{"id":272,"date":"2023-07-10T01:42:26","date_gmt":"2023-07-10T01:42:26","guid":{"rendered":"https:\/\/mathority.org\/ru\/%d1%84%d0%be%d1%80%d0%bc%d1%83%d0%bb%d0%b0-%d1%80%d0%b0%d1%81%d1%81%d1%82%d0%be%d1%8f%d0%bd%d0%b8%d1%8f-%d0%bc%d0%b5%d0%b6%d0%b4%d1%83-%d0%b4%d0%b2%d1%83%d0%bc%d1%8f-%d1%82%d0%be%d1%87%d0%ba%d0%b0\/"},"modified":"2023-07-10T01:42:26","modified_gmt":"2023-07-10T01:42:26","slug":"%d1%84%d0%be%d1%80%d0%bc%d1%83%d0%bb%d0%b0-%d1%80%d0%b0%d1%81%d1%81%d1%82%d0%be%d1%8f%d0%bd%d0%b8%d1%8f-%d0%bc%d0%b5%d0%b6%d0%b4%d1%83-%d0%b4%d0%b2%d1%83%d0%bc%d1%8f-%d1%82%d0%be%d1%87%d0%ba%d0%b0","status":"publish","type":"post","link":"https:\/\/mathority.org\/ru\/%d1%84%d0%be%d1%80%d0%bc%d1%83%d0%bb%d0%b0-%d1%80%d0%b0%d1%81%d1%81%d1%82%d0%be%d1%8f%d0%bd%d0%b8%d1%8f-%d0%bc%d0%b5%d0%b6%d0%b4%d1%83-%d0%b4%d0%b2%d1%83%d0%bc%d1%8f-%d1%82%d0%be%d1%87%d0%ba%d0%b0\/","title":{"rendered":"\u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u044f \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u0442\u043e\u0447\u043a\u0430\u043c\u0438 (\u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u044f)"},"content":{"rendered":"<p>\u041d\u0430 \u044d\u0442\u043e\u0439 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435 \u0432\u044b \u0443\u0437\u043d\u0430\u0435\u0442\u0435, \u043a\u0430\u043a \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0442\u044c \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u0442\u043e\u0447\u043a\u0430\u043c\u0438 \u0432 \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0438 (\u0444\u043e\u0440\u043c\u0443\u043b\u0430). \u0412\u044b \u0442\u0430\u043a\u0436\u0435 \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0438 \u0434\u043e\u043f\u043e\u043b\u043d\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u043f\u043e\u0442\u0440\u0435\u043d\u0438\u0440\u043e\u0432\u0430\u0442\u044c\u0441\u044f \u043d\u0430 \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u0445 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f\u0445 \u043d\u0430 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u0442\u043e\u0447\u043a\u0430\u043c\u0438. <\/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=\"%c2%bfcual-es-la-formula-de-la-distancia-entre-dos-puntos\"><\/span> \u041f\u043e \u043a\u0430\u043a\u043e\u0439 \u0444\u043e\u0440\u043c\u0443\u043b\u0435 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u044f\u0435\u0442\u0441\u044f \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u0442\u043e\u0447\u043a\u0430\u043c\u0438?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0420\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u0442\u043e\u0447\u043a\u0430\u043c\u0438 \u0440\u0430\u0432\u043d\u043e \u0434\u043b\u0438\u043d\u0435 \u0441\u043e\u0435\u0434\u0438\u043d\u044f\u044e\u0449\u0435\u0433\u043e \u0438\u0445 \u043e\u0442\u0440\u0435\u0437\u043a\u0430. \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u0432 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0435, \u0447\u0442\u043e\u0431\u044b \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u0440\u0430\u0437\u043d\u044b\u043c\u0438 \u0442\u043e\u0447\u043a\u0430\u043c\u0438, \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u044b \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0435\u0439 \u0438\u0445 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442, \u0430 \u0437\u0430\u0442\u0435\u043c \u043d\u0430\u0439\u0442\u0438 \u043a\u043e\u0440\u0435\u043d\u044c \u0438\u0437 \u0441\u0443\u043c\u043c\u044b \u0443\u043a\u0430\u0437\u0430\u043d\u043d\u044b\u0445 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043e\u0432. <\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-105\"><\/div>\n<\/div>\n<p> \u0414\u0440\u0443\u0433\u0438\u043c\u0438 \u0441\u043b\u043e\u0432\u0430\u043c\u0438, \u0444\u043e\u0440\u043c\u0443\u043b\u0430, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c\u0430\u044f \u0434\u043b\u044f \u0440\u0430\u0441\u0447\u0435\u0442\u0430 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u044f \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u0440\u0430\u0437\u043d\u044b\u043c\u0438 \u0442\u043e\u0447\u043a\u0430\u043c\u0438 \u043d\u0430 \u0434\u0435\u043a\u0430\u0440\u0442\u043e\u0432\u043e\u0439 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\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<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\"> \u0420\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0438\u043c \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0434\u0432\u0443\u0445 \u0440\u0430\u0437\u043b\u0438\u0447\u043d\u044b\u0445 \u0442\u043e\u0447\u0435\u043a:<\/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-617b8c4c3becdf6f6f5ee619a5c8e9d7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A(x_1,y_1) \\qquad \\qquad B(x_2,y_2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"209\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\"text-align:left\"> <strong>\u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u044f \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u0442\u043e\u0447\u043a\u0430\u043c\u0438<\/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-db8fa011bbd9bef1ae4c02642919ea13_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(A,B) = \\sqrt{(x_2-x_1)^2+(y_2-y_1)^2 \\vphantom{\\frac{1}{2}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"277\" style=\"vertical-align: -10px;\"><\/p>\n<\/p>\n<\/div>\n<p> \u042d\u0442\u0430 \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u0438\u0441\u0445\u043e\u0434\u0438\u0442 \u0438\u0437 \u0432\u0435\u043b\u0438\u0447\u0438\u043d\u044b \u0432\u0435\u043a\u0442\u043e\u0440\u0430. \u0424\u0430\u043a\u0442\u0438\u0447\u0435\u0441\u043a\u0438, \u0442\u043e, \u0447\u0442\u043e \u043c\u044b \u0434\u0435\u043b\u0430\u0435\u043c \u0441 \u044d\u0442\u043e\u0439 \u0444\u043e\u0440\u043c\u0443\u043b\u043e\u0439, \u043d\u0430 \u0441\u0430\u043c\u043e\u043c \u0434\u0435\u043b\u0435 \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0435\u043c \u0432\u0435\u043b\u0438\u0447\u0438\u043d\u0443 \u0432\u0435\u043a\u0442\u043e\u0440\u0430, \u043a\u043e\u0442\u043e\u0440\u044b\u0439 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u044f\u0435\u0442\u0441\u044f \u0434\u0432\u0443\u043c\u044f \u0440\u0430\u0441\u0441\u043c\u0430\u0442\u0440\u0438\u0432\u0430\u0435\u043c\u044b\u043c\u0438 \u0442\u043e\u0447\u043a\u0430\u043c\u0438. \u041f\u043e\u0434\u0440\u043e\u0431\u043d\u0435\u0435 \u043e\u0431 \u044d\u0442\u043e\u043c \u043c\u043e\u0436\u043d\u043e \u043f\u0440\u043e\u0447\u0438\u0442\u0430\u0442\u044c \u0432 \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u0438\u0438 \u0442\u043e\u0433\u043e,  \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u043c\u043e\u0434\u0443\u043b\u044c \u0432\u0435\u043a\u0442\u043e\u0440\u0430  .<\/p>\n<p> \u0421 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u0432 \u0430\u043d\u0430\u043b\u0438\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0438 \u0434\u0435\u043c\u043e\u043d\u0441\u0442\u0440\u0430\u0446\u0438\u044e \u0444\u043e\u0440\u043c\u0443\u043b\u044b \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u044f \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u0442\u043e\u0447\u043a\u0430\u043c\u0438 \u043c\u043e\u0436\u043d\u043e \u043f\u0440\u043e\u0432\u0435\u0441\u0442\u0438 \u0438 \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u0442\u0435\u043e\u0440\u0435\u043c\u044b \u041f\u0438\u0444\u0430\u0433\u043e\u0440\u0430: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/formule-geometrique-distance-entre-deux-points.webp\" alt=\"\u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u044f \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u0442\u043e\u0447\u043a\u0430\u043c\u0438\" class=\"wp-image-5012\" width=\"329\" height=\"329\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-106\"><\/div>\n<\/div>\n<p> \u0422\u0435\u043e\u0440\u0435\u043c\u0430 \u041f\u0438\u0444\u0430\u0433\u043e\u0440\u0430 \u0443\u0442\u0432\u0435\u0440\u0436\u0434\u0430\u0435\u0442, \u0447\u0442\u043e \u043a\u0432\u0430\u0434\u0440\u0430\u0442 \u0433\u0438\u043f\u043e\u0442\u0435\u043d\u0443\u0437\u044b \u043f\u0440\u044f\u043c\u043e\u0443\u0433\u043e\u043b\u044c\u043d\u043e\u0433\u043e \u0442\u0440\u0435\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a\u0430 \u0440\u0430\u0432\u0435\u043d \u0441\u0443\u043c\u043c\u0435 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043e\u0432 \u0435\u0433\u043e \u043a\u0430\u0442\u0435\u0442\u043e\u0432, \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e:<\/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-a030628d3e6320afdcc61fd4c3100ddd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bigl(d(A,B)\\bigr)^2 = (x_2-x_1)^2 + (y_2-y_1)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"280\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p> \u0418 \u0447\u0442\u043e\u0431\u044b \u043f\u043e\u043b\u0443\u0447\u0438\u0442\u044c \u0444\u043e\u0440\u043c\u0443\u043b\u0443, \u0432\u0430\u043c \u043f\u0440\u043e\u0441\u0442\u043e \u043d\u0443\u0436\u043d\u043e \u043d\u0430\u0439\u0442\u0438 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u0442\u043e\u0447\u043a\u0430\u043c\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-db8fa011bbd9bef1ae4c02642919ea13_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(A,B) = \\sqrt{(x_2-x_1)^2+(y_2-y_1)^2 \\vphantom{\\frac{1}{2}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"277\" style=\"vertical-align: -10px;\"><\/p>\n<\/p>\n<p> \u041d\u0430\u043a\u043e\u043d\u0435\u0446, \u0441\u0442\u043e\u0438\u0442 \u043e\u0442\u043c\u0435\u0442\u0438\u0442\u044c, \u0447\u0442\u043e \u0435\u0441\u043b\u0438 \u0431\u044b \u043c\u044b \u0440\u0430\u0431\u043e\u0442\u0430\u043b\u0438 \u0441 3-\u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u043d\u044b\u043c\u0438 \u0442\u043e\u0447\u043a\u0430\u043c\u0438, \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u044f \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u0442\u043e\u0447\u043a\u0430\u043c\u0438 \u0432 \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0435 (\u0432 R3) \u0431\u044b\u043b\u0430 \u0431\u044b \u0442\u0430\u043a\u043e\u0439 \u0436\u0435, \u043d\u043e \u0441 \u0434\u043e\u0431\u0430\u0432\u043b\u0435\u043d\u0438\u0435\u043c \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b Z: <\/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-236a06c21ada3a9557cf73a29f47d8e7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(A,B) = \\sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2 \\vphantom{\\frac{1}{2}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"374\" style=\"vertical-align: -10px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-como-calcular-la-distancia-entre-dos-puntos\"><\/span> \u041f\u0440\u0438\u043c\u0435\u0440 \u0440\u0430\u0441\u0447\u0435\u0442\u0430 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u044f \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u0442\u043e\u0447\u043a\u0430\u043c\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-109\"><\/div>\n<\/div>\n<p> \u041f\u043e\u0441\u043b\u0435 \u0442\u043e\u0433\u043e, \u043a\u0430\u043a \u043c\u044b \u0443\u0432\u0438\u0434\u0435\u043b\u0438 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u0444\u043e\u0440\u043c\u0443\u043b\u044b \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u044f \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u0442\u043e\u0447\u043a\u0430\u043c\u0438, \u0434\u0430\u0432\u0430\u0439\u0442\u0435 \u0442\u0435\u043f\u0435\u0440\u044c \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0438\u043c, \u043a\u0430\u043a \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u044d\u0442\u043e \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043d\u0430 \u043f\u0440\u0438\u043c\u0435\u0440\u0435:<\/p>\n<ul>\n<li> \u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c\u0438 \u0434\u0432\u0443\u043c\u044f \u0442\u043e\u0447\u043a\u0430\u043c\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-cdf7bd1545cb6d04a4bb3851c6794466_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A(-1,7) \\qquad \\qquad B(3,4)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"190\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0427\u0442\u043e\u0431\u044b \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0438 \u043d\u0430\u0439\u0442\u0438 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u0442\u043e\u0447\u043a\u0430\u043c\u0438, \u043f\u0440\u043e\u0441\u0442\u043e \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u0442\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-db8fa011bbd9bef1ae4c02642919ea13_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(A,B) = \\sqrt{(x_2-x_1)^2+(y_2-y_1)^2 \\vphantom{\\frac{1}{2}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"277\" style=\"vertical-align: -10px;\"><\/p>\n<\/p>\n<p> \u0422\u0435\u043f\u0435\u0440\u044c \u043f\u043e\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u043c \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0442\u043e\u0447\u0435\u043a \u0432 \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-02a4310cdfe1552b81816867261a17fe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(A,B) = \\sqrt{(3-(-1))^2+(4-7)^2 \\vphantom{\\frac{1}{2}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"271\" style=\"vertical-align: -10px;\"><\/p>\n<\/p>\n<p> \u0418 \u0434\u0435\u043b\u0430\u0435\u043c \u0440\u0430\u0441\u0447\u0435\u0442\u044b:<\/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-4e48600907e65f89fb9be0d55a2d3b3a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} d(A,B)  &amp;= \\sqrt{(3+1)^2+(4-7)^2 \\vphantom{\\frac{1}{2}}} \\\\[2ex] &amp;= \\sqrt{4^2+(-3)^2 \\vphantom{\\frac{1}{2}}} \\\\[2ex] &amp;= \\sqrt{16+9}\\\\[2ex] &amp;= \\sqrt{25}\\\\[2ex] &amp; = \\bm{5}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"233\" width=\"244\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u0442\u043e\u0447\u043a\u0430\u043c\u0438 \u0440\u0430\u0432\u043d\u043e 5 \u0435\u0434\u0438\u043d\u0438\u0446\u0430\u043c.<\/p>\n<p> \u041e\u0447\u0435\u0432\u0438\u0434\u043d\u043e, \u0447\u0442\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u044f \u0432\u0441\u0435\u0433\u0434\u0430 \u0434\u043e\u043b\u0436\u043d\u043e \u0434\u0430\u0432\u0430\u0442\u044c \u043d\u0430\u043c \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u0437\u043d\u0430\u043a, \u043f\u043e\u0442\u043e\u043c\u0443 \u0447\u0442\u043e \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u044f \u0432\u0441\u0435\u0433\u0434\u0430 \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u044b. \u0412 \u043f\u0440\u043e\u0442\u0438\u0432\u043d\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u044d\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442, \u0447\u0442\u043e \u043c\u044b \u0434\u043e\u043f\u0443\u0441\u0442\u0438\u043b\u0438 \u043e\u0448\u0438\u0431\u043a\u0443 \u043d\u0430 \u0448\u0430\u0433\u0435. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-la-distancia-entre-dos-puntos\"><\/span> \u0423\u0441\u0442\u0440\u0430\u043d\u0435\u043d\u0438\u0435 \u043d\u0435\u043f\u043e\u043b\u0430\u0434\u043e\u043a \u0441 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435\u043c \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u0442\u043e\u0447\u043a\u0430\u043c\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> \u0420\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0439\u0442\u0435 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c\u0438 \u0434\u0432\u0443\u043c\u044f \u0442\u043e\u0447\u043a\u0430\u043c\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-aa5be81901d5be989c5b72facdd42354_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A(4,2) \\qquad \\qquad B(1,5)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"177\" 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 \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u0442\u043e\u0447\u043a\u0430\u043c\u0438, \u043f\u0440\u043e\u0441\u0442\u043e \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0439\u0442\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-db8fa011bbd9bef1ae4c02642919ea13_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(A,B) = \\sqrt{(x_2-x_1)^2+(y_2-y_1)^2 \\vphantom{\\frac{1}{2}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"277\" style=\"vertical-align: -10px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0435\u043f\u0435\u0440\u044c \u043f\u043e\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u043c \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0442\u043e\u0447\u0435\u043a \u0432 \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-4afec52bf1fdc3c32a004a86e312b164_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(A,B) = \\sqrt{(1-4)^2+(5-2)^2 \\vphantom{\\frac{1}{2}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"244\" style=\"vertical-align: -10px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418 \u0434\u0435\u043b\u0430\u0435\u043c \u0440\u0430\u0441\u0447\u0435\u0442\u044b: <\/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-81d70676cabdc2985f2ebe7b88c54e2d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} d(A,B) &amp; = \\sqrt{(-3)^2+3^2 } \\\\[2ex] &amp; = \\sqrt{9+9 } \\\\[2ex] &amp; = \\bm{\\sqrt{18}} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"183\" style=\"vertical-align: 0px;\"><\/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> \u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c\u0438 \u0434\u0432\u0443\u043c\u044f \u0442\u043e\u0447\u043a\u0430\u043c\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-9b2fed9d7325f254ded1553b488d7a0b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A(8,6) \\qquad \\qquad B(-4,1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"190\" 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 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u0442\u043e\u0447\u043a\u0430\u043c\u0438, \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0449\u0443\u044e \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-db8fa011bbd9bef1ae4c02642919ea13_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(A,B) = \\sqrt{(x_2-x_1)^2+(y_2-y_1)^2 \\vphantom{\\frac{1}{2}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"277\" style=\"vertical-align: -10px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0435\u043f\u0435\u0440\u044c \u043f\u043e\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u043c \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0442\u043e\u0447\u0435\u043a \u0432 \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-5d1814bdae0e934c17e4d699ba2223c3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(A,B) = \\sqrt{(-4-8)^2+(1-6)^2 \\vphantom{\\frac{1}{2}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"258\" style=\"vertical-align: -10px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418 \u0434\u0435\u043b\u0430\u0435\u043c \u0440\u0430\u0441\u0447\u0435\u0442\u044b: <\/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-1c9f9f5c93377868a352891d5b09630a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} d(A,B)  &amp;= \\sqrt{(-12)^2+(-5)^2 } \\\\[2ex] &amp;= \\sqrt{144+25 }\\\\[2ex] &amp;= \\sqrt{169} \\\\[2ex] &amp;= \\bm{13}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"149\" width=\"219\" style=\"vertical-align: 0px;\"><\/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> \u0412\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u0435 \u043f\u0435\u0440\u0438\u043c\u0435\u0442\u0440 \u0442\u0440\u0435\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a\u0430, \u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u043d\u043e\u0433\u043e \u0442\u043e\u0447\u043a\u0430\u043c\u0438 A, B \u0438 C, \u043f\u043e\u043a\u0430\u0437\u0430\u043d\u043d\u044b\u043c\u0438 \u043d\u0430 \u0433\u0440\u0430\u0444\u0438\u043a\u0435 \u043d\u0438\u0436\u0435: <\/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-resolu-de-distance-entre-deux-points.webp\" alt=\"\u0440\u0435\u0448\u0435\u043d\u043e \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 \u043d\u0430 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u0442\u043e\u0447\u043a\u0430\u043c\u0438\" class=\"wp-image-3913\" width=\"338\" height=\"267\" 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\"> \u0412\u043e-\u043f\u0435\u0440\u0432\u044b\u0445, \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b X \u0438 Y \u043a\u0430\u0436\u0434\u043e\u0439 \u0442\u043e\u0447\u043a\u0438 \u043d\u0430 \u0433\u0440\u0430\u0444\u0438\u043a\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-9a16d799fdc0fa3c371c35ba5f0f3a3c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A(2,1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"52\" style=\"vertical-align: -5px;\"><\/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-df310f6e38e3e91250838800e5366e54_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"B(4,4)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"53\" style=\"vertical-align: -5px;\"><\/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-68d3d057862c60995dc725a90e942df4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"C(6,2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"53\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418 \u0442\u0435\u043f\u0435\u0440\u044c \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0432\u0441\u0435\u043c\u0438 \u0442\u043e\u0447\u043a\u0430\u043c\u0438 \u043f\u043e \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-1854b638ed0238a7b80632324e67ae0f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(A,B) = \\sqrt{(4-2)^2+(4-1)^2 } = \\sqrt{4+9} =\\sqrt{13} = 3,61\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"435\" style=\"vertical-align: -6px;\"><\/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-741fa87cdc51782a0770cd384048b8fb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(A,C) = \\sqrt{(6-2)^2+(2-1)^2 } = \\sqrt{16+1} =\\sqrt{17} = 4,12\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"443\" style=\"vertical-align: -6px;\"><\/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-79954ecf2f51f8c6e230b15c56dfd2f6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(B,C) = \\sqrt{(6-4)^2+(2-4)^2 } = \\sqrt{4+4} =\\sqrt{8} = 2,83\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"427\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0417\u043d\u0430\u0447\u0438\u0442 \u043f\u0435\u0440\u0438\u043c\u0435\u0442\u0440 \u0442\u0440\u0435\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a\u0430 \u0431\u0443\u0434\u0435\u0442 \u0440\u0430\u0432\u0435\u043d \u0441\u0443\u043c\u043c\u0435 \u0434\u043b\u0438\u043d \u0442\u0440\u0451\u0445 \u0441\u0442\u043e\u0440\u043e\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-9cdb85214a73df4e8a7e7ee238c1bc55_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P=3,61+4,12+2,83= \\bm{10,56}\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"251\" style=\"vertical-align: -4px;\"><\/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> \u041f\u0440\u043e\u0432\u0435\u0440\u044c\u0442\u0435, \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043b\u0438 \u0442\u0440\u0435\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a, \u0432\u0435\u0440\u0448\u0438\u043d\u0430\u043c\u0438 \u043a\u043e\u0442\u043e\u0440\u043e\u0433\u043e \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u0442\u043e\u0447\u043a\u0438 A, B \u0438 C, \u0440\u0430\u0432\u043d\u043e\u0431\u0435\u0434\u0440\u0435\u043d\u043d\u044b\u043c. \u041d\u043e \u0442\u0440\u0438 \u043f\u0443\u043d\u043a\u0442\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-df719532b223037ad6a672c50a294c3d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A(-4,5) \\qquad B(7,-5) \\qquad C(10,0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"266\" 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 \u0442\u0440\u0435\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a \u0431\u044b\u043b \u0440\u0430\u0432\u043d\u043e\u0431\u0435\u0434\u0440\u0435\u043d\u043d\u044b\u043c, \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e, \u0447\u0442\u043e\u0431\u044b \u0434\u0432\u0435 \u0435\u0433\u043e \u0441\u0442\u043e\u0440\u043e\u043d\u044b \u0431\u044b\u043b\u0438 \u0440\u0430\u0432\u043d\u044b. \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u043d\u0430\u0439\u0442\u0438 \u0434\u043b\u0438\u043d\u0443 \u043a\u0430\u0436\u0434\u043e\u0439 \u0438\u0437 \u0435\u0433\u043e \u0441\u0442\u043e\u0440\u043e\u043d, \u043a\u043e\u0442\u043e\u0440\u0430\u044f \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u044e \u043c\u0435\u0436\u0434\u0443 \u0435\u0433\u043e \u0432\u0435\u0440\u0448\u0438\u043d\u0430\u043c\u0438.<\/p>\n<p class=\"has-text-align-left\"> \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0435\u043c \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0432\u0435\u0440\u0448\u0438\u043d\u0430\u043c\u0438 \u0442\u0440\u0435\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a\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-786e56f8fe183e8143b1fb4f7f616226_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(A,B) = \\sqrt{(7-(-4))^2+(-5-5)^2 } = \\sqrt{11^2+(-10)^2} = \\sqrt{221}\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"492\" style=\"vertical-align: -6px;\"><\/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-61cea14c48c09e4b4ae79b45d78cb746_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(A,C) = \\sqrt{(10-(-4))^2+(0-5)^2 } = \\sqrt{14^2+(-5)^2}  = \\sqrt{221}\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"477\" style=\"vertical-align: -6px;\"><\/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-008513f83c089a4f9d4bc62b48a02aae_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(B,C) = \\sqrt{(10-7)^2+(0-(-5))^2} = \\sqrt{3^2+5^2} = \\sqrt{34}\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"430\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0443 \u0442\u0440\u0435\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a\u0430 \u0434\u0432\u0435 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u044b\u0435 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u0430 \u0440\u0430\u0437\u043c\u0435\u0440\u044b \u0442\u0440\u0435\u0442\u044c\u0435\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b \u043e\u0442\u043b\u0438\u0447\u0430\u044e\u0442\u0441\u044f \u043e\u0442 \u0434\u0432\u0443\u0445 \u0434\u0440\u0443\u0433\u0438\u0445, \u0442\u043e \u044d\u0442\u043e \u0444\u0430\u043a\u0442\u0438\u0447\u0435\u0441\u043a\u0438 \u0440\u0430\u0432\u043d\u043e\u0431\u0435\u0434\u0440\u0435\u043d\u043d\u044b\u0439 \u0442\u0440\u0435\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a.<\/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 5<\/h3>\n<p> \u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u0442\u043e\u0447\u043a\u0443 \u043d\u0430 \u043e\u0441\u0438 Y, \u043a\u043e\u0442\u043e\u0440\u0430\u044f \u043d\u0430\u0445\u043e\u0434\u0438\u0442\u0441\u044f \u043d\u0430 \u0440\u0430\u0432\u043d\u043e\u043c \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0438 \u043e\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0445 \u0434\u0432\u0443\u0445 \u0442\u043e\u0447\u0435\u043a: <\/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-94ff2ed3e9145831e9919ad74a4d4c4c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A(5,-3) \\qquad \\qquad B(-2,4)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"204\" 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\"> \u041f\u0440\u0435\u0436\u0434\u0435 \u0432\u0441\u0435\u0433\u043e, \u0435\u0441\u043b\u0438 \u0442\u043e\u0447\u043a\u0430 \u0440\u0430\u0441\u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0430 \u043d\u0430 \u043e\u0441\u0438 \u043a\u043e\u043c\u043f\u044c\u044e\u0442\u0435\u0440\u0430 (\u043e\u0441\u044c OY), \u044d\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442, \u0447\u0442\u043e \u0430\u0431\u0441\u0446\u0438\u0441\u0441\u0430 \u0442\u043e\u0447\u043a\u0438 \u0440\u0430\u0432\u043d\u0430 \u043d\u0443\u043b\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-5cde05cd2f5f74f5290621fdbe275415_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(0,y)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"53\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0412\u043e-\u0432\u0442\u043e\u0440\u044b\u0445, \u0435\u0441\u043b\u0438 \u0442\u043e\u0447\u043a\u0430 \u0440\u0430\u0432\u043d\u043e\u0443\u0434\u0430\u043b\u0435\u043d\u0430 \u043e\u0442 \u0442\u043e\u0447\u0435\u043a A \u0438 B, \u044d\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442, \u0447\u0442\u043e \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u0435\u0442\u0441\u044f \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\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-26224760f49fac42cea9d39dfe53dd4a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,A)= d(P,B)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"136\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418\u0442\u0430\u043a, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u044f \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u0442\u043e\u0447\u043a\u0430\u043c\u0438, \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u043d\u0430\u0439\u0442\u0438 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439 <em>y<\/em> \u0438\u0437 \u043f\u0440\u0435\u0434\u044b\u0434\u0443\u0449\u0435\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f:<\/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-8a5f1368ddd79fe90319f21cc904d392_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sqrt{(5-0)^2+(-3-y)^2 \\vphantom{\\frac{1}{2}}}=\\sqrt{(-2-0)^2+(4-y)^2 \\vphantom{\\frac{1}{2}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"374\" style=\"vertical-align: -10px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043e\u0431\u0435 \u0447\u0430\u0441\u0442\u0438 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0438\u043c\u0435\u044e\u0442 \u043a\u043e\u0440\u0435\u043d\u044c, \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0438\u0445 \u0443\u043f\u0440\u043e\u0441\u0442\u0438\u0442\u044c:<\/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-26c1085f06beb112f73bac79ec7a7a2d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"5^2+(-3-y)^2=(-2)^2+(4-y)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"264\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0420\u0435\u0448\u0430\u0435\u043c \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0435 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u0438 \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u0430 (\u0438\u043b\u0438 \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044f):<\/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-59f4cfbad3f47e15ec8dd45d8eff5b0e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"25+9+y^2+6y=4+16+y^2-8y\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"277\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418 \u0434\u0435\u0439\u0441\u0442\u0432\u0443\u0435\u043c \u0434\u043e \u0442\u0435\u0445 \u043f\u043e\u0440, \u043f\u043e\u043a\u0430 \u043d\u0435 \u043d\u0430\u0439\u0434\u0451\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u043e\u0433\u043e <em>y<\/em> : <\/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-1e112c8e3a8ff239195ad850bd0e3f55_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y^2+6y-y^2+8y=4+16-25-9\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"277\" style=\"vertical-align: -4px;\"><\/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-dc1582050e8015be81566a4ba06585ea_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"14y=-14\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"82\" style=\"vertical-align: -4px;\"><\/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-67e3c61051e1e6f4d5ae83c0a7f8f51a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=\\cfrac{-14}{14}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"75\" style=\"vertical-align: -12px;\"><\/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-9f371b4e77462e28d9f6119571c92982_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=-1\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"55\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041a\u043e\u0440\u043e\u0447\u0435 \u0433\u043e\u0432\u043e\u0440\u044f, \u0441\u0443\u0442\u044c \u043f\u043e\u0441\u0442\u0430\u043d\u043e\u0432\u043a\u0438 \u0437\u0430\u0434\u0430\u0447\u0438 \u0437\u0430\u043a\u043b\u044e\u0447\u0430\u0435\u0442\u0441\u044f \u0432 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\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-5d1dd065d80d8fce8e53869201ad7b2b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{P(0,-1)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"66\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<p> \u0415\u0441\u043b\u0438 \u044d\u0442\u0430 \u0441\u0442\u0430\u0442\u044c\u044f \u043e\u043a\u0430\u0437\u0430\u043b\u0430\u0441\u044c \u0434\u043b\u044f \u0432\u0430\u0441 \u043f\u043e\u043b\u0435\u0437\u043d\u043e\u0439, \u0432\u043e\u0437\u043c\u043e\u0436\u043d\u043e, \u0432\u0430\u0441 \u0442\u0430\u043a\u0436\u0435 \u0437\u0430\u0438\u043d\u0442\u0435\u0440\u0435\u0441\u0443\u044e\u0442  \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u043d\u0430 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0442\u043e\u0447\u043a\u043e\u0439 \u0438 \u043f\u0440\u044f\u043c\u043e\u0439  . \u041d\u0430 \u0441\u0432\u044f\u0437\u0430\u043d\u043d\u043e\u0439 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435 \u0432\u044b \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u043d\u0435 \u0442\u043e\u043b\u044c\u043a\u043e \u043f\u043e\u0448\u0430\u0433\u043e\u0432\u043e \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f, \u043d\u043e \u0438 \u043f\u043e\u0434\u0440\u043e\u0431\u043d\u043e\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u0438\u0435 \u0440\u0430\u0441\u0447\u0435\u0442\u0430 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u044f \u043c\u0435\u0436\u0434\u0443 \u0442\u043e\u0447\u043a\u0430\u043c\u0438 \u0438 \u043b\u0438\u043d\u0438\u044f\u043c\u0438, \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0438 \u043f\u0440\u0438\u043c\u0435\u043d\u0435\u043d\u0438\u0435 \u0444\u043e\u0440\u043c\u0443\u043b\u044b \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u044f \u043c\u0435\u0436\u0434\u0443 \u0442\u043e\u0447\u043a\u043e\u0439 \u0438 \u043b\u0438\u043d\u0438\u0435\u0439 \u0434\u043b\u044f \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0434\u0440\u0443\u0433\u043e\u0433\u043e \u0432\u0438\u0434\u0430 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u044f. .<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u041d\u0430 \u044d\u0442\u043e\u0439 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435 \u0432\u044b \u0443\u0437\u043d\u0430\u0435\u0442\u0435, \u043a\u0430\u043a \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0442\u044c \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u0442\u043e\u0447\u043a\u0430\u043c\u0438 \u0432 \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0438 (\u0444\u043e\u0440\u043c\u0443\u043b\u0430). \u0412\u044b \u0442\u0430\u043a\u0436\u0435 \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0438 \u0434\u043e\u043f\u043e\u043b\u043d\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u043f\u043e\u0442\u0440\u0435\u043d\u0438\u0440\u043e\u0432\u0430\u0442\u044c\u0441\u044f \u043d\u0430 \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u0445 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f\u0445 \u043d\u0430 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u0442\u043e\u0447\u043a\u0430\u043c\u0438. \u041f\u043e \u043a\u0430\u043a\u043e\u0439 \u0444\u043e\u0440\u043c\u0443\u043b\u0435 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u044f\u0435\u0442\u0441\u044f \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u0442\u043e\u0447\u043a\u0430\u043c\u0438? \u0420\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u0442\u043e\u0447\u043a\u0430\u043c\u0438 \u0440\u0430\u0432\u043d\u043e \u0434\u043b\u0438\u043d\u0435 \u0441\u043e\u0435\u0434\u0438\u043d\u044f\u044e\u0449\u0435\u0433\u043e \u0438\u0445 \u043e\u0442\u0440\u0435\u0437\u043a\u0430. \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u0432 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0435, \u0447\u0442\u043e\u0431\u044b \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ru\/%d1%84%d0%be%d1%80%d0%bc%d1%83%d0%bb%d0%b0-%d1%80%d0%b0%d1%81%d1%81%d1%82%d0%be%d1%8f%d0%bd%d0%b8%d1%8f-%d0%bc%d0%b5%d0%b6%d0%b4%d1%83-%d0%b4%d0%b2%d1%83%d0%bc%d1%8f-%d1%82%d0%be%d1%87%d0%ba%d0%b0\/\"> <span class=\"screen-reader-text\">\u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u044f \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u0442\u043e\u0447\u043a\u0430\u043c\u0438 (\u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u044f)<\/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-272","post","type-post","status-publish","format-standard","hentry","category-15"],"yoast_head":"<!-- This site is optimized 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\u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u044f \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u0442\u043e\u0447\u043a\u0430\u043c\u0438 (\u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u044f) \u0427\u0438\u0442\u0430\u0442\u044c \u0434\u0430\u043b\u0435\u0435 &raquo;","og_url":"https:\/\/mathority.org\/ru\/\u0444\u043e\u0440\u043c\u0443\u043b\u0430-\u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u044f-\u043c\u0435\u0436\u0434\u0443-\u0434\u0432\u0443\u043c\u044f-\u0442\u043e\u0447\u043a\u0430\/","article_published_time":"2023-07-10T01:42:26+00:00","og_image":[{"url":"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-617b8c4c3becdf6f6f5ee619a5c8e9d7_l3.png"}],"author":"Mathority \u041a\u043e\u043c\u0430\u043d\u0434\u0430","twitter_card":"summary_large_image","twitter_misc":{"\u041d\u0430\u043f\u0438\u0441\u0430\u043d\u043e \u0430\u0432\u0442\u043e\u0440\u043e\u043c":"Mathority 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