{"id":36,"date":"2025-04-07T10:38:56","date_gmt":"2025-04-07T10:38:56","guid":{"rendered":"https:\/\/makpal.studyedu.kz\/?page_id=36"},"modified":"2025-05-13T05:44:38","modified_gmt":"2025-05-13T05:44:38","slug":"%d0%b6%d0%b0%d0%b7%d1%8b%d2%9b%d1%82%d1%8b%d2%9b%d1%82%d1%8b%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=36","title":{"rendered":"\u0416\u0430\u0437\u044b\u049b\u0442\u044b\u049b\u0442\u044b\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>\u041e\u049b\u0443\u0448\u044b\u043b\u0430\u0440\u0493\u0430 \u0436\u0430\u0437\u044b\u049b\u0442\u044b\u049b\u0442\u044b\u04a3 \u04d9\u0440\u0442\u04af\u0440\u043b\u0456 \u0442\u0435\u04a3\u0434\u0435\u0443\u043b\u0435\u0440\u0456\u043d \u0442\u04af\u0441\u0456\u043d\u0434\u0456\u0440\u0443: <strong>\u043d\u043e\u0440\u043c\u0430\u043b\u044c\u0434\u0456\u043a \u0432\u0435\u043a\u0442\u043e\u0440 \u0430\u0440\u049b\u044b\u043b\u044b<\/strong>, <strong>\u043d\u04af\u043a\u0442\u0435 \u043c\u0435\u043d \u0432\u0435\u043a\u0442\u043e\u0440<\/strong>, <strong>\u0436\u0430\u043b\u043f\u044b \u0442\u04af\u0440\u0456<\/strong>, \u0442.\u0431. \u0422\u0456\u0440\u0435\u043a \u0441\u044b\u0437\u0431\u0430 \u043a\u04e9\u043c\u0435\u0433\u0456\u043c\u0435\u043d \u0435\u0441\u0442\u0435 \u0441\u0430\u049b\u0442\u0430\u0443\u0434\u044b \u0436\u0435\u04a3\u0456\u043b\u0434\u0435\u0442\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\"> \u0416\u0430\u0437\u044b\u049b\u0442\u044b\u049b \u0434\u0435\u0433\u0435\u043d \u043d\u0435?<\/h4>\n\n\n\n<p>\u041a\u0435\u04a3\u0456\u0441\u0442\u0456\u043a\u0442\u0435 \u0448\u0435\u043a\u0441\u0456\u0437 \u0441\u043e\u0437\u044b\u043b\u0430\u0442\u044b\u043d \u0435\u043a\u0456\u04e9\u043b\u0448\u0435\u043c\u0434\u0456 \u0431\u0435\u0442. \u0416\u0430\u0437\u044b\u049b\u0442\u044b\u049b\u0442\u044b \u0431\u0456\u0440 <strong>\u043d\u04af\u043a\u0442\u0435<\/strong> \u0436\u04d9\u043d\u0435 \u043e\u0493\u0430\u043d \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440 <strong>\u043d\u043e\u0440\u043c\u0430\u043b\u044c \u0432\u0435\u043a\u0442\u043e\u0440\u044b<\/strong> \u0430\u0440\u049b\u044b\u043b\u044b \u0441\u0438\u043f\u0430\u0442\u0442\u0430\u0443\u0493\u0430 \u0431\u043e\u043b\u0430\u0434\u044b.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\u0416\u0430\u0437\u044b\u049b\u0442\u044b\u049b \u0442\u0435\u04a3\u0434\u0435\u0443\u043b\u0435\u0440\u0456\u043d\u0456\u04a3 \u0442\u04af\u0440\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 <strong>\u043d\u04af\u043a\u0442\u0435 A(x\u2080, y\u2080, z\u2080)<\/strong> \u0436\u04d9\u043d\u0435 \u043e\u0493\u0430\u043d <strong>\u043d\u043e\u0440\u043c\u0430\u043b\u044c \u0432\u0435\u043a\u0442\u043e\u0440\u044b<\/strong> n\u20d7=(A,B,C)<\/p>\n\n\n\n<p>\u0416\u0430\u0437\u044b\u049b\u0442\u044b\u049b \u0442\u0435\u04a3\u0434\u0435\u0443\u0456:<\/p>\n\n\n\n<p>A(x\u2212x0)+B(y\u2212y0)+C(z\u2212z0)=0<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">2. <strong>\u0416\u0430\u043b\u043f\u044b<\/strong><strong> <\/strong><strong>\u0442\u04af\u0440\u0456<\/strong><strong>:<\/strong><\/h4>\n\n\n\n<p>Ax+By+Cz+D=0Ax + By + Cz + D = 0<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><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<p><\/p>\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<p><\/p>\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,\u22121)<\/li>\n\n\n\n<li>\u041d\u043e\u0440\u043c\u0430\u043b\u044c \u0432\u0435\u043a\u0442\u043e\u0440\u044b: n\u20d7=(2,\u22123,1)<\/li>\n<\/ul>\n\n\n\n<p><strong>\u0416\u0430\u0437\u044b\u049b\u0442\u044b\u049b \u0442\u0435\u04a3\u0434\u0435\u0443\u0456:<\/strong><\/p>\n\n\n\n<p>2(x\u22121)\u22123(y\u22122)+1(z+1)=0\u21d22x\u22122\u22123y+6+z+1=0\u21d22x\u22123y+z+5=02(x &#8212; 1) &#8212; 3(y &#8212; 2) + 1(z + 1) = 0 \\Rightarrow 2x &#8212; 2 &#8212; 3y + 6 + z + 1 = 0 \\Rightarrow 2x &#8212; 3y + z + 5 = 0<\/p>\n\n\n\n<p>\u2705 \u0416\u0430\u0443\u0430\u0431\u044b: \u0416\u0430\u043b\u043f\u044b \u0442\u04af\u0440\u0456:<\/p>\n\n\n\n<p>2x\u22123y+z+5=02x &#8212; 3y + z + 5 = 0<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>\u0412\u0438\u0437\u0443\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u044f \u0438\u0434\u0435\u044f\u0441\u044b:<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u041a\u0435\u04a3\u0456\u0441\u0442\u0456\u043a\u0442\u0435\u0433\u0456 \u0436\u0430\u0437\u044b\u049b\u0442\u044b\u049b\u0442\u044b \u0432\u0438\u0437\u0443\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u044f\u043b\u0430\u0443 (\u0442\u04af\u0441\u0441\u0456\u0437 \u043c\u04e9\u043b\u0434\u0456\u0440 \u0431\u0435\u0442).<\/li>\n\n\n\n<li>\u041d\u04af\u043a\u0442\u0435\u043d\u0456 \u0436\u04d9\u043d\u0435 \u043d\u043e\u0440\u043c\u0430\u043b\u044c \u0432\u0435\u043a\u0442\u043e\u0440\u044b\u043d \u0442\u0430\u04a3\u0434\u0430\u043f, \u0436\u0430\u0437\u044b\u049b\u0442\u044b\u049b \u0430\u0432\u0442\u043e\u043c\u0430\u0442\u0442\u044b \u0442\u04af\u0440\u0434\u0435 \u0441\u044b\u0437\u044b\u043b\u0430\u0442\u044b\u043d \u049b\u04b1\u0440\u0430\u043b.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><img fetchpriority=\"high\" decoding=\"async\" width=\"974\" height=\"974\" src=\"https:\/\/makpal.studyedu.kz\/wp-content\/uploads\/2025\/04\/WhatsApp-Image-2025-04-07-at-18.08.49.jpeg\" alt=\"\" class=\"wp-image-64\" srcset=\"https:\/\/makpal.studyedu.kz\/wp-content\/uploads\/2025\/04\/WhatsApp-Image-2025-04-07-at-18.08.49.jpeg 974w, https:\/\/makpal.studyedu.kz\/wp-content\/uploads\/2025\/04\/WhatsApp-Image-2025-04-07-at-18.08.49-300x300.jpeg 300w, https:\/\/makpal.studyedu.kz\/wp-content\/uploads\/2025\/04\/WhatsApp-Image-2025-04-07-at-18.08.49-150x150.jpeg 150w, https:\/\/makpal.studyedu.kz\/wp-content\/uploads\/2025\/04\/WhatsApp-Image-2025-04-07-at-18.08.49-768x768.jpeg 768w\" sizes=\"(max-width: 974px) 100vw, 974px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>\u041c\u0430\u049b\u0441\u0430\u0442\u044b: \u041e\u049b\u0443\u0448\u044b\u043b\u0430\u0440\u0493\u0430 \u0436\u0430\u0437\u044b\u049b\u0442\u044b\u049b\u0442\u044b\u04a3 \u04d9\u0440\u0442\u04af\u0440\u043b\u0456 \u0442\u0435\u04a3\u0434\u0435\u0443\u043b\u0435\u0440\u0456\u043d \u0442\u04af\u0441\u0456\u043d\u0434\u0456\u0440\u0443: \u043d\u043e\u0440\u043c\u0430\u043b\u044c\u0434\u0456\u043a \u0432\u0435\u043a\u0442\u043e\u0440 \u0430\u0440\u049b\u044b\u043b\u044b, \u043d\u04af\u043a\u0442\u0435 \u043c\u0435\u043d \u0432\u0435\u043a\u0442\u043e\u0440, \u0436\u0430\u043b\u043f\u044b \u0442\u04af\u0440\u0456, \u0442.\u0431. \u0422\u0456\u0440\u0435\u043a \u0441\u044b\u0437\u0431\u0430 \u043a\u04e9\u043c\u0435\u0433\u0456\u043c\u0435\u043d \u0435\u0441\u0442\u0435 \u0441\u0430\u049b\u0442\u0430\u0443\u0434\u044b \u0436\u0435\u04a3\u0456\u043b\u0434\u0435\u0442\u0443. \u049a\u044b\u0441\u049b\u0430\u0448\u0430 \u0442\u0435\u043e\u0440\u0438\u044f: \u0416\u0430\u0437\u044b\u049b\u0442\u044b\u049b \u0434\u0435\u0433\u0435\u043d \u043d\u0435? \u041a\u0435\u04a3\u0456\u0441\u0442\u0456\u043a\u0442\u0435 \u0448\u0435\u043a\u0441\u0456\u0437 \u0441\u043e\u0437\u044b\u043b\u0430\u0442\u044b\u043d \u0435\u043a\u0456\u04e9\u043b\u0448\u0435\u043c\u0434\u0456 \u0431\u0435\u0442. \u0416\u0430\u0437\u044b\u049b\u0442\u044b\u049b\u0442\u044b \u0431\u0456\u0440 \u043d\u04af\u043a\u0442\u0435 \u0436\u04d9\u043d\u0435 \u043e\u0493\u0430\u043d \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440 \u043d\u043e\u0440\u043c\u0430\u043b\u044c \u0432\u0435\u043a\u0442\u043e\u0440\u044b \u0430\u0440\u049b\u044b\u043b\u044b \u0441\u0438\u043f\u0430\u0442\u0442\u0430\u0443\u0493\u0430 \u0431\u043e\u043b\u0430\u0434\u044b. \u0416\u0430\u0437\u044b\u049b\u0442\u044b\u049b \u0442\u0435\u04a3\u0434\u0435\u0443\u043b\u0435\u0440\u0456\u043d\u0456\u04a3 \u0442\u04af\u0440\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 \u043d\u04af\u043a\u0442\u0435 A(x\u2080, y\u2080, z\u2080) \u0436\u04d9\u043d\u0435 \u043e\u0493\u0430\u043d [&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-36","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/makpal.studyedu.kz\/index.php?rest_route=\/wp\/v2\/pages\/36","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=36"}],"version-history":[{"count":4,"href":"https:\/\/makpal.studyedu.kz\/index.php?rest_route=\/wp\/v2\/pages\/36\/revisions"}],"predecessor-version":[{"id":107,"href":"https:\/\/makpal.studyedu.kz\/index.php?rest_route=\/wp\/v2\/pages\/36\/revisions\/107"}],"wp:attachment":[{"href":"https:\/\/makpal.studyedu.kz\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=36"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}