{"id":32,"date":"2025-04-07T10:38:27","date_gmt":"2025-04-07T10:38:27","guid":{"rendered":"https:\/\/makpal.studyedu.kz\/?page_id=32"},"modified":"2025-05-13T05:43:15","modified_gmt":"2025-05-13T05:43:15","slug":"%d0%b5%d0%ba%d1%96-%d0%bd%d2%af%d0%ba%d1%82%d0%b5%d0%bd%d1%96%d2%a3-%d0%b0%d1%80%d0%b0%d2%9b%d0%b0%d1%88%d1%8b%d2%9b%d1%82%d1%8b%d2%93%d1%8b-%d1%81%d1%84%d0%b5%d1%80%d0%b0-%d1%82%d0%b5%d2%a3%d0%b4","status":"publish","type":"page","link":"https:\/\/makpal.studyedu.kz\/?page_id=32","title":{"rendered":"\u0415\u043a\u0456 \u043d\u04af\u043a\u0442\u0435\u043d\u0456\u04a3 \u0430\u0440\u0430\u049b\u0430\u0448\u044b\u049b\u0442\u044b\u0493\u044b. \u0421\u0444\u0435\u0440\u0430 \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 \u043a\u0435\u04a3\u0456\u0441\u0442\u0456\u043a\u0442\u0435\u0433\u0456 \u0435\u043a\u0456 \u043d\u04af\u043a\u0442\u0435 \u0430\u0440\u0430\u0441\u044b\u043d\u0434\u0430\u0493\u044b \u049b\u0430\u0448\u044b\u049b\u0442\u044b\u049b\u0442\u044b \u0442\u0430\u0431\u0443 \u0444\u043e\u0440\u043c\u0443\u043b\u0430\u0441\u044b \u043c\u0435\u043d \u0441\u0444\u0435\u0440\u0430 \u0442\u0435\u04a3\u0434\u0435\u0443\u0456\u043d \u04af\u0439\u0440\u0435\u0442\u0443. \u0411\u04b1\u043b \u0444\u043e\u0440\u043c\u0443\u043b\u0430\u043b\u0430\u0440 \u043a\u0435\u04a3\u0456\u0441\u0442\u0456\u043a\u0442\u0435\u0433\u0456 \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u044f\u043b\u044b\u049b \u0435\u0441\u0435\u043f\u0442\u0435\u0440\u0433\u0435 \u043d\u0435\u0433\u0456\u0437 \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\"><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\">1. \u0415\u043a\u0456 \u043d\u04af\u043a\u0442\u0435\u043d\u0456\u04a3 \u0430\u0440\u0430\u049b\u0430\u0448\u044b\u049b\u0442\u044b\u0493\u044b:<\/h4>\n\n\n\n<p>\u0415\u043a\u0456 \u043d\u04af\u043a\u0442\u0435:<\/p>\n\n\n\n<p>A(x1,y1,z1),B(x2,y2,z2)<\/p>\n\n\n\n<p>\u0410\u0440\u0430\u049b\u0430\u0448\u044b\u049b\u0442\u044b\u049b \u0444\u043e\u0440\u043c\u0443\u043b\u0430\u0441\u044b:<\/p>\n\n\n\n<p>AB=(x2\u2212x1)2+(y2\u2212y1)2+(z2\u2212z1)2<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">2. \u0421\u0444\u0435\u0440\u0430 \u0442\u0435\u04a3\u0434\u0435\u0443\u0456:<\/h4>\n\n\n\n<p>\u0426\u0435\u043d\u0442\u0440\u0456 O(a,b,c)O(a, b, c) \u0436\u04d9\u043d\u0435 \u0440\u0430\u0434\u0438\u0443\u0441\u044b RR \u0431\u043e\u043b\u0430\u0442\u044b\u043d \u0441\u0444\u0435\u0440\u0430 \u0442\u0435\u04a3\u0434\u0435\u0443\u0456:<\/p>\n\n\n\n<p>(x\u2212a)2+(y\u2212b)2+(z\u2212c)2=R2<\/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<pre class=\"wp-block-code\"><code>&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<p><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u270f\ufe0f <strong>\u041c\u044b\u0441\u0430\u043b \u0435\u0441\u0435\u043f\u0442\u0435\u0440:<\/strong><\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">\u041c\u044b\u0441\u0430\u043b 1:<\/h4>\n\n\n\n<p><strong>A(1, 2, 3), B(4, 6, 7)<\/strong> \u043d\u04af\u043a\u0442\u0435\u043b\u0435\u0440\u0456 \u0431\u0435\u0440\u0456\u043b\u0433\u0435\u043d. \u0410\u0440\u0430\u049b\u0430\u0448\u044b\u049b\u0442\u044b\u049b\u0442\u044b \u0442\u0430\u0431\u044b\u04a3\u0434\u0430\u0440:<\/p>\n\n\n\n<p>AB=(4\u22121)2+(6\u22122)2+(7\u22123)2=9+16+16=41\u22486.4<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\u041c\u044b\u0441\u0430\u043b 2:<\/h4>\n\n\n\n<p>\u0421\u0444\u0435\u0440\u0430\u043d\u044b\u04a3 \u0446\u0435\u043d\u0442\u0440\u0456 O(2,\u22121,3) &nbsp;\u0440\u0430\u0434\u0438\u0443\u0441\u044b R=5. \u0421\u0444\u0435\u0440\u0430\u043d\u044b\u04a3 \u0442\u0435\u04a3\u0434\u0435\u0443\u0456\u043d \u0436\u0430\u0437\u044b\u04a3\u044b\u0437.<\/p>\n\n\n\n<p><strong>\u0428\u0435\u0448\u0443\u0456:<\/strong><\/p>\n\n\n\n<p>(x\u22122)2+(y+1)2+(z\u22123)2=25<\/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>\u041d\u04af\u043a\u0442\u0435\u043b\u0435\u0440\u0434\u0456 \u043a\u0435\u04a3\u0456\u0441\u0442\u0456\u043a\u0442\u0435 \u043e\u0440\u043d\u0430\u043b\u0430\u0441\u0442\u044b\u0440\u044b\u043f, \u043e\u043b\u0430\u0440\u0434\u044b\u04a3 \u0430\u0440\u0430\u0441\u044b\u043d\u0430 \u0442\u0456\u043a\u0435\u043b\u0435\u0439 \u049b\u0430\u0448\u044b\u049b\u0442\u044b\u049b \u0441\u044b\u0437\u044b\u0493\u044b\u043d \u0430\u043d\u0438\u043c\u0430\u0446\u0438\u044f\u043c\u0435\u043d \u043a\u04e9\u0440\u0441\u0435\u0442\u0443.<\/li>\n\n\n\n<li>\u0421\u0444\u0435\u0440\u0430\u043d\u044b \u0438\u043d\u0442\u0435\u0440\u0430\u043a\u0442\u0438\u0432\u0442\u0456 3D \u0442\u04af\u0440\u0434\u0435 \u043a\u04e9\u0440\u0441\u0435\u0442\u0443: \u043e\u049b\u0443\u0448\u044b \u0446\u0435\u043d\u0442\u0440 \u043c\u0435\u043d \u0440\u0430\u0434\u0438\u0443\u0441 \u0435\u043d\u0433\u0456\u0437\u0441\u0435, \u0430\u0432\u0442\u043e\u043c\u0430\u0442\u0442\u044b \u0442\u04af\u0440\u0434\u0435 \u0441\u0444\u0435\u0440\u0430 \u0441\u044b\u0437\u044b\u043b\u0430\u0434\u044b.<\/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-18.07.35.jpeg\" alt=\"\" class=\"wp-image-60\" srcset=\"https:\/\/makpal.studyedu.kz\/wp-content\/uploads\/2025\/04\/WhatsApp-Image-2025-04-07-at-18.07.35.jpeg 974w, https:\/\/makpal.studyedu.kz\/wp-content\/uploads\/2025\/04\/WhatsApp-Image-2025-04-07-at-18.07.35-300x300.jpeg 300w, https:\/\/makpal.studyedu.kz\/wp-content\/uploads\/2025\/04\/WhatsApp-Image-2025-04-07-at-18.07.35-150x150.jpeg 150w, https:\/\/makpal.studyedu.kz\/wp-content\/uploads\/2025\/04\/WhatsApp-Image-2025-04-07-at-18.07.35-768x768.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 \u043a\u0435\u04a3\u0456\u0441\u0442\u0456\u043a\u0442\u0435\u0433\u0456 \u0435\u043a\u0456 \u043d\u04af\u043a\u0442\u0435 \u0430\u0440\u0430\u0441\u044b\u043d\u0434\u0430\u0493\u044b \u049b\u0430\u0448\u044b\u049b\u0442\u044b\u049b\u0442\u044b \u0442\u0430\u0431\u0443 \u0444\u043e\u0440\u043c\u0443\u043b\u0430\u0441\u044b \u043c\u0435\u043d \u0441\u0444\u0435\u0440\u0430 \u0442\u0435\u04a3\u0434\u0435\u0443\u0456\u043d \u04af\u0439\u0440\u0435\u0442\u0443. \u0411\u04b1\u043b \u0444\u043e\u0440\u043c\u0443\u043b\u0430\u043b\u0430\u0440 \u043a\u0435\u04a3\u0456\u0441\u0442\u0456\u043a\u0442\u0435\u0433\u0456 \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u044f\u043b\u044b\u049b \u0435\u0441\u0435\u043f\u0442\u0435\u0440\u0433\u0435 \u043d\u0435\u0433\u0456\u0437 \u0431\u043e\u043b\u0430\u0434\u044b. \u049a\u044b\u0441\u049b\u0430\u0448\u0430 \u0442\u0435\u043e\u0440\u0438\u044f: 1. \u0415\u043a\u0456 \u043d\u04af\u043a\u0442\u0435\u043d\u0456\u04a3 \u0430\u0440\u0430\u049b\u0430\u0448\u044b\u049b\u0442\u044b\u0493\u044b: \u0415\u043a\u0456 \u043d\u04af\u043a\u0442\u0435: A(x1,y1,z1),B(x2,y2,z2) \u0410\u0440\u0430\u049b\u0430\u0448\u044b\u049b\u0442\u044b\u049b \u0444\u043e\u0440\u043c\u0443\u043b\u0430\u0441\u044b: AB=(x2\u2212x1)2+(y2\u2212y1)2+(z2\u2212z1)2 2. \u0421\u0444\u0435\u0440\u0430 \u0442\u0435\u04a3\u0434\u0435\u0443\u0456: \u0426\u0435\u043d\u0442\u0440\u0456 O(a,b,c)O(a, b, c) \u0436\u04d9\u043d\u0435 \u0440\u0430\u0434\u0438\u0443\u0441\u044b RR \u0431\u043e\u043b\u0430\u0442\u044b\u043d \u0441\u0444\u0435\u0440\u0430 \u0442\u0435\u04a3\u0434\u0435\u0443\u0456: (x\u2212a)2+(y\u2212b)2+(z\u2212c)2=R2 \u0422\u0456\u0440\u0435\u043a \u0441\u044b\u0437\u0431\u0430 (\u0431\u043b\u043e\u043a-\u0441\u0445\u0435\u043c\u0430): \u270f\ufe0f \u041c\u044b\u0441\u0430\u043b \u0435\u0441\u0435\u043f\u0442\u0435\u0440: \u041c\u044b\u0441\u0430\u043b 1: A(1, [&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-32","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/makpal.studyedu.kz\/index.php?rest_route=\/wp\/v2\/pages\/32","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=32"}],"version-history":[{"count":4,"href":"https:\/\/makpal.studyedu.kz\/index.php?rest_route=\/wp\/v2\/pages\/32\/revisions"}],"predecessor-version":[{"id":105,"href":"https:\/\/makpal.studyedu.kz\/index.php?rest_route=\/wp\/v2\/pages\/32\/revisions\/105"}],"wp:attachment":[{"href":"https:\/\/makpal.studyedu.kz\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=32"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}