{"id":28875,"date":"2021-04-20T13:00:27","date_gmt":"2021-04-20T13:00:27","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=28875"},"modified":"2024-09-22T02:09:16","modified_gmt":"2024-09-22T02:09:16","slug":"%d1%83%d1%80%d0%b0%d0%b2%d0%bd%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bf%d1%80%d1%8f%d0%bc%d0%be%d0%b9-%d0%b8-%d0%b4%d0%b5%d0%ba%d0%b0%d1%80%d1%82%d0%be%d0%b2%d1%8b%d0%b5-%d1%81%d0%b8%d1%81%d1%82%d0%b5%d0%bc","status":"publish","type":"post","link":"https:\/\/toposuranos.com\/material\/ru\/%d1%83%d1%80%d0%b0%d0%b2%d0%bd%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bf%d1%80%d1%8f%d0%bc%d0%be%d0%b9-%d0%b8-%d0%b4%d0%b5%d0%ba%d0%b0%d1%80%d1%82%d0%be%d0%b2%d1%8b%d0%b5-%d1%81%d0%b8%d1%81%d1%82%d0%b5%d0%bc\/","title":{"rendered":"\u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043f\u0440\u044f\u043c\u043e\u0439 \u0438 \u0434\u0435\u043a\u0430\u0440\u0442\u043e\u0432\u044b\u0435 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442"},"content":{"rendered":"<p><center><\/p>\n<h1>\u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043f\u0440\u044f\u043c\u043e\u0439 \u0438 \u0434\u0435\u043a\u0430\u0440\u0442\u043e\u0432\u044b\u0435 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442<\/h1>\n<p style=\"text-align: center;\"><em><strong>\u0420\u0435\u0437\u044e\u043c\u0435:<\/strong><br \/>\n      \u041d\u0430 \u044d\u0442\u043e\u043c \u0443\u0440\u043e\u043a\u0435 \u043c\u044b \u0440\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0438\u043c \u043e\u0441\u043d\u043e\u0432\u044b \u0430\u043d\u0430\u043b\u0438\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0438, \u043f\u043e\u043a\u0430\u0437\u044b\u0432\u0430\u044f, \u043a\u0430\u043a \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0442\u044c \u0442\u043e\u0447\u043a\u0438 \u043d\u0430 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438 \u0438 \u043a\u0430\u043a \u0432\u044b\u0432\u0435\u0441\u0442\u0438 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043f\u0440\u044f\u043c\u043e\u0439 \u043d\u0430 \u043e\u0441\u043d\u043e\u0432\u0435 \u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u0438 \u0437\u0430\u0434\u0430\u043d\u043d\u043e\u0439 \u0442\u043e\u0447\u043a\u0438. \u041c\u044b \u0438\u0437\u0443\u0447\u0438\u043c \u043a\u043b\u044e\u0447\u0435\u0432\u044b\u0435 \u043a\u043e\u043d\u0446\u0435\u043f\u0446\u0438\u0438, \u0442\u0430\u043a\u0438\u0435 \u043a\u0430\u043a \u043d\u0430\u043a\u043b\u043e\u043d, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u043d\u0438\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f <span class=\"katex-eq\" data-katex-display=\"false\">y = mx + b<\/span>, \u0438 \u0433\u0440\u0430\u0444\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u0438\u0435 \u043f\u0440\u044f\u043c\u044b\u0445 \u043b\u0438\u043d\u0438\u0439, \u0430 \u0442\u0430\u043a\u0436\u0435 \u0432\u043a\u043b\u044e\u0447\u0438\u043c \u043f\u0440\u0430\u043a\u0442\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u0438 \u043f\u0440\u0438\u043c\u0435\u043d\u0435\u043d\u0438\u044f \u0434\u043b\u044f \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u0440\u0435\u0430\u043b\u044c\u043d\u044b\u0445 \u0437\u0430\u0434\u0430\u0447, \u0442\u0430\u043a\u0438\u0445 \u043a\u0430\u043a \u0440\u0430\u0441\u0447\u0451\u0442 \u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u0439 \u0438 \u043d\u0430\u0445\u043e\u0436\u0434\u0435\u043d\u0438\u0435 \u0442\u043e\u0447\u0435\u043a \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u043f\u0440\u044f\u043c\u044b\u0445.<\/em><\/p>\n<p>   <strong>\u0426\u0435\u043b\u0438 \u043e\u0431\u0443\u0447\u0435\u043d\u0438\u044f<\/strong><\/p>\n<ol style=\"text-align:left;\">\n<li><strong>\u041f\u043e\u043d\u044f\u0442\u044c<\/strong> \u043e\u0441\u043d\u043e\u0432\u043d\u044b\u0435 \u043f\u0440\u0438\u043d\u0446\u0438\u043f\u044b \u0430\u043d\u0430\u043b\u0438\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0438 \u0438 \u0438\u0445 \u043f\u0440\u0438\u043c\u0435\u043d\u0435\u043d\u0438\u0435 \u0434\u043b\u044f \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u0442\u043e\u0447\u0435\u043a \u043d\u0430 \u0434\u0435\u043a\u0430\u0440\u0442\u043e\u0432\u043e\u0439 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438.<\/li>\n<li><strong>\u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c<\/strong> \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u043f\u0440\u044f\u043c\u043e\u0439 \u0438 \u0435\u0451 \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0438\u0439 \u0441\u043c\u044b\u0441\u043b.<\/li>\n<li><strong>\u041f\u0440\u0438\u043c\u0435\u043d\u0438\u0442\u044c<\/strong> \u043e\u0431\u0449\u0435\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043f\u0440\u044f\u043c\u043e\u0439 <span class=\"katex-eq\" data-katex-display=\"false\">y = mx + b<\/span> \u0434\u043b\u044f \u043e\u043f\u0438\u0441\u0430\u043d\u0438\u044f \u043b\u0438\u043d\u0435\u0439\u043d\u044b\u0445 \u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0441\u0442\u0435\u0439.<\/li>\n<li><strong>\u0412\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c<\/strong> \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043f\u0440\u044f\u043c\u043e\u0439, \u0438\u0441\u0445\u043e\u0434\u044f \u0438\u0437 \u0442\u043e\u0447\u043a\u0438 \u0438 \u043d\u0430\u043a\u043b\u043e\u043d\u0430.<\/li>\n<li><strong>\u041f\u043e\u0441\u0442\u0440\u043e\u0438\u0442\u044c<\/strong> \u0433\u0440\u0430\u0444\u0438\u043a\u0438 \u043f\u0440\u044f\u043c\u044b\u0445 \u043b\u0438\u043d\u0438\u0439 \u043d\u0430 \u0434\u0435\u043a\u0430\u0440\u0442\u043e\u0432\u043e\u0439 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f \u0438\u0445 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f.<\/li>\n<li><strong>\u0420\u0435\u0448\u0438\u0442\u044c<\/strong> \u0437\u0430\u0434\u0430\u0447\u0438, \u0441\u0432\u044f\u0437\u0430\u043d\u043d\u044b\u0435 \u0441 \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u0435\u043c \u0434\u0432\u0443\u0445 \u043f\u0440\u044f\u043c\u044b\u0445, \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u0441\u0438\u0441\u0442\u0435\u043c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439.<\/li>\n<li><strong>\u0410\u043d\u0430\u043b\u0438\u0437\u0438\u0440\u043e\u0432\u0430\u0442\u044c<\/strong> \u0432\u0437\u0430\u0438\u043c\u043e\u0441\u0432\u044f\u0437\u044c \u0434\u0432\u0443\u0445 \u043b\u0438\u043d\u0435\u0439\u043d\u044b\u0445 \u0432\u0435\u043b\u0438\u0447\u0438\u043d \u0438 \u0438\u0445 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u0438\u0435 \u0447\u0435\u0440\u0435\u0437 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043f\u0440\u044f\u043c\u043e\u0439.<\/li>\n<\/ol>\n<p>   <strong>\u0421\u043e\u0434\u0435\u0440\u0436\u0430\u043d\u0438\u0435<\/strong><br \/>\n   <a href=\"#1\">\u041f\u0440\u0438\u043d\u0446\u0438\u043f\u044b \u0430\u043d\u0430\u043b\u0438\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0438<\/a><br \/>\n   <a href=\"#2\">\u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043f\u0440\u044f\u043c\u043e\u0439<\/a><br \/>\n   <a href=\"#3\">\u041a\u0430\u043a \u043f\u043e\u0441\u0442\u0440\u043e\u0438\u0442\u044c \u0433\u0440\u0430\u0444\u0438\u043a \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043f\u0440\u044f\u043c\u043e\u0439<\/a><br \/>\n   <a href=\"#4\">\u041f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u0435 \u043f\u0440\u044f\u043c\u044b\u0445<\/a>\n   <\/p>\n<p><\/center><\/p>\n<p>   <center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/mNISGHOByAI\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/center><\/p>\n<p style=\"text-align: justify;\">\u0422\u0435\u043f\u0435\u0440\u044c \u043c\u044b \u043d\u0430\u0447\u043d\u0435\u043c \u0438\u0437\u0443\u0447\u0435\u043d\u0438\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043f\u0440\u044f\u043c\u043e\u0439, \u0434\u0435\u043a\u0430\u0440\u0442\u043e\u0432\u044b\u0445 \u0441\u0438\u0441\u0442\u0435\u043c \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442 \u0438 \u043f\u0440\u0438\u043d\u0446\u0438\u043f\u043e\u0432 \u0430\u043d\u0430\u043b\u0438\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0438.<\/p>\n<p><a name=\"1\"><\/a><\/p>\n<h2>\u041f\u0440\u0438\u043d\u0446\u0438\u043f\u044b \u0430\u043d\u0430\u043b\u0438\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0438<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=mNISGHOByAI&amp;t=140s\" target=\"_blank\" rel=\"noopener\"><strong>\u041a\u043e\u0433\u0434\u0430 \u0432\u0432\u043e\u0434\u044f\u0442 \u0434\u0435\u0439\u0441\u0442\u0432\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0435 \u0447\u0438\u0441\u043b\u0430<\/strong><\/a>, \u043e\u0431\u044b\u0447\u043d\u043e \u0433\u043e\u0432\u043e\u0440\u044f\u0442, \u0447\u0442\u043e \u044d\u0442\u043e \u0442\u043e\u0447\u043a\u0438 \u043d\u0430 \u043f\u0440\u044f\u043c\u043e\u0439<\/p>\n<p>   <img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-GVaIW2wJ8sQ\/YH8dbLc562I\/AAAAAAAAE8Q\/mQOvNS6N18gbsEvWuU4gzrjvBYuS20_-ACLcBGAsYHQ\/s0\/RECTA%2BDE%2BLOS%2BREALES.PNG\" alt=\"\u041f\u0440\u044f\u043c\u0430\u044f \u0434\u0435\u0439\u0441\u0442\u0432\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0445 \u0447\u0438\u0441\u0435\u043b\" class=\" aligncenter lazyload\" width=\"581\" height=\"128\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-GVaIW2wJ8sQ\/YH8dbLc562I\/AAAAAAAAE8Q\/mQOvNS6N18gbsEvWuU4gzrjvBYuS20_-ACLcBGAsYHQ\/s0\/RECTA%2BDE%2BLOS%2BREALES.PNG\" alt=\"\u041f\u0440\u044f\u043c\u0430\u044f \u0434\u0435\u0439\u0441\u0442\u0432\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0445 \u0447\u0438\u0441\u0435\u043b\" class=\" aligncenter lazyload\" width=\"581\" height=\"128\" \/><\/noscript><\/p>\n<p style=\"text-align: justify;\">\u041d\u0430 \u043e\u0441\u043d\u043e\u0432\u0435 \u044d\u0442\u043e\u0433\u043e \u0414\u0435\u043a\u0430\u0440\u0442 \u043f\u0440\u0435\u0434\u043b\u043e\u0436\u0438\u043b \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0434\u0432\u0435 \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0449\u0438\u0435\u0441\u044f \u043f\u0440\u044f\u043c\u044b\u0435 \u0434\u043b\u044f \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u0442\u043e\u0447\u0435\u043a \u043d\u0430 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438 \u043a\u0430\u043a \u043f\u0430\u0440\u044b \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442 (x, y)<\/p>\n<p>   <img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-HVR3PImxths\/YH8d4-azX3I\/AAAAAAAAE8Y\/Qw5_Ir_CzZwM446x73emMv2R4FRssqfHwCLcBGAsYHQ\/s0\/PLANO%2BCARTESIANO.PNG\" alt=\"\u0414\u0435\u043a\u0430\u0440\u0442\u043e\u0432\u0430 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044c\" class=\" aligncenter lazyload\" width=\"434\" height=\"252\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-HVR3PImxths\/YH8d4-azX3I\/AAAAAAAAE8Y\/Qw5_Ir_CzZwM446x73emMv2R4FRssqfHwCLcBGAsYHQ\/s0\/PLANO%2BCARTESIANO.PNG\" alt=\"\u0414\u0435\u043a\u0430\u0440\u0442\u043e\u0432\u0430 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044c\" class=\" aligncenter lazyload\" width=\"434\" height=\"252\" \/><\/noscript><\/p>\n<p><a name=\"2\"><\/a>     <\/p>\n<h2>\u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043f\u0440\u044f\u043c\u043e\u0439<\/h2>\n<p style=\"text-align: justify;\">\u0418\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f \u044d\u0442\u0438 \u043a\u043e\u043d\u0446\u0435\u043f\u0446\u0438\u0438, \u0442\u0435\u043f\u0435\u0440\u044c \u043c\u043e\u0436\u043d\u043e \u0440\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u043c\u043d\u043e\u0436\u0435\u0441\u0442\u0432\u043e \u0442\u043e\u0447\u0435\u043a \u043d\u0430 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438 \u0434\u043b\u044f \u0444\u043e\u0440\u043c\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u044f \u043a\u0440\u0438\u0432\u044b\u0445, \u0433\u0434\u0435 \u0434\u043b\u044f \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b <span class=\"katex-eq\" data-katex-display=\"false\">x<\/span> \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u0434\u0440\u0443\u0433\u0430\u044f \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u0430 <span class=\"katex-eq\" data-katex-display=\"false\">y<\/span>, \u0438 \u044d\u0442\u043e \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0438\u044f \u0437\u0430\u0434\u0430\u0435\u0442\u0441\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0435\u0439. \u0412 \u044d\u0442\u043e\u043c \u043c\u0435\u0441\u0442\u0435 \u0430\u043b\u0433\u0435\u0431\u0440\u0430 \u043f\u0440\u043e\u043d\u0438\u043a\u0430\u0435\u0442 \u0432 \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u044e, \u043f\u043e\u0440\u043e\u0436\u0434\u0430\u044f \u00ab\u0430\u043d\u0430\u043b\u0438\u0442\u0438\u0447\u0435\u0441\u043a\u0443\u044e \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u044e\u00bb.<\/p>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=mNISGHOByAI&amp;t=320s\" target=\"_blank\" rel=\"noopener\"><strong>\u0413\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0438, \u043f\u0440\u044f\u043c\u0430\u044f \u043b\u0438\u043d\u0438\u044f<\/strong><\/a> \u043f\u043e\u043d\u0438\u043c\u0430\u0435\u0442\u0441\u044f \u043a\u0430\u043a \u043a\u0440\u0438\u0432\u0430\u044f, \u0441\u043e\u0435\u0434\u0438\u043d\u044f\u044e\u0449\u0430\u044f \u0434\u0432\u0435 \u0442\u043e\u0447\u043a\u0438 \u043f\u043e \u043a\u0440\u0430\u0442\u0447\u0430\u0439\u0448\u0435\u043c\u0443 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u044e.<\/p>\n<p>   <img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-Bgjb959iAoo\/YH8eKEZ_ocI\/AAAAAAAAE8g\/FaZmlsj4Pn8tZ_A_XpqA5yfE7SWdygj7QCLcBGAsYHQ\/s0\/RECTA%2BEN%2BEL%2BPLANO%2BCARTESIANO.PNG\" alt=\"\u041f\u0440\u044f\u043c\u0430\u044f \u043b\u0438\u043d\u0438\u044f \u043d\u0430 \u0434\u0435\u043a\u0430\u0440\u0442\u043e\u0432\u043e\u0439 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438\" class=\" aligncenter lazyload\" width=\"429\" height=\"267\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-Bgjb959iAoo\/YH8eKEZ_ocI\/AAAAAAAAE8g\/FaZmlsj4Pn8tZ_A_XpqA5yfE7SWdygj7QCLcBGAsYHQ\/s0\/RECTA%2BEN%2BEL%2BPLANO%2BCARTESIANO.PNG\" alt=\"\u041f\u0440\u044f\u043c\u0430\u044f \u043b\u0438\u043d\u0438\u044f \u043d\u0430 \u0434\u0435\u043a\u0430\u0440\u0442\u043e\u0432\u043e\u0439 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438\" class=\" aligncenter lazyload\" width=\"429\" height=\"267\" \/><\/noscript><\/p>\n<p style=\"text-align: justify;\">\u0413\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0438 \u043f\u0440\u044f\u043c\u0430\u044f \u043b\u0438\u043d\u0438\u044f \u2014 \u044d\u0442\u043e \u043a\u0440\u0438\u0432\u0430\u044f, \u0441\u043e\u0435\u0434\u0438\u043d\u044f\u044e\u0449\u0430\u044f \u0434\u0432\u0435 \u0442\u043e\u0447\u043a\u0438 \u043f\u043e \u043a\u0440\u0430\u0442\u0447\u0430\u0439\u0448\u0435\u043c\u0443 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u044e. \u0410\u043d\u0430\u043b\u0438\u0437\u0438\u0440\u0443\u044f \u044d\u0442\u043e, \u0441 \u0443\u0447\u0435\u0442\u043e\u043c \u0442\u0435\u043e\u0440\u0435\u043c\u044b \u0424\u0430\u043b\u0435\u0441\u0430, \u043c\u044b \u0432\u0438\u0434\u0438\u043c, \u0447\u0442\u043e \u043a\u0430\u0436\u0434\u043e\u043c\u0443 \u0438\u0437\u043c\u0435\u043d\u0435\u043d\u0438\u044e \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b <span class=\"katex-eq\" data-katex-display=\"false\">y<\/span> \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u0438\u0437\u043c\u0435\u043d\u0435\u043d\u0438\u0435 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b <span class=\"katex-eq\" data-katex-display=\"false\">x<\/span>, \u0442\u0430\u043a \u0447\u0442\u043e \u043e\u0442\u043d\u043e\u0448\u0435\u043d\u0438\u0435 <span class=\"katex-eq\" data-katex-display=\"false\">m=(y_2 - y_1)\/(x_2 - x_1)=\\Delta y \/ \\Delta x<\/span> \u043e\u0441\u0442\u0430\u0435\u0442\u0441\u044f \u043f\u043e\u0441\u0442\u043e\u044f\u043d\u043d\u044b\u043c \u0434\u043b\u044f \u043b\u044e\u0431\u043e\u0439 \u043f\u0430\u0440\u044b \u0442\u043e\u0447\u0435\u043a \u043d\u0430 \u043f\u0440\u044f\u043c\u043e\u0439. \u042d\u0442\u043e \u043d\u0430\u0437\u044b\u0432\u0430\u0435\u0442\u0441\u044f <strong>\u00ab\u043d\u0430\u043a\u043b\u043e\u043d\u043e\u043c \u043f\u0440\u044f\u043c\u043e\u0439\u00bb<\/strong>.<\/p>\n<p style=\"text-align: justify;\">\u041f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043d\u0430\u043a\u043b\u043e\u043d \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432 \u0434\u043b\u044f \u043b\u044e\u0431\u043e\u0439 \u043f\u0430\u0440\u044b \u0442\u043e\u0447\u0435\u043a \u043d\u0430 \u043f\u0440\u044f\u043c\u043e\u0439, \u0442\u043e \u0435\u0441\u043b\u0438 \u0440\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0442\u043e\u0447\u043a\u0438 \u043d\u0430 \u043f\u0440\u044f\u043c\u043e\u0439 \u0441 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u0430\u043c\u0438 <span class=\"katex-eq\" data-katex-display=\"false\">(x, y),<\/span> <span class=\"katex-eq\" data-katex-display=\"false\">(x_0, y_0),<\/span> <span class=\"katex-eq\" data-katex-display=\"false\">(x_1, y_1)<\/span> \u0438 <span class=\"katex-eq\" data-katex-display=\"false\">(x_2, y_2),<\/span> \u043c\u043e\u0436\u043d\u043e \u0437\u0430\u043f\u0438\u0441\u0430\u0442\u044c:<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\frac{y - y_0}{x - x_0} = \\frac{y_2 - y_1}{x_2 - x_1}<\/span>\n<p style=\"text-align: justify;\">\u042d\u0442\u043e \u0442\u043e \u0436\u0435 \u0441\u0430\u043c\u043e\u0435, \u0447\u0442\u043e \u0438 \u0441\u043a\u0430\u0437\u0430\u0442\u044c:<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> \\begin{matrix}y &amp; = &amp; \\displaystyle \\frac{y_2 - y_1}{x_2 - x_1} (x - x_0 ) + y_0 \\\\ \\\\ &amp; = &amp; \\displaystyle \\frac{\\Delta y}{\\Delta x} (x - x_0) + y_0 \\end{matrix}<\/span>\n<p style=\"text-align: justify;\">\u041e\u0442\u0441\u044e\u0434\u0430 \u0432\u044b\u0442\u0435\u043a\u0430\u0435\u0442 \u0437\u043d\u0430\u043c\u0435\u043d\u0438\u0442\u043e\u0435 <strong>\u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043f\u0440\u044f\u043c\u043e\u0439<\/strong><\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\color{red}{{y = m(x - x_0) + y_0}}<\/span>\n<p style=\"text-align: justify;\">\u0417\u0434\u0435\u0441\u044c <span class=\"katex-eq\" data-katex-display=\"false\">(x_0, y_0)<\/span> \u2014 \u044d\u0442\u043e \u0444\u0438\u043a\u0441\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u0430\u044f \u0442\u043e\u0447\u043a\u0430, \u0430 <span class=\"katex-eq\" data-katex-display=\"false\">(x, y)<\/span> \u2014 \u043b\u044e\u0431\u0430\u044f \u0442\u043e\u0447\u043a\u0430.<\/p>\n<h3>\u041f\u0440\u0438\u043c\u0435\u0440 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0439<\/h3>\n<ol style=\"text-align: justify;\">\n<li>\u0412\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043f\u0440\u044f\u043c\u043e\u0439, \u043f\u0440\u043e\u0445\u043e\u0434\u044f\u0449\u0435\u0439 \u0447\u0435\u0440\u0435\u0437 \u0442\u043e\u0447\u043a\u0443 <span class=\"katex-eq\" data-katex-display=\"false\">(x_0, y_0) = (2, 3)<\/span> \u0441 \u043d\u0430\u043a\u043b\u043e\u043d\u043e\u043c <span class=\"katex-eq\" data-katex-display=\"false\">m = 3\/2<\/span> <a href=\"https:\/\/www.youtube.com\/watch?v=mNISGHOByAI&amp;t=695s\" target=\"_blank\" rel=\"noopener\"><strong>[\u0420\u0415\u0428\u0415\u041d\u0418\u0415]<\/strong><\/a><\/li>\n<li>\u0412\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043f\u0440\u044f\u043c\u043e\u0439, \u043f\u0440\u043e\u0445\u043e\u0434\u044f\u0449\u0435\u0439 \u0447\u0435\u0440\u0435\u0437 \u0442\u043e\u0447\u043a\u0443 <span class=\"katex-eq\" data-katex-display=\"false\">(x_0, y_0) = (1, 8)<\/span> \u0441 \u043d\u0430\u043a\u043b\u043e\u043d\u043e\u043c <span class=\"katex-eq\" data-katex-display=\"false\">m = 7\/5<\/span> <a href=\"https:\/\/www.youtube.com\/watch?v=mNISGHOByAI&amp;t=750s\" target=\"_blank\" rel=\"noopener\"><strong>[\u0420\u0415\u0428\u0415\u041d\u0418\u0415]<\/strong><\/a><\/li>\n<li>\u0412\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043f\u0440\u044f\u043c\u043e\u0439, \u043f\u0440\u043e\u0445\u043e\u0434\u044f\u0449\u0435\u0439 \u0447\u0435\u0440\u0435\u0437 \u0442\u043e\u0447\u043a\u0438 <span class=\"katex-eq\" data-katex-display=\"false\">(x_1, y_1) = (3, 5)<\/span> \u0438 <span class=\"katex-eq\" data-katex-display=\"false\">(x_2, y_2) = (1, -2)<\/span> <a href=\"https:\/\/www.youtube.com\/watch?v=mNISGHOByAI&amp;t=818s\" target=\"_blank\" rel=\"noopener\"><strong>[\u0420\u0415\u0428\u0415\u041d\u0418\u0415]<\/strong><\/a><\/li>\n<\/ol>\n<p><a name=\"3\"><\/a><\/p>\n<h2>\u041a\u0430\u043a \u043f\u043e\u0441\u0442\u0440\u043e\u0438\u0442\u044c \u0433\u0440\u0430\u0444\u0438\u043a \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043f\u0440\u044f\u043c\u043e\u0439<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=mNISGHOByAI&amp;t=1063s\" target=\"_blank\" rel=\"noopener\"><strong>\u041c\u044b \u0443\u0436\u0435 \u0432\u0438\u0434\u0435\u043b\u0438, \u043a\u0430\u043a \u043f\u043e\u043b\u0443\u0447\u0438\u0442\u044c<\/strong><\/a> \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043f\u0440\u044f\u043c\u043e\u0439 \u0438\u0437 \u0433\u0440\u0430\u0444\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u0438\u043d\u0444\u043e\u0440\u043c\u0430\u0446\u0438\u0438; \u0442\u0435\u043f\u0435\u0440\u044c \u043c\u044b \u0441\u0434\u0435\u043b\u0430\u0435\u043c \u043e\u0431\u0440\u0430\u0442\u043d\u043e\u0435 \u2014 \u043f\u043e\u043b\u0443\u0447\u0438\u043c \u0433\u0440\u0430\u0444\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u0438\u0435 \u0438\u0437 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043f\u0440\u044f\u043c\u043e\u0439.<\/p>\n<p style=\"text-align: justify;\">\u0412 \u043a\u043e\u043d\u0446\u0435 \u043a\u043e\u043d\u0446\u043e\u0432, \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043f\u0440\u044f\u043c\u043e\u0439 \u0432\u0441\u0435\u0433\u0434\u0430 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c:<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">y = mx + b<\/span>\n<p style=\"text-align: justify;\">\u0413\u0434\u0435 <span class=\"katex-eq\" data-katex-display=\"false\">m = \\Delta Y \/ \\Delta x<\/span> \u2014 \u044d\u0442\u043e \u043d\u0430\u043a\u043b\u043e\u043d, \u0430 <span class=\"katex-eq\" data-katex-display=\"false\">b<\/span> \u2014 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442 \u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u044f. \u041d\u0430 \u043e\u0441\u043d\u043e\u0432\u0435 \u044d\u0442\u043e\u0433\u043e \u043c\u044b \u043f\u043e\u043b\u0443\u0447\u0430\u0435\u043c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0439 \u0440\u0438\u0441\u0443\u043d\u043e\u043a:<\/p>\n<p>   <img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-qJd27JlFvC8\/YH8eiEun69I\/AAAAAAAAE8o\/_swD6Cx2J_gQLY5Nw8RoSo7cPfmaOpzLgCLcBGAsYHQ\/s0\/RECTA%2BEN%2BEL%2BPLANO%2BCARTESIANO%2BCON%2BCOORDENADAS.PNG\" alt=\"\u041f\u0440\u044f\u043c\u0430\u044f \u043d\u0430 \u0434\u0435\u043a\u0430\u0440\u0442\u043e\u0432\u043e\u0439 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438 \u0441 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u0430\u043c\u0438\" class=\" aligncenter lazyload\" width=\"350\" height=\"264\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-qJd27JlFvC8\/YH8eiEun69I\/AAAAAAAAE8o\/_swD6Cx2J_gQLY5Nw8RoSo7cPfmaOpzLgCLcBGAsYHQ\/s0\/RECTA%2BEN%2BEL%2BPLANO%2BCARTESIANO%2BCON%2BCOORDENADAS.PNG\" alt=\"\u041f\u0440\u044f\u043c\u0430\u044f \u043d\u0430 \u0434\u0435\u043a\u0430\u0440\u0442\u043e\u0432\u043e\u0439 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438 \u0441 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u0430\u043c\u0438\" class=\" aligncenter lazyload\" width=\"350\" height=\"264\" \/><\/noscript><\/p>\n<h3>\u041f\u0440\u0438\u043c\u0435\u0440 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f<\/h3>\n<ol style=\"text-align: justify;\">\n<li>\u041f\u043e\u0441\u0442\u0440\u043e\u0438\u0442\u044c \u0433\u0440\u0430\u0444\u0438\u043a \u043f\u0440\u044f\u043c\u043e\u0439 \u0441 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435\u043c <span class=\"katex-eq\" data-katex-display=\"false\">y=\\displaystyle \\frac{3}{4}x + 2<\/span> <a href=\"https:\/\/www.youtube.com\/watch?v=mNISGHOByAI&amp;t=1139s\" target=\"_blank\" rel=\"noopener\"><strong>[\u0420\u0415\u0428\u0415\u041d\u0418\u0415]<\/strong><\/a><\/li>\n<li>\u041f\u043e\u0441\u0442\u0440\u043e\u0438\u0442\u044c \u0433\u0440\u0430\u0444\u0438\u043a \u043f\u0440\u044f\u043c\u043e\u0439 \u0441 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435\u043c <span class=\"katex-eq\" data-katex-display=\"false\">y=\\displaystyle -\\frac{2}{5}x + 6<\/span> <a href=\"https:\/\/www.youtube.com\/watch?v=mNISGHOByAI&amp;t=1209s\" target=\"_blank\" rel=\"noopener\"><strong>[\u0420\u0415\u0428\u0415\u041d\u0418\u0415]<\/strong><\/a><\/li>\n<\/ol>\n<h3>\u0417\u0430\u0434\u0430\u0447\u0438 \u043d\u0430 \u043f\u0440\u0438\u043c\u0435\u043d\u0435\u043d\u0438\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043f\u0440\u044f\u043c\u043e\u0439<\/h3>\n<p style=\"text-align: justify;\">\u041f\u0440\u044f\u043c\u0430\u044f \u043c\u043e\u0436\u0435\u0442 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c\u0441\u044f \u0434\u043b\u044f \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u0437\u0430\u0434\u0430\u0447, \u0441\u0432\u044f\u0437\u0430\u043d\u043d\u044b\u0445 \u0441 \u043f\u0440\u044f\u043c\u043e\u0439 \u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0441\u0442\u044c\u044e \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u0432\u0435\u043b\u0438\u0447\u0438\u043d\u0430\u043c\u0438, \u043a\u0430\u043a \u044d\u0442\u043e \u043f\u043e\u043a\u0430\u0437\u0430\u043d\u043e \u0432 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0445 \u043f\u0440\u0438\u043c\u0435\u0440\u0430\u0445.<\/p>\n<ol style=\"text-align: justify;\">\n<li>\u0422\u0440\u0430\u043d\u0441\u043f\u043e\u0440\u0442\u043d\u043e\u0435 \u0441\u0440\u0435\u0434\u0441\u0442\u0432\u043e \u0441 \u043d\u0430\u0447\u0430\u043b\u044c\u043d\u043e\u0439 \u043f\u043e\u0437\u0438\u0446\u0438\u0435\u0439 <span class=\"katex-eq\" data-katex-display=\"false\">x_0 = 12[\u043c]<\/span> \u0434\u0432\u0438\u0436\u0435\u0442\u0441\u044f \u0441\u043e \u0441\u043a\u043e\u0440\u043e\u0441\u0442\u044c\u044e <span class=\"katex-eq\" data-katex-display=\"false\">v=0,3[\u043c\/\u0441]<\/span>. \u0413\u0434\u0435 \u043e\u043d\u043e \u0431\u0443\u0434\u0435\u0442 \u0447\u0435\u0440\u0435\u0437 <span class=\"katex-eq\" data-katex-display=\"false\">30[\u0441]<\/span>? <a href=\"https:\/\/www.youtube.com\/watch?v=mNISGHOByAI&amp;t=1257s\" target=\"_blank\" rel=\"noopener\"><strong>[\u0420\u0415\u0428\u0415\u041d\u0418\u0415]<\/strong><\/a><\/li>\n<li>\u0427\u0435\u043b\u043e\u0432\u0435\u043a \u043a\u0443\u043f\u0438\u043b <span class=\"katex-eq\" data-katex-display=\"false\">1[\u043a\u0433]<\/span> \u044f\u0431\u043b\u043e\u043a \u043d\u0430 \u0440\u044b\u043d\u043a\u0435, \u043f\u043e\u0442\u0440\u0430\u0442\u0438\u0432 \u0432 \u043e\u0431\u0449\u0435\u0439 \u0441\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u0438 <span class=\"katex-eq\" data-katex-display=\"false\">50 Z\\$.<\/span> \u0412 \u0442\u043e\u0442 \u0436\u0435 \u0434\u0435\u043d\u044c \u043e\u043d \u0432\u0435\u0440\u043d\u0443\u043b\u0441\u044f \u0438 \u043a\u0443\u043f\u0438\u043b \u0435\u0449\u0451 <span class=\"katex-eq\" data-katex-display=\"false\">3[\u043a\u0433]<\/span> \u044f\u0431\u043b\u043e\u043a, \u0437\u0430\u043f\u043b\u0430\u0442\u0438\u0432 <span class=\"katex-eq\" data-katex-display=\"false\">60 Z\\$.<\/span> \u041a\u0430\u043a\u043e\u0432\u0430 \u0446\u0435\u043d\u0430 \u044f\u0431\u043b\u043e\u043a \u0438 \u0441\u043a\u043e\u043b\u044c\u043a\u043e \u0441\u0442\u043e\u0438\u043b \u043f\u0440\u043e\u0435\u0437\u0434? <a href=\"https:\/\/www.youtube.com\/watch?v=mNISGHOByAI&amp;t=1383s\" target=\"_blank\" rel=\"noopener\"><strong> [\u0420\u0415\u0428\u0415\u041d\u0418\u0415]<\/strong><\/a><\/li>\n<\/ol>\n<p><a name=\"4\"><\/a><\/p>\n<h2>\u041f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u0435 \u043f\u0440\u044f\u043c\u044b\u0445<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=mNISGHOByAI&amp;t=1855s\" target=\"_blank\" rel=\"noopener\"><strong>\u041f\u0440\u0435\u0434\u043f\u043e\u043b\u043e\u0436\u0438\u043c, \u0443 \u043d\u0430\u0441 \u0435\u0441\u0442\u044c \u0434\u0432\u0435 \u043f\u0440\u044f\u043c\u044b\u0435<\/strong><\/a> \u0438 \u043c\u044b \u0445\u043e\u0442\u0438\u043c \u043d\u0430\u0439\u0442\u0438 \u043e\u0431\u0449\u0443\u044e \u0442\u043e\u0447\u043a\u0443 \u043c\u0435\u0436\u0434\u0443 \u043d\u0438\u043c\u0438; \u0442\u043e \u0435\u0441\u0442\u044c, \u043d\u0430\u0439\u0442\u0438 \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u0435 \u043f\u0440\u044f\u043c\u044b\u0445. \u0427\u0442\u043e\u0431\u044b \u0440\u0435\u0448\u0438\u0442\u044c \u0442\u0430\u043a\u0438\u0435 \u0437\u0430\u0434\u0430\u0447\u0438, \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0440\u0435\u0448\u0438\u0442\u044c \u0441\u0438\u0441\u0442\u0435\u043c\u0443 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439. \u0414\u043b\u044f \u043b\u0443\u0447\u0448\u0435\u0433\u043e \u043f\u043e\u043d\u0438\u043c\u0430\u043d\u0438\u044f \u0440\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0438\u043c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0439 \u043f\u0440\u0438\u043c\u0435\u0440:<\/p>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=mNISGHOByAI&amp;t=1914s\" target=\"_blank\" rel=\"noopener\"><strong>\u0420\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0438\u043c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u043f\u0440\u044f\u043c\u044b\u0435:<\/strong><\/a><\/p>\n<p style=\"text-align: justify;\"><span class=\"katex-eq\" data-katex-display=\"false\">L_1 \\; : \\; y= \\displaystyle \\frac{3}{2}x + 1<\/span>\n<p style=\"text-align: justify;\"><span class=\"katex-eq\" data-katex-display=\"false\">L_1 \\; : \\; y=\\displaystyle -\\frac{1}{3}x + 9<\/span>\n<p style=\"text-align: justify;\">\u0413\u0434\u0435 \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0442\u0441\u044f \u044d\u0442\u0438 \u0434\u0432\u0435 \u043f\u0440\u044f\u043c\u044b\u0435?<\/p>\n<p style=\"text-align: justify;\">\u0414\u043b\u044f \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u044d\u0442\u043e\u0439 \u0437\u0430\u0434\u0430\u0447\u0438 \u043c\u044b \u0440\u0430\u0441\u0441\u0443\u0436\u0434\u0430\u0435\u043c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c:<\/p>\n<table style=\"text-align: justify;\">\n<tbody>\n<tr>\n<td>(1)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">y=\\displaystyle \\frac{3}{2}x + 1<\/span><\/td>\n<td>; \u041f\u0440\u044f\u043c\u0430\u044f <span class=\"katex-eq\" data-katex-display=\"false\">L_1<\/span><\/td>\n<\/tr>\n<tr>\n<td>(2)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">y= \\displaystyle -\\frac{1}{3}x + 9<\/span><\/td>\n<td>; \u041f\u0440\u044f\u043c\u0430\u044f <span class=\"katex-eq\" data-katex-display=\"false\">L_2<\/span><\/td>\n<\/tr>\n<tr>\n<td>(3)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\frac{3}{2}x + 1 = -\\frac{1}{3}x + 9<\/span><\/td>\n<td>; \u0418\u0437 (1) \u0438 (2)<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\frac{3}{2}x = -\\frac{1}{3}x + 8<\/span><\/td>\n<td>; \u0412\u044b\u0447\u0438\u0442\u0430\u0435\u043c 1 \u0441 \u043e\u0431\u0435\u0438\u0445 \u0441\u0442\u043e\u0440\u043e\u043d<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">9x = -2x + 48<\/span><\/td>\n<td>; \u0423\u043c\u043d\u043e\u0436\u0430\u0435\u043c \u043e\u0431\u0435 \u0441\u0442\u043e\u0440\u043e\u043d\u044b \u043d\u0430 6<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">11x =48<\/span><\/td>\n<td>; \u0421\u043a\u043b\u0430\u0434\u044b\u0432\u0430\u0435\u043c 2x \u0441 \u043e\u0431\u0435\u0438\u0445 \u0441\u0442\u043e\u0440\u043e\u043d<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle x = \\frac{48}{11}<\/span><\/td>\n<td>; \u0414\u0435\u043b\u0438\u043c \u043e\u0431\u0435 \u0441\u0442\u043e\u0440\u043e\u043d\u044b \u043d\u0430 11<\/td>\n<\/tr>\n<tr>\n<td>(4)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle y= \\frac{3}{2}\\cdot \\frac{48}{11} + 1<\/span><\/td>\n<td>; \u0418\u0437 (1) \u0438 (3)<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle y= \\frac{3}{1}\\cdot \\frac{24}{11} + \\frac{11}{11}<\/span><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">y= \\displaystyle \\frac{83}{11}<\/span><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>(5)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle (x, y)= \\left(\\frac{48}{11}, \\frac{83}{11} \\right)<\/span><\/td>\n<td>; \u0418\u0437 (3) \u0438 (4)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">\u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0442\u043e\u0447\u043a\u0430 \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u044d\u0442\u0438\u0445 \u0434\u0432\u0443\u0445 \u043f\u0440\u044f\u043c\u044b\u0445: <span class=\"katex-eq\" data-katex-display=\"false\">(x, y)= \\displaystyle \\left(\\frac{48}{11}, \\frac{83}{11} \\right).<\/span>\n<h3>\u041f\u0440\u0438\u043c\u0435\u0440 \u0437\u0430\u0434\u0430\u0447\u0438 \u043d\u0430 \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u0435 \u043f\u0440\u044f\u043c\u044b\u0445<\/h3>\n<p style=\"text-align: justify;\">\u041d\u0430 \u0432\u0435\u0447\u0435\u0440\u0438\u043d\u043a\u0443 \u0431\u044b\u043b\u043e \u043f\u0440\u043e\u0434\u0430\u043d\u043e 600 \u0431\u0438\u043b\u0435\u0442\u043e\u0432 \u0441 \u043e\u0431\u0449\u0438\u043c \u0434\u043e\u0445\u043e\u0434\u043e\u043c <span class=\"katex-eq\" data-katex-display=\"false\">\\$1.300.000.<\/span> \u0411\u0438\u043b\u0435\u0442\u044b \u0434\u043b\u044f \u043c\u043e\u043b\u043e\u0434\u0435\u0436\u0438 \u043f\u0440\u043e\u0434\u0430\u0432\u0430\u043b\u0438\u0441\u044c \u043f\u043e <span class=\"katex-eq\" data-katex-display=\"false\">\\$1.000,<\/span> \u0430 \u0434\u043b\u044f \u0432\u0437\u0440\u043e\u0441\u043b\u044b\u0445 \u2014 \u043f\u043e <span class=\"katex-eq\" data-katex-display=\"false\">\\$3.000<\/span>. \u0421\u043a\u043e\u043b\u044c\u043a\u043e \u0432\u0437\u0440\u043e\u0441\u043b\u044b\u0445 \u0438 \u043c\u043e\u043b\u043e\u0434\u0435\u0436\u0438 \u0431\u044b\u043b\u043e \u043d\u0430 \u0432\u0435\u0447\u0435\u0440\u0438\u043d\u043a\u0435? <a href=\"https:\/\/www.youtube.com\/watch?v=mNISGHOByAI&amp;t=2255s\" target=\"_blank\" rel=\"noopener\"><strong> [\u0420\u0415\u0428\u0415\u041d\u0418\u0415]<\/strong><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043f\u0440\u044f\u043c\u043e\u0439 \u0438 \u0434\u0435\u043a\u0430\u0440\u0442\u043e\u0432\u044b\u0435 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442 \u0420\u0435\u0437\u044e\u043c\u0435: \u041d\u0430 \u044d\u0442\u043e\u043c \u0443\u0440\u043e\u043a\u0435 \u043c\u044b \u0440\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0438\u043c \u043e\u0441\u043d\u043e\u0432\u044b \u0430\u043d\u0430\u043b\u0438\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0438, \u043f\u043e\u043a\u0430\u0437\u044b\u0432\u0430\u044f, \u043a\u0430\u043a \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0442\u044c \u0442\u043e\u0447\u043a\u0438 \u043d\u0430 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438 \u0438 \u043a\u0430\u043a \u0432\u044b\u0432\u0435\u0441\u0442\u0438 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043f\u0440\u044f\u043c\u043e\u0439 \u043d\u0430 \u043e\u0441\u043d\u043e\u0432\u0435 \u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u0438 \u0437\u0430\u0434\u0430\u043d\u043d\u043e\u0439 \u0442\u043e\u0447\u043a\u0438. \u041c\u044b \u0438\u0437\u0443\u0447\u0438\u043c \u043a\u043b\u044e\u0447\u0435\u0432\u044b\u0435 \u043a\u043e\u043d\u0446\u0435\u043f\u0446\u0438\u0438, \u0442\u0430\u043a\u0438\u0435 \u043a\u0430\u043a \u043d\u0430\u043a\u043b\u043e\u043d, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u043d\u0438\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f , \u0438 \u0433\u0440\u0430\u0444\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u0438\u0435 \u043f\u0440\u044f\u043c\u044b\u0445 \u043b\u0438\u043d\u0438\u0439, \u0430 \u0442\u0430\u043a\u0436\u0435 \u0432\u043a\u043b\u044e\u0447\u0438\u043c \u043f\u0440\u0430\u043a\u0442\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":28865,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"iawp_total_views":21,"footnotes":""},"categories":[589,573],"tags":[],"class_list":["post-28875","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-589","category-573"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.0 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>\u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043f\u0440\u044f\u043c\u043e\u0439 \u0438 \u0434\u0435\u043a\u0430\u0440\u0442\u043e\u0432\u044b\u0435 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442 - toposuranos.com\/material<\/title>\n<meta name=\"description\" content=\"\u0418\u0437\u0443\u0447\u0438\u0442\u0435 \u043e\u0441\u043d\u043e\u0432\u044b \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043f\u0440\u044f\u043c\u043e\u0439 \u0438 \u0434\u0435\u043a\u0430\u0440\u0442\u043e\u0432\u044b\u0445 \u0441\u0438\u0441\u0442\u0435\u043c \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442. \u0423\u0437\u043d\u0430\u0439\u0442\u0435, \u043a\u0430\u043a \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0442\u044c \u0438 \u0441\u0442\u0440\u043e\u0438\u0442\u044c \u0433\u0440\u0430\u0444\u0438\u043a\u0438 \u043f\u0440\u044f\u043c\u044b\u0445, \u0440\u0435\u0448\u0430\u0442\u044c \u0437\u0430\u0434\u0430\u0447\u0438.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/toposuranos.com\/material\/ru\/\u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435-\u043f\u0440\u044f\u043c\u043e\u0439-\u0438-\u0434\u0435\u043a\u0430\u0440\u0442\u043e\u0432\u044b\u0435-\u0441\u0438\u0441\u0442\u0435\u043c\/\" \/>\n<meta property=\"og:locale\" content=\"es_ES\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043f\u0440\u044f\u043c\u043e\u0439 \u0438 \u0434\u0435\u043a\u0430\u0440\u0442\u043e\u0432\u044b\u0435 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\" \/>\n<meta property=\"og:description\" content=\"\u0418\u0437\u0443\u0447\u0438\u0442\u0435 \u043e\u0441\u043d\u043e\u0432\u044b \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043f\u0440\u044f\u043c\u043e\u0439 \u0438 \u0434\u0435\u043a\u0430\u0440\u0442\u043e\u0432\u044b\u0445 \u0441\u0438\u0441\u0442\u0435\u043c \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442. \u0423\u0437\u043d\u0430\u0439\u0442\u0435, \u043a\u0430\u043a \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0442\u044c \u0438 \u0441\u0442\u0440\u043e\u0438\u0442\u044c \u0433\u0440\u0430\u0444\u0438\u043a\u0438 \u043f\u0440\u044f\u043c\u044b\u0445, \u0440\u0435\u0448\u0430\u0442\u044c \u0437\u0430\u0434\u0430\u0447\u0438.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/toposuranos.com\/material\/ru\/\u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435-\u043f\u0440\u044f\u043c\u043e\u0439-\u0438-\u0434\u0435\u043a\u0430\u0440\u0442\u043e\u0432\u044b\u0435-\u0441\u0438\u0441\u0442\u0435\u043c\/\" \/>\n<meta property=\"og:site_name\" content=\"toposuranos.com\/material\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/groups\/toposuranos\" \/>\n<meta property=\"article:published_time\" content=\"2021-04-20T13:00:27+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2024-09-22T02:09:16+00:00\" \/>\n<meta property=\"og:image\" content=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/09\/recta-1024x585.jpg\" \/>\n<meta name=\"author\" content=\"giorgio.reveco\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:title\" content=\"\u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043f\u0440\u044f\u043c\u043e\u0439 \u0438 \u0434\u0435\u043a\u0430\u0440\u0442\u043e\u0432\u044b\u0435 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\" \/>\n<meta name=\"twitter:description\" content=\"\u0418\u0437\u0443\u0447\u0438\u0442\u0435 \u043e\u0441\u043d\u043e\u0432\u044b \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043f\u0440\u044f\u043c\u043e\u0439 \u0438 \u0434\u0435\u043a\u0430\u0440\u0442\u043e\u0432\u044b\u0445 \u0441\u0438\u0441\u0442\u0435\u043c \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442. \u0423\u0437\u043d\u0430\u0439\u0442\u0435, \u043a\u0430\u043a \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0442\u044c \u0438 \u0441\u0442\u0440\u043e\u0438\u0442\u044c \u0433\u0440\u0430\u0444\u0438\u043a\u0438 \u043f\u0440\u044f\u043c\u044b\u0445, \u0440\u0435\u0448\u0430\u0442\u044c \u0437\u0430\u0434\u0430\u0447\u0438.\" \/>\n<meta name=\"twitter:image\" content=\"https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/09\/recta.jpg\" \/>\n<meta name=\"twitter:creator\" content=\"@topuranos\" \/>\n<meta name=\"twitter:site\" content=\"@topuranos\" \/>\n<meta name=\"twitter:label1\" content=\"Escrito por\" \/>\n\t<meta name=\"twitter:data1\" content=\"giorgio.reveco\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tiempo de lectura\" \/>\n\t<meta name=\"twitter:data2\" content=\"5 minutos\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/ru\\\/%d1%83%d1%80%d0%b0%d0%b2%d0%bd%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bf%d1%80%d1%8f%d0%bc%d0%be%d0%b9-%d0%b8-%d0%b4%d0%b5%d0%ba%d0%b0%d1%80%d1%82%d0%be%d0%b2%d1%8b%d0%b5-%d1%81%d0%b8%d1%81%d1%82%d0%b5%d0%bc\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/ru\\\/%d1%83%d1%80%d0%b0%d0%b2%d0%bd%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bf%d1%80%d1%8f%d0%bc%d0%be%d0%b9-%d0%b8-%d0%b4%d0%b5%d0%ba%d0%b0%d1%80%d1%82%d0%be%d0%b2%d1%8b%d0%b5-%d1%81%d0%b8%d1%81%d1%82%d0%b5%d0%bc\\\/\"},\"author\":{\"name\":\"giorgio.reveco\",\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/#\\\/schema\\\/person\\\/e15164361c3f9a2a02cf6c234cf7fdc1\"},\"headline\":\"\u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043f\u0440\u044f\u043c\u043e\u0439 \u0438 \u0434\u0435\u043a\u0430\u0440\u0442\u043e\u0432\u044b\u0435 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\",\"datePublished\":\"2021-04-20T13:00:27+00:00\",\"dateModified\":\"2024-09-22T02:09:16+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/ru\\\/%d1%83%d1%80%d0%b0%d0%b2%d0%bd%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bf%d1%80%d1%8f%d0%bc%d0%be%d0%b9-%d0%b8-%d0%b4%d0%b5%d0%ba%d0%b0%d1%80%d1%82%d0%be%d0%b2%d1%8b%d0%b5-%d1%81%d0%b8%d1%81%d1%82%d0%b5%d0%bc\\\/\"},\"wordCount\":902,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/#organization\"},\"image\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/ru\\\/%d1%83%d1%80%d0%b0%d0%b2%d0%bd%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bf%d1%80%d1%8f%d0%bc%d0%be%d0%b9-%d0%b8-%d0%b4%d0%b5%d0%ba%d0%b0%d1%80%d1%82%d0%be%d0%b2%d1%8b%d0%b5-%d1%81%d0%b8%d1%81%d1%82%d0%b5%d0%bc\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2024\\\/09\\\/recta.jpg\",\"articleSection\":[\"\u0410\u043b\u0433\u0435\u0431\u0440\u0430 \u0438 \u0413\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u044f\",\"\u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430\"],\"inLanguage\":\"es\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\\\/\\\/toposuranos.com\\\/material\\\/ru\\\/%d1%83%d1%80%d0%b0%d0%b2%d0%bd%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bf%d1%80%d1%8f%d0%bc%d0%be%d0%b9-%d0%b8-%d0%b4%d0%b5%d0%ba%d0%b0%d1%80%d1%82%d0%be%d0%b2%d1%8b%d0%b5-%d1%81%d0%b8%d1%81%d1%82%d0%b5%d0%bc\\\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/ru\\\/%d1%83%d1%80%d0%b0%d0%b2%d0%bd%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bf%d1%80%d1%8f%d0%bc%d0%be%d0%b9-%d0%b8-%d0%b4%d0%b5%d0%ba%d0%b0%d1%80%d1%82%d0%be%d0%b2%d1%8b%d0%b5-%d1%81%d0%b8%d1%81%d1%82%d0%b5%d0%bc\\\/\",\"url\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/ru\\\/%d1%83%d1%80%d0%b0%d0%b2%d0%bd%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bf%d1%80%d1%8f%d0%bc%d0%be%d0%b9-%d0%b8-%d0%b4%d0%b5%d0%ba%d0%b0%d1%80%d1%82%d0%be%d0%b2%d1%8b%d0%b5-%d1%81%d0%b8%d1%81%d1%82%d0%b5%d0%bc\\\/\",\"name\":\"\u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043f\u0440\u044f\u043c\u043e\u0439 \u0438 \u0434\u0435\u043a\u0430\u0440\u0442\u043e\u0432\u044b\u0435 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442 - toposuranos.com\\\/material\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/ru\\\/%d1%83%d1%80%d0%b0%d0%b2%d0%bd%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bf%d1%80%d1%8f%d0%bc%d0%be%d0%b9-%d0%b8-%d0%b4%d0%b5%d0%ba%d0%b0%d1%80%d1%82%d0%be%d0%b2%d1%8b%d0%b5-%d1%81%d0%b8%d1%81%d1%82%d0%b5%d0%bc\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/ru\\\/%d1%83%d1%80%d0%b0%d0%b2%d0%bd%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bf%d1%80%d1%8f%d0%bc%d0%be%d0%b9-%d0%b8-%d0%b4%d0%b5%d0%ba%d0%b0%d1%80%d1%82%d0%be%d0%b2%d1%8b%d0%b5-%d1%81%d0%b8%d1%81%d1%82%d0%b5%d0%bc\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2024\\\/09\\\/recta.jpg\",\"datePublished\":\"2021-04-20T13:00:27+00:00\",\"dateModified\":\"2024-09-22T02:09:16+00:00\",\"description\":\"\u0418\u0437\u0443\u0447\u0438\u0442\u0435 \u043e\u0441\u043d\u043e\u0432\u044b \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043f\u0440\u044f\u043c\u043e\u0439 \u0438 \u0434\u0435\u043a\u0430\u0440\u0442\u043e\u0432\u044b\u0445 \u0441\u0438\u0441\u0442\u0435\u043c \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442. \u0423\u0437\u043d\u0430\u0439\u0442\u0435, \u043a\u0430\u043a \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0442\u044c \u0438 \u0441\u0442\u0440\u043e\u0438\u0442\u044c \u0433\u0440\u0430\u0444\u0438\u043a\u0438 \u043f\u0440\u044f\u043c\u044b\u0445, \u0440\u0435\u0448\u0430\u0442\u044c \u0437\u0430\u0434\u0430\u0447\u0438.\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/ru\\\/%d1%83%d1%80%d0%b0%d0%b2%d0%bd%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bf%d1%80%d1%8f%d0%bc%d0%be%d0%b9-%d0%b8-%d0%b4%d0%b5%d0%ba%d0%b0%d1%80%d1%82%d0%be%d0%b2%d1%8b%d0%b5-%d1%81%d0%b8%d1%81%d1%82%d0%b5%d0%bc\\\/#breadcrumb\"},\"inLanguage\":\"es\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/toposuranos.com\\\/material\\\/ru\\\/%d1%83%d1%80%d0%b0%d0%b2%d0%bd%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bf%d1%80%d1%8f%d0%bc%d0%be%d0%b9-%d0%b8-%d0%b4%d0%b5%d0%ba%d0%b0%d1%80%d1%82%d0%be%d0%b2%d1%8b%d0%b5-%d1%81%d0%b8%d1%81%d1%82%d0%b5%d0%bc\\\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"es\",\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/ru\\\/%d1%83%d1%80%d0%b0%d0%b2%d0%bd%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bf%d1%80%d1%8f%d0%bc%d0%be%d0%b9-%d0%b8-%d0%b4%d0%b5%d0%ba%d0%b0%d1%80%d1%82%d0%be%d0%b2%d1%8b%d0%b5-%d1%81%d0%b8%d1%81%d1%82%d0%b5%d0%bc\\\/#primaryimage\",\"url\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2024\\\/09\\\/recta.jpg\",\"contentUrl\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2024\\\/09\\\/recta.jpg\",\"width\":1792,\"height\":1024},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/ru\\\/%d1%83%d1%80%d0%b0%d0%b2%d0%bd%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bf%d1%80%d1%8f%d0%bc%d0%be%d0%b9-%d0%b8-%d0%b4%d0%b5%d0%ba%d0%b0%d1%80%d1%82%d0%be%d0%b2%d1%8b%d0%b5-%d1%81%d0%b8%d1%81%d1%82%d0%b5%d0%bc\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Portada\",\"item\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/es\\\/cursos-de-matematica-y-fisica\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043f\u0440\u044f\u043c\u043e\u0439 \u0438 \u0434\u0435\u043a\u0430\u0440\u0442\u043e\u0432\u044b\u0435 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/#website\",\"url\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/\",\"name\":\"toposuranos.com\\\/material\",\"description\":\"\",\"publisher\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"es\"},{\"@type\":\"Organization\",\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/#organization\",\"name\":\"toposuranos.com\\\/material\",\"url\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"es\",\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/#\\\/schema\\\/logo\\\/image\\\/\",\"url\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2023\\\/10\\\/logo.png\",\"contentUrl\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2023\\\/10\\\/logo.png\",\"width\":2400,\"height\":2059,\"caption\":\"toposuranos.com\\\/material\"},\"image\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/#\\\/schema\\\/logo\\\/image\\\/\"},\"sameAs\":[\"https:\\\/\\\/www.facebook.com\\\/groups\\\/toposuranos\",\"https:\\\/\\\/x.com\\\/topuranos\",\"https:\\\/\\\/www.youtube.com\\\/channel\\\/UC16yDm12cPcrwsE0fAM7X1g\",\"https:\\\/\\\/www.linkedin.com\\\/company\\\/69429190\"]},{\"@type\":\"Person\",\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/#\\\/schema\\\/person\\\/e15164361c3f9a2a02cf6c234cf7fdc1\",\"name\":\"giorgio.reveco\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"es\",\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2023\\\/10\\\/1694478625378-96x96.jpeg\",\"url\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2023\\\/10\\\/1694478625378-96x96.jpeg\",\"contentUrl\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2023\\\/10\\\/1694478625378-96x96.jpeg\",\"caption\":\"giorgio.reveco\"},\"description\":\"Soy Licenciado en F\u00edsica, Magister en Ingenier\u00eda Industrial y Docente Universitario. Me dedico a desmitificar la f\u00edsica y las matem\u00e1ticas. Mi objetivo es hacer que estos campos sean f\u00e1cilmente comprensibles para todos, proporcionando las herramientas para explorar no solo el mundo que nos rodea, sino tambi\u00e9n las profundidades de nuestra propia existencia y el orden natural que nos conecta con el cosmos.\",\"sameAs\":[\"http:\\\/\\\/toposuranos.com\\\/material\"],\"url\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/author\\\/giorgio-reveco\\\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043f\u0440\u044f\u043c\u043e\u0439 \u0438 \u0434\u0435\u043a\u0430\u0440\u0442\u043e\u0432\u044b\u0435 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442 - toposuranos.com\/material","description":"\u0418\u0437\u0443\u0447\u0438\u0442\u0435 \u043e\u0441\u043d\u043e\u0432\u044b \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043f\u0440\u044f\u043c\u043e\u0439 \u0438 \u0434\u0435\u043a\u0430\u0440\u0442\u043e\u0432\u044b\u0445 \u0441\u0438\u0441\u0442\u0435\u043c \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442. \u0423\u0437\u043d\u0430\u0439\u0442\u0435, \u043a\u0430\u043a \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0442\u044c \u0438 \u0441\u0442\u0440\u043e\u0438\u0442\u044c \u0433\u0440\u0430\u0444\u0438\u043a\u0438 \u043f\u0440\u044f\u043c\u044b\u0445, \u0440\u0435\u0448\u0430\u0442\u044c \u0437\u0430\u0434\u0430\u0447\u0438.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/toposuranos.com\/material\/ru\/\u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435-\u043f\u0440\u044f\u043c\u043e\u0439-\u0438-\u0434\u0435\u043a\u0430\u0440\u0442\u043e\u0432\u044b\u0435-\u0441\u0438\u0441\u0442\u0435\u043c\/","og_locale":"es_ES","og_type":"article","og_title":"\u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043f\u0440\u044f\u043c\u043e\u0439 \u0438 \u0434\u0435\u043a\u0430\u0440\u0442\u043e\u0432\u044b\u0435 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442","og_description":"\u0418\u0437\u0443\u0447\u0438\u0442\u0435 \u043e\u0441\u043d\u043e\u0432\u044b \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043f\u0440\u044f\u043c\u043e\u0439 \u0438 \u0434\u0435\u043a\u0430\u0440\u0442\u043e\u0432\u044b\u0445 \u0441\u0438\u0441\u0442\u0435\u043c \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442. \u0423\u0437\u043d\u0430\u0439\u0442\u0435, \u043a\u0430\u043a \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0442\u044c \u0438 \u0441\u0442\u0440\u043e\u0438\u0442\u044c \u0433\u0440\u0430\u0444\u0438\u043a\u0438 \u043f\u0440\u044f\u043c\u044b\u0445, \u0440\u0435\u0448\u0430\u0442\u044c \u0437\u0430\u0434\u0430\u0447\u0438.","og_url":"https:\/\/toposuranos.com\/material\/ru\/\u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435-\u043f\u0440\u044f\u043c\u043e\u0439-\u0438-\u0434\u0435\u043a\u0430\u0440\u0442\u043e\u0432\u044b\u0435-\u0441\u0438\u0441\u0442\u0435\u043c\/","og_site_name":"toposuranos.com\/material","article_publisher":"https:\/\/www.facebook.com\/groups\/toposuranos","article_published_time":"2021-04-20T13:00:27+00:00","article_modified_time":"2024-09-22T02:09:16+00:00","og_image":[{"url":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/09\/recta-1024x585.jpg","type":"","width":"","height":""}],"author":"giorgio.reveco","twitter_card":"summary_large_image","twitter_title":"\u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043f\u0440\u044f\u043c\u043e\u0439 \u0438 \u0434\u0435\u043a\u0430\u0440\u0442\u043e\u0432\u044b\u0435 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442","twitter_description":"\u0418\u0437\u0443\u0447\u0438\u0442\u0435 \u043e\u0441\u043d\u043e\u0432\u044b \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043f\u0440\u044f\u043c\u043e\u0439 \u0438 \u0434\u0435\u043a\u0430\u0440\u0442\u043e\u0432\u044b\u0445 \u0441\u0438\u0441\u0442\u0435\u043c \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442. \u0423\u0437\u043d\u0430\u0439\u0442\u0435, \u043a\u0430\u043a \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0442\u044c \u0438 \u0441\u0442\u0440\u043e\u0438\u0442\u044c \u0433\u0440\u0430\u0444\u0438\u043a\u0438 \u043f\u0440\u044f\u043c\u044b\u0445, \u0440\u0435\u0448\u0430\u0442\u044c \u0437\u0430\u0434\u0430\u0447\u0438.","twitter_image":"https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/09\/recta.jpg","twitter_creator":"@topuranos","twitter_site":"@topuranos","twitter_misc":{"Escrito por":"giorgio.reveco","Tiempo de lectura":"5 minutos"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/toposuranos.com\/material\/ru\/%d1%83%d1%80%d0%b0%d0%b2%d0%bd%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bf%d1%80%d1%8f%d0%bc%d0%be%d0%b9-%d0%b8-%d0%b4%d0%b5%d0%ba%d0%b0%d1%80%d1%82%d0%be%d0%b2%d1%8b%d0%b5-%d1%81%d0%b8%d1%81%d1%82%d0%b5%d0%bc\/#article","isPartOf":{"@id":"https:\/\/toposuranos.com\/material\/ru\/%d1%83%d1%80%d0%b0%d0%b2%d0%bd%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bf%d1%80%d1%8f%d0%bc%d0%be%d0%b9-%d0%b8-%d0%b4%d0%b5%d0%ba%d0%b0%d1%80%d1%82%d0%be%d0%b2%d1%8b%d0%b5-%d1%81%d0%b8%d1%81%d1%82%d0%b5%d0%bc\/"},"author":{"name":"giorgio.reveco","@id":"https:\/\/toposuranos.com\/material\/#\/schema\/person\/e15164361c3f9a2a02cf6c234cf7fdc1"},"headline":"\u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043f\u0440\u044f\u043c\u043e\u0439 \u0438 \u0434\u0435\u043a\u0430\u0440\u0442\u043e\u0432\u044b\u0435 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442","datePublished":"2021-04-20T13:00:27+00:00","dateModified":"2024-09-22T02:09:16+00:00","mainEntityOfPage":{"@id":"https:\/\/toposuranos.com\/material\/ru\/%d1%83%d1%80%d0%b0%d0%b2%d0%bd%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bf%d1%80%d1%8f%d0%bc%d0%be%d0%b9-%d0%b8-%d0%b4%d0%b5%d0%ba%d0%b0%d1%80%d1%82%d0%be%d0%b2%d1%8b%d0%b5-%d1%81%d0%b8%d1%81%d1%82%d0%b5%d0%bc\/"},"wordCount":902,"commentCount":0,"publisher":{"@id":"https:\/\/toposuranos.com\/material\/#organization"},"image":{"@id":"https:\/\/toposuranos.com\/material\/ru\/%d1%83%d1%80%d0%b0%d0%b2%d0%bd%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bf%d1%80%d1%8f%d0%bc%d0%be%d0%b9-%d0%b8-%d0%b4%d0%b5%d0%ba%d0%b0%d1%80%d1%82%d0%be%d0%b2%d1%8b%d0%b5-%d1%81%d0%b8%d1%81%d1%82%d0%b5%d0%bc\/#primaryimage"},"thumbnailUrl":"https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/09\/recta.jpg","articleSection":["\u0410\u043b\u0433\u0435\u0431\u0440\u0430 \u0438 \u0413\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u044f","\u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430"],"inLanguage":"es","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/toposuranos.com\/material\/ru\/%d1%83%d1%80%d0%b0%d0%b2%d0%bd%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bf%d1%80%d1%8f%d0%bc%d0%be%d0%b9-%d0%b8-%d0%b4%d0%b5%d0%ba%d0%b0%d1%80%d1%82%d0%be%d0%b2%d1%8b%d0%b5-%d1%81%d0%b8%d1%81%d1%82%d0%b5%d0%bc\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/toposuranos.com\/material\/ru\/%d1%83%d1%80%d0%b0%d0%b2%d0%bd%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bf%d1%80%d1%8f%d0%bc%d0%be%d0%b9-%d0%b8-%d0%b4%d0%b5%d0%ba%d0%b0%d1%80%d1%82%d0%be%d0%b2%d1%8b%d0%b5-%d1%81%d0%b8%d1%81%d1%82%d0%b5%d0%bc\/","url":"https:\/\/toposuranos.com\/material\/ru\/%d1%83%d1%80%d0%b0%d0%b2%d0%bd%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bf%d1%80%d1%8f%d0%bc%d0%be%d0%b9-%d0%b8-%d0%b4%d0%b5%d0%ba%d0%b0%d1%80%d1%82%d0%be%d0%b2%d1%8b%d0%b5-%d1%81%d0%b8%d1%81%d1%82%d0%b5%d0%bc\/","name":"\u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043f\u0440\u044f\u043c\u043e\u0439 \u0438 \u0434\u0435\u043a\u0430\u0440\u0442\u043e\u0432\u044b\u0435 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442 - toposuranos.com\/material","isPartOf":{"@id":"https:\/\/toposuranos.com\/material\/#website"},"primaryImageOfPage":{"@id":"https:\/\/toposuranos.com\/material\/ru\/%d1%83%d1%80%d0%b0%d0%b2%d0%bd%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bf%d1%80%d1%8f%d0%bc%d0%be%d0%b9-%d0%b8-%d0%b4%d0%b5%d0%ba%d0%b0%d1%80%d1%82%d0%be%d0%b2%d1%8b%d0%b5-%d1%81%d0%b8%d1%81%d1%82%d0%b5%d0%bc\/#primaryimage"},"image":{"@id":"https:\/\/toposuranos.com\/material\/ru\/%d1%83%d1%80%d0%b0%d0%b2%d0%bd%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bf%d1%80%d1%8f%d0%bc%d0%be%d0%b9-%d0%b8-%d0%b4%d0%b5%d0%ba%d0%b0%d1%80%d1%82%d0%be%d0%b2%d1%8b%d0%b5-%d1%81%d0%b8%d1%81%d1%82%d0%b5%d0%bc\/#primaryimage"},"thumbnailUrl":"https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/09\/recta.jpg","datePublished":"2021-04-20T13:00:27+00:00","dateModified":"2024-09-22T02:09:16+00:00","description":"\u0418\u0437\u0443\u0447\u0438\u0442\u0435 \u043e\u0441\u043d\u043e\u0432\u044b \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043f\u0440\u044f\u043c\u043e\u0439 \u0438 \u0434\u0435\u043a\u0430\u0440\u0442\u043e\u0432\u044b\u0445 \u0441\u0438\u0441\u0442\u0435\u043c \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442. \u0423\u0437\u043d\u0430\u0439\u0442\u0435, \u043a\u0430\u043a \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0442\u044c \u0438 \u0441\u0442\u0440\u043e\u0438\u0442\u044c \u0433\u0440\u0430\u0444\u0438\u043a\u0438 \u043f\u0440\u044f\u043c\u044b\u0445, \u0440\u0435\u0448\u0430\u0442\u044c \u0437\u0430\u0434\u0430\u0447\u0438.","breadcrumb":{"@id":"https:\/\/toposuranos.com\/material\/ru\/%d1%83%d1%80%d0%b0%d0%b2%d0%bd%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bf%d1%80%d1%8f%d0%bc%d0%be%d0%b9-%d0%b8-%d0%b4%d0%b5%d0%ba%d0%b0%d1%80%d1%82%d0%be%d0%b2%d1%8b%d0%b5-%d1%81%d0%b8%d1%81%d1%82%d0%b5%d0%bc\/#breadcrumb"},"inLanguage":"es","potentialAction":[{"@type":"ReadAction","target":["https:\/\/toposuranos.com\/material\/ru\/%d1%83%d1%80%d0%b0%d0%b2%d0%bd%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bf%d1%80%d1%8f%d0%bc%d0%be%d0%b9-%d0%b8-%d0%b4%d0%b5%d0%ba%d0%b0%d1%80%d1%82%d0%be%d0%b2%d1%8b%d0%b5-%d1%81%d0%b8%d1%81%d1%82%d0%b5%d0%bc\/"]}]},{"@type":"ImageObject","inLanguage":"es","@id":"https:\/\/toposuranos.com\/material\/ru\/%d1%83%d1%80%d0%b0%d0%b2%d0%bd%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bf%d1%80%d1%8f%d0%bc%d0%be%d0%b9-%d0%b8-%d0%b4%d0%b5%d0%ba%d0%b0%d1%80%d1%82%d0%be%d0%b2%d1%8b%d0%b5-%d1%81%d0%b8%d1%81%d1%82%d0%b5%d0%bc\/#primaryimage","url":"https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/09\/recta.jpg","contentUrl":"https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/09\/recta.jpg","width":1792,"height":1024},{"@type":"BreadcrumbList","@id":"https:\/\/toposuranos.com\/material\/ru\/%d1%83%d1%80%d0%b0%d0%b2%d0%bd%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bf%d1%80%d1%8f%d0%bc%d0%be%d0%b9-%d0%b8-%d0%b4%d0%b5%d0%ba%d0%b0%d1%80%d1%82%d0%be%d0%b2%d1%8b%d0%b5-%d1%81%d0%b8%d1%81%d1%82%d0%b5%d0%bc\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Portada","item":"http:\/\/toposuranos.com\/material\/es\/cursos-de-matematica-y-fisica\/"},{"@type":"ListItem","position":2,"name":"\u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043f\u0440\u044f\u043c\u043e\u0439 \u0438 \u0434\u0435\u043a\u0430\u0440\u0442\u043e\u0432\u044b\u0435 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442"}]},{"@type":"WebSite","@id":"https:\/\/toposuranos.com\/material\/#website","url":"https:\/\/toposuranos.com\/material\/","name":"toposuranos.com\/material","description":"","publisher":{"@id":"https:\/\/toposuranos.com\/material\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/toposuranos.com\/material\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"es"},{"@type":"Organization","@id":"https:\/\/toposuranos.com\/material\/#organization","name":"toposuranos.com\/material","url":"https:\/\/toposuranos.com\/material\/","logo":{"@type":"ImageObject","inLanguage":"es","@id":"https:\/\/toposuranos.com\/material\/#\/schema\/logo\/image\/","url":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/logo.png","contentUrl":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/logo.png","width":2400,"height":2059,"caption":"toposuranos.com\/material"},"image":{"@id":"https:\/\/toposuranos.com\/material\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/www.facebook.com\/groups\/toposuranos","https:\/\/x.com\/topuranos","https:\/\/www.youtube.com\/channel\/UC16yDm12cPcrwsE0fAM7X1g","https:\/\/www.linkedin.com\/company\/69429190"]},{"@type":"Person","@id":"https:\/\/toposuranos.com\/material\/#\/schema\/person\/e15164361c3f9a2a02cf6c234cf7fdc1","name":"giorgio.reveco","image":{"@type":"ImageObject","inLanguage":"es","@id":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/1694478625378-96x96.jpeg","url":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/1694478625378-96x96.jpeg","contentUrl":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/1694478625378-96x96.jpeg","caption":"giorgio.reveco"},"description":"Soy Licenciado en F\u00edsica, Magister en Ingenier\u00eda Industrial y Docente Universitario. Me dedico a desmitificar la f\u00edsica y las matem\u00e1ticas. Mi objetivo es hacer que estos campos sean f\u00e1cilmente comprensibles para todos, proporcionando las herramientas para explorar no solo el mundo que nos rodea, sino tambi\u00e9n las profundidades de nuestra propia existencia y el orden natural que nos conecta con el cosmos.","sameAs":["http:\/\/toposuranos.com\/material"],"url":"https:\/\/toposuranos.com\/material\/author\/giorgio-reveco\/"}]}},"_links":{"self":[{"href":"https:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/posts\/28875","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/comments?post=28875"}],"version-history":[{"count":0,"href":"https:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/posts\/28875\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/media\/28865"}],"wp:attachment":[{"href":"https:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/media?parent=28875"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/categories?post=28875"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/tags?post=28875"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}