{"id":913,"date":"2024-11-25T00:17:33","date_gmt":"2024-11-24T21:17:33","guid":{"rendered":"https:\/\/currconv.ru\/blog\/10485-2\/"},"modified":"2024-11-25T00:17:33","modified_gmt":"2024-11-24T21:17:33","slug":"10485","status":"publish","type":"post","link":"https:\/\/currconv.ru\/blog\/10485\/","title":{"rendered":"\u041f\u0440\u0438\u043c\u0435\u0440 \u2116381 \u0438\u0437 \u0437\u0430\u0434\u0430\u043d\u0438\u044f 2"},"content":{"rendered":"<div class=\"fpm_start\"><\/div>\n<p>\u041d\u0430 \u043a\u043b\u0435\u0442\u0447\u0430\u0442\u043e\u0439 \u0431\u0443\u043c\u0430\u0433\u0435 \u0441 \u0440\u0430\u0437\u043c\u0435\u0440\u043e\u043c \u043a\u043b\u0435\u0442\u043a\u0438 1&#215;1 \u0438\u0437\u043e\u0431\u0440\u0430\u0436\u0451\u043d \u0442\u0440\u0435\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a ABC. \u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u0441\u043a\u0430\u043b\u044f\u0440\u043d\u043e\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 <span class=\"katex-eq\" data-katex-display=\"false\">\\overrightarrow{AB} \\cdot \\overrightarrow{AC}<\/span><\/p>\n<figure class=\"wp-block-image size-full\"><img fetchpriority=\"high\" decoding=\"async\" width=\"236\" height=\"234\" src=\"https:\/\/currconv.ru\/blog\/wp-content\/uploads\/2024\/03\/image-2.png\" alt=\"\" class=\"wp-image-10486\" srcset=\"https:\/\/currconv.ru\/blog\/wp-content\/uploads\/2024\/03\/image-2.png 236w, https:\/\/currconv.ru\/blog\/wp-content\/uploads\/2024\/03\/image-2-150x150.png 150w\" sizes=\"(max-width: 236px) 100vw, 236px\" \/><\/figure>\n<p><span id=\"more-10485\"><\/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>\u0415\u0441\u043b\u0438 \u0442\u043e\u0447\u043a\u0438 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u043d\u043e\u0439 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438 \u0438\u043c\u0435\u044e\u0442 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b <span class=\"katex-eq\" data-katex-display=\"false\">A(x_1; y_1)<\/span> \u0438 <span class=\"katex-eq\" data-katex-display=\"false\">B(x_2; y_2)<\/span>, \u0442\u043e \u0432\u0435\u043a\u0442\u043e\u0440 <span class=\"katex-eq\" data-katex-display=\"false\">\\overrightarrow{AB}<\/span> \u0438\u043c\u0435\u0435\u0442 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b <span class=\"katex-eq\" data-katex-display=\"false\">(x_2-x_1; y_2-y_1)<\/span>. <\/p>\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"244\" height=\"229\" src=\"https:\/\/currconv.ru\/blog\/wp-content\/uploads\/2024\/03\/image-3.png\" alt=\"\" class=\"wp-image-10487\"\/><\/figure>\n<p>\u041d\u0430\u0439\u0434\u0435\u043c \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0432\u0435\u043a\u0442\u043e\u0440\u0430 <span class=\"katex-eq\" data-katex-display=\"false\">\\overrightarrow{AB}:<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"true\">\\overrightarrow{AB}=(4-0; 3-0)=(4; 3)<\/span>.<\/p>\n<p>\u041d\u0430\u0439\u0434\u0435\u043c \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0432\u0435\u043a\u0442\u043e\u0440\u0430 <span class=\"katex-eq\" data-katex-display=\"false\">\\overrightarrow{AC}:<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"true\">\\overrightarrow{AC}=(2-0; -1-0)=(2; -1)<\/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{AB}(x_1; y_1)<\/span> \u0438 <span class=\"katex-eq\" data-katex-display=\"false\">\\overrightarrow{AC}(x_2; y_2)<\/span> \u0440\u0430\u0432\u043d\u044f\u0435\u0442\u0441\u044f <span class=\"katex-eq\" data-katex-display=\"false\">\\overrightarrow{AB} \\cdot \\overrightarrow{AC}=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{AB} \\cdot \\overrightarrow{AC}=4 \\cdot 2 + 3 \\cdot (-1) =8-3=5.<\/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\">5<\/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 \u2116509531)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u041d\u0430 \u043a\u043b\u0435\u0442\u0447\u0430\u0442\u043e\u0439 \u0431\u0443\u043c\u0430\u0433\u0435 \u0441 \u0440\u0430\u0437\u043c\u0435\u0440\u043e\u043c \u043a\u043b\u0435\u0442\u043a\u0438 1&#215;1 \u0438\u0437\u043e\u0431\u0440\u0430\u0436\u0451\u043d \u0442\u0440\u0435\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a ABC. \u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u0441\u043a\u0430\u043b\u044f\u0440\u043d\u043e\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \\overrightarrow{AB} \\cdot \\overrightarrow{AC} \u0420\u0435\u0448\u0435\u043d\u0438\u0435 \u0415\u0441\u043b\u0438 \u0442\u043e\u0447\u043a\u0438 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u043d\u043e\u0439 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438 \u0438\u043c\u0435\u044e\u0442 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b A(x_1; y_1) \u0438 B(x_2; y_2), \u0442\u043e \u0432\u0435\u043a\u0442\u043e\u0440 \\overrightarrow{AB} \u0438\u043c\u0435\u0435\u0442 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b (x_2-x_1; y_2-y_1). \u041d\u0430\u0439\u0434\u0435\u043c \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0432\u0435\u043a\u0442\u043e\u0440\u0430 \\overrightarrow{AB}: \\overrightarrow{AB}=(4-0; 3-0)=(4; 3). \u041d\u0430\u0439\u0434\u0435\u043c \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0432\u0435\u043a\u0442\u043e\u0440\u0430 \\overrightarrow{AC}: \\overrightarrow{AC}=(2-0; -1-0)=(2; -1). \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{AB}(x_1; y_1) [&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-913","post","type-post","status-publish","format-standard","hentry","category-zadanie2_profil"],"_links":{"self":[{"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/posts\/913","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=913"}],"version-history":[{"count":0,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/posts\/913\/revisions"}],"wp:attachment":[{"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/media?parent=913"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/categories?post=913"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/tags?post=913"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}