{"id":259,"date":"2023-07-10T08:10:10","date_gmt":"2023-07-10T08:10:10","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-%d0%bf%d0%bb%d0%be%d1%81%d0%ba\/"},"modified":"2023-07-10T08:10:10","modified_gmt":"2023-07-10T08:10:10","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-%d0%bf%d0%bb%d0%be%d1%81%d0%ba","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-%d0%bf%d0%bb%d0%be%d1%81%d0%ba\/","title":{"rendered":"\u0420\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044f\u043c\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 \u0443\u0437\u043d\u0430\u0435\u0442\u0435, \u043a\u0430\u043a \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 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044f\u043c\u0438. \u0412 \u0447\u0430\u0441\u0442\u043d\u043e\u0441\u0442\u0438, \u0432\u044b \u0443\u0432\u0438\u0434\u0438\u0442\u0435 \u0434\u0432\u0430 \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u044e\u0449\u0438\u0445 \u043c\u0435\u0442\u043e\u0434\u0430 \u0438 \u043a\u043e\u0433\u0434\u0430 \u043b\u0443\u0447\u0448\u0435 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0442\u043e\u0442 \u0438\u043b\u0438 \u0438\u043d\u043e\u0439. \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0443 \u0432\u0430\u0441 \u0435\u0441\u0442\u044c \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0438 \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \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 \u0434\u0432\u0443\u043c\u044f \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044f\u043c\u0438, \u0447\u0442\u043e\u0431\u044b \u0432\u044b \u043c\u043e\u0433\u043b\u0438 \u0445\u043e\u0440\u043e\u0448\u043e \u044d\u0442\u043e \u043f\u043e\u043d\u044f\u0442\u044c. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfcomo-se-calcula-la-distancia-entre-dos-planos\"><\/span> \u041a\u0430\u043a \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u044b\u0432\u0430\u0435\u0442\u0441\u044f \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044f\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 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044f\u043c\u0438 \u0432 \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0435 \u0437\u0430\u0432\u0438\u0441\u0438\u0442 \u043e\u0442 \u0432\u0437\u0430\u0438\u043c\u043d\u043e\u0433\u043e \u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u044d\u0442\u0438\u0445 \u0434\u0432\u0443\u0445 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0435\u0439:<\/p>\n<ul>\n<li> \u0415\u0441\u043b\u0438 \u0434\u0432\u0435 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438 <strong>\u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0442\u0441\u044f<\/strong> \u0438\u043b\u0438 <strong>\u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0442<\/strong> , \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u043d\u0438\u043c\u0438 \u0440\u0430\u0432\u043d\u043e \u043d\u0443\u043b\u044e, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043e\u043d\u0438 \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0442\u0441\u044f \u0432 \u043e\u0434\u043d\u043e\u0439 \u0442\u043e\u0447\u043a\u0435.<\/li>\n<li> \u0415\u0441\u043b\u0438 \u0434\u0432\u0435 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438 <strong>\u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b<\/strong> , \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044f\u043c\u0438 \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u044b\u0432\u0430\u0435\u0442\u0441\u044f \u043f\u0443\u0442\u0435\u043c \u0432\u0437\u044f\u0442\u0438\u044f \u0442\u043e\u0447\u043a\u0438 \u043d\u0430 \u043b\u044e\u0431\u043e\u0439 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438 \u0438 \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u044f \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u044f \u043c\u0435\u0436\u0434\u0443 \u044d\u0442\u043e\u0439 \u0442\u043e\u0447\u043a\u043e\u0439 \u0438 \u0434\u0440\u0443\u0433\u043e\u0439 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044c\u044e.<\/li>\n<\/ul>\n<p> \u041f\u043e\u043c\u043d\u0438\u0442\u0435, \u0447\u0442\u043e \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b\u0435 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438 \u2014 \u044d\u0442\u043e \u0440\u0430\u0437\u043d\u043e\u0432\u0438\u0434\u043d\u043e\u0441\u0442\u044c \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0449\u0438\u0445\u0441\u044f \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0435\u0439, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b\u043c\u0438 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044f\u043c\u0438 \u0442\u0430\u043a\u0436\u0435 \u0440\u0430\u0432\u043d\u043e \u043d\u0443\u043b\u044e.<\/p>\n<p> \u0418\u0442\u0430\u043a, \u0447\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044f\u043c\u0438, \u0432\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c, \u043a\u0430\u043a\u043e\u0432\u043e \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 \u043d\u0438\u043c\u0438, \u0438, \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0432\u0430\u0436\u043d\u043e \u0437\u043d\u0430\u0442\u044c  , \u043a\u0430\u043a \u043d\u0430\u0439\u0442\u0438 \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u0434\u0432\u0443\u0445 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0435\u0439  . \u0415\u0441\u043b\u0438 \u0432\u0430\u043c \u043d\u0435 \u0441\u043e\u0432\u0441\u0435\u043c \u043f\u043e\u043d\u044f\u0442\u043d\u043e, \u043a\u0430\u043a \u044d\u0442\u043e \u0441\u0434\u0435\u043b\u0430\u0442\u044c, \u0440\u0435\u043a\u043e\u043c\u0435\u043d\u0434\u0443\u0435\u043c \u043f\u0440\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0441\u0441\u044b\u043b\u043a\u0443, \u0433\u0434\u0435 \u0432\u044b \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u043e\u0447\u0435\u043d\u044c \u043f\u043e\u0434\u0440\u043e\u0431\u043d\u043e\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u0438\u0435, \u0430 \u0442\u0430\u043a\u0436\u0435 \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0438 \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-calcular-la-distancia-entre-dos-planos-paralelos\"><\/span> \u041a\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 \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b\u043c\u0438 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044f\u043c\u0438<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0414\u0432\u0435 \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b\u0435 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438 \u0432\u0441\u0435\u0433\u0434\u0430 \u043d\u0430\u0445\u043e\u0434\u044f\u0442\u0441\u044f \u043d\u0430 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u043e\u043c \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0438 \u0434\u0440\u0443\u0433 \u043e\u0442 <strong>\u0434\u0440\u0443\u0433\u0430. \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0447\u0442\u043e\u0431\u044b \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 \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b\u043c\u0438 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044f\u043c\u0438, \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0432\u0437\u044f\u0442\u044c \u0442\u043e\u0447\u043a\u0443 \u043d\u0430 \u043e\u0434\u043d\u043e\u0439 \u0438\u0437 \u0434\u0432\u0443\u0445 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0435\u0439 \u0438 \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043e\u0442 \u044d\u0442\u043e\u0439 \u0442\u043e\u0447\u043a\u0438 \u0434\u043e \u0434\u0440\u0443\u0433\u043e\u0439 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438.<\/strong> <\/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\/distance-entre-deux-plans-paralleles.webp\" alt=\"\u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b\u043c\u0438 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044f\u043c\u0438\" class=\"wp-image-2647\" width=\"401\" height=\"234\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u0418\u0442\u0430\u043a, \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \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 \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b\u043c\u0438 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044f\u043c\u0438: <\/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 \u0434\u0432\u0435 \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b\u0435 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438, \u0435\u0441\u043b\u0438 \u0437\u0430\u0434\u0430\u043d\u0430 \u0442\u043e\u0447\u043a\u0430 \u043d\u0430 \u043e\u0434\u043d\u043e\u0439 \u0438\u0437 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0435\u0439 \u0438 \u043e\u0431\u0449\u0435\u0435 (\u0438\u043b\u0438 \u043d\u0435\u044f\u0432\u043d\u043e\u0435) \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0434\u0440\u0443\u0433\u043e\u0439 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\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-224b2b4bb57594d3fa92e148ada43cbf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x_0,y_0,z_0) \\qquad \\qquad \\pi: \\ Ax+By+Cz+D=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"379\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\"text-align:left\"> <strong>\u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u0434\u043b\u044f \u043d\u0430\u0445\u043e\u0436\u0434\u0435\u043d\u0438\u044f \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u044f \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b\u043c\u0438 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044f\u043c\u0438,<\/strong> \u043f\u0440\u043e\u0445\u043e\u0434\u044f\u0449\u0438\u043c\u0438 \u0447\u0435\u0440\u0435\u0437 \u0442\u043e\u0447\u043a\u0443 \u043e\u0434\u043d\u043e\u0439 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438, \u0438 \u043e\u0431\u0449\u0435\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0434\u0440\u0443\u0433\u043e\u0439 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\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-7fa5cd77905fa8723448de603b90b705_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,\\pi) = \\cfrac{\\lvert A\\cdot x_0+B\\cdot y_0+C\\cdot z_0+D\\rvert}{\\sqrt{A^2+B^2+C^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"300\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<\/div>\n<p> \u042d\u0442\u043e \u0444\u043e\u0440\u043c\u0443\u043b\u0430, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c\u0430\u044f \u0434\u043b\u044f \u043d\u0430\u0445\u043e\u0436\u0434\u0435\u043d\u0438\u044f \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u044f \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b\u043c\u0438 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044f\u043c\u0438. \u041e\u0434\u043d\u0430\u043a\u043e \u0438\u043d\u043e\u0433\u0434\u0430 \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0434\u0440\u0443\u0433\u043e\u0439, \u0435\u0449\u0435 \u0431\u043e\u043b\u0435\u0435 \u043f\u0440\u043e\u0441\u0442\u043e\u0439 \u043c\u0435\u0442\u043e\u0434:<\/p>\n<p> \u041a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u044b \u0410, \u0412 \u0438 \u0421 \u043d\u0435\u044f\u0432\u043d\u044b\u0445 (\u0438\u043b\u0438 \u043e\u0431\u0449\u0438\u0445) \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0434\u0432\u0443\u0445 \u043f\u043b\u0430\u043d\u043e\u0432 \u0434\u043e\u043b\u0436\u043d\u044b \u0431\u044b\u0442\u044c \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0438\u043e\u043d\u0430\u043b\u044c\u043d\u044b. \u0427\u0442\u043e \u0436, \u0435\u0441\u043b\u0438 \u0432 \u0437\u0430\u0434\u0430\u0447\u0435 \u043c\u044b \u043d\u0430\u0445\u043e\u0434\u0438\u043c \u0434\u0432\u0435 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438, \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u044b \u043a\u043e\u0442\u043e\u0440\u044b\u0445 A, B \u0438 C \u0441\u043e\u0432\u0435\u0440\u0448\u0435\u043d\u043d\u043e \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u044b, \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0434\u0440\u0443\u0433\u0443\u044e \u0444\u043e\u0440\u043c\u0443\u043b\u0443, \u043d\u0435 \u0437\u043d\u0430\u044f \u043d\u0438 \u043e\u0434\u043d\u043e\u0439 \u0442\u043e\u0447\u043a\u0438 \u043a\u0430\u043a\u043e\u0439-\u043b\u0438\u0431\u043e \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438: <\/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 \u043e\u0431\u0449\u0438\u0435 (\u0438\u043b\u0438 \u043d\u0435\u044f\u0432\u043d\u044b\u0435) \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0434\u0432\u0443\u0445 \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b\u0445 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0435\u0439 \u0441 <strong>\u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u044b\u043c\u0438 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u0430\u043c\u0438 A, B \u0438 C<\/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-a277aae741d0cfe8200b7c338f57343f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\pi_1 : \\ Ax+By+Cz+D_1=0 \\qquad \\qquad  \\pi_2 : \\ Ax+By+Cz+D_2=0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"528\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p style=\"text-align:left\"> <strong>\u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u0434\u043b\u044f \u043d\u0430\u0445\u043e\u0436\u0434\u0435\u043d\u0438\u044f \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u044f \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b\u043c\u0438 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044f\u043c\u0438<\/strong> \u0438\u0437 \u043e\u0431\u0449\u0438\u0445 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0434\u0432\u0443\u0445 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0435\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-3f78d3a0f1fd3a6c00acfd51c160dc8c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,\\pi) = \\cfrac{\\lvert D_2-D_1\\rvert}{\\sqrt{A^2+B^2+C^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"202\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<\/div>\n<p> \u0412 \u043a\u043e\u043d\u0435\u0447\u043d\u043e\u043c \u0441\u0447\u0435\u0442\u0435, \u0435\u0441\u0442\u044c \u0434\u0432\u0430 \u0441\u043f\u043e\u0441\u043e\u0431\u0430 \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 \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b\u043c\u0438 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044f\u043c\u0438. \u041f\u0435\u0440\u0432\u044b\u0439 \u0431\u043e\u043b\u0435\u0435 \u043f\u043e\u043b\u0435\u0437\u0435\u043d, \u043a\u043e\u0433\u0434\u0430 \u043c\u044b \u0437\u043d\u0430\u0435\u043c \u0442\u043e\u0447\u043a\u0443 \u043d\u0430 \u043e\u0434\u043d\u043e\u0439 \u0438\u0437 \u0434\u0432\u0443\u0445 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0435\u0439. \u041e\u0434\u043d\u0430\u043a\u043e, \u0435\u0441\u043b\u0438 \u043c\u044b \u0437\u043d\u0430\u0435\u043c \u043e\u0431\u0449\u0435\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0434\u0432\u0443\u0445 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0435\u0439, \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043b\u0443\u0447\u0448\u0435 \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u044b\u0432\u0430\u0442\u044c \u043f\u043e \u0432\u0442\u043e\u0440\u043e\u0439 \u0444\u043e\u0440\u043c\u0443\u043b\u0435. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-como-hallar-la-distancia-entre-dos-planos-paralelos\"><\/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 \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b\u043c\u0438 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044f\u043c\u0438<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0412 \u043a\u0430\u0447\u0435\u0441\u0442\u0432\u0435 \u043f\u0440\u0438\u043c\u0435\u0440\u0430 \u043c\u044b \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0435\u043c \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 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044f\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-a9cd1abd1a84a5a230fb855c75c59e11_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\pi_1 : \\ 4x-2y-4z+7=0 \\qquad \\qquad  \\pi_2 : \\ 8x-4y-8z+2=0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"471\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> \u0421\u043d\u0430\u0447\u0430\u043b\u0430 \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0443\u0431\u0435\u0434\u0438\u0442\u044c\u0441\u044f, \u0447\u0442\u043e \u043c\u044b \u0438\u043c\u0435\u0435\u043c \u0434\u0435\u043b\u043e \u0441 \u0434\u0432\u0443\u043c\u044f \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b\u043c\u0438 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044f\u043c\u0438. \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0432\u0441\u0435 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u044b \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0438\u043e\u043d\u0430\u043b\u044c\u043d\u044b, \u0437\u0430 \u0438\u0441\u043a\u043b\u044e\u0447\u0435\u043d\u0438\u0435\u043c \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0445 \u0447\u043b\u0435\u043d\u043e\u0432, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0444\u0430\u043a\u0442\u0438\u0447\u0435\u0441\u043a\u0438 \u043e\u043d\u0438 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u044e\u0442 \u0441\u043e\u0431\u043e\u0439 \u0434\u0432\u0435 \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b\u0435 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\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-e13f3d3e18910312a6604d299010da6f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{4}{8}=\\cfrac{-2}{-4}=\\cfrac{-4}{-8}\\neq \\cfrac{7}{2} \\quad \\longrightarrow \\quad \\pi_1 \\parallel \\pi_2\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"283\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \u0412 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u0447\u043b\u0435\u043d\u044b \u0410, \u0412 \u0438 \u0421 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0434\u0432\u0443\u0445 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0435\u0439 \u043d\u0435 \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0442, \u043d\u043e \u0434\u043e\u0431\u0438\u0442\u044c\u0441\u044f \u044d\u0442\u043e\u0433\u043e \u043c\u043e\u0436\u043d\u043e, \u0440\u0430\u0437\u0434\u0435\u043b\u0438\u0432 \u0432\u0441\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0432\u0442\u043e\u0440\u043e\u0439 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438 \u043d\u0430 \u0434\u0432\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-d159a803fe606b074b2fbafbf792829d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\pi_2 : \\ \\cfrac{8x-4y-8z+2}{2}=\\cfrac{0}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"204\" 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-0098cb52d72e1305e5cc6daee535dee1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\pi_2 : \\ 4x-2y-4z+1=0\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"200\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0434\u0432\u0443\u0445 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0435\u0439 \u0442\u0435\u043f\u0435\u0440\u044c \u0443\u0436\u0435 \u0438\u043c\u0435\u044e\u0442 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u044b\u0435 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u044b A, B \u0438 C. \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u043b\u0435\u0433\u043a\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 \u0434\u0432\u0443\u043c\u044f \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044f\u043c\u0438 \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0439 \u0444\u043e\u0440\u043c\u0443\u043b\u044b \u0434\u043b\u044f \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u044f \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b\u043c\u0438 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044f\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-3f78d3a0f1fd3a6c00acfd51c160dc8c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,\\pi) = \\cfrac{\\lvert D_2-D_1\\rvert}{\\sqrt{A^2+B^2+C^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"202\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p> \u041f\u043e\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u0438 \u0440\u0435\u0448\u0430\u0435\u043c \u043e\u043f\u0435\u0440\u0430\u0446\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-ebaa9342424e4e1c6df12cac1f2658fc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,\\pi) = \\cfrac{\\lvert 1-7\\rvert}{\\sqrt{4^2+(-2)^2+(-4)^2}}= \\cfrac{\\lvert -6\\rvert}{\\sqrt{36}} = \\cfrac{6}{6} = \\bm{1}\" title=\"Rendered by QuickLaTeX.com\" height=\"48\" width=\"369\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<p> \u0422\u0430\u043a \u0447\u0442\u043e \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443  \u043e\u0434\u043d\u043e\u0439 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044c\u044e  \u0438 \u0434\u0440\u0443\u0433\u043e\u0439 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044c\u044e \u0440\u0430\u0432\u043d\u043e \u0435\u0434\u0438\u043d\u0438\u0446\u0435. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-distancia-entre-dos-planos\"><\/span> \u0420\u0435\u0448\u0435\u043d\u0438\u0435 \u043f\u0440\u043e\u0431\u043b\u0435\u043c \u0441 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435\u043c \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044f\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> \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 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044f\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-b51c64f5f5d25771ee1eb45d8e37e2f3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\pi_1 : \\ 2x-y+5z-3=0 \\qquad \\qquad  \\pi_2 : \\ 2x-y+5z-7=0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"453\" style=\"vertical-align: -4px;\"><\/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\"> \u0421\u043d\u0430\u0447\u0430\u043b\u0430 \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0443\u0431\u0435\u0434\u0438\u0442\u044c\u0441\u044f, \u0447\u0442\u043e \u043c\u044b \u0438\u043c\u0435\u0435\u043c \u0434\u0435\u043b\u043e \u0441 \u0434\u0432\u0443\u043c\u044f \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b\u043c\u0438 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044f\u043c\u0438. \u0412\u0441\u0435 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u044b \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0434\u0432\u0443\u0445 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0435\u0439 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0438\u043e\u043d\u0430\u043b\u044c\u043d\u044b, \u0437\u0430 \u0438\u0441\u043a\u043b\u044e\u0447\u0435\u043d\u0438\u0435\u043c \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0445 \u0447\u043b\u0435\u043d\u043e\u0432, \u0442\u0430\u043a \u0447\u0442\u043e \u044d\u0442\u043e \u0434\u0435\u0439\u0441\u0442\u0432\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u0434\u0432\u0435 \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b\u0435 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\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-4c520445614ecabfaf8a1bda841afa65_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{2}{2}=\\cfrac{-1}{-1}=\\cfrac{5}{5} \\neq \\cfrac{-3}{-7} \\quad \\longrightarrow \\quad \\pi_1 \\parallel \\pi_2\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"283\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0412 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044f\u043c\u0438 \u0431\u0443\u0434\u0435\u043c \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0442\u044c \u043f\u043e \u043f\u0440\u044f\u043c\u043e\u0439 \u0444\u043e\u0440\u043c\u0443\u043b\u0435, \u0442\u0430\u043a \u043a\u0430\u043a \u0438\u0445 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u044b \u0410, \u0412 \u0438 \u0421 \u0440\u0430\u0432\u043d\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-3f78d3a0f1fd3a6c00acfd51c160dc8c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,\\pi) = \\cfrac{\\lvert D_2-D_1\\rvert}{\\sqrt{A^2+B^2+C^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"202\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418\u0442\u0430\u043a, \u043f\u043e\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u0432 \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u0438 \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u0435\u043c \u043e\u043f\u0435\u0440\u0430\u0446\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-c107ce392f40f085eadf58283ea31fc0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,\\pi) = \\cfrac{\\lvert -7-3\\rvert}{\\sqrt{2^2+(-1)^2+5^2}}= \\cfrac{\\lvert -10\\rvert}{\\sqrt{30}} = \\cfrac{\\bm{10}}{\\bm{\\sqrt{30}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"48\" width=\"343\" style=\"vertical-align: -20px;\"><\/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 \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 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044f\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-b2bbc524fea8b844e21f44241034b21c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\pi_1 : \\ 3x-2y+6z+4=0 \\qquad \\qquad  \\pi_2 : \\ 6x-4y+3z+1=0\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"471\" style=\"vertical-align: -4px;\"><\/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, \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0443\u0431\u0435\u0434\u0438\u0442\u044c\u0441\u044f, \u0447\u0442\u043e \u044d\u0442\u043e \u0434\u0432\u0435 \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b\u0435 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438, \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, \u043a\u043e\u0442\u043e\u0440\u043e\u0435 \u0438\u0445 \u0440\u0430\u0437\u0434\u0435\u043b\u044f\u0435\u0442. \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u043f\u0440\u043e\u0432\u0435\u0440\u0438\u043c \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0438\u043e\u043d\u0430\u043b\u044c\u043d\u043e\u0441\u0442\u044c \u043c\u0435\u0436\u0434\u0443 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u0430\u043c\u0438 \u0434\u0432\u0443\u0445 \u043f\u043b\u0430\u043d\u043e\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-3abd37199c65d756bb9c892bf56f0f2a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{3}{6}=\\cfrac{-2}{-4}\\neq\\cfrac{6}{3} \\neq \\cfrac{4}{1} \\quad \\longrightarrow \\quad \\pi_1 \\ \\cancel{\\parallel} \\ \\pi_2\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"263\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041d\u043e \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u044b A, B \u0438 C \u0434\u0432\u0443\u0445 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0435\u0439 \u043d\u0435 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0438\u043e\u043d\u0430\u043b\u044c\u043d\u044b, \u0430 \u0442\u043e\u043b\u044c\u043a\u043e \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u044b A \u0438 B. \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0434\u0432\u0435 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438 \u043d\u0435 \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b, \u0430 \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0442\u0441\u044f \u0438, \u0441\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 \u043d\u0438\u043c\u0438 \u0440\u0430\u0432\u043d\u043e 0: <\/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-c2ceb0ff96abef105348fa5660ba4fa9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{d(\\pi_1,\\pi_2)=0}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"99\" style=\"vertical-align: -5px;\"><\/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> \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 \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b\u043c\u0438 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044f\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-6d14719b0eefd313552d5257c249c66f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\pi_1 : \\ \\begin{cases} x=3+4\\lambda-2 \\mu \\\\[1.7ex]y=-2+\\lambda+6 \\mu \\\\[1.7ex]z=5-\\lambda+3 \\mu \\end{cases}\\qquad \\qquad  \\pi_2 : \\ 3x+2y-2z-9=0\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"477\" 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\"> \u041f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044c \u043f\u0435\u0440\u0435\u0434\u043d\u0435\u0433\u043e \u043f\u043b\u0430\u043d\u0430 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u044f\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, \u0447\u0442\u043e\u0431\u044b \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u0442\u044c \u043f\u0440\u044f\u043c\u0443\u044e \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u0434\u043b\u044f \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u044f \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b\u043c\u0438 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044f\u043c\u0438, \u043d\u0430\u043c \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u043d\u0443\u0436\u043d\u043e \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u0442\u044c \u0435\u0435 \u0432 \u0444\u043e\u0440\u043c\u0443 \u043e\u0431\u0449\u0435\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f, \u0430 \u044d\u0442\u043e \u0442\u0440\u0435\u0431\u0443\u0435\u0442 \u043c\u043d\u043e\u0433\u043e \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u0439 \u0438 \u0432\u0440\u0435\u043c\u0435\u043d\u0438. \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0431\u0443\u0434\u0435\u0442 \u0431\u044b\u0441\u0442\u0440\u0435\u0435, \u0435\u0441\u043b\u0438 \u043c\u044b \u0432\u043e\u0437\u044c\u043c\u0435\u043c \u0442\u043e\u0447\u043a\u0443 \u043d\u0430 \u044d\u0442\u043e\u0439 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438 \u0438 \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u043c \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043e\u0442 \u044d\u0442\u043e\u0439 \u0442\u043e\u0447\u043a\u0438 \u0434\u043e \u0434\u0440\u0443\u0433\u043e\u0439 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438.<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0442\u043e\u0447\u043a\u0438, \u043f\u0440\u0438\u043d\u0430\u0434\u043b\u0435\u0436\u0430\u0449\u0435\u0439 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438 \u03c0 <sub>1<\/sub> , \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0442 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u043c \u0447\u043b\u0435\u043d\u0430\u043c \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u043e\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-d66243e674f3ead58ca1ff6b29a9a715_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(3,-2,5)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"83\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0435\u043f\u0435\u0440\u044c \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u043c \u0444\u043e\u0440\u043c\u0443\u043b\u0443, \u0447\u0442\u043e\u0431\u044b \u043d\u0430\u0439\u0442\u0438 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u044d\u0442\u043e\u0439 \u0442\u043e\u0447\u043a\u043e\u0439 \u0438 \u0434\u0440\u0443\u0433\u043e\u0439 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044c\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-8e667bbf8e826d021b1cb466a3b312ef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,\\pi_2) = \\cfrac{\\lvert A\\cdot x_0+B\\cdot y_0+C\\cdot z_0+D\\rvert}{\\sqrt{A^2+B^2+C^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"307\" style=\"vertical-align: -16px;\"><\/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-e4c4801629feef3733a4564df35d3c46_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,\\pi_2) = \\cfrac{\\lvert 3\\cdot 3+2\\cdot (-2)+(-2)\\cdot 5-9\\rvert}{\\sqrt{3^2+2^2+(-2)^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"48\" width=\"317\" style=\"vertical-align: -20px;\"><\/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-617538033c94b7606ec4aff058302fd7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,\\pi_2) = \\cfrac{\\lvert 9-4-10-9\\rvert}{\\sqrt{9+4+4}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"206\" style=\"vertical-align: -16px;\"><\/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-112e5dabc19834e9cd886f6c9296452a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,\\pi_2) = \\cfrac{\\lvert -14\\rvert}{\\sqrt{17}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"128\" style=\"vertical-align: -16px;\"><\/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-18ff6ac34eed85be881c346ecb7e41dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,\\pi_2) = \\cfrac{14}{\\sqrt{17}}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"119\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \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 \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b\u043c\u0438 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044f\u043c\u0438 \u0440\u0430\u0432\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-ef887cbd7e8b9c8bbe88736ce26776d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{d(\\pi_1,\\pi_2)=d(P,\\pi_2) =} \\cfrac{\\bm{14}}{\\bm{\\sqrt{17}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"204\" style=\"vertical-align: -16px;\"><\/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 \u0443\u0437\u043d\u0430\u0435\u0442\u0435, \u043a\u0430\u043a \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 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044f\u043c\u0438. \u0412 \u0447\u0430\u0441\u0442\u043d\u043e\u0441\u0442\u0438, \u0432\u044b \u0443\u0432\u0438\u0434\u0438\u0442\u0435 \u0434\u0432\u0430 \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u044e\u0449\u0438\u0445 \u043c\u0435\u0442\u043e\u0434\u0430 \u0438 \u043a\u043e\u0433\u0434\u0430 \u043b\u0443\u0447\u0448\u0435 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0442\u043e\u0442 \u0438\u043b\u0438 \u0438\u043d\u043e\u0439. \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0443 \u0432\u0430\u0441 \u0435\u0441\u0442\u044c \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0438 \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \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 \u0434\u0432\u0443\u043c\u044f \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044f\u043c\u0438, \u0447\u0442\u043e\u0431\u044b \u0432\u044b \u043c\u043e\u0433\u043b\u0438 \u0445\u043e\u0440\u043e\u0448\u043e \u044d\u0442\u043e \u043f\u043e\u043d\u044f\u0442\u044c. \u041a\u0430\u043a \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u044b\u0432\u0430\u0435\u0442\u0441\u044f \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044f\u043c\u0438? \u0420\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044f\u043c\u0438 &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-%d0%bf%d0%bb%d0%be%d1%81%d0%ba\/\"> <span class=\"screen-reader-text\">\u0420\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044f\u043c\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-259","post","type-post","status-publish","format-standard","hentry","category-15"],"yoast_head":"<!-- This site is optimized 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\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-\u043f\u043b\u043e\u0441\u043a\/","article_published_time":"2023-07-10T08:10:10+00:00","og_image":[{"url":"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/distance-entre-deux-plans-paralleles.webp"}],"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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