{"id":26,"date":"2025-04-07T10:37:01","date_gmt":"2025-04-07T10:37:01","guid":{"rendered":"https:\/\/makpal.studyedu.kz\/?page_id=26"},"modified":"2025-05-13T05:48:41","modified_gmt":"2025-05-13T05:48:41","slug":"%d0%ba%d0%be%d0%bc%d0%bf%d0%bb%d0%b0%d0%bd%d0%b0%d1%80-%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=26","title":{"rendered":"\u041a\u043e\u043c\u043f\u043b\u0430\u043d\u0430\u0440 \u0432\u0435\u043a\u0442\u043e\u0440\u043b\u0430\u0440"},"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\u043d\u044b \u043a\u0435\u04a3\u0456\u0441\u0442\u0456\u043a\u0442\u0435\u0433\u0456 <strong>\u043a\u043e\u043c\u043f\u043b\u0430\u043d\u0430\u0440 \u0432\u0435\u043a\u0442\u043e\u0440\u043b\u0430\u0440<\/strong> \u04b1\u0493\u044b\u043c\u044b\u043c\u0435\u043d \u0442\u0430\u043d\u044b\u0441\u0442\u044b\u0440\u0443, \u043e\u043b\u0430\u0440\u0434\u044b \u0430\u043d\u044b\u049b\u0442\u0430\u0443\u0434\u044b \u0436\u04d9\u043d\u0435 \u049b\u0430\u0441\u0438\u0435\u0442\u0442\u0435\u0440\u0456\u043d \u04af\u0439\u0440\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\">\u041a\u043e\u043c\u043f\u043b\u0430\u043d\u0430\u0440 \u0432\u0435\u043a\u0442\u043e\u0440\u043b\u0430\u0440 \u0434\u0435\u0433\u0435\u043d \u043d\u0435?<\/h4>\n\n\n\n<p><strong>\u041a\u043e\u043c\u043f\u043b\u0430\u043d\u0430\u0440 \u0432\u0435\u043a\u0442\u043e\u0440\u043b\u0430\u0440<\/strong> \u2014 \u0431\u0456\u0440 \u0436\u0430\u0437\u044b\u049b\u0442\u044b\u049b\u0442\u0430 \u0436\u0430\u0442\u0430\u0442\u044b\u043d \u0432\u0435\u043a\u0442\u043e\u0440\u043b\u0430\u0440. \u0415\u0433\u0435\u0440 \u0431\u0456\u0440\u043d\u0435\u0448\u0435 \u0432\u0435\u043a\u0442\u043e\u0440 \u0431\u0456\u0440 \u0493\u0430\u043d\u0430 \u0436\u0430\u0437\u044b\u049b\u0442\u044b\u049b \u0430\u0440\u049b\u044b\u043b\u044b \u04e9\u0442\u0441\u0435, \u043e\u043b\u0430\u0440 \u043a\u043e\u043c\u043f\u043b\u0430\u043d\u0430\u0440 \u0434\u0435\u043f \u0430\u0442\u0430\u043b\u0430\u0434\u044b. \u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430\u043b\u044b\u049b \u0430\u043d\u044b\u049b\u0442\u0430\u043c\u0430:<\/p>\n\n\n\n<p>\u04ae\u0448 \u0432\u0435\u043a\u0442\u043e\u0440 <strong>a<\/strong>, <strong>b<\/strong>, <strong>c<\/strong> \u0431\u0456\u0440 \u0436\u0430\u0437\u044b\u049b\u0442\u044b\u049b\u0442\u0430 \u0436\u0430\u0442\u0430\u0434\u044b, \u044f\u0493\u043d\u0438 <strong>\u043a\u043e\u043c\u043f\u043b\u0430\u043d\u0430\u0440<\/strong>, \u0435\u0433\u0435\u0440:<\/p>\n\n\n\n<p>c\u20d7=\u03b1a\u20d7+\u03b2b\u20d7(\u03b1,\u03b2\u2208R)<\/p>\n\n\n\n<p>\u043d\u0435\u043c\u0435\u0441\u0435<\/p>\n\n\n\n<p>\u04ae\u0448 \u0432\u0435\u043a\u0442\u043e\u0440\u0434\u044b\u04a3 \u0430\u0440\u0430\u043b\u044b\u049b <strong>\u0430\u0440\u0430\u043b\u0430\u0441 \u043a\u04e9\u0431\u0435\u0439\u0442\u0456\u043d\u0434\u0456\u0441\u0456<\/strong> \u043d\u04e9\u043b\u0433\u0435 \u0442\u0435\u04a3:<\/p>\n\n\n\n<p>[a\u20d7,b\u20d7,c\u20d7]=a\u20d7\u22c5(b\u20d7\u00d7c\u20d7)=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<figure class=\"wp-block-image size-full is-resized\"><img fetchpriority=\"high\" decoding=\"async\" width=\"710\" height=\"710\" src=\"https:\/\/makpal.studyedu.kz\/wp-content\/uploads\/2025\/04\/WhatsApp-Image-2025-04-07-at-18.03.35.jpeg\" alt=\"\" class=\"wp-image-93\" style=\"width:578px;height:auto\" srcset=\"https:\/\/makpal.studyedu.kz\/wp-content\/uploads\/2025\/04\/WhatsApp-Image-2025-04-07-at-18.03.35.jpeg 710w, https:\/\/makpal.studyedu.kz\/wp-content\/uploads\/2025\/04\/WhatsApp-Image-2025-04-07-at-18.03.35-300x300.jpeg 300w, https:\/\/makpal.studyedu.kz\/wp-content\/uploads\/2025\/04\/WhatsApp-Image-2025-04-07-at-18.03.35-150x150.jpeg 150w\" sizes=\"(max-width: 710px) 100vw, 710px\" \/><\/figure>\n\n\n\n<pre class=\"wp-block-preformatted\"><code>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/code><br>  <strong>\u041c\u044b\u0441\u0430\u043b \u0435\u0441\u0435\u043f:<\/strong><\/pre>\n\n\n\n<h4 class=\"wp-block-heading\">\u041c\u044b\u0441\u0430\u043b 1:<\/h4>\n\n\n\n<p>\u0412\u0435\u043a\u0442\u043e\u0440\u043b\u0430\u0440 \u0431\u0435\u0440\u0456\u043b\u0433\u0435\u043d:<\/p>\n\n\n\n<p>a\u20d7=(1,0,1),b\u20d7=(0,2,1),c\u20d7=(1,2,2)<\/p>\n\n\n\n<p>\u041a\u043e\u043c\u043f\u043b\u0430\u043d\u0430\u0440 \u043c\u0430?<\/p>\n\n\n\n<p><strong>\u0428\u0435\u0448\u0443\u0456:<\/strong> \u0410\u0440\u0430\u043b\u0430\u0441 \u043a\u04e9\u0431\u0435\u0439\u0442\u0456\u043d\u0434\u0456:<\/p>\n\n\n\n<p>[a\u20d7,b\u20d7,c\u20d7]=a\u20d7\u22c5(b\u20d7\u00d7c\u20d7)<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u0412\u0435\u043a\u0442\u043e\u0440\u043b\u044b\u049b \u043a\u04e9\u0431\u0435\u0439\u0442\u0456\u043d\u0434\u0456:<\/li>\n<\/ol>\n\n\n\n<p>b\u20d7\u00d7c\u20d7=\u2223i\u20d7j\u20d7k\u20d7021122\u2223=(2,\u22121,\u22122)<\/p>\n\n\n\n<p>&nbsp;\u0421\u043a\u0430\u043b\u044f\u0440 \u043a\u04e9\u0431\u0435\u0439\u0442\u0456\u043d\u0434\u0456:<\/p>\n\n\n\n<p>a\u20d7\u22c5(2,\u22121,\u22122)=1\u22c52+0\u22c5(\u22121)+1\u22c5(\u22122)=2+0\u22122=0<\/p>\n\n\n\n<p>\u2705 \u0416\u0430\u0443\u0430\u0431\u044b: <strong>\u041a\u043e\u043c\u043f\u043b\u0430\u043d\u0430\u0440<\/strong>, \u04e9\u0439\u0442\u043a\u0435\u043d\u0456 \u0430\u0440\u0430\u043b\u0430\u0441 \u043a\u04e9\u0431\u0435\u0439\u0442\u0456\u043d\u0434\u0456 \u043d\u04e9\u043b.<\/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\">\ud83d\udca1 <strong>\u041f\u0430\u0439\u0434\u0430\u043b\u044b \u043a\u0435\u04a3\u0435\u0441:<\/strong><\/h3>\n\n\n\n<p>\u0415\u0433\u0435\u0440 \u04af\u0448 \u0432\u0435\u043a\u0442\u043e\u0440 <strong>a, b, c<\/strong> \u043a\u043e\u043c\u043f\u043b\u0430\u043d\u0430\u0440 \u0431\u043e\u043b\u0441\u0430, \u043e\u043d\u0434\u0430 \u043e\u043b\u0430\u0440\u0434\u044b \u0431\u0456\u0440 \u0436\u0430\u0437\u044b\u049b\u0442\u044b\u049b\u0442\u0430 \u043a\u04e9\u0440\u0441\u0435\u0442\u0443\u0433\u0435 \u0431\u043e\u043b\u0430\u0434\u044b. \u041c\u04b1\u043d\u044b \u0433\u0440\u0430\u0444\u0438\u043a\u0430 \u0430\u0440\u049b\u044b\u043b\u044b \u0441\u0430\u0439\u0442\u0442\u0430 \u0432\u0438\u0437\u0443\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u044f \u0436\u0430\u0441\u0430\u0443 \u2014 \u04e9\u0442\u0435 \u0442\u0438\u0456\u043c\u0434\u0456 \u04d9\u0434\u0456\u0441.<\/p>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u041c\u0430\u049b\u0441\u0430\u0442\u044b: \u041e\u049b\u0443\u0448\u044b\u043d\u044b \u043a\u0435\u04a3\u0456\u0441\u0442\u0456\u043a\u0442\u0435\u0433\u0456 \u043a\u043e\u043c\u043f\u043b\u0430\u043d\u0430\u0440 \u0432\u0435\u043a\u0442\u043e\u0440\u043b\u0430\u0440 \u04b1\u0493\u044b\u043c\u044b\u043c\u0435\u043d \u0442\u0430\u043d\u044b\u0441\u0442\u044b\u0440\u0443, \u043e\u043b\u0430\u0440\u0434\u044b \u0430\u043d\u044b\u049b\u0442\u0430\u0443\u0434\u044b \u0436\u04d9\u043d\u0435 \u049b\u0430\u0441\u0438\u0435\u0442\u0442\u0435\u0440\u0456\u043d \u04af\u0439\u0440\u0435\u0442\u0443. \u049a\u044b\u0441\u049b\u0430\u0448\u0430 \u0442\u0435\u043e\u0440\u0438\u044f: \u041a\u043e\u043c\u043f\u043b\u0430\u043d\u0430\u0440 \u0432\u0435\u043a\u0442\u043e\u0440\u043b\u0430\u0440 \u0434\u0435\u0433\u0435\u043d \u043d\u0435? \u041a\u043e\u043c\u043f\u043b\u0430\u043d\u0430\u0440 \u0432\u0435\u043a\u0442\u043e\u0440\u043b\u0430\u0440 \u2014 \u0431\u0456\u0440 \u0436\u0430\u0437\u044b\u049b\u0442\u044b\u049b\u0442\u0430 \u0436\u0430\u0442\u0430\u0442\u044b\u043d \u0432\u0435\u043a\u0442\u043e\u0440\u043b\u0430\u0440. \u0415\u0433\u0435\u0440 \u0431\u0456\u0440\u043d\u0435\u0448\u0435 \u0432\u0435\u043a\u0442\u043e\u0440 \u0431\u0456\u0440 \u0493\u0430\u043d\u0430 \u0436\u0430\u0437\u044b\u049b\u0442\u044b\u049b \u0430\u0440\u049b\u044b\u043b\u044b \u04e9\u0442\u0441\u0435, \u043e\u043b\u0430\u0440 \u043a\u043e\u043c\u043f\u043b\u0430\u043d\u0430\u0440 \u0434\u0435\u043f \u0430\u0442\u0430\u043b\u0430\u0434\u044b. \u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430\u043b\u044b\u049b \u0430\u043d\u044b\u049b\u0442\u0430\u043c\u0430: \u04ae\u0448 \u0432\u0435\u043a\u0442\u043e\u0440 a, b, c \u0431\u0456\u0440 \u0436\u0430\u0437\u044b\u049b\u0442\u044b\u049b\u0442\u0430 \u0436\u0430\u0442\u0430\u0434\u044b, \u044f\u0493\u043d\u0438 \u043a\u043e\u043c\u043f\u043b\u0430\u043d\u0430\u0440, \u0435\u0433\u0435\u0440: c\u20d7=\u03b1a\u20d7+\u03b2b\u20d7(\u03b1,\u03b2\u2208R) \u043d\u0435\u043c\u0435\u0441\u0435 \u04ae\u0448 \u0432\u0435\u043a\u0442\u043e\u0440\u0434\u044b\u04a3 \u0430\u0440\u0430\u043b\u044b\u049b [&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-26","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/makpal.studyedu.kz\/index.php?rest_route=\/wp\/v2\/pages\/26","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=26"}],"version-history":[{"count":4,"href":"https:\/\/makpal.studyedu.kz\/index.php?rest_route=\/wp\/v2\/pages\/26\/revisions"}],"predecessor-version":[{"id":114,"href":"https:\/\/makpal.studyedu.kz\/index.php?rest_route=\/wp\/v2\/pages\/26\/revisions\/114"}],"wp:attachment":[{"href":"https:\/\/makpal.studyedu.kz\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=26"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}