{"id":28971,"date":"2021-04-28T13:00:20","date_gmt":"2021-04-28T13:00:20","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=28971"},"modified":"2024-09-22T02:01:50","modified_gmt":"2024-09-22T02:01:50","slug":"%d1%83%d1%80%d0%b0%d0%b2%d0%bd%d0%b5%d0%bd%d0%b8%d0%b5-%d1%8d%d0%bb%d0%bb%d0%b8%d0%bf%d1%81%d0%be%d0%b2-%d0%b8-%d0%be%d0%ba%d1%80%d1%83%d0%b6%d0%bd%d0%be%d1%81%d1%82%d0%b5%d0%b9","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-%d1%8d%d0%bb%d0%bb%d0%b8%d0%bf%d1%81%d0%be%d0%b2-%d0%b8-%d0%be%d0%ba%d1%80%d1%83%d0%b6%d0%bd%d0%be%d1%81%d1%82%d0%b5%d0%b9\/","title":{"rendered":"\u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u044d\u043b\u043b\u0438\u043f\u0441\u043e\u0432 \u0438 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0435\u0439"},"content":{"rendered":"<p><center><\/p>\n<h1>\u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u044d\u043b\u043b\u0438\u043f\u0441\u043e\u0432 \u0438 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0435\u0439<\/h1>\n<p><em><strong>\u0420\u0435\u0437\u044e\u043c\u0435:<\/strong><br \/>\n   \u0412 \u044d\u0442\u043e\u043c \u0443\u0440\u043e\u043a\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u0442\u0441\u044f \u0432\u044b\u0432\u043e\u0434 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u044d\u043b\u043b\u0438\u043f\u0441\u043e\u0432, \u0438\u0441\u0445\u043e\u0434\u044f \u0438\u0437 \u0438\u0445 \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f, \u043a\u043e\u0442\u043e\u0440\u043e\u0435 \u0433\u043b\u0430\u0441\u0438\u0442, \u0447\u0442\u043e \u0441\u0443\u043c\u043c\u0430 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0439 \u043e\u0442 \u043b\u044e\u0431\u043e\u0439 \u0442\u043e\u0447\u043a\u0438 \u043d\u0430 \u044d\u043b\u043b\u0438\u043f\u0441\u0435 \u0434\u043e \u0434\u0432\u0443\u0445 \u0444\u0438\u043a\u0441\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u044b\u0445 \u0444\u043e\u043a\u0443\u0441\u043e\u0432 \u043f\u043e\u0441\u0442\u043e\u044f\u043d\u043d\u0430. \u0427\u0435\u0440\u0435\u0437 \u0434\u0435\u0442\u0430\u043b\u0438\u0437\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u043e\u0435 \u0430\u043b\u0433\u0435\u0431\u0440\u0430\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u0440\u0430\u0437\u0432\u0438\u0442\u0438\u0435 \u0432\u044b\u0432\u043e\u0434\u0438\u0442\u0441\u044f \u043e\u0431\u0449\u0435\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u044d\u043b\u043b\u0438\u043f\u0441\u043e\u0432 \u0438 \u0438\u0445 \u043a\u0430\u043d\u043e\u043d\u0438\u0447\u0435\u0441\u043a\u0430\u044f \u0444\u043e\u0440\u043c\u0430, \u0430 \u0442\u0430\u043a\u0436\u0435 \u0443\u0441\u0442\u0430\u043d\u0430\u0432\u043b\u0438\u0432\u0430\u0435\u0442\u0441\u044f \u0441\u0432\u044f\u0437\u044c \u043c\u0435\u0436\u0434\u0443 \u044d\u043b\u043b\u0438\u043f\u0441\u0430\u043c\u0438 \u0438 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u044f\u043c\u0438, \u043f\u043e\u043a\u0430\u0437\u044b\u0432\u0430\u044f, \u0447\u0442\u043e \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u044c \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0447\u0430\u0441\u0442\u043d\u044b\u043c \u0441\u043b\u0443\u0447\u0430\u0435\u043c \u044d\u043b\u043b\u0438\u043f\u0441\u0430, \u043a\u043e\u0433\u0434\u0430 \u043f\u043e\u043b\u0443\u043e\u0441\u0438 \u0440\u0430\u0432\u043d\u044b.<br \/>\n   <\/em><\/p>\n<p>   <strong>\u0423\u0447\u0435\u0431\u043d\u044b\u0435 \u0446\u0435\u043b\u0438:<\/strong><br \/>\n   \u0412 \u043a\u043e\u043d\u0446\u0435 \u044d\u0442\u043e\u0433\u043e \u0443\u0440\u043e\u043a\u0430 \u0441\u0442\u0443\u0434\u0435\u043d\u0442 \u0441\u043c\u043e\u0436\u0435\u0442:<\/p>\n<ol style=\"text-align:left;\">\n<li><strong>\u0412\u044b\u0432\u0435\u0441\u0442\u0438<\/strong> \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u044d\u043b\u043b\u0438\u043f\u0441\u043e\u0432, \u0438\u0441\u0445\u043e\u0434\u044f \u0438\u0437 \u0438\u0445 \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f.<\/li>\n<li><strong>\u0420\u0430\u0441\u043f\u043e\u0437\u043d\u0430\u0442\u044c<\/strong> \u043e\u0431\u0449\u0443\u044e \u0444\u043e\u0440\u043c\u0443 \u0438 \u043a\u0430\u043d\u043e\u043d\u0438\u0447\u0435\u0441\u043a\u0443\u044e \u0444\u043e\u0440\u043c\u0443 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u044d\u043b\u043b\u0438\u043f\u0441\u043e\u0432.<\/li>\n<\/ol>\n<p>   \u0421\u041e\u0414\u0415\u0420\u0416\u0410\u041d\u0418\u0415<br \/>\n   <a href=\"#1\">\u0413\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0430\u044f \u0444\u043e\u0440\u043c\u0443\u043b\u0438\u0440\u043e\u0432\u043a\u0430<\/a><br \/>\n   <a href=\"#2\">\u0412\u044b\u0432\u043e\u0434 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u044d\u043b\u043b\u0438\u043f\u0441\u043e\u0432<\/a><br \/>\n   <a href=\"#3\">\u041e\u0431\u0449\u0435\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u044d\u043b\u043b\u0438\u043f\u0441\u043e\u0432<\/a><br \/>\n   <a href=\"#4\">\u041a\u0430\u043d\u043e\u043d\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u044d\u043b\u043b\u0438\u043f\u0441\u043e\u0432<\/a><br \/>\n   <a href=\"#5\">\u0420\u0435\u0434\u0443\u043a\u0446\u0438\u044f \u043a \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044e \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0435\u0439<\/a>\n   <\/p>\n<p>   <\/center><\/p>\n<p>   <center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/HHiC0bp-Vyc\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/center><br \/>\n   <a name=\"1\"><\/a><\/p>\n<h2>\u0413\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0430\u044f \u0444\u043e\u0440\u043c\u0443\u043b\u0438\u0440\u043e\u0432\u043a\u0430<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=HHiC0bp-Vyc&amp;t=133s\" target=\"_blank\" rel=\"noopener\"><strong>\u0427\u0442\u043e\u0431\u044b \u043f\u043e\u043b\u0443\u0447\u0438\u0442\u044c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435, \u043e\u043f\u0438\u0441\u044b\u0432\u0430\u044e\u0449\u0435\u0435 \u044d\u043b\u043b\u0438\u043f\u0441\u044b,<\/strong> <\/a> \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0440\u0430\u0441\u0441\u0443\u0436\u0434\u0430\u0442\u044c \u0442\u0430\u043a \u0436\u0435, \u043a\u0430\u043a \u0438 \u043f\u0440\u0438 \u0440\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0435\u043d\u0438\u0438 <a href=\"https:\/\/toposuranos.com\/la-ecuacion-de-las-parabolas-definiciones-y-propiedades\/\" rel=\"noopener\" target=\"_blank\">\u043f\u0430\u0440\u0430\u0431\u043e\u043b.<\/a> \u042d\u043b\u043b\u0438\u043f\u0441 \u2014 \u044d\u0442\u043e \u043c\u043d\u043e\u0436\u0435\u0441\u0442\u0432\u043e \u0432\u0441\u0435\u0445 \u0442\u043e\u0447\u0435\u043a \u043d\u0430 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438, \u0442\u0430\u043a\u0438\u0445 \u0447\u0442\u043e \u0441\u0443\u043c\u043c\u0430 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0439 \u043c\u0435\u0436\u0434\u0443 \u043d\u0438\u043c\u0438 \u0438 \u0434\u0432\u0443\u043c\u044f \u0442\u043e\u0447\u043a\u0430\u043c\u0438, \u043d\u0430\u0437\u044b\u0432\u0430\u0435\u043c\u044b\u043c\u0438 \u0444\u043e\u043a\u0443\u0441\u0430\u043c\u0438, \u0432\u0441\u0435\u0433\u0434\u0430 \u043e\u0441\u0442\u0430\u0451\u0442\u0441\u044f \u043f\u043e\u0441\u0442\u043e\u044f\u043d\u043d\u043e\u0439.<\/p>\n<p>   <img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-rHroj77w4-o\/YIhoGfTvE_I\/AAAAAAAAFAw\/2Yoa3Q2yrmknQMPObDz8wuyDoOehCug5QCLcBGAsYHQ\/s0\/elipse.PNG\" alt=\"\u042d\u043b\u043b\u0438\u043f\u0441\" class=\" aligncenter lazyload\" width=\"338\" height=\"241\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-rHroj77w4-o\/YIhoGfTvE_I\/AAAAAAAAFAw\/2Yoa3Q2yrmknQMPObDz8wuyDoOehCug5QCLcBGAsYHQ\/s0\/elipse.PNG\" alt=\"\u042d\u043b\u043b\u0438\u043f\u0441\" class=\" aligncenter lazyload\" width=\"338\" height=\"241\" \/><\/noscript><\/p>\n<p style=\"text-align: justify;\">\u0422\u043e \u0435\u0441\u0442\u044c \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u0435\u0442\u0441\u044f \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435 \u0443\u0441\u043b\u043e\u0432\u0438\u0435:<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">d(f_1,p) + d(f_2,p) = \u043a\u043e\u043d\u0441\u0442\u0430\u043d\u0442\u0430<\/span>\n<p>   <a name=\"2\"><\/a><\/p>\n<h2>\u0412\u044b\u0432\u043e\u0434 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u044d\u043b\u043b\u0438\u043f\u0441\u043e\u0432<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=HHiC0bp-Vyc&amp;t=311s\" target=\"_blank\" rel=\"noopener\"><strong>\u0418\u0441\u0445\u043e\u0434\u044f \u0438\u0437 \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f<\/strong><\/a> \u044d\u043b\u043b\u0438\u043f\u0441\u043e\u0432, \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0432\u044b\u0432\u0435\u0441\u0442\u0438 \u0430\u043b\u0433\u0435\u0431\u0440\u0430\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435, \u043a\u043e\u0442\u043e\u0440\u043e\u0435 \u0438\u0445 \u043e\u043f\u0438\u0441\u044b\u0432\u0430\u0435\u0442. \u0414\u043b\u044f \u0443\u043f\u0440\u043e\u0449\u0435\u043d\u0438\u044f \u0437\u0430\u0434\u0430\u0447\u0438 \u043c\u044b \u043f\u0440\u0435\u0434\u043f\u043e\u043b\u043e\u0436\u0438\u043c, \u0447\u0442\u043e \u0444\u043e\u043a\u0443\u0441\u044b \u043d\u0430\u0445\u043e\u0434\u044f\u0442\u0441\u044f \u0432 \u0442\u043e\u0447\u043a\u0430\u0445 <span class=\"katex-eq\" data-katex-display=\"false\">f_1 =(-c,0)<\/span> \u0438 <span class=\"katex-eq\" data-katex-display=\"false\">f_2 =(c,0),<\/span> \u0438 \u0435\u0441\u043b\u0438 \u0442\u043e\u0447\u043a\u0430 <span class=\"katex-eq\" data-katex-display=\"false\">p=(x,y)<\/span> \u043b\u0435\u0436\u0438\u0442 \u043d\u0430 \u044d\u043b\u043b\u0438\u043f\u0441\u0435, \u0442\u043e \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u0435\u0442\u0441\u044f \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435 \u0443\u0441\u043b\u043e\u0432\u0438\u0435:<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\sqrt{(x+c)^2 + y^2} + \\sqrt{(x-c)^2 + y^2} = 2a<\/span>\n<p>   <img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-LtAamnh5D78\/YIiBshjM70I\/AAAAAAAAFA4\/hGiHx6jf_nMOOUHfH-Ywj34TyDJDGEv-wCLcBGAsYHQ\/s0\/ecuacion%2Bde%2Blas%2Belipses.PNG\" alt=\"\u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u044d\u043b\u043b\u0438\u043f\u0441\u043e\u0432\" class=\" aligncenter lazyload\" width=\"412\" height=\"333\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-LtAamnh5D78\/YIiBshjM70I\/AAAAAAAAFA4\/hGiHx6jf_nMOOUHfH-Ywj34TyDJDGEv-wCLcBGAsYHQ\/s0\/ecuacion%2Bde%2Blas%2Belipses.PNG\" alt=\"\u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u044d\u043b\u043b\u0438\u043f\u0441\u043e\u0432\" class=\" aligncenter lazyload\" width=\"412\" height=\"333\" \/><\/noscript><\/p>\n<p style=\"text-align: justify;\">\u0413\u0434\u0435 <span class=\"katex-eq\" data-katex-display=\"false\">a\\in\\mathbb{R}<\/span> \u2014 \u044d\u0442\u043e \u0444\u0438\u043a\u0441\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u0430\u044f \u043a\u043e\u043d\u0441\u0442\u0430\u043d\u0442\u0430. \u0418\u0441\u0445\u043e\u0434\u044f \u0438\u0437 \u044d\u0442\u043e\u0433\u043e, \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u043f\u0440\u043e\u0432\u0435\u0441\u0442\u0438 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0439 \u0432\u044b\u0432\u043e\u0434:<\/p>\n<table style=\"text-align: justify;\">\n<tbody>\n<tr>\n<td width=\"50\">(1)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\sqrt{(x+c)^2 + y^2} + \\sqrt{(x-c)^2 + y^2} = 2a<\/span><\/td>\n<td>; \u0413\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u044d\u043b\u043b\u0438\u043f\u0441\u0430<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\sqrt{(x-c)^2 + y^2} = 2a - \\sqrt{(x+c)^2 + y^2}<\/span><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>(2)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(x-c)^2 + \\cancel{y^2} = 4a^2 -4a \\sqrt{(x+c)^2 + y^2} + (x+c)^2 + \\cancel{y^2}<\/span><\/td>\n<td>; \u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0432 \u043a\u0432\u0430\u0434\u0440\u0430\u0442 (1)<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(x-c)^2 = 4a^2 -4a \\sqrt{(x+c)^2 + y^2} + (x+c)^2 <\/span><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\cancel{x^2} -2xc + \\cancel{c^2} = 4a^2 -4a \\sqrt{(x+c)^2 + y^2} + \\cancel{x^2} +2xc + \\cancel{c^2} <\/span><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">-2xc = 4a^2 -4a \\sqrt{(x+c)^2 + y^2} +2xc <\/span><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">4a \\sqrt{(x+c)^2 + y^2} = 4a^2 +4xc = 4(a^2 + xc) <\/span><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">a \\sqrt{(x+c)^2 + y^2} = a^2 + xc <\/span><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>(3)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">a^2 [(x+c)^2 + y^2] = (a^2 + xc)^2 <\/span><\/td>\n<td>; \u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0432 \u043a\u0432\u0430\u0434\u0440\u0430\u0442 (2)<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">a^2 [x^2 + 2xc + c2 + y^2] = a^4 +2a^2xc + x^2c^2 <\/span><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\"> a^2 x^2 + \\cancel{2xca^2} + a^2 c2 + a^2 y^2 = a^4 + \\cancel{2a^2xc} + x^2c^2 <\/span><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\"> a^2 x^2 + a^2 c2 + a^2 y^2 = a^4 + x^2c^2 <\/span><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\"> x^2 (a^2 - c^2) + a^2 y^2 = a^4 - a^2 c^2 =a^2(a^2-c^2) <\/span><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\"> \\dfrac{x^2}{a^2} +\\dfrac{ y^2}{a^2-c^2} = 1 <\/span><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>(4)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">0\\lt a^2 - c^2 =: b^2 <\/span><\/td>\n<td>; \u0427\u0438\u0441\u043b\u043e, \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u043d\u043e\u0435 <span class=\"katex-eq\" data-katex-display=\"false\">b^2<\/span>, \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u043e, \u0447\u0442\u043e \u0432\u0438\u0434\u043d\u043e \u043d\u0430 \u0440\u0438\u0441\u0443\u043d\u043a\u0435.<\/td>\n<\/tr>\n<tr>\n<td>(5)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">{\\dfrac{x^2}{a^2} +\\dfrac{ y^2}{b^2} = 1}<\/span><\/td>\n<td>; \u0418\u0437 (3) \u0438 (4)<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\boxed{\\left(\\dfrac{x}{a}\\right)^2 + \\left(\\dfrac{y}{b}\\right)^2 = 1}<\/span><\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: center;\">\u042d\u0442\u043e \u0442\u043e, \u0447\u0442\u043e \u043c\u044b \u043d\u0430\u0437\u044b\u0432\u0430\u0435\u043c \u00ab\u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435\u043c \u044d\u043b\u043b\u0438\u043f\u0441\u043e\u0432\u00bb.<\/p>\n<p>   <a name=\"3\"><\/a><\/p>\n<h2>\u041e\u0431\u0449\u0435\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u044d\u043b\u043b\u0438\u043f\u0441\u043e\u0432<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=HHiC0bp-Vyc&amp;t=706s\" target=\"_blank\" rel=\"noopener\"><strong>\u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435, \u043a\u043e\u0442\u043e\u0440\u043e\u0435 \u043c\u044b \u0442\u043e\u043b\u044c\u043a\u043e \u0447\u0442\u043e \u043f\u043e\u043b\u0443\u0447\u0438\u043b\u0438,<\/strong><\/a> \u043c\u043e\u0436\u043d\u043e \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u0442\u044c \u0432 \u0435\u0433\u043e \u043e\u0431\u0449\u0443\u044e \u0444\u043e\u0440\u043c\u0443 \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u0439 \u0441\u0434\u0432\u0438\u0433\u0430, \u0437\u0430\u043c\u0435\u043d\u0438\u0432 <span class=\"katex-eq\" data-katex-display=\"false\">x\\longmapsto (x-h)<\/span> \u0438 <span class=\"katex-eq\" data-katex-display=\"false\">y\\longmapsto (y-k).<\/span> \u042d\u0442\u043e \u043f\u0440\u0438\u0432\u0435\u0434\u0451\u0442 \u043d\u0430\u0441 \u043a \u043e\u0431\u0449\u0435\u0439 \u0444\u043e\u0440\u043c\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u044d\u043b\u043b\u0438\u043f\u0441\u043e\u0432:<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\boxed{\\left(\\dfrac{x-h}{a}\\right)^2 + \\left(\\dfrac{y-k}{b}\\right)^2 = 1}<\/span>\n<p style=\"text-align: justify;\">\u042d\u0442\u043e \u044d\u043b\u043b\u0438\u043f\u0441 \u0441 \u0446\u0435\u043d\u0442\u0440\u043e\u043c \u0432 \u0442\u043e\u0447\u043a\u0435 <span class=\"katex-eq\" data-katex-display=\"false\">(h,k)<\/span>\n<p>   <img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-lkxt91FvMTs\/YIiQaL9wpII\/AAAAAAAAFBA\/sUxc6ajd6tcPymC8g4oh3M0l2CTI-xOvgCLcBGAsYHQ\/s0\/elipsegeneral.PNG\" alt=\"\u043e\u0431\u0449\u0438\u0439 \u044d\u043b\u043b\u0438\u043f\u0441\" class=\" aligncenter lazyload\" width=\"469\" height=\"373\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-lkxt91FvMTs\/YIiQaL9wpII\/AAAAAAAAFBA\/sUxc6ajd6tcPymC8g4oh3M0l2CTI-xOvgCLcBGAsYHQ\/s0\/elipsegeneral.PNG\" alt=\"\u043e\u0431\u0449\u0438\u0439 \u044d\u043b\u043b\u0438\u043f\u0441\" class=\" aligncenter lazyload\" width=\"469\" height=\"373\" \/><\/noscript><br \/>\n   <a name=\"4\"><\/a><\/p>\n<h2>\u041a\u0430\u043d\u043e\u043d\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u044d\u043b\u043b\u0438\u043f\u0441\u043e\u0432<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=HHiC0bp-Vyc&amp;t=761s\" target=\"_blank\" rel=\"noopener\"><strong>\u0412\u044b\u043f\u043e\u043b\u043d\u044f\u044f \u0430\u043b\u0433\u0435\u0431\u0440\u0430\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u044f,<\/strong><\/a> \u043c\u044b \u043f\u043e\u043b\u0443\u0447\u0430\u0435\u043c \u043a\u0430\u043d\u043e\u043d\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u044d\u043b\u043b\u0438\u043f\u0441\u043e\u0432:<\/p>\n<table style=\"text-align: justify;\">\n<tbody>\n<tr>\n<td width=\"50\">(1)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\left(\\dfrac{x-h}{a}\\right)^2 + \\left(\\dfrac{y-k}{b}\\right)^2 = 1<\/span><\/td>\n<td>; \u043e\u0431\u0449\u0435\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u044d\u043b\u043b\u0438\u043f\u0441\u043e\u0432<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">b^2 (x-h)^2 + a^2(y-k)^2 = a^2 b^2<\/span><\/td>\n<td>; \u0423\u043c\u043d\u043e\u0436\u0438\u0442\u044c \u0432\u0441\u0451 \u043d\u0430 <span class=\"katex-eq\" data-katex-display=\"false\">a^2b^2<\/span><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">b^2 [x^2-2xh+h^2] + a^2[y^2-2yk + k^2] = a^2 b^2<\/span><\/td>\n<td>; \u0440\u0430\u0441\u043a\u0440\u044b\u0442\u0438\u0435 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043e\u0432<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\"> b^2 x^2-2hb^2 x + h^2b^2 + a^2 y^2-2ka^2y + k^2a^2 = a^2 b^2<\/span><\/td>\n<td>; \u0440\u0430\u0441\u043a\u0440\u044b\u0442\u0438\u0435 \u0441\u043a\u043e\u0431\u043e\u043a<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\"> b^2 x^2- 2hb^2 x + a^2 y^2-2ka^2y +(h^2b^2 + k^2a^2 - a^2 b^2) = 0 <\/span><\/td>\n<td>; \u0433\u0440\u0443\u043f\u043f\u0438\u0440\u043e\u0432\u043a\u0430 \u043a\u043e\u043d\u0441\u0442\u0430\u043d\u0442<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">\u0412 \u044d\u0442\u043e\u043c \u043f\u043e\u0441\u043b\u0435\u0434\u043d\u0435\u043c \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0438 \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0441\u0434\u0435\u043b\u0430\u0442\u044c \u0437\u0430\u043c\u0435\u043d\u044b <span class=\"katex-eq\" data-katex-display=\"false\">A:=b^2,<\/span> <span class=\"katex-eq\" data-katex-display=\"false\">B:=-2hb^2,<\/span> <span class=\"katex-eq\" data-katex-display=\"false\">C:=a^2,<\/span> <span class=\"katex-eq\" data-katex-display=\"false\">D:=-2ka^2<\/span> \u0438 <span class=\"katex-eq\" data-katex-display=\"false\">E:=h^2b^2 + k^2a^2 - a^2 b^2.<\/span> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u044d\u043b\u043b\u0438\u043f\u0441\u043e\u0432 \u043c\u043e\u0436\u0435\u0442 \u0431\u044b\u0442\u044c \u0437\u0430\u043f\u0438\u0441\u0430\u043d\u043e \u0432 \u0432\u0438\u0434\u0435:<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">Ax^2 + Bx + Cy^2 + Dy + E = 0<\/span>\n<p style=\"text-align: justify;\">\u042d\u0442\u043e \u0442\u043e, \u0447\u0442\u043e \u043c\u044b \u043d\u0430\u0437\u044b\u0432\u0430\u0435\u043c \u00ab\u043a\u0430\u043d\u043e\u043d\u0438\u0447\u0435\u0441\u043a\u0438\u043c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435\u043c \u044d\u043b\u043b\u0438\u043f\u0441\u043e\u0432\u00bb.<\/p>\n<p style=\"text-align: justify;\">\u0418\u0437 \u044d\u0442\u0438\u0445 \u0432\u044b\u0432\u043e\u0434\u043e\u0432 \u043c\u043e\u0436\u043d\u043e \u0441\u0434\u0435\u043b\u0430\u0442\u044c \u043d\u0435\u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u043e\u0433\u0440\u0430\u043d\u0438\u0447\u0435\u043d\u0438\u044f \u0434\u043b\u044f \u043a\u043e\u043d\u0441\u0442\u0430\u043d\u0442 \u043a\u0430\u043d\u043e\u043d\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f. \u0421\u0430\u043c\u043e\u0435 \u0432\u0430\u0436\u043d\u043e\u0435 \u0437\u0430\u043a\u043b\u044e\u0447\u0430\u0435\u0442\u0441\u044f \u0432 \u0442\u043e\u043c, \u0447\u0442\u043e <span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u0438 <span class=\"katex-eq\" data-katex-display=\"false\">B<\/span> \u0434\u043e\u043b\u0436\u043d\u044b \u0438\u043c\u0435\u0442\u044c \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u044b\u0439 \u0437\u043d\u0430\u043a; \u0432 \u043f\u0440\u043e\u0442\u0438\u0432\u043d\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u043c\u044b \u0431\u0443\u0434\u0435\u043c \u0438\u043c\u0435\u0442\u044c \u0434\u0435\u043b\u043e \u0441 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u043e\u0439, \u0430 \u043d\u0435 \u0441 \u044d\u043b\u043b\u0438\u043f\u0441\u043e\u043c. \u0421\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u0435\u0449\u0451 \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u043e\u0433\u0440\u0430\u043d\u0438\u0447\u0435\u043d\u0438\u0439 \u0434\u043b\u044f \u043a\u043e\u043d\u0441\u0442\u0430\u043d\u0442 \u043a\u0430\u043d\u043e\u043d\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f, \u043d\u043e \u0438\u0445 \u0440\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0435\u043d\u0438\u0435 \u0441\u0435\u0439\u0447\u0430\u0441 \u043d\u0435\u0446\u0435\u043b\u0435\u0441\u043e\u043e\u0431\u0440\u0430\u0437\u043d\u043e; \u043c\u044b \u043f\u043e\u0434\u0440\u043e\u0431\u043d\u0435\u0435 \u0440\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0438\u043c \u044d\u0442\u043e \u043f\u0440\u0438 \u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u0438\u0441\u0442\u0438\u043a\u0435 \u044d\u043b\u043b\u0438\u043f\u0441\u043e\u0432 \u0438 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b.<\/p>\n<p>   <a name=\"5\"><\/a><\/p>\n<h2>\u0420\u0435\u0434\u0443\u043a\u0446\u0438\u044f \u043a \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044e \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0435\u0439<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=HHiC0bp-Vyc&amp;t=948s\" target=\"_blank\" rel=\"noopener\"><strong>\u041a\u043e\u0433\u0434\u0430 \u043c\u044b \u0431\u0443\u0434\u0435\u043c \u043e\u0431\u0441\u0443\u0436\u0434\u0430\u0442\u044c \u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u0438\u0441\u0442\u0438\u043a\u0443 \u044d\u043b\u043b\u0438\u043f\u0441\u043e\u0432,<\/strong><\/a> \u043c\u044b \u0440\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0438\u043c, \u0447\u0442\u043e \u043a\u043e\u043d\u0441\u0442\u0430\u043d\u0442\u044b <span class=\"katex-eq\" data-katex-display=\"false\">a<\/span> \u0438 <span class=\"katex-eq\" data-katex-display=\"false\">b<\/span> \u0432 \u043e\u0431\u0449\u0435\u043c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0438 \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0442 \u043f\u043e\u043b\u0443\u043e\u0441\u044f\u043c \u044d\u043b\u043b\u0438\u043f\u0441\u0430. \u0415\u0441\u043b\u0438 \u0441\u0434\u0435\u043b\u0430\u0442\u044c \u043e\u0431\u0430 \u043f\u043e\u043b\u0443\u043e\u0441\u0438 \u0440\u0430\u0432\u043d\u044b\u043c\u0438, \u0443\u0441\u0442\u0430\u043d\u043e\u0432\u0438\u0432 <span class=\"katex-eq\" data-katex-display=\"false\">a=b=r,<\/span> \u0442\u043e \u044d\u043b\u043b\u0438\u043f\u0441 \u0441\u0442\u0430\u043d\u0435\u0442 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u044c\u044e \u0441 \u0440\u0430\u0434\u0438\u0443\u0441\u043e\u043c <span class=\"katex-eq\" data-katex-display=\"false\">r.<\/span>\n<h3>\u041e\u0431\u0449\u0435\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0435\u0439<\/h3>\n<p style=\"text-align: justify;\">\u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043c\u044b \u043f\u043e\u043b\u0443\u0447\u0430\u0435\u043c \u043e\u0431\u0449\u0435\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0435\u0439:<\/p>\n<p style=\"text-align: justify;\"><span class=\"katex-eq\" data-katex-display=\"false\">(x-h)^2 + (y-k)^2 = r^2<\/span>\n<h3>\u041a\u0430\u043d\u043e\u043d\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0435\u0439<\/h3>\n<p style=\"text-align: justify;\">\u0410\u043d\u0430\u043b\u043e\u0433\u0438\u0447\u043d\u044b\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043c\u044b \u043f\u043e\u043b\u0443\u0447\u0430\u0435\u043c \u043a\u0430\u043d\u043e\u043d\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0435\u0439:<\/p>\n<p style=\"text-align: justify;\"><span class=\"katex-eq\" data-katex-display=\"false\">Ax^2 + Bx + Cy^2 + Dy + E = 0<\/span>\n<p style=\"text-align: justify;\">\u0412 \u0441\u0432\u043e\u0435\u0439 \u043a\u0430\u043d\u043e\u043d\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u0444\u043e\u0440\u043c\u0435 \u043e\u043d\u043e \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u0435\u0442 \u0441 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435\u043c \u044d\u043b\u043b\u0438\u043f\u0441\u043e\u0432, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438, \u043a\u0430\u043a \u043c\u044b \u0432\u0438\u0434\u0438\u043c, \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u0447\u0430\u0441\u0442\u043d\u044b\u043c \u0441\u043b\u0443\u0447\u0430\u0435\u043c \u044d\u043b\u043b\u0438\u043f\u0441\u043e\u0432.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u044d\u043b\u043b\u0438\u043f\u0441\u043e\u0432 \u0438 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0435\u0439 \u0420\u0435\u0437\u044e\u043c\u0435: \u0412 \u044d\u0442\u043e\u043c \u0443\u0440\u043e\u043a\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u0442\u0441\u044f \u0432\u044b\u0432\u043e\u0434 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u044d\u043b\u043b\u0438\u043f\u0441\u043e\u0432, \u0438\u0441\u0445\u043e\u0434\u044f \u0438\u0437 \u0438\u0445 \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f, \u043a\u043e\u0442\u043e\u0440\u043e\u0435 \u0433\u043b\u0430\u0441\u0438\u0442, \u0447\u0442\u043e \u0441\u0443\u043c\u043c\u0430 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0439 \u043e\u0442 \u043b\u044e\u0431\u043e\u0439 \u0442\u043e\u0447\u043a\u0438 \u043d\u0430 \u044d\u043b\u043b\u0438\u043f\u0441\u0435 \u0434\u043e \u0434\u0432\u0443\u0445 \u0444\u0438\u043a\u0441\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u044b\u0445 \u0444\u043e\u043a\u0443\u0441\u043e\u0432 \u043f\u043e\u0441\u0442\u043e\u044f\u043d\u043d\u0430. \u0427\u0435\u0440\u0435\u0437 \u0434\u0435\u0442\u0430\u043b\u0438\u0437\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u043e\u0435 \u0430\u043b\u0433\u0435\u0431\u0440\u0430\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u0440\u0430\u0437\u0432\u0438\u0442\u0438\u0435 \u0432\u044b\u0432\u043e\u0434\u0438\u0442\u0441\u044f \u043e\u0431\u0449\u0435\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u044d\u043b\u043b\u0438\u043f\u0441\u043e\u0432 \u0438 \u0438\u0445 \u043a\u0430\u043d\u043e\u043d\u0438\u0447\u0435\u0441\u043a\u0430\u044f \u0444\u043e\u0440\u043c\u0430, \u0430 \u0442\u0430\u043a\u0436\u0435 \u0443\u0441\u0442\u0430\u043d\u0430\u0432\u043b\u0438\u0432\u0430\u0435\u0442\u0441\u044f \u0441\u0432\u044f\u0437\u044c \u043c\u0435\u0436\u0434\u0443 \u044d\u043b\u043b\u0438\u043f\u0441\u0430\u043c\u0438 \u0438 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u044f\u043c\u0438, \u043f\u043e\u043a\u0430\u0437\u044b\u0432\u0430\u044f, \u0447\u0442\u043e \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u044c [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":28959,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"iawp_total_views":0,"footnotes":""},"categories":[589,573],"tags":[],"class_list":["post-28971","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 v26.7 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u044d\u043b\u043b\u0438\u043f\u0441\u043e\u0432 \u0438 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0435\u0439 - toposuranos.com\/material<\/title>\n<meta name=\"description\" content=\"\u041d\u0430\u0443\u0447\u0438\u0442\u0435\u0441\u044c \u0432\u044b\u0432\u043e\u0434\u0438\u0442\u044c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u044d\u043b\u043b\u0438\u043f\u0441\u043e\u0432 \u0438 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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\/28971","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=28971"}],"version-history":[{"count":0,"href":"https:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/posts\/28971\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/media\/28959"}],"wp:attachment":[{"href":"https:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/media?parent=28971"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/categories?post=28971"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/tags?post=28971"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}