{"id":228,"date":"2023-07-10T23:13:43","date_gmt":"2023-07-10T23:13:43","guid":{"rendered":"https:\/\/mathority.org\/ru\/%d0%bd%d0%b0%d0%ba%d0%bb%d0%be%d0%bd-%d1%84%d0%be%d1%80%d0%bc%d1%83%d0%bb%d1%8b-%d1%84%d0%be%d1%80%d0%bc%d1%83%d0%bb%d1%8b\/"},"modified":"2023-07-10T23:13:43","modified_gmt":"2023-07-10T23:13:43","slug":"%d0%bd%d0%b0%d0%ba%d0%bb%d0%be%d0%bd-%d1%84%d0%be%d1%80%d0%bc%d1%83%d0%bb%d1%8b-%d1%84%d0%be%d1%80%d0%bc%d1%83%d0%bb%d1%8b","status":"publish","type":"post","link":"https:\/\/mathority.org\/ru\/%d0%bd%d0%b0%d0%ba%d0%bb%d0%be%d0%bd-%d1%84%d0%be%d1%80%d0%bc%d1%83%d0%bb%d1%8b-%d1%84%d0%be%d1%80%d0%bc%d1%83%d0%bb%d1%8b\/","title":{"rendered":"\u041d\u0430\u043a\u043b\u043e\u043d \u043b\u0438\u043d\u0438\u0438 (\u0444\u043e\u0440\u043c\u0443\u043b\u0430)"},"content":{"rendered":"<p>\u041d\u0430 \u044d\u0442\u043e\u0439 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435 \u0432\u044b \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u043d\u0430\u0438\u0431\u043e\u043b\u0435\u0435 \u043f\u043e\u0434\u0440\u043e\u0431\u043d\u043e\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u0438\u0435 \u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u043b\u0438\u043d\u0438\u0438: \u043a\u0430\u043a\u043e\u0432\u0430 \u0435\u0435 \u0444\u043e\u0440\u043c\u0443\u043b\u0430, \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0440\u0430\u0441\u0447\u0435\u0442\u0430, \u0447\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442 \u043f\u043e\u043d\u044f\u0442\u0438\u0435 \u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u043b\u0438\u043d\u0438\u0438\u2026 \u0412\u044b \u0442\u0430\u043a\u0436\u0435 \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c, \u043a\u0430\u043a \u043b\u0435\u0433\u043a\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u043d\u0430\u043a\u043b\u043e\u043d \u043b\u0438\u043d\u0438\u0438. \u043b\u0438\u043d\u0438\u0438 \u0438\u0437 \u0435\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0438, \u043a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0432\u044b \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u043f\u043e\u043f\u0440\u0430\u043a\u0442\u0438\u043a\u043e\u0432\u0430\u0442\u044c\u0441\u044f, \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u044f \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f, \u0440\u0435\u0448\u0430\u0435\u043c\u044b\u0435 \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c. <\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-104\"><\/div>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-pendiente-de-una-recta\"><\/span> \u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u043b\u0438\u043d\u0438\u0438 <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-105\"><\/div>\n<\/div>\n<div style=\"background-color:#FFCC8080;padding-top: 20px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 30px; border: 2px solid #FFB74D; border-radius:20px;\">\n<p style=\"text-align:left\"> <strong>\u041d\u0430\u043a\u043b\u043e\u043d \u043b\u0438\u043d\u0438\u0438<\/strong> \u0440\u0430\u0432\u0435\u043d \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u044c\u043d\u043e\u043c\u0443 \u0441\u043c\u0435\u0449\u0435\u043d\u0438\u044e \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u0442\u043e\u0447\u043a\u0430\u043c\u0438, \u0434\u0435\u043b\u0435\u043d\u043d\u043e\u043c\u0443 \u043d\u0430 \u0433\u043e\u0440\u0438\u0437\u043e\u043d\u0442\u0430\u043b\u044c\u043d\u043e\u0435 \u0441\u043c\u0435\u0449\u0435\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u044d\u0442\u0438\u043c\u0438 \u0434\u0432\u0443\u043c\u044f \u0442\u043e\u0447\u043a\u0430\u043c\u0438.<\/p>\n<p style=\"text-align:left\"> \u0422\u043e \u0435\u0441\u0442\u044c, \u0443\u0447\u0438\u0442\u044b\u0432\u0430\u044f \u0434\u0432\u0435 \u0442\u043e\u0447\u043a\u0438 \u043d\u0430 \u043f\u0440\u044f\u043c\u043e\u0439:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-64af51bbaed8952d251997515c64b85c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P_1(x_1,y_1) \\qquad P_2(x_2,y_2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"184\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\"text-align:left\"> \u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u043b\u0438\u043d\u0438\u0438: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6ca826248e812d4f19056960777cb00f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m = \\cfrac{\\Delta y}{\\Delta x} = \\cfrac{y_2-y_1}{x_2-x_1}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"150\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/pente-dune-ligne-1.webp\" alt=\"\u043a\u0430\u043a\u043e\u0432 \u043d\u0430\u043a\u043b\u043e\u043d \u043b\u0438\u043d\u0438\u0438\" class=\"wp-image-1523\" width=\"328\" height=\"312\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-como-calcular-la-pendiente-de-una-recta-a-partir-de-dos-puntos\"><\/span> \u041f\u0440\u0438\u043c\u0435\u0440 \u0440\u0430\u0441\u0447\u0435\u0442\u0430 \u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u043b\u0438\u043d\u0438\u0438 \u0438\u0437 \u0434\u0432\u0443\u0445 \u0442\u043e\u0447\u0435\u043a <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-106\"><\/div>\n<\/div>\n<p> \u0414\u0430\u043b\u0435\u0435 \u043c\u044b \u0443\u0432\u0438\u0434\u0438\u043c \u043f\u0440\u0438\u043c\u0435\u0440 \u0442\u043e\u0433\u043e, \u043a\u0430\u043a \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u044b\u0432\u0430\u0435\u0442\u0441\u044f \u043d\u0430\u043a\u043b\u043e\u043d \u043b\u0438\u043d\u0438\u0438 \u043f\u043e \u0444\u043e\u0440\u043c\u0443\u043b\u0435:<\/p>\n<ul>\n<li> \u0420\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0439\u0442\u0435 \u043d\u0430\u043a\u043b\u043e\u043d \u043b\u0438\u043d\u0438\u0438, \u043f\u0440\u043e\u0445\u043e\u0434\u044f\u0449\u0435\u0439 \u0447\u0435\u0440\u0435\u0437 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0434\u0432\u0435 \u0442\u043e\u0447\u043a\u0438:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5625033af5d12379bbc5e375fd06888d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P_1(3,1) \\qquad P_2(5,7)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"152\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0427\u0442\u043e\u0431\u044b \u043d\u0430\u0439\u0442\u0438 \u043d\u0430\u043a\u043b\u043e\u043d \u044d\u0442\u043e\u0439 \u043b\u0438\u043d\u0438\u0438, \u043f\u0440\u043e\u0441\u0442\u043e \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u0442\u0435 \u0435\u0435 \u0444\u043e\u0440\u043c\u0443\u043b\u0443:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a5b9ed9145447559a6eb62e27c584432_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m = \\cfrac{\\Delta y}{\\Delta x} = \\cfrac{y_2-y_1}{x_2-x_1}=\\cfrac{7-1}{5-3}=\\cfrac{6}{2} = \\bm{3}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"281\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<p> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043d\u0430\u043a\u043b\u043e\u043d \u043b\u0438\u043d\u0438\u0438 \u0440\u0430\u0432\u0435\u043d 3. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"hallar-la-pendiente-de-una-recta-a-partir-de-su-ecuacion\"><\/span> \u041d\u0430\u0445\u043e\u0436\u0434\u0435\u043d\u0438\u0435 \u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u043f\u0440\u044f\u043c\u043e\u0439 \u043f\u043e \u0435\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044e <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-109\"><\/div>\n<\/div>\n<p> \u0412 \u0440\u0430\u0437\u0434\u0435\u043b\u0435 \u0432\u044b\u0448\u0435 \u043c\u044b \u0442\u043e\u043b\u044c\u043a\u043e \u0447\u0442\u043e \u0443\u0432\u0438\u0434\u0435\u043b\u0438, \u043a\u0430\u043a \u0447\u0438\u0441\u043b\u0435\u043d\u043d\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u043d\u0430\u043a\u043b\u043e\u043d \u043b\u0438\u043d\u0438\u0438. \u041e\u0434\u043d\u0430\u043a\u043e \u043d\u0435 \u0432\u0441\u0435\u0433\u0434\u0430 \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u0438\u0442\u044c \u0440\u0430\u0441\u0447\u0435\u0442\u044b, \u043d\u043e \u0435\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u043c\u043e\u0436\u043d\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u0438 \u0438\u0437 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043b\u0438\u043d\u0438\u0438. \u041a\u0430\u0436\u0434\u044b\u0439 \u0442\u0438\u043f \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0440\u0430\u0437\u043b\u0438\u0447\u0435\u043d, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u0440\u0430\u0437\u0431\u0435\u0440\u0435\u043c \u043a\u0430\u0436\u0434\u044b\u0439 \u0441\u043b\u0443\u0447\u0430\u0439 \u043e\u0442\u0434\u0435\u043b\u044c\u043d\u043e. <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"pendiente-dada-la-ecuacion-explicita-de-la-recta\"><\/span> \u041d\u0430\u043a\u043b\u043e\u043d \u043f\u043e \u044f\u0432\u043d\u043e\u043c\u0443 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044e \u043b\u0438\u043d\u0438\u0438<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> \u042f\u0432\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043b\u0438\u043d\u0438\u0438 \u0441\u043b\u0435\u0434\u0443\u0435\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u043c\u0443 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u044e:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9f20f0b48ca24d4d8e36d110a7a9fab0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y =\\color{blue}\\bm{m}\\color{black}x+n\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"163\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> \u0422\u043e\u0433\u0434\u0430 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6b41df788161942c6f98604d37de8098_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u043d\u0430\u043a\u043b\u043e\u043d\u0443 \u043b\u0438\u043d\u0438\u0438. <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"pendiente-dada-la-ecuacion-punto-pendiente-de-la-recta\"><\/span> \u041d\u0430\u043a\u043b\u043e\u043d \u0441 \u0443\u0447\u0435\u0442\u043e\u043c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u0442\u043e\u0447\u043a\u0438 \u043b\u0438\u043d\u0438\u0438.<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> \u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0442\u043e\u0447\u043a\u0438-\u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u043b\u0438\u043d\u0438\u0438 \u0432\u044b\u0433\u043b\u044f\u0434\u0438\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-470b8b3f0e00bf809f6089864fe6dd44_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y -y_0=\\color{blue}\\bm{m}\\color{black}(x-x_0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"221\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u041a\u0430\u043a \u0438 \u0440\u0430\u043d\u0435\u0435, \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6b41df788161942c6f98604d37de8098_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u043d\u0430\u043a\u043b\u043e\u043d\u0443 \u043b\u0438\u043d\u0438\u0438. <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"pendiente-dada-la-ecuacion-implicita-de-la-recta\"><\/span> \u041d\u0430\u043a\u043b\u043e\u043d \u0441 \u0443\u0447\u0435\u0442\u043e\u043c \u043d\u0435\u044f\u0432\u043d\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043b\u0438\u043d\u0438\u0438<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> \u0423\u0447\u0438\u0442\u044b\u0432\u0430\u044f \u043d\u0435\u044f\u0432\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043b\u0438\u043d\u0438\u0438 (\u0442\u0430\u043a\u0436\u0435 \u043d\u0430\u0437\u044b\u0432\u0430\u0435\u043c\u043e\u0435 \u043e\u0431\u0449\u0438\u043c \u0438\u043b\u0438 \u0434\u0435\u043a\u0430\u0440\u0442\u043e\u0432\u044b\u043c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435\u043c):<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-02f4d03229cc8bd79a81b676a8132f37_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Ax+By+C=0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"137\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> \u041d\u0430\u043a\u043b\u043e\u043d \u043b\u0438\u043d\u0438\u0438 \u043c\u043e\u0436\u043d\u043e \u043d\u0430\u0439\u0442\u0438, \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u0432: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-94f59cc7d3c1b4ece0a70a3587fa0a77_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m=-\\cfrac{A}{B}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"70\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"pendiente-dado-el-vector-director-de-la-recta\"><\/span> \u041d\u0430\u043a\u043b\u043e\u043d \u0441 \u0443\u0447\u0435\u0442\u043e\u043c \u0432\u0435\u043a\u0442\u043e\u0440\u0430 \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u043b\u0438\u043d\u0438\u0438<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> \u0412\u0435\u043a\u0442\u043e\u0440 \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u043b\u0438\u043d\u0438\u0438 \u2014 \u044d\u0442\u043e \u0432\u0435\u043a\u0442\u043e\u0440, \u043e\u0431\u043e\u0437\u043d\u0430\u0447\u0430\u044e\u0449\u0438\u0439 \u0435\u0435 \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u0435. \u0418\u0442\u0430\u043a, \u0435\u0441\u043b\u0438 \u0432\u0435\u043a\u0442\u043e\u0440 \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u043f\u0440\u044f\u043c\u043e\u0439:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-867fb10d1409b3d95ff447f6a095219d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}= (\\text{v}_1,\\text{v}_2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"88\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u041d\u0430\u043a\u043b\u043e\u043d \u044d\u0442\u043e\u0439 \u043b\u0438\u043d\u0438\u0438 \u0440\u0430\u0432\u0435\u043d: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-cbe7689423f29f352d6a3def8b92e945_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m=\\cfrac{\\text{v}_2}{\\text{v}_1}\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"59\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"pendiente-dado-un-angulo\"><\/span> \u043d\u0430\u043a\u043b\u043e\u043d \u043f\u043e\u0434 \u0437\u0430\u0434\u0430\u043d\u043d\u044b\u043c \u0443\u0433\u043b\u043e\u043c<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> \u041d\u0430\u043a\u043e\u043d\u0435\u0446, \u0435\u0441\u043b\u0438 \u043f\u0440\u044f\u043c\u0430\u044f \u043e\u0431\u0440\u0430\u0437\u0443\u0435\u0442 \u0443\u0433\u043e\u043b<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8f0b6b1a01f8fcc2f95be0364c090397_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\alpha\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0432 \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0439 \u0447\u0430\u0441\u0442\u0438 \u043e\u0441\u0438 \u0430\u0431\u0441\u0446\u0438\u0441\u0441 (\u043e\u0441\u044c X) \u0435\u0435 \u043d\u0430\u043a\u043b\u043e\u043d \u044d\u043a\u0432\u0438\u0432\u0430\u043b\u0435\u043d\u0442\u0435\u043d \u0442\u0430\u043d\u0433\u0435\u043d\u0441\u0443 \u0443\u0433\u043b\u0430: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c2b29dd45ad9f0c0537a0cf6233ce929_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m = \\text{tg}(\\alpha)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"79\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"significado-de-la-pendiente-de-una-recta\"><\/span> \u0417\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u043b\u0438\u043d\u0438\u0438<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0418\u043c\u0435\u044f \u0432\u0441\u044e \u0438\u043d\u0444\u043e\u0440\u043c\u0430\u0446\u0438\u044e \u0432\u044b\u0448\u0435, \u043c\u044b \u0443\u0436\u0435 \u043f\u0440\u0435\u043a\u0440\u0430\u0441\u043d\u043e \u0437\u043d\u0430\u0435\u043c, \u043a\u0430\u043a \u043d\u0430\u0439\u0442\u0438 \u043d\u0430\u043a\u043b\u043e\u043d \u043b\u0438\u043d\u0438\u0438. \u041d\u043e \u043d\u0430 \u0441\u0430\u043c\u043e\u043c \u0434\u0435\u043b\u0435\u2026 \u0447\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442 \u043d\u0430\u043a\u043b\u043e\u043d \u043b\u0438\u043d\u0438\u0438?<\/p>\n<p> <strong>\u041d\u0430\u043a\u043b\u043e\u043d \u043b\u0438\u043d\u0438\u0438 \u0443\u043a\u0430\u0437\u044b\u0432\u0430\u0435\u0442 \u043d\u0430 \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u044c\u043d\u044b\u0435 \u0435\u0434\u0438\u043d\u0438\u0446\u044b, \u043d\u0430 \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u043b\u0438\u043d\u0438\u044f \u043f\u043e\u0434\u043d\u0438\u043c\u0430\u0435\u0442\u0441\u044f \u0434\u043b\u044f \u043a\u0430\u0436\u0434\u043e\u0439 \u0433\u043e\u0440\u0438\u0437\u043e\u043d\u0442\u0430\u043b\u044c\u043d\u043e\u0439 \u0435\u0434\u0438\u043d\u0438\u0446\u044b \u0433\u0440\u0430\u0444\u0438\u043a\u0430.<\/strong><\/p>\n<p> \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0432 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u0438\u0438 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0439 \u043b\u0438\u043d\u0438\u0438 \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u0432\u0438\u0434\u0435\u0442\u044c, \u0447\u0442\u043e \u043e\u043d\u0430 \u043f\u0440\u043e\u0434\u0432\u0438\u0433\u0430\u0435\u0442\u0441\u044f \u043d\u0430 2 \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u044c\u043d\u044b\u0445 \u0435\u0434\u0438\u043d\u0438\u0446\u044b \u0437\u0430 \u043a\u0430\u0436\u0434\u0443\u044e \u0433\u043e\u0440\u0438\u0437\u043e\u043d\u0442\u0430\u043b\u044c\u043d\u0443\u044e \u0435\u0434\u0438\u043d\u0438\u0446\u0443, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0435\u0435 \u043d\u0430\u043a\u043b\u043e\u043d \u0440\u0430\u0432\u0435\u043d 2. <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/equation-explicite-d-une-ligne.webp\" alt=\"\u043a\u0430\u043a\u043e\u0432 \u043d\u0430\u043a\u043b\u043e\u043d \u043b\u0438\u043d\u0438\u0438\" class=\"wp-image-1455\" width=\"341\" height=\"341\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u043d\u0430\u043a\u043b\u043e\u043d \u043b\u0438\u043d\u0438\u0438 \u0442\u0430\u043a\u0436\u0435 \u0443\u043a\u0430\u0437\u044b\u0432\u0430\u0435\u0442 \u043d\u0430 \u0435\u0435 \u043a\u0440\u0443\u0442\u0438\u0437\u043d\u0443:<\/p>\n<ul>\n<li> \u0415\u0441\u043b\u0438 \u043b\u0438\u043d\u0438\u044f \u0443\u0432\u0435\u043b\u0438\u0447\u0438\u0432\u0430\u0435\u0442\u0441\u044f (\u043f\u043e\u0434\u043d\u0438\u043c\u0430\u0435\u0442\u0441\u044f), \u0435\u0435 \u043d\u0430\u043a\u043b\u043e\u043d \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u0435\u043d.<\/li>\n<li> \u0415\u0441\u043b\u0438 \u043b\u0438\u043d\u0438\u044f \u0443\u0431\u044b\u0432\u0430\u0435\u0442 (\u043d\u0438\u0441\u0445\u043e\u0434\u044f\u0449\u0430\u044f), \u0435\u0435 \u043d\u0430\u043a\u043b\u043e\u043d \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0439.<\/li>\n<li> \u0415\u0441\u043b\u0438 \u043b\u0438\u043d\u0438\u044f \u043f\u043e\u043b\u043d\u043e\u0441\u0442\u044c\u044e \u0433\u043e\u0440\u0438\u0437\u043e\u043d\u0442\u0430\u043b\u044c\u043d\u0430, \u0435\u0435 \u043d\u0430\u043a\u043b\u043e\u043d \u0440\u0430\u0432\u0435\u043d 0.<\/li>\n<li> \u0415\u0441\u043b\u0438 \u043b\u0438\u043d\u0438\u044f \u043f\u043e\u043b\u043d\u043e\u0441\u0442\u044c\u044e \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u044c\u043d\u0430, \u0435\u0435 \u043d\u0430\u043a\u043b\u043e\u043d \u0440\u0430\u0432\u0435\u043d \u0431\u0435\u0441\u043a\u043e\u043d\u0435\u0447\u043d\u043e\u0441\u0442\u0438. <\/li>\n<\/ul>\n<div class=\"wp-block-columns is-layout-flex wp-container-167\">\n<div class=\"wp-block-column is-layout-flow\">\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/pente-positive-ou-negative-de-la-droite.webp\" alt=\"\u043d\u0430\u043a\u043b\u043e\u043d \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0439 \u0438\u043b\u0438 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0439 \u043b\u0438\u043d\u0438\u0438\" class=\"wp-image-1540\" width=\"470\" height=\"238\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/pente-dune-ligne-zero-ou-infinie.webp\" alt=\"\u043d\u0430\u043a\u043b\u043e\u043d \u043d\u0443\u043b\u0435\u0432\u043e\u0439 \u0438\u043b\u0438 \u0431\u0435\u0441\u043a\u043e\u043d\u0435\u0447\u043d\u043e\u0439 \u043b\u0438\u043d\u0438\u0438\" class=\"wp-image-1541\" width=\"478\" height=\"238\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<\/div>\n<\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"posicion-relativa-de-las-rectas\"><\/span> \u041e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u043b\u0438\u043d\u0438\u0439<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> \u0421 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u043b\u0438\u043d\u0438\u044f\u043c\u0438 \u043c\u043e\u0436\u043d\u043e \u0443\u0437\u043d\u0430\u0442\u044c \u0438 \u043f\u043e \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430\u043c \u043e\u0442\u043a\u043e\u0441\u043e\u0432:<\/p>\n<ul>\n<li> \u0415\u0441\u043b\u0438 \u0434\u0432\u0435 \u043b\u0438\u043d\u0438\u0438 \u0438\u043c\u0435\u044e\u0442 \u0440\u0430\u0437\u043d\u044b\u0435 \u043d\u0430\u043a\u043b\u043e\u043d\u044b, \u044d\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442, \u0447\u0442\u043e \u043e\u043d\u0438 <strong>\u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0442\u0441\u044f<\/strong> , \u0442\u043e \u0435\u0441\u0442\u044c \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0442\u0441\u044f \u0432 \u0442\u043e\u0447\u043a\u0435. <\/li>\n<\/ul>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/secantes-pente-d-une-ligne.webp\" alt=\"\u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0449\u0438\u0435\u0441\u044f \u043b\u0438\u043d\u0438\u0438, \u0447\u0435\u0442\u043a\u0438\u0435 \u0443\u043a\u043b\u043e\u043d\u044b\" class=\"wp-image-1549\" width=\"222\" height=\"232\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0443\u0433\u043e\u043b \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u043b\u0438\u043d\u0438\u044f\u043c\u0438 \u043f\u043e\u043f\u0435\u0440\u0435\u043a \u0438\u0445 \u043d\u0430\u043a\u043b\u043e\u043d\u043e\u0432 \u043c\u043e\u0436\u043d\u043e \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0442\u044c \u043f\u043e \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0439 \u0444\u043e\u0440\u043c\u0443\u043b\u0435:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-95b6b3d8558ce7ad38e9652a3f9f612d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{tg}(\\alpha) = \\cfrac{m_2-m_1}{1+m_1\\cdot m_2}\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"157\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<ul>\n<li> \u0412\u043e-\u0432\u0442\u043e\u0440\u044b\u0445, \u0435\u0441\u043b\u0438 \u0434\u0432\u0435 \u043b\u0438\u043d\u0438\u0438 \u0438\u043c\u0435\u044e\u0442 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u044b\u0439 \u043d\u0430\u043a\u043b\u043e\u043d, \u044d\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442, \u0447\u0442\u043e \u043e\u043d\u0438 <strong>\u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b<\/strong> . <\/li>\n<\/ul>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/lignes-paralleles-pente-dune-ligne.webp\" alt=\"\u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b\u0435 \u043b\u0438\u043d\u0438\u0438 \u0440\u0430\u0432\u043d\u044b \u043d\u0430\u043a\u043b\u043e\u043d\u0430\u043c\" class=\"wp-image-1550\" width=\"207\" height=\"208\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<ul>\n<li> \u041d\u0430\u043a\u043e\u043d\u0435\u0446, \u043d\u0430\u043a\u043b\u043e\u043d\u044b \u0434\u0432\u0443\u0445 <strong>\u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b\u0445<\/strong> \u0438\u043b\u0438 <strong>\u043e\u0440\u0442\u043e\u0433\u043e\u043d\u0430\u043b\u044c\u043d\u044b\u0445<\/strong> \u043b\u0438\u043d\u0438\u0439 (\u043e\u0431\u0440\u0430\u0437\u0443\u044e\u0449\u0438\u0445 90\u00b0) \u0443\u0434\u043e\u0432\u043b\u0435\u0442\u0432\u043e\u0440\u044f\u044e\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u043c\u0443 \u0443\u0441\u043b\u043e\u0432\u0438\u044e: <\/li>\n<\/ul>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/lignes-perpendiculaires-pente-d-une-ligne.webp\" alt=\"\u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b\u0435 \u043b\u0438\u043d\u0438\u0438, \u043f\u0440\u043e\u0442\u0438\u0432\u043e\u043f\u043e\u043b\u043e\u0436\u043d\u044b\u0435 \u043d\u0430\u043a\u043b\u043e\u043d\u0430\u043c\" class=\"wp-image-1551\" width=\"183\" height=\"270\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u042d\u0442\u043e \u043e\u0434\u0438\u043d \u0438\u0437 \u0441\u043f\u043e\u0441\u043e\u0431\u043e\u0432 \u0443\u0437\u043d\u0430\u0442\u044c, \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b \u0438\u043b\u0438 \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b \u0434\u0432\u0435 \u043b\u0438\u043d\u0438\u0438 \u0434\u0440\u0443\u0433 \u0434\u0440\u0443\u0433\u0443, \u043e\u0434\u043d\u0430\u043a\u043e \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u044e\u0442 \u0438 \u0434\u0440\u0443\u0433\u0438\u0435 \u043c\u0435\u0442\u043e\u0434\u044b, \u043d\u0435\u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u0438\u0437 \u043a\u043e\u0442\u043e\u0440\u044b\u0445 \u0434\u0430\u0436\u0435 \u0431\u044b\u0441\u0442\u0440\u0435\u0435. \u0427\u0442\u043e\u0431\u044b \u0443\u0437\u043d\u0430\u0442\u044c \u0431\u043e\u043b\u044c\u0448\u0435, \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u043f\u0435\u0440\u0435\u0439\u0442\u0438 \u043a \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u0438\u044e  \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u043e\u0441\u0442\u0438  \u0438  \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u043e\u0441\u0442\u0438 \u043c\u0435\u0436\u0434\u0443 \u043b\u0438\u043d\u0438\u044f\u043c\u0438  . \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u043d\u0430 \u044d\u0442\u0438\u0445 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0430\u0445 \u0442\u0430\u043a\u0436\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u0442\u0441\u044f, \u043a\u0430\u043a \u043d\u0430\u0439\u0442\u0438 \u043b\u0438\u043d\u0438\u044e, \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u0443\u044e (\u0438\u043b\u0438 \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u0443\u044e) \u0434\u0440\u0443\u0433\u043e\u0439. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-la-pendiente-de-una-recta\"><\/span> \u0420\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \u043f\u0440\u043e\u0431\u043b\u0435\u043c\u044b \u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u043b\u0438\u043d\u0438\u0438<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\"> \u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 1<\/h3>\n<p> \u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u043d\u0430\u043a\u043b\u043e\u043d \u043b\u0438\u043d\u0438\u0438, \u043f\u0440\u043e\u0445\u043e\u0434\u044f\u0449\u0435\u0439 \u0447\u0435\u0440\u0435\u0437 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0434\u0432\u0435 \u0442\u043e\u0447\u043a\u0438: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ae1737beb6850f4de1ea0c016cc1bc6c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P_1(5,6) \\qquad P_2(8,3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"152\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u0414\u043b\u044f \u0440\u0430\u0441\u0447\u0435\u0442\u0430 \u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u043b\u0438\u043d\u0438\u0438 \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0432\u043e\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c\u0441\u044f \u0444\u043e\u0440\u043c\u0443\u043b\u043e\u0439: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-704148ba7570ada0ae582712ab7f93e6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m = \\cfrac{\\Delta y}{\\Delta x} = \\cfrac{y_2-y_1}{x_2-x_1}=\\cfrac{3-6}{8-5}=\\cfrac{-3}{3} = \\bm{-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"316\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 2<\/h3>\n<p> \u0420\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0439\u0442\u0435 \u043d\u0430\u043a\u043b\u043e\u043d \u043b\u0438\u043d\u0438\u0438, \u043f\u0440\u043e\u0445\u043e\u0434\u044f\u0449\u0435\u0439 \u0447\u0435\u0440\u0435\u0437 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0434\u0432\u0435 \u0442\u043e\u0447\u043a\u0438: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-092707a43b0264500e478afcfe29aaea_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P_1(-3,1) \\qquad P_2(-2,-4)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"193\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u0427\u0442\u043e\u0431\u044b \u043d\u0430\u0439\u0442\u0438 \u043d\u0430\u043a\u043b\u043e\u043d \u043b\u0438\u043d\u0438\u0438, \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0432\u043e\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c\u0441\u044f \u0444\u043e\u0440\u043c\u0443\u043b\u043e\u0439: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-96bd25846027e66360f0f5125603d20f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m = \\cfrac{\\Delta y}{\\Delta x} = \\cfrac{y_2-y_1}{x_2-x_1}=\\cfrac{-4-1}{-2-(-3)}=\\cfrac{-5}{-2+3}=\\cfrac{-5}{1} = \\bm{-5}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"436\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 3<\/h3>\n<p> \u041a\u0430\u043a\u043e\u0432 \u043d\u0430\u043a\u043b\u043e\u043d \u043a\u0430\u0436\u0434\u043e\u0439 \u043b\u0438\u043d\u0438\u0438? <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5d405c8176957af59906c98149714570_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{lll} A) \\ y= 2x+3 &amp; \\qquad &amp; B) \\  y-3=4(x+1) \\\\[2ex] C) \\  6x+2y-7=0 &amp; \\qquad &amp; D) \\ \\begin{cases}x=3-t \\\\[2ex] y=1+2t \\end{cases} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"102\" width=\"370\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> <strong>\u0410)<\/strong> \u041b\u0438\u043d\u0438\u044f \u0432\u044b\u0440\u0430\u0436\u0430\u0435\u0442\u0441\u044f \u0432 \u0432\u0438\u0434\u0435 \u043d\u0435\u044f\u0432\u043d\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 <strong>\u0435\u0435 \u043d\u0430\u043a\u043b\u043e\u043d \u0440\u0430\u0432\u0435\u043d 2<\/strong> (\u0447\u043b\u0435\u043d, \u0441\u043e\u043f\u0440\u043e\u0432\u043e\u0436\u0434\u0430\u044e\u0449\u0438\u0439<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> ).<\/p>\n<p class=\"has-text-align-left\"> <strong>\u0411)<\/strong> \u041b\u0438\u043d\u0438\u044f \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u044f\u0435\u0442\u0441\u044f \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435\u043c \u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u0442\u043e\u0447\u043a\u0438, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 <strong>\u0435\u0435 \u043d\u0430\u043a\u043b\u043e\u043d \u0440\u0430\u0432\u0435\u043d 4<\/strong> (\u0447\u0438\u0441\u043b\u043e \u043f\u0435\u0440\u0435\u0434 \u043a\u0440\u0443\u0433\u043b\u044b\u043c\u0438 \u0441\u043a\u043e\u0431\u043a\u0430\u043c\u0438).<\/p>\n<p class=\"has-text-align-left\"> <strong>\u0412)<\/strong> \u041b\u0438\u043d\u0438\u044f \u0438\u043c\u0435\u0435\u0442 \u0444\u043e\u0440\u043c\u0443 \u043d\u0435\u044f\u0432\u043d\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0435\u0435 \u043d\u0430\u043a\u043b\u043e\u043d \u0440\u0430\u0432\u0435\u043d:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0dd97ea88f88443fc8c46bde067053eb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m= - \\cfrac{A}{B} = -\\cfrac{6}{2} = \\bm{-3}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"164\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> <strong>\u0413)<\/strong> \u041b\u0438\u043d\u0438\u044f \u0437\u0430\u0434\u0430\u0435\u0442\u0441\u044f \u0432 \u0432\u0438\u0434\u0435 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0438\u0445 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u043d\u0443\u0436\u043d\u043e \u043d\u0430\u0439\u0442\u0438 \u0435\u0435 \u0432\u0435\u043a\u0442\u043e\u0440 \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u0438 \u0441 \u0435\u0433\u043e \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u043c\u043e\u0436\u043d\u043e \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0442\u044c \u043d\u0430\u043a\u043b\u043e\u043d \u043b\u0438\u043d\u0438\u0438. \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043a\u043e\u043c\u043f\u043e\u043d\u0435\u043d\u0442\u0430\u043c\u0438 \u0432\u0435\u043a\u0442\u043e\u0440\u0430 \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u0447\u043b\u0435\u043d\u044b, \u0441\u043e\u043f\u0440\u043e\u0432\u043e\u0436\u0434\u0430\u044e\u0449\u0438\u0435 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-40f8b062c79839dcf7f2885a9e1469e7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t:\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-920bbf7e23f9c991e14e800ec8003b1b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}} = (-1,2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"85\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418 \u043a\u0430\u043a \u0442\u043e\u043b\u044c\u043a\u043e \u043c\u044b \u0443\u0437\u043d\u0430\u0435\u043c \u0432\u0435\u043a\u0442\u043e\u0440 \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u043b\u0438\u043d\u0438\u0438, \u043c\u044b \u0441\u043c\u043e\u0436\u0435\u043c \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u043d\u0430\u043a\u043b\u043e\u043d \u043b\u0438\u043d\u0438\u0438: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-62e1424e65bcd14a34c4b366789f7b3a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m = \\cfrac{\\text{v}_2}{\\text{v}_1} = \\cfrac{2}{-1} = \\bm{-2}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"152\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 4<\/h3>\n<p> \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435 \u043d\u0430\u043a\u043b\u043e\u043d \u043a\u0430\u0436\u0434\u043e\u0439 \u0438\u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u043d\u043e\u0439 \u043d\u0430 \u0433\u0440\u0430\u0444\u0438\u043a\u0435 \u043b\u0438\u043d\u0438\u0438: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercice-dequation-de-la-ligne-explicite.webp\" alt=\"\u044f\u0432\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043f\u0440\u044f\u043c\u043e\u0439, \u0440\u0435\u0448\u0435\u043d\u0438\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c\" class=\"wp-image-1500\" width=\"377\" height=\"405\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> <strong>\u0441\u0438\u043d\u0438\u0439 \u043f\u0440\u0430\u0432\u044b\u0439<\/strong><\/p>\n<p class=\"has-text-align-left\"> \u0421\u0438\u043d\u044f\u044f \u043b\u0438\u043d\u0438\u044f \u0443\u0432\u0435\u043b\u0438\u0447\u0438\u0432\u0430\u0435\u0442\u0441\u044f \u043d\u0430 \u043e\u0434\u0438\u043d Y \u0434\u043b\u044f \u043a\u0430\u0436\u0434\u043e\u0433\u043e X, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 <strong>\u0435\u0435 \u043d\u0430\u043a\u043b\u043e\u043d \u0440\u0430\u0432\u0435\u043d 1.<\/strong><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d94dded0dc9c883f82d566d62e2d4b42_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m=1\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"47\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> <strong>\u043f\u0440\u044f\u043c\u043e \u0437\u0435\u043b\u0435\u043d\u044b\u0439<\/strong><\/p>\n<p class=\"has-text-align-left\"> \u0417\u0435\u043b\u0435\u043d\u0430\u044f \u043b\u0438\u043d\u0438\u044f \u0443\u0432\u0435\u043b\u0438\u0447\u0438\u0432\u0430\u0435\u0442\u0441\u044f \u043d\u0430 \u0442\u0440\u0438 Y \u0434\u043b\u044f \u043a\u0430\u0436\u0434\u043e\u0433\u043e X, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 <strong>\u0435\u0435 \u043d\u0430\u043a\u043b\u043e\u043d \u0440\u0430\u0432\u0435\u043d 3<\/strong> .<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-260107cba86a7b21e919180b1130050e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m=3\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"48\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> <strong>\u041a\u0440\u0430\u0441\u043d\u0430\u044f \u043b\u0438\u043d\u0438\u044f<\/strong><\/p>\n<p class=\"has-text-align-left\"> \u041a\u0440\u0430\u0441\u043d\u0430\u044f \u043b\u0438\u043d\u0438\u044f \u0443\u043c\u0435\u043d\u044c\u0448\u0430\u0435\u0442\u0441\u044f \u043d\u0430 \u0434\u0432\u0430 Y \u0434\u043b\u044f \u043a\u0430\u0436\u0434\u043e\u0433\u043e X, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 <strong>\u0435\u0435 \u043d\u0430\u043a\u043b\u043e\u043d \u0440\u0430\u0432\u0435\u043d -2<\/strong> . <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4cb69f8df8ea8c5935576ece37a640c2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m=-2\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"61\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u041d\u0430 \u044d\u0442\u043e\u0439 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435 \u0432\u044b \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u043d\u0430\u0438\u0431\u043e\u043b\u0435\u0435 \u043f\u043e\u0434\u0440\u043e\u0431\u043d\u043e\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u0438\u0435 \u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u043b\u0438\u043d\u0438\u0438: \u043a\u0430\u043a\u043e\u0432\u0430 \u0435\u0435 \u0444\u043e\u0440\u043c\u0443\u043b\u0430, \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0440\u0430\u0441\u0447\u0435\u0442\u0430, \u0447\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442 \u043f\u043e\u043d\u044f\u0442\u0438\u0435 \u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u043b\u0438\u043d\u0438\u0438\u2026 \u0412\u044b \u0442\u0430\u043a\u0436\u0435 \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c, \u043a\u0430\u043a \u043b\u0435\u0433\u043a\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u043d\u0430\u043a\u043b\u043e\u043d \u043b\u0438\u043d\u0438\u0438. \u043b\u0438\u043d\u0438\u0438 \u0438\u0437 \u0435\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0438, \u043a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0432\u044b \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u043f\u043e\u043f\u0440\u0430\u043a\u0442\u0438\u043a\u043e\u0432\u0430\u0442\u044c\u0441\u044f, \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u044f \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f, \u0440\u0435\u0448\u0430\u0435\u043c\u044b\u0435 \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c. \u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u043b\u0438\u043d\u0438\u0438 \u041d\u0430\u043a\u043b\u043e\u043d \u043b\u0438\u043d\u0438\u0438 \u0440\u0430\u0432\u0435\u043d \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u044c\u043d\u043e\u043c\u0443 \u0441\u043c\u0435\u0449\u0435\u043d\u0438\u044e \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ru\/%d0%bd%d0%b0%d0%ba%d0%bb%d0%be%d0%bd-%d1%84%d0%be%d1%80%d0%bc%d1%83%d0%bb%d1%8b-%d1%84%d0%be%d1%80%d0%bc%d1%83%d0%bb%d1%8b\/\"> <span class=\"screen-reader-text\">\u041d\u0430\u043a\u043b\u043e\u043d \u043b\u0438\u043d\u0438\u0438 (\u0444\u043e\u0440\u043c\u0443\u043b\u0430)<\/span> \u0427\u0438\u0442\u0430\u0442\u044c \u0434\u0430\u043b\u0435\u0435 &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[15],"tags":[],"class_list":["post-228","post","type-post","status-publish","format-standard","hentry","category-15"],"yoast_head":"<!-- This site is optimized 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