114;&#116;&#123;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"78\" style=\"vertical-align: -2px;\"\/>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Linkki tuntimuistiinpanoihin Teht\u00e4vien ratkaisut Tuntiteht\u00e4v\u00e4t Luku 3.1 Suoran suunta: 301, 303a, 305, 309, 313. Luku 3.2 Suoran yht\u00e4l\u00f6: 321, 326, 327a, 330, 331, 332, 340. 301 Suora , pisteet ja . Kulmakerroin Suora , pisteet ja . Kulmakerroin Suora , pisteet ja . Kulmakerroin 303. a) Suora kulkee pisteen kautta ja kulmakerroin on . Kun &hellip; <a href=\"https:\/\/blogit.gradia.fi\/ageom\/3-1-ja-3-2-ti-27-8\/\" class=\"more-link\">Jatka lukemista <span class=\"screen-reader-text\">3.1 ja 3.2 (ti 31.8.)<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":111,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_uag_custom_page_level_css":"","footnotes":""},"class_list":["post-291","page","type-page","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>3.1 ja 3.2 (ti 31.8.) - Analyyttinen geometria (MAA05)<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/blogit.gradia.fi\/ageom\/3-1-ja-3-2-ti-27-8\/\" \/>\n<meta property=\"og:locale\" content=\"fi_FI\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"3.1 ja 3.2 (ti 31.8.) - Analyyttinen geometria (MAA05)\" \/>\n<meta property=\"og:description\" content=\"Linkki tuntimuistiinpanoihin Teht\u00e4vien ratkaisut Tuntiteht\u00e4v\u00e4t Luku 3.1 Suoran suunta: 301, 303a, 305, 309, 313. Luku 3.2 Suoran yht\u00e4l\u00f6: 321, 326, 327a, 330, 331, 332, 340. 301 Suora , pisteet ja . Kulmakerroin Suora , pisteet ja . Kulmakerroin Suora , pisteet ja . Kulmakerroin 303. a) Suora kulkee pisteen kautta ja kulmakerroin on . Kun &hellip; Jatka lukemista 3.1 ja 3.2 (ti 31.8.) &rarr;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/blogit.gradia.fi\/ageom\/3-1-ja-3-2-ti-27-8\/\" \/>\n<meta property=\"og:site_name\" content=\"Analyyttinen geometria (MAA05)\" \/>\n<meta property=\"article:modified_time\" content=\"2021-09-01T09:18:06+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/blogit.gradia.fi\/ageom\/wp-content\/uploads\/sites\/136\/2019\/08\/303a2.png\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Arvioitu lukuaika\" \/>\n\t<meta name=\"twitter:data1\" content=\"10 minuuttia\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/blogit.gradia.fi\\\/ageom\\\/3-1-ja-3-2-ti-27-8\\\/\",\"url\":\"https:\\\/\\\/blogit.gradia.fi\\\/ageom\\\/3-1-ja-3-2-ti-27-8\\\/\",\"name\":\"3.1 ja 3.2 (ti 31.8.) - Analyyttinen geometria (MAA05)\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/blogit.gradia.fi\\\/ageom\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/blogit.gradia.fi\\\/ageom\\\/3-1-ja-3-2-ti-27-8\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/blogit.gradia.fi\\\/ageom\\\/3-1-ja-3-2-ti-27-8\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/blogit.gradia.fi\\\/ageom\\\/wp-content\\\/uploads\\\/sites\\\/136\\\/2019\\\/08\\\/303a2.png\",\"datePublished\":\"2021-08-31T05:12:00+00:00\",\"dateModified\":\"2021-09-01T09:18:06+00:00\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/blogit.gradia.fi\\\/ageom\\\/3-1-ja-3-2-ti-27-8\\\/#breadcrumb\"},\"inLanguage\":\"fi\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/blogit.gradia.fi\\\/ageom\\\/3-1-ja-3-2-ti-27-8\\\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"fi\",\"@id\":\"https:\\\/\\\/blogit.gradia.fi\\\/ageom\\\/3-1-ja-3-2-ti-27-8\\\/#primaryimage\",\"url\":\"https:\\\/\\\/blogit.gradia.fi\\\/ageom\\\/wp-content\\\/uploads\\\/sites\\\/136\\\/2019\\\/08\\\/303a2.png\",\"contentUrl\":\"https:\\\/\\\/blogit.gradia.fi\\\/ageom\\\/wp-content\\\/uploads\\\/sites\\\/136\\\/2019\\\/08\\\/303a2.png\",\"width\":879,\"height\":1005},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/blogit.gradia.fi\\\/ageom\\\/3-1-ja-3-2-ti-27-8\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/blogit.gradia.fi\\\/ageom\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"3.1 ja 3.2 (ti 31.8.)\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/blogit.gradia.fi\\\/ageom\\\/#website\",\"url\":\"https:\\\/\\\/blogit.gradia.fi\\\/ageom\\\/\",\"name\":\"Analyyttinen geometria (MAA05)\",\"description\":\"MAA05\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/blogit.gradia.fi\\\/ageom\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"fi\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"3.1 ja 3.2 (ti 31.8.) - Analyyttinen geometria (MAA05)","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/blogit.gradia.fi\/ageom\/3-1-ja-3-2-ti-27-8\/","og_locale":"fi_FI","og_type":"article","og_title":"3.1 ja 3.2 (ti 31.8.) - Analyyttinen geometria (MAA05)","og_description":"Linkki tuntimuistiinpanoihin Teht\u00e4vien ratkaisut Tuntiteht\u00e4v\u00e4t Luku 3.1 Suoran suunta: 301, 303a, 305, 309, 313. 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