{"id":3361,"date":"2025-01-14T06:08:47","date_gmt":"2025-01-14T03:08:47","guid":{"rendered":"https:\/\/currconv.ru\/blog\/10254-2\/"},"modified":"2025-01-14T06:08:47","modified_gmt":"2025-01-14T03:08:47","slug":"10254","status":"publish","type":"post","link":"https:\/\/currconv.ru\/blog\/10254\/","title":{"rendered":"\u041f\u0440\u0438\u043c\u0435\u0440 \u2116299 \u0438\u0437 \u0437\u0430\u0434\u0430\u043d\u0438\u044f 2"},"content":{"rendered":"<div class=\"fpm_start\"><\/div>\n<p>\u041d\u0430 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u043d\u043e\u0439 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438 \u0438\u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u044b \u0432\u0435\u043a\u0442\u043e\u0440\u044b <span class=\"katex-eq\" data-katex-display=\"false\">\\overrightarrow{a}<\/span> \u0438 <span class=\"katex-eq\" data-katex-display=\"false\">\\overrightarrow{b}<\/span>. \u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u0434\u043b\u0438\u043d\u0443 \u0432\u0435\u043a\u0442\u043e\u0440\u0430 <span class=\"katex-eq\" data-katex-display=\"false\">\\overrightarrow{2a} &#8212; \\overrightarrow{b}<\/span>.<\/p>\n<figure class=\"wp-block-image size-full\"><img fetchpriority=\"high\" decoding=\"async\" width=\"327\" height=\"225\" src=\"https:\/\/currconv.ru\/blog\/wp-content\/uploads\/2024\/03\/image.png\" alt=\"\" class=\"wp-image-10255\" srcset=\"https:\/\/currconv.ru\/blog\/wp-content\/uploads\/2024\/03\/image.png 327w, https:\/\/currconv.ru\/blog\/wp-content\/uploads\/2024\/03\/image-300x206.png 300w\" sizes=\"(max-width: 327px) 100vw, 327px\" \/><\/figure>\n<p><span id=\"more-10254\"><\/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<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{a}:<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"true\">\\overrightarrow{a}=(2-1; 1-2)=(1; -1)<\/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{b}:<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"true\">\\overrightarrow{b}=(3-5; 2-1)=(-2; 1)<\/span>.<\/p>\n<p>\u0420\u0430\u0437\u043d\u043e\u0441\u0442\u044c \u0434\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_1; y_1)<\/span> \u0440\u0430\u0432\u043d\u044f\u0435\u0442\u0441\u044f <span class=\"katex-eq\" data-katex-display=\"false\">\\overrightarrow{a} &#8212; \\overrightarrow{b}=x_1 &#8212; x_2 ; y_1 &#8212; y_2<\/span>. <\/p>\n<p>\u0421\u0443\u043c\u043c\u0430 \u0434\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_1; y_1)<\/span> \u0440\u0430\u0432\u043d\u044f\u0435\u0442\u0441\u044f <span class=\"katex-eq\" data-katex-display=\"false\">\\overrightarrow{a} + \\overrightarrow{b}=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><script data-noptimize=\"\" data-wpfc-render=\"false\">\nfpm_start( \"true\" );\n<\/script><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"true\">\\overrightarrow{2a} &#8212; \\overrightarrow{b} =\\{2 \\cdot 1 &#8212; (-2); 2 \\cdot (-1) &#8212; 1\\}=\\{4; -3\\}<\/span>.<\/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 \u0434\u043b\u0438\u043d\u0443 \u0432\u0435\u043a\u0442\u043e\u0440\u0430:<\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"true\">|\\overrightarrow{2a} &#8212; \\overrightarrow{b}|=\\sqrt{x^2+y^2}=\\sqrt{4^2+(-3)^2}=\\sqrt{16+9}=\\sqrt{25}=5.<\/span><\/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 \u2116509526)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u041d\u0430 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u043d\u043e\u0439 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438 \u0438\u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u044b \u0432\u0435\u043a\u0442\u043e\u0440\u044b \\overrightarrow{a} \u0438 \\overrightarrow{b}. \u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u0434\u043b\u0438\u043d\u0443 \u0432\u0435\u043a\u0442\u043e\u0440\u0430 \\overrightarrow{2a} &#8212; \\overrightarrow{b}. \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{a}: \\overrightarrow{a}=(2-1; 1-2)=(1; -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{b}: \\overrightarrow{b}=(3-5; 2-1)=(-2; 1). \u0420\u0430\u0437\u043d\u043e\u0441\u0442\u044c \u0434\u0443\u0445 \u0432\u0435\u043a\u0442\u043e\u0440\u043e\u0432 \\overrightarrow{a}(x_1; y_1) \u0438 \\overrightarrow{b}(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-3361","post","type-post","status-publish","format-standard","hentry","category-zadanie2_profil"],"_links":{"self":[{"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/posts\/3361","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=3361"}],"version-history":[{"count":0,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/posts\/3361\/revisions"}],"wp:attachment":[{"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/media?parent=3361"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/categories?post=3361"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/tags?post=3361"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}