{"id":24,"date":"2025-04-07T10:36:44","date_gmt":"2025-04-07T10:36:44","guid":{"rendered":"https:\/\/makpal.studyedu.kz\/?page_id=24"},"modified":"2025-05-13T05:45:45","modified_gmt":"2025-05-13T05:45:45","slug":"%d0%ba%d0%b5%d2%a3%d1%96%d1%81%d1%82%d1%96%d0%ba%d1%82%d0%b5%d0%b3%d1%96-%d0%b2%d0%b5%d0%ba%d1%82%d0%be%d1%80%d0%bb%d0%b0%d1%80","status":"publish","type":"page","link":"https:\/\/makpal.studyedu.kz\/?page_id=24","title":{"rendered":"\u041a\u0435\u04a3\u0456\u0441\u0442\u0456\u043a\u0442\u0435\u0433\u0456 \u0432\u0435\u043a\u0442\u043e\u0440\u043b\u0430\u0440"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"24\" class=\"elementor elementor-24\" data-elementor-post-type=\"page\">\n\t\t\t\t<div class=\"elementor-element elementor-element-770c9e30 e-flex e-con-boxed e-con e-parent\" data-id=\"770c9e30\" data-element_type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-6447c0d9 elementor-widget elementor-widget-text-editor\" data-id=\"6447c0d9\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\n<h3 class=\"wp-block-heading\"><strong>\u041c\u0430\u049b\u0441\u0430\u0442\u044b:<\/strong><\/h3>\n\n<p>\u041e\u049b\u0443\u0448\u044b\u043b\u0430\u0440\u0493\u0430 \u043a\u0435\u04a3\u0456\u0441\u0442\u0456\u043a\u0442\u0435\u0433\u0456 \u0432\u0435\u043a\u0442\u043e\u0440 \u04b1\u0493\u044b\u043c\u044b\u043d \u0436\u04d9\u043d\u0435 \u043e\u043d\u044b\u04a3 \u049b\u0430\u0441\u0438\u0435\u0442\u0442\u0435\u0440\u0456\u043d \u0442\u04af\u0441\u0456\u043d\u0434\u0456\u0440\u0443.<\/p>\n<hr class=\"wp-block-separator has-alpha-channel-opacity\" \/>\n<h3 class=\"wp-block-heading\"><strong>\u049a\u044b\u0441\u049b\u0430\u0448\u0430 \u0442\u0435\u043e\u0440\u0438\u044f:<\/strong><\/h3>\n\n<p><strong>\u0412\u0435\u043a\u0442\u043e\u0440<\/strong> \u2013 \u0431\u0430\u0493\u044b\u0442\u044b \u0436\u04d9\u043d\u0435 \u04b1\u0437\u044b\u043d\u0434\u044b\u0493\u044b \u0431\u0430\u0440 \u043a\u0435\u0441\u0456\u043d\u0434\u0456. \u041a\u0435\u04a3\u0456\u0441\u0442\u0456\u043a\u0442\u0435 \u0432\u0435\u043a\u0442\u043e\u0440\u0434\u044b \u04af\u0448 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u0430 \u0430\u0440\u049b\u044b\u043b\u044b \u0431\u0435\u043b\u0433\u0456\u043b\u0435\u0439\u043c\u0456\u0437:<br \/><strong>\ud835\udc1a<\/strong><strong> \u2192 (<\/strong><strong>\ud835\udc4e<\/strong><strong>\u2093; <\/strong><strong>\ud835\udc4e<\/strong><strong>\u1d67; <\/strong><strong>\ud835\udc4e\ud835\udccf<\/strong><strong>)<\/strong><\/p>\n\n<h4 class=\"wp-block-heading\">\u0412\u0435\u043a\u0442\u043e\u0440\u0434\u044b\u04a3 \u043d\u0435\u0433\u0456\u0437\u0433\u0456 \u0441\u0438\u043f\u0430\u0442\u0442\u0430\u043c\u0430\u043b\u0430\u0440\u044b:<\/h4>\n\n<ul class=\"wp-block-list\">\n<li><strong>\u04b0\u0437\u044b\u043d\u0434\u044b\u0493\u044b (\u043c\u043e\u0434\u0443\u043b\u0456):<\/strong><\/li>\n<\/ul>\n\n<p>\u2223a\u20d7\u2223=ax2+ay2+az2|<\/p>\n\n<p><strong>\u00a0\u0411\u0430\u0493\u044b\u0442\u044b:<\/strong> \u0432\u0435\u043a\u0442\u043e\u0440\u0434\u044b\u04a3 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u0430\u043b\u0430\u0440 \u04e9\u0441\u0456\u043c\u0435\u043d \u0436\u0430\u0441\u0430\u0439\u0442\u044b\u043d \u0431\u04b1\u0440\u044b\u0448\u044b \u0430\u0440\u049b\u044b\u043b\u044b \u0430\u043d\u044b\u049b\u0442\u0430\u043b\u0430\u0434\u044b.<\/p>\n\n<ul class=\"wp-block-list\">\n<li><strong>\u0411\u0430\u0441\u0442\u0430\u043f\u049b\u044b \u0436\u04d9\u043d\u0435 \u0441\u043e\u04a3\u0493\u044b \u043d\u04af\u043a\u0442\u0435\u0441\u0456:<\/strong><br \/>\u0415\u0433\u0435\u0440 A(x\u2081, y\u2081, z\u2081), B(x\u2082, y\u2082, z\u2082), \u043e\u043d\u0434\u0430:<\/li>\n<\/ul>\n\n<p>AB\u20d7=(x2\u2212x1;y2\u2212y1;z2\u2212z1)<\/p>\n<hr class=\"wp-block-separator has-alpha-channel-opacity\" \/>\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<figure class=\"wp-block-image size-full\"><img fetchpriority=\"high\" decoding=\"async\" width=\"678\" height=\"678\" class=\"wp-image-54\" src=\"https:\/\/makpal.studyedu.kz\/wp-content\/uploads\/2025\/04\/WhatsApp-Image-2025-04-07-at-18.00.54.jpeg\" alt=\"\" srcset=\"https:\/\/makpal.studyedu.kz\/wp-content\/uploads\/2025\/04\/WhatsApp-Image-2025-04-07-at-18.00.54.jpeg 678w, https:\/\/makpal.studyedu.kz\/wp-content\/uploads\/2025\/04\/WhatsApp-Image-2025-04-07-at-18.00.54-300x300.jpeg 300w, https:\/\/makpal.studyedu.kz\/wp-content\/uploads\/2025\/04\/WhatsApp-Image-2025-04-07-at-18.00.54-150x150.jpeg 150w\" sizes=\"(max-width: 678px) 100vw, 678px\" \/><\/figure>\n<hr class=\"wp-block-separator has-alpha-channel-opacity\" \/>\n<h3 class=\"wp-block-heading\"><strong>\u041c\u044b\u0441\u0430\u043b \u0435\u0441\u0435\u043f:<\/strong><\/h3>\n\n<p>\u0411\u0435\u0440\u0456\u043b\u0433\u0435\u043d A(1, 2, 3) \u0436\u04d9\u043d\u0435 B(4, 6, 9) \u043d\u04af\u043a\u0442\u0435\u043b\u0435\u0440\u0456.<br \/><strong>a) <\/strong><strong>AB<\/strong><strong>\u20d7<\/strong><strong>\\vec{AB}<\/strong><strong> \u0432\u0435\u043a\u0442\u043e\u0440\u044b\u043d\u044b\u04a3 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u0430\u0441\u044b\u043d \u0442\u0430\u0431\u044b\u04a3\u0434\u0430\u0440.<\/strong><br \/><strong>\u0431) \u0412\u0435\u043a\u0442\u043e\u0440\u0434\u044b\u04a3 \u043c\u043e\u0434\u0443\u043b\u0456\u043d \u0435\u0441\u0435\u043f\u0442\u0435\u04a3\u0434\u0435\u0440.<\/strong><\/p>\n\n<p><strong>\u0428\u0435\u0448\u0443\u0456:<\/strong><\/p>\n\n<p>AB\u20d7=(4\u22121;6\u22122;9\u22123)=(3;4;6)<\/p>\n\n<p>\u00a0\u2223AB\u20d7\u2223=32+42+62=9+16+36=61\u22487.81<\/p>\n<hr class=\"wp-block-separator has-alpha-channel-opacity\" \/>\n<h3 class=\"wp-block-heading\">\u00a0<\/h3>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>\u041c\u0430\u049b\u0441\u0430\u0442\u044b: \u041e\u049b\u0443\u0448\u044b\u043b\u0430\u0440\u0493\u0430 \u043a\u0435\u04a3\u0456\u0441\u0442\u0456\u043a\u0442\u0435\u0433\u0456 \u0432\u0435\u043a\u0442\u043e\u0440 \u04b1\u0493\u044b\u043c\u044b\u043d \u0436\u04d9\u043d\u0435 \u043e\u043d\u044b\u04a3 \u049b\u0430\u0441\u0438\u0435\u0442\u0442\u0435\u0440\u0456\u043d \u0442\u04af\u0441\u0456\u043d\u0434\u0456\u0440\u0443. \u049a\u044b\u0441\u049b\u0430\u0448\u0430 \u0442\u0435\u043e\u0440\u0438\u044f: \u0412\u0435\u043a\u0442\u043e\u0440 \u2013 \u0431\u0430\u0493\u044b\u0442\u044b \u0436\u04d9\u043d\u0435 \u04b1\u0437\u044b\u043d\u0434\u044b\u0493\u044b \u0431\u0430\u0440 \u043a\u0435\u0441\u0456\u043d\u0434\u0456. \u041a\u0435\u04a3\u0456\u0441\u0442\u0456\u043a\u0442\u0435 \u0432\u0435\u043a\u0442\u043e\u0440\u0434\u044b \u04af\u0448 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u0430 \u0430\u0440\u049b\u044b\u043b\u044b \u0431\u0435\u043b\u0433\u0456\u043b\u0435\u0439\u043c\u0456\u0437:\ud835\udc1a \u2192 (\ud835\udc4e\u2093; \ud835\udc4e\u1d67; \ud835\udc4e\ud835\udccf) \u0412\u0435\u043a\u0442\u043e\u0440\u0434\u044b\u04a3 \u043d\u0435\u0433\u0456\u0437\u0433\u0456 \u0441\u0438\u043f\u0430\u0442\u0442\u0430\u043c\u0430\u043b\u0430\u0440\u044b: \u2223a\u20d7\u2223=ax2+ay2+az2| \u00a0\u0411\u0430\u0493\u044b\u0442\u044b: \u0432\u0435\u043a\u0442\u043e\u0440\u0434\u044b\u04a3 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u0430\u043b\u0430\u0440 \u04e9\u0441\u0456\u043c\u0435\u043d \u0436\u0430\u0441\u0430\u0439\u0442\u044b\u043d \u0431\u04b1\u0440\u044b\u0448\u044b \u0430\u0440\u049b\u044b\u043b\u044b \u0430\u043d\u044b\u049b\u0442\u0430\u043b\u0430\u0434\u044b. AB\u20d7=(x2\u2212x1;y2\u2212y1;z2\u2212z1) \u0422\u0456\u0440\u0435\u043a \u0441\u044b\u0437\u0431\u0430 (\u0431\u043b\u043e\u043a-\u0441\u0445\u0435\u043c\u0430): \u041c\u044b\u0441\u0430\u043b \u0435\u0441\u0435\u043f: \u0411\u0435\u0440\u0456\u043b\u0433\u0435\u043d A(1, 2, 3) \u0436\u04d9\u043d\u0435 B(4, 6, 9) \u043d\u04af\u043a\u0442\u0435\u043b\u0435\u0440\u0456.a) [&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-24","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/makpal.studyedu.kz\/index.php?rest_route=\/wp\/v2\/pages\/24","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=24"}],"version-history":[{"count":9,"href":"https:\/\/makpal.studyedu.kz\/index.php?rest_route=\/wp\/v2\/pages\/24\/revisions"}],"predecessor-version":[{"id":110,"href":"https:\/\/makpal.studyedu.kz\/index.php?rest_route=\/wp\/v2\/pages\/24\/revisions\/110"}],"wp:attachment":[{"href":"https:\/\/makpal.studyedu.kz\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=24"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}