{"id":38,"date":"2025-04-07T10:39:18","date_gmt":"2025-04-07T10:39:18","guid":{"rendered":"https:\/\/makpal.studyedu.kz\/?page_id=38"},"modified":"2025-05-13T05:51:21","modified_gmt":"2025-05-13T05:51:21","slug":"%d1%82%d2%af%d0%b7%d1%83%d0%b4%d1%96%d2%a3-%d1%82%d0%b5%d2%a3%d0%b4%d0%b5%d1%83%d1%96","status":"publish","type":"page","link":"https:\/\/makpal.studyedu.kz\/?page_id=38","title":{"rendered":"\u0422\u04af\u0437\u0443\u0434\u0456\u04a3 \u0442\u0435\u04a3\u0434\u0435\u0443\u0456"},"content":{"rendered":"\n<h3 class=\"wp-block-heading\"><strong>\u041c\u0430\u049b\u0441\u0430\u0442\u044b:<\/strong><\/h3>\n\n\n\n<p>\u041a\u0435\u04a3\u0456\u0441\u0442\u0456\u043a\u0442\u0435\u0433\u0456 \u0442\u04af\u0437\u0443\u0434\u0456\u04a3 \u0432\u0435\u043a\u0442\u043e\u0440\u043b\u044b\u049b \u0436\u04d9\u043d\u0435 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u043b\u0456\u043a \u0442\u0435\u04a3\u0434\u0435\u0443\u043b\u0435\u0440\u0456\u043d \u043c\u0435\u04a3\u0433\u0435\u0440\u0442\u0443. \u0416\u0430\u0437\u044b\u049b\u0442\u044b\u049b\u043f\u0435\u043d \u0431\u0430\u0439\u043b\u0430\u043d\u044b\u0441\u044b\u043d \u0442\u04af\u0441\u0456\u043d\u0434\u0456\u0440\u0443.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"> <strong>\u049a\u044b\u0441\u049b\u0430\u0448\u0430 \u0442\u0435\u043e\u0440\u0438\u044f:<\/strong><\/h3>\n\n\n\n<h4 class=\"wp-block-heading\"> \u041a\u0435\u04a3\u0456\u0441\u0442\u0456\u043a\u0442\u0435\u0433\u0456 \u0442\u04af\u0437\u0443 \u0434\u0435\u0433\u0435\u043d \u043d\u0435?<\/h4>\n\n\n\n<p>\u041a\u0435\u04a3\u0456\u0441\u0442\u0456\u043a\u0442\u0435\u0433\u0456 \u0442\u04af\u0437\u0443 \u2014 \u0431\u0456\u0440 <strong>\u043d\u04af\u043a\u0442\u0435<\/strong> \u0430\u0440\u049b\u044b\u043b\u044b \u04e9\u0442\u0435\u0442\u0456\u043d \u0436\u04d9\u043d\u0435 \u0431\u0435\u043b\u0433\u0456\u043b\u0456 \u0431\u0456\u0440 <strong>\u0431\u0430\u0493\u044b\u0442 \u0432\u0435\u043a\u0442\u043e\u0440\u044b<\/strong> \u0431\u043e\u0439\u044b\u043d\u0448\u0430 \u0448\u0435\u043a\u0441\u0456\u0437 \u0441\u043e\u0437\u044b\u043b\u0430\u0442\u044b\u043d \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u044f\u043b\u044b\u049b \u043e\u0431\u044a\u0435\u043a\u0442.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\u0422\u04af\u0437\u0443\u0434\u0456\u04a3 \u0442\u0435\u04a3\u0434\u0435\u0443\u043b\u0435\u0440\u0456:<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">1. <strong>\u0412\u0435\u043a\u0442\u043e\u0440\u043b\u044b\u049b \u0442\u04af\u0440\u0456:<\/strong><\/h4>\n\n\n\n<p>\u0411\u0435\u0440\u0456\u043b\u0433\u0435\u043d:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u041d\u04af\u043a\u0442\u0435: A(x0,y0,z0)<\/li>\n\n\n\n<li>\u0411\u0430\u0493\u044b\u0442 \u0432\u0435\u043a\u0442\u043e\u0440\u044b: v\u20d7=(a,b,c)<\/li>\n<\/ul>\n\n\n\n<p>\u0422\u04af\u0437\u0443\u0434\u0456\u04a3 \u0442\u0435\u04a3\u0434\u0435\u0443\u0456:<\/p>\n\n\n\n<p>r\u20d7=r0\u20d7+t\u22c5v\u20d7<\/p>\n\n\n\n<p>\u041c\u04b1\u043d\u0434\u0430\u0493\u044b tt \u2014 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440, r0\u20d7=(x0,y0,z0)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"> 2. <strong>\u041f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u043b\u0456\u043a<\/strong><strong> <\/strong><strong>\u0442\u04af\u0440\u0456<\/strong><strong>:<\/strong><\/h4>\n\n\n\n<p>{x=x0+aty=y0+btz=z0+ct<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"> 3. <strong>\u041a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u0430\u043b\u044b\u049b<\/strong><strong> (<\/strong><strong>\u043d\u0435\u043c\u0435\u0441\u0435<\/strong><strong> <\/strong><strong>\u043a\u0430\u043d\u043e\u043d\u0434\u044b\u049b<\/strong><strong>) <\/strong><strong>\u0442\u04af\u0440\u0456<\/strong><strong>:<\/strong><\/h4>\n\n\n\n<p>x\u2212x0a=y\u2212y0b=z\u2212z0c<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\ud83e\udde0 <strong>\u0422\u0456\u0440\u0435\u043a \u0441\u044b\u0437\u0431\u0430 (\u0431\u043b\u043e\u043a-\u0441\u0445\u0435\u043c\u0430):<\/strong><\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <\/code><\/pre>\n\n\n\n<pre class=\"wp-block-preformatted\"><\/pre>\n\n\n\n<p><\/p>\n\n\n\n<p><\/p>\n\n\n\n<p><\/p>\n\n\n\n<p><\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>\u041c\u044b\u0441\u0430\u043b \u0435\u0441\u0435\u043f:<\/strong><\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">\u041c\u044b\u0441\u0430\u043b:<\/h4>\n\n\n\n<p>\u0411\u0435\u0440\u0456\u043b\u0433\u0435\u043d:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u041d\u04af\u043a\u0442\u0435: A(1,2,3)<\/li>\n\n\n\n<li>&nbsp;\u0411\u0430\u0493\u044b\u0442 \u0432\u0435\u043a\u0442\u043e\u0440\u044b: v\u20d7=(2,\u22121,4)<\/li>\n<\/ul>\n\n\n\n<p><strong>\u041f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u043b\u0456\u043a \u0442\u0435\u04a3\u0434\u0435\u0443:<\/strong><\/p>\n\n\n\n<p>{x=1+2ty=2\u2212tz=3+4t<\/p>\n\n\n\n<p><strong>\u041a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u0430\u043b\u044b\u049b \u0442\u04af\u0440\u0456:<\/strong><\/p>\n\n\n\n<p>x\u221212=y\u22122\u22121=z\u221234<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<figure class=\"wp-block-image size-full\"><img fetchpriority=\"high\" decoding=\"async\" width=\"910\" height=\"910\" src=\"https:\/\/makpal.studyedu.kz\/wp-content\/uploads\/2025\/04\/WhatsApp-Image-2025-04-07-at-18.09.27.jpeg\" alt=\"\" class=\"wp-image-66\" srcset=\"https:\/\/makpal.studyedu.kz\/wp-content\/uploads\/2025\/04\/WhatsApp-Image-2025-04-07-at-18.09.27.jpeg 910w, https:\/\/makpal.studyedu.kz\/wp-content\/uploads\/2025\/04\/WhatsApp-Image-2025-04-07-at-18.09.27-300x300.jpeg 300w, https:\/\/makpal.studyedu.kz\/wp-content\/uploads\/2025\/04\/WhatsApp-Image-2025-04-07-at-18.09.27-150x150.jpeg 150w, https:\/\/makpal.studyedu.kz\/wp-content\/uploads\/2025\/04\/WhatsApp-Image-2025-04-07-at-18.09.27-768x768.jpeg 768w\" sizes=\"(max-width: 910px) 100vw, 910px\" \/><\/figure>\n\n\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p><\/p>\n<\/blockquote>\n\n\n\n<p><a href=\"https:\/\/www.geogebra.org\/calculator\">https:\/\/www.geogebra.org\/calculator<\/a> &#8212; \u0433\u0435\u043e\u0433\u0435\u0431\u0440\u0430<\/p>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u041c\u0430\u049b\u0441\u0430\u0442\u044b: \u041a\u0435\u04a3\u0456\u0441\u0442\u0456\u043a\u0442\u0435\u0433\u0456 \u0442\u04af\u0437\u0443\u0434\u0456\u04a3 \u0432\u0435\u043a\u0442\u043e\u0440\u043b\u044b\u049b \u0436\u04d9\u043d\u0435 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u043b\u0456\u043a \u0442\u0435\u04a3\u0434\u0435\u0443\u043b\u0435\u0440\u0456\u043d \u043c\u0435\u04a3\u0433\u0435\u0440\u0442\u0443. \u0416\u0430\u0437\u044b\u049b\u0442\u044b\u049b\u043f\u0435\u043d \u0431\u0430\u0439\u043b\u0430\u043d\u044b\u0441\u044b\u043d \u0442\u04af\u0441\u0456\u043d\u0434\u0456\u0440\u0443. \u049a\u044b\u0441\u049b\u0430\u0448\u0430 \u0442\u0435\u043e\u0440\u0438\u044f: \u041a\u0435\u04a3\u0456\u0441\u0442\u0456\u043a\u0442\u0435\u0433\u0456 \u0442\u04af\u0437\u0443 \u0434\u0435\u0433\u0435\u043d \u043d\u0435? \u041a\u0435\u04a3\u0456\u0441\u0442\u0456\u043a\u0442\u0435\u0433\u0456 \u0442\u04af\u0437\u0443 \u2014 \u0431\u0456\u0440 \u043d\u04af\u043a\u0442\u0435 \u0430\u0440\u049b\u044b\u043b\u044b \u04e9\u0442\u0435\u0442\u0456\u043d \u0436\u04d9\u043d\u0435 \u0431\u0435\u043b\u0433\u0456\u043b\u0456 \u0431\u0456\u0440 \u0431\u0430\u0493\u044b\u0442 \u0432\u0435\u043a\u0442\u043e\u0440\u044b \u0431\u043e\u0439\u044b\u043d\u0448\u0430 \u0448\u0435\u043a\u0441\u0456\u0437 \u0441\u043e\u0437\u044b\u043b\u0430\u0442\u044b\u043d \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u044f\u043b\u044b\u049b \u043e\u0431\u044a\u0435\u043a\u0442. \u0422\u04af\u0437\u0443\u0434\u0456\u04a3 \u0442\u0435\u04a3\u0434\u0435\u0443\u043b\u0435\u0440\u0456: 1. \u0412\u0435\u043a\u0442\u043e\u0440\u043b\u044b\u049b \u0442\u04af\u0440\u0456: \u0411\u0435\u0440\u0456\u043b\u0433\u0435\u043d: \u0422\u04af\u0437\u0443\u0434\u0456\u04a3 \u0442\u0435\u04a3\u0434\u0435\u0443\u0456: r\u20d7=r0\u20d7+t\u22c5v\u20d7 \u041c\u04b1\u043d\u0434\u0430\u0493\u044b tt \u2014 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440, r0\u20d7=(x0,y0,z0) 2. \u041f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u043b\u0456\u043a \u0442\u04af\u0440\u0456: {x=x0+aty=y0+btz=z0+ct 3. \u041a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u0430\u043b\u044b\u049b (\u043d\u0435\u043c\u0435\u0441\u0435 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-38","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/makpal.studyedu.kz\/index.php?rest_route=\/wp\/v2\/pages\/38","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/makpal.studyedu.kz\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/makpal.studyedu.kz\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/makpal.studyedu.kz\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/makpal.studyedu.kz\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=38"}],"version-history":[{"count":5,"href":"https:\/\/makpal.studyedu.kz\/index.php?rest_route=\/wp\/v2\/pages\/38\/revisions"}],"predecessor-version":[{"id":117,"href":"https:\/\/makpal.studyedu.kz\/index.php?rest_route=\/wp\/v2\/pages\/38\/revisions\/117"}],"wp:attachment":[{"href":"https:\/\/makpal.studyedu.kz\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=38"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}