{"id":1477,"date":"2025-09-05T14:20:09","date_gmt":"2025-09-05T11:20:09","guid":{"rendered":"https:\/\/bagrut-ru.com\/?p=1477"},"modified":"2025-09-05T15:20:35","modified_gmt":"2025-09-05T12:20:35","slug":"%d0%b1%d0%b0%d0%b3%d1%80%d1%83%d1%82-5-%d0%bb%d0%b5%d1%82%d0%be-2025-%d0%b2%d0%b0%d1%80%d0%b8%d0%b0%d0%bd%d1%82-582-807-%d0%b7%d0%b0%d0%b4%d0%b0%d0%bd%d0%b8%d0%b5-2","status":"publish","type":"post","link":"https:\/\/bagrut-ru.com\/?p=1477","title":{"rendered":"\u0411\u0410\u0413\u0420\u0423\u0422 (5). \u043b\u0435\u0442\u043e 2025, \u0412\u0410\u0420\u0418\u0410\u041d\u0422 582 (807), \u0417\u0410\u0414\u0410\u041d\u0418\u0415 2"},"content":{"rendered":"\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"616\" src=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2025\/09\/image-1024x616.png\" alt=\"\" class=\"wp-image-1537\" srcset=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2025\/09\/image-1024x616.png 1024w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2025\/09\/image-300x180.png 300w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2025\/09\/image-768x462.png 768w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2025\/09\/image.png 1390w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u041d\u0430 \u0447\u0435\u0440\u0442\u0435\u0436\u0435 \u0438\u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u0430 \u043f\u0440\u044f\u043c\u0430\u044f \u043f\u0440\u0438\u0437\u043c\u0430 \\(AOBA^\u2032 O^\u2032 B^\u2032\\), &nbsp;\u0432 \u043e\u0441\u043d\u043e\u0432\u0430\u043d\u0438\u0438 \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u043b\u0435\u0436\u0438\u0442 \u043f\u0440\u044f\u043c\u043e\u0443\u0433\u043e\u043b\u044c\u043d\u044b\u0439 \u0442\u0440\u0435\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a \\(AOB (\u2220AOB=90\u00b0)\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0422\u043e\u0447\u043a\u0430 \\(K \\)- \u0441\u0435\u0440\u0435\u0434\u0438\u043d\u0430 \u0440\u0435\u0431\u0440\u0430 \\(AB.\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0422\u043e\u0447\u043a\u0430 \\(E\\) \u043d\u0430\u0445\u043e\u0434\u0438\u0442\u0441\u044f \u043d\u0430 \u043e\u0442\u0440\u0435\u0437\u043a\u0435 \\(O\u2019B\\) \u0442\u0430\u043a, \u0447\u0442\u043e \\(\\overrightarrow {O^\u2032 E}=1\/3&nbsp;\\overrightarrow {O^\u2032 B}&nbsp;\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0422\u043e\u0447\u043a\u0430 \\(N\\) \u043d\u0430\u0445\u043e\u0434\u0438\u0442\u0441\u044f \u043d\u0430 \u043e\u0442\u0440\u0435\u0437\u043a\u0435 \\(AE \\)\u0442\u0430\u043a,\u0447\u0442\u043e \\(\\overrightarrow {AN}=3\/4&nbsp;\\overrightarrow {AE}&nbsp;\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u041e\u0431\u043e\u0437\u043d\u0430\u0447\u0438\u043c  \\(\\overrightarrow {OA}=\\underline{u}\\),  \\(\\overrightarrow {OB}=\\underline{v}\\),  \\(\\overrightarrow {OO&#8217;}=\\underline{w}\\).<\/p>\n\n\n\n<div style=\"height:100px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">A. (1) \u0412\u044b\u0440\u0430\u0437\u0438\u0442\u0435 \u0432\u0435\u043a\u0442\u043e\u0440  \\(\\overrightarrow {O&#8217;N}\\) \u0447\u0435\u0440\u0435\u0437 \u0432\u0435\u043a\u0442\u043e\u0440\u044b \\(\\underline{u}\\), \\(\\underline{v}\\), \\(\\underline{w}\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; (2) \u0414\u043e\u043a\u0430\u0436\u0438\u0442\u0435, \u0447\u0442\u043e \u0442\u043e\u0447\u043a\u0438 \\(O^\u2032,\\  N, \\ K\\) \u043b\u0435\u0436\u0430\u0442 \u043d\u0430 \u043e\u0434\u043d\u043e\u0439 \u043f\u0440\u044f\u043c\u043e\u0439 \u0438 \u043d\u0430\u0439\u0434\u0438\u0442\u0435<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">&nbsp;\u043e\u0442\u043d\u043e\u0448\u0435\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \\(O^\u2032 N\\) \u0438 \\(O^\u2032 K\\)<\/p>\n\n\n\n<div style=\"height:100px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">\u0414\u0430\u043d\u043e \\(O(0,0,0),&nbsp;\\  A(12,0,0),&nbsp;\\  E(0,3,18)\\).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0412\u0435\u0440\u0448\u0438\u043d\u0430 \\(B\\) \u043d\u0430\u0445\u043e\u0434\u0438\u0442\u0441\u044f \u043d\u0430 \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0439 \u0447\u0430\u0441\u0442\u0438 \u043e\u0441\u0438 \\(Y\\), \u0430 \u0432\u0435\u0440\u0448\u0438\u043d\u0430 \\(O\u2019\\) \u043d\u0430\u0445\u043e\u0434\u0438\u0442\u0441\u044f \u043d\u0430 \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0439 \u0447\u0430\u0441\u0442\u0438 \u043e\u0441\u0438 \\(Z\\).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0411. \u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0442\u043e\u0447\u0435\u043a N \u0438 B.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0412. \u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438 \\(A^\u2032 KB^\u2032\\).<\/p>\n\n\n\n<div style=\"height:100px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">&nbsp;\u0413.&nbsp; (1) \u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0442\u043e\u0447\u043a\u043e\u0439 N \u0438 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044c\u044e \\(A^\u2032 KB^\u2032\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; (2) \u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u043e\u0431\u044a\u0435\u043c \u043f\u0438\u0440\u0430\u043c\u0438\u0434\u044b \\(NA^\u2032 KB^\u2032\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u041f\u043e\u0434\u0440\u043e\u0431\u043d\u043e\u0435 \u0440\u0435\u0448\u0435\u043d\u0438\u0435 \u0437\u0430\u0434\u0430\u0447\u0438 \u0441\u043c\u043e\u0442\u0440\u0438\u0442\u0435 \u0432 \u0432\u0438\u0434\u0435\u043e:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/www.youtube.com\/watch?v=8fM_UoKusv0\">https:\/\/www.youtube.com\/watch?v=8fM_UoKusv0<\/a><\/p>\n\n\n\n<pre class=\"wp-block-code\"><code><\/code><\/pre>\n\n\n\n<pre class=\"wp-block-preformatted\"><a href=\"https:\/\/youtu.be\/8fM_UoKusv0\">https:\/\/youtu.be\/8fM_UoKusv0<\/a><br><br><\/pre>\n","protected":false},"excerpt":{"rendered":"<p>\u041d\u0430 \u0447\u0435\u0440\u0442\u0435\u0436\u0435 \u0438\u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u0430 \u043f\u0440\u044f\u043c\u0430\u044f \u043f\u0440\u0438\u0437\u043c\u0430 \\(AOBA^\u2032 O^\u2032 B^\u2032\\), &nbsp;\u0432 \u043e\u0441\u043d\u043e\u0432\u0430\u043d\u0438\u0438 \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u043b\u0435\u0436\u0438\u0442 \u043f\u0440\u044f\u043c\u043e\u0443\u0433\u043e\u043b\u044c\u043d\u044b\u0439 \u0442\u0440\u0435\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a \\(AOB (\u2220AOB=90\u00b0)\\) \u0422\u043e\u0447\u043a\u0430 \\(K \\)- \u0441\u0435\u0440\u0435\u0434\u0438\u043d\u0430 \u0440\u0435\u0431\u0440\u0430 \\(AB.\\) \u0422\u043e\u0447\u043a\u0430 \\(E\\) \u043d\u0430\u0445\u043e\u0434\u0438\u0442\u0441\u044f \u043d\u0430 \u043e\u0442\u0440\u0435\u0437\u043a\u0435 \\(O\u2019B\\) \u0442\u0430\u043a, \u0447\u0442\u043e \\(\\overrightarrow {O^\u2032 E}=1\/3&nbsp;\\overrightarrow {O^\u2032 B}&nbsp;\\) \u0422\u043e\u0447\u043a\u0430 \\(N\\) \u043d\u0430\u0445\u043e\u0434\u0438\u0442\u0441\u044f \u043d\u0430 \u043e\u0442\u0440\u0435\u0437\u043a\u0435 \\(AE \\)\u0442\u0430\u043a,\u0447\u0442\u043e \\(\\overrightarrow {AN}=3\/4&nbsp;\\overrightarrow {AE}&nbsp;\\) \u041e\u0431\u043e\u0437\u043d\u0430\u0447\u0438\u043c \\(\\overrightarrow {OA}=\\underline{u}\\), \\(\\overrightarrow {OB}=\\underline{v}\\), \\(\\overrightarrow {OO&#8217;}=\\underline{w}\\). A. (1) \u0412\u044b\u0440\u0430\u0437\u0438\u0442\u0435<br \/><a class=\"moretag\" href=\"https:\/\/bagrut-ru.com\/?p=1477\">+ Read More<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-1477","post","type-post","status-publish","format-standard","hentry","category-1"],"_links":{"self":[{"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=\/wp\/v2\/posts\/1477","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1477"}],"version-history":[{"count":42,"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=\/wp\/v2\/posts\/1477\/revisions"}],"predecessor-version":[{"id":1551,"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=\/wp\/v2\/posts\/1477\/revisions\/1551"}],"wp:attachment":[{"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1477"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1477"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1477"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}