{"id":2906,"date":"2024-11-28T05:19:20","date_gmt":"2024-11-28T02:19:20","guid":{"rendered":"https:\/\/currconv.ru\/blog\/10137-2\/"},"modified":"2024-11-28T05:19:20","modified_gmt":"2024-11-28T02:19:20","slug":"10137","status":"publish","type":"post","link":"https:\/\/currconv.ru\/blog\/10137\/","title":{"rendered":"\u041f\u0440\u0438\u043c\u0435\u0440 \u2116253 \u0438\u0437 \u0437\u0430\u0434\u0430\u043d\u0438\u044f 2"},"content":{"rendered":"<div class=\"fpm_start\"><\/div>\n<p>\u0414\u0430\u043d\u044b \u0432\u0435\u043a\u0442\u043e\u0440\u044b <span class=\"katex-eq\" data-katex-display=\"false\">\\overrightarrow{a} (9;-4)<\/span>, <span class=\"katex-eq\" data-katex-display=\"false\">\\overrightarrow{b} (-12;2)<\/span> \u0438 <span class=\"katex-eq\" data-katex-display=\"false\">\\overrightarrow{c} (11;-8)<\/span>. \u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u044f <span class=\"katex-eq\" data-katex-display=\"false\">\\overrightarrow{a} \\cdot (\\overrightarrow{b}+\\overrightarrow{c})<\/span>.<\/p>\n<p><span id=\"more-10137\"><\/span><\/p>\n<hr class=\"wp-block-separator has-css-opacity\"\/>\n<h2 class=\"wp-block-heading has-text-align-center has-medium-font-size\"><strong>\u0420\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/h2>\n<p>\u0421\u0443\u043c\u043c\u0430 \u0434\u0432\u0443\u0445 \u0432\u0435\u043a\u0442\u043e\u0440\u043e\u0432 <span class=\"katex-eq\" data-katex-display=\"false\">\\overrightarrow{b}(x_1; y_1)<\/span> \u0438 <span class=\"katex-eq\" data-katex-display=\"false\">\\overrightarrow{c}(x_2; y_2)<\/span> \u0440\u0430\u0432\u043d\u044f\u0435\u0442\u0441\u044f <span class=\"katex-eq\" data-katex-display=\"false\">\\overrightarrow{b} + \\overrightarrow{c}=x_1 + x_2 ; y_1 + y_2<\/span>. <\/p>\n<p>\u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u043c \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0432\u0435\u043a\u0442\u043e\u0440\u0430:<\/p>\n<p>\u041f\u0443\u0441\u0442\u044c <span class=\"katex-eq\" data-katex-display=\"false\">\\overrightarrow{t}=\\overrightarrow{b}+\\overrightarrow{c}<\/span>:<\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"true\">\\overrightarrow{t}=\\{-12+11; 2+(-8)\\}=\\{-1; -6\\}<\/span>.<\/p>\n<p>\u041f\u043e\u043b\u0443\u0447\u0430\u0435\u0442\u0441\u044f \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435 <span class=\"katex-eq\" data-katex-display=\"false\">\\overrightarrow{a} \\cdot \\overrightarrow{t}.<\/span><\/p>\n<p>\u0421\u043a\u0430\u043b\u044f\u0440\u043d\u043e\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0434\u0432\u0443\u0445 \u0432\u0435\u043a\u0442\u043e\u0440\u043e\u0432 <span class=\"katex-eq\" data-katex-display=\"false\">\\overrightarrow{t}(x_1; y_1)<\/span> \u0438 <span class=\"katex-eq\" data-katex-display=\"false\">\\overrightarrow{c}(x_2; y_2)<\/span> \u0440\u0430\u0432\u043d\u044f\u0435\u0442\u0441\u044f <span class=\"katex-eq\" data-katex-display=\"false\">\\overrightarrow{t} \\cdot \\overrightarrow{c}=x_1 x_2 + y_1 y_2<\/span>. <\/p>\n<p>\u041d\u0430\u0439\u0434\u0435\u043c \u0441\u043a\u0430\u043b\u044f\u0440\u043d\u043e\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435:<\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"true\">\\overrightarrow{a} \\cdot \\overrightarrow{t}= \\overrightarrow{a} \\cdot (\\overrightarrow{b} + \\overrightarrow{c})=9 \\cdot (-1)+ (-4) \\cdot (-6)=-9+25=16.<\/span><\/p>\n<p><script data-noptimize=\"\" data-wpfc-render=\"false\">\nfpm_start( \"true\" );\n<\/script><\/p>\n<p><strong>\u041e\u0442\u0432\u0435\u0442:<\/strong> <span class=\"katex-eq\" data-katex-display=\"false\">16<\/span>.<span class=\"MathJax\" id=\"MathJax-Element-4-Frame\" tabindex=\"0\" style=\"\"><nobr><span class=\"math\" id=\"MathJax-Span-24\" style=\"width: 1.2em; display: inline-block;\"><span style=\"display: inline-block; overflow: hidden; vertical-align: -0.053em; border-left: 0px solid; width: 0px; height: 0.892em;\"><\/span><\/span><\/nobr><\/span><\/p>\n<hr class=\"wp-block-separator has-css-opacity\"\/>\n<p><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong>\u0418\u0441\u0442\u043e\u0447\u043d\u0438\u043a:<\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong> \u041e\u0442\u043a\u0440\u044b\u0442\u044b\u0439 \u0431\u0430\u043d\u043a \u0437\u0430\u0434\u0430\u0447 \u0415\u0413\u042d \u043f\u043e \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0435 (\u0417\u0430\u0434\u0430\u043d\u0438\u0435 \u2116509724)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0414\u0430\u043d\u044b \u0432\u0435\u043a\u0442\u043e\u0440\u044b \\overrightarrow{a} (9;-4), \\overrightarrow{b} (-12;2) \u0438 \\overrightarrow{c} (11;-8). \u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u044f \\overrightarrow{a} \\cdot (\\overrightarrow{b}+\\overrightarrow{c}). \u0420\u0435\u0448\u0435\u043d\u0438\u0435 \u0421\u0443\u043c\u043c\u0430 \u0434\u0432\u0443\u0445 \u0432\u0435\u043a\u0442\u043e\u0440\u043e\u0432 \\overrightarrow{b}(x_1; y_1) \u0438 \\overrightarrow{c}(x_2; y_2) \u0440\u0430\u0432\u043d\u044f\u0435\u0442\u0441\u044f \\overrightarrow{b} + \\overrightarrow{c}=x_1 + x_2 ; y_1 + y_2. \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u043c \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0432\u0435\u043a\u0442\u043e\u0440\u0430: \u041f\u0443\u0441\u0442\u044c \\overrightarrow{t}=\\overrightarrow{b}+\\overrightarrow{c}: \\overrightarrow{t}=\\{-12+11; 2+(-8)\\}=\\{-1; -6\\}. \u041f\u043e\u043b\u0443\u0447\u0430\u0435\u0442\u0441\u044f \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435 \\overrightarrow{a} \\cdot \\overrightarrow{t}. \u0421\u043a\u0430\u043b\u044f\u0440\u043d\u043e\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0434\u0432\u0443\u0445 \u0432\u0435\u043a\u0442\u043e\u0440\u043e\u0432 \\overrightarrow{t}(x_1; y_1) \u0438 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[9],"tags":[],"class_list":["post-2906","post","type-post","status-publish","format-standard","hentry","category-zadanie2_profil"],"_links":{"self":[{"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/posts\/2906","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/comments?post=2906"}],"version-history":[{"count":0,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/posts\/2906\/revisions"}],"wp:attachment":[{"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/media?parent=2906"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/categories?post=2906"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/tags?post=2906"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}