{"id":558,"date":"2024-12-10T14:50:29","date_gmt":"2024-12-10T11:50:29","guid":{"rendered":"https:\/\/currconv.ru\/blog\/10387-2\/"},"modified":"2024-12-10T14:50:29","modified_gmt":"2024-12-10T11:50:29","slug":"10387","status":"publish","type":"post","link":"https:\/\/currconv.ru\/blog\/10387\/","title":{"rendered":"\u041f\u0440\u0438\u043c\u0435\u0440 \u2116353 \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}(-1; 2\\sqrt{6})<\/span> \u0438 <span class=\"katex-eq\" data-katex-display=\"false\">\\overrightarrow{b}(1; 2\\sqrt{6})<\/span>. \u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u043a\u043e\u0441\u0438\u043d\u0443\u0441 \u0443\u0433\u043b\u0430 \u043c\u0435\u0436\u0434\u0443 \u043d\u0438\u043c\u0438.<\/p>\n<p><span id=\"more-10387\"><\/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\u043a\u0430\u043b\u044f\u0440\u043d\u043e\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0432\u0435\u043a\u0442\u043e\u0440\u043e\u0432 \u0440\u0430\u0432\u043d\u044f\u0435\u0442\u0441\u044f \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044e \u0438\u0445 \u0434\u043b\u0438\u043d \u043d\u0430 \u043a\u043e\u0441\u0438\u043d\u0443\u0441 \u0443\u0433\u043b\u0430 \u043c\u0435\u0436\u0434\u0443 \u043d\u0438\u043c\u0438:<\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"true\"> \\overrightarrow{a} \\cdot \\overrightarrow{b} = \\overrightarrow{|a|} \\cdot \\overrightarrow{|b|} \\cdot \\cos \\alpha.<\/span><\/p>\n<p>\u0412\u044b\u0432\u0435\u0434\u0435\u043c \u043a\u043e\u0441\u0438\u043d\u0443\u0441 \u0443\u0433\u043b\u0430 \u043c\u0435\u0436\u0434\u0443 \u0432\u0435\u043a\u0442\u043e\u0440\u0430\u043c\u0438:<\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"true\">\\displaystyle \\cos \\alpha=\\frac{\\overrightarrow{a} \\cdot \\overrightarrow{b}}{\\overrightarrow{|a|} \\cdot \\overrightarrow{|b|}}.<\/span><\/p>\n<p>\u0412 \u0447\u0438\u0441\u043b\u0438\u0442\u0435\u043b\u0435 \u0443 \u043d\u0430\u0441 \u043f\u043e\u043b\u0443\u0447\u0438\u043b\u043e\u0441\u044c \u0441\u043a\u0430\u043b\u044f\u0440\u043d\u043e\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0432 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u0430\u0445, \u0430 \u0432 \u0437\u043d\u0430\u043c\u0435\u043d\u0430\u0442\u0435\u043b\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0434\u043b\u0438\u043d \u0432\u0435\u043a\u0442\u043e\u0440\u043e\u0432.<\/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{a}(x_1; y_1)<\/span> \u0438 <span class=\"katex-eq\" data-katex-display=\"false\">\\overrightarrow{b}(x_2; y_2)<\/span> \u0440\u0430\u0432\u043d\u044f\u0435\u0442\u0441\u044f <span class=\"katex-eq\" data-katex-display=\"false\">\\overrightarrow{a} \\cdot \\overrightarrow{b}=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{b}=-1 \\cdot 1+ 2\\sqrt{6} \\cdot 2\\sqrt{6}=-1+24=23.<\/span><\/p>\n<p><script data-noptimize=\"\" data-wpfc-render=\"false\">\nfpm_start( \"true\" );\n<\/script><\/p>\n<p>\u0414\u043b\u0438\u043d\u0430 \u0432\u0435\u043a\u0442\u043e\u0440\u0430 <span class=\"katex-eq\" data-katex-display=\"false\">\\overrightarrow{a} (x;y)<\/span> \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0435\u0442\u0441\u044f \u043f\u043e \u0444\u043e\u0440\u043c\u0443\u043b\u0435 <span class=\"katex-eq\" data-katex-display=\"false\">|\\overrightarrow{a}|=\\sqrt{x^2+y^2}<\/span>. <\/p>\n<p>\u041d\u0430\u0439\u0434\u0435\u043c \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0434\u043b\u0438\u043d \u0432\u0435\u043a\u0442\u043e\u0440\u043e\u0432:<\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"true\">|\\overrightarrow{a}| \\cdot |\\overrightarrow{b}|=\\sqrt{(-1)^2+ (2\\sqrt{6})^2} \\cdot \\sqrt{1^2+\\sqrt{6}^2}=\\sqrt{25} \\cdot \\sqrt{25}=\\sqrt{625}=25.<\/span><\/p>\n<p>\u041d\u0430\u0439\u0434\u0435\u043c \u043a\u043e\u0441\u0438\u043d\u0443\u0441 \u0443\u0433\u043b\u0430 \u043c\u0435\u0436\u0434\u0443 \u0432\u0435\u043a\u0442\u043e\u0440\u0430\u043c\u0438:<\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"true\">\\displaystyle \\cos \\alpha=\\frac{23}{25}=0,92.<\/span><\/p>\n<p><strong>\u041e\u0442\u0432\u0435\u0442:<\/strong> <span class=\"katex-eq\" data-katex-display=\"false\">0,92<\/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 \u2116509819)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0414\u0430\u043d\u044b \u0432\u0435\u043a\u0442\u043e\u0440\u044b \\overrightarrow{a}(-1; 2\\sqrt{6}) \u0438 \\overrightarrow{b}(1; 2\\sqrt{6}). \u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u043a\u043e\u0441\u0438\u043d\u0443\u0441 \u0443\u0433\u043b\u0430 \u043c\u0435\u0436\u0434\u0443 \u043d\u0438\u043c\u0438. \u0420\u0435\u0448\u0435\u043d\u0438\u0435 \u0421\u043a\u0430\u043b\u044f\u0440\u043d\u043e\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0432\u0435\u043a\u0442\u043e\u0440\u043e\u0432 \u0440\u0430\u0432\u043d\u044f\u0435\u0442\u0441\u044f \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044e \u0438\u0445 \u0434\u043b\u0438\u043d \u043d\u0430 \u043a\u043e\u0441\u0438\u043d\u0443\u0441 \u0443\u0433\u043b\u0430 \u043c\u0435\u0436\u0434\u0443 \u043d\u0438\u043c\u0438: \\overrightarrow{a} \\cdot \\overrightarrow{b} = \\overrightarrow{|a|} \\cdot \\overrightarrow{|b|} \\cdot \\cos \\alpha. \u0412\u044b\u0432\u0435\u0434\u0435\u043c \u043a\u043e\u0441\u0438\u043d\u0443\u0441 \u0443\u0433\u043b\u0430 \u043c\u0435\u0436\u0434\u0443 \u0432\u0435\u043a\u0442\u043e\u0440\u0430\u043c\u0438: \\displaystyle \\cos \\alpha=\\frac{\\overrightarrow{a} \\cdot \\overrightarrow{b}}{\\overrightarrow{|a|} \\cdot \\overrightarrow{|b|}}. \u0412 \u0447\u0438\u0441\u043b\u0438\u0442\u0435\u043b\u0435 \u0443 \u043d\u0430\u0441 \u043f\u043e\u043b\u0443\u0447\u0438\u043b\u043e\u0441\u044c \u0441\u043a\u0430\u043b\u044f\u0440\u043d\u043e\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0432 [&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-558","post","type-post","status-publish","format-standard","hentry","category-zadanie2_profil"],"_links":{"self":[{"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/posts\/558","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=558"}],"version-history":[{"count":0,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/posts\/558\/revisions"}],"wp:attachment":[{"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/media?parent=558"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/categories?post=558"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/tags?post=558"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}