{"id":29030,"date":"2021-05-05T13:00:45","date_gmt":"2021-05-05T13:00:45","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=29030"},"modified":"2024-09-22T04:32:49","modified_gmt":"2024-09-22T04:32:49","slug":"%d0%ba%d0%be%d0%bd%d0%b8%d1%87%d0%b5%d1%81%d0%ba%d0%b8%d0%b5-%d1%81%d0%b5%d1%87%d0%b5%d0%bd%d0%b8%d1%8f-%d1%85%d0%b0%d1%80%d0%b0%d0%ba%d1%82%d0%b5%d1%80%d0%b8%d1%81%d1%82%d0%b8%d0%ba%d0%b0-%d0%b8","status":"publish","type":"post","link":"https:\/\/toposuranos.com\/material\/ru\/%d0%ba%d0%be%d0%bd%d0%b8%d1%87%d0%b5%d1%81%d0%ba%d0%b8%d0%b5-%d1%81%d0%b5%d1%87%d0%b5%d0%bd%d0%b8%d1%8f-%d1%85%d0%b0%d1%80%d0%b0%d0%ba%d1%82%d0%b5%d1%80%d0%b8%d1%81%d1%82%d0%b8%d0%ba%d0%b0-%d0%b8\/","title":{"rendered":"\u041a\u043e\u043d\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u0441\u0435\u0447\u0435\u043d\u0438\u044f: \u0425\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u0438\u0441\u0442\u0438\u043a\u0430 \u0438 \u0433\u0440\u0430\u0444\u0438\u043a\u0438 \u043f\u0430\u0440\u0430\u0431\u043e\u043b, \u044d\u043b\u043b\u0438\u043f\u0441\u043e\u0432 \u0438 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b"},"content":{"rendered":"<p><center><\/p>\n<h1>\u041a\u043e\u043d\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u0441\u0435\u0447\u0435\u043d\u0438\u044f: \u0425\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u0438\u0441\u0442\u0438\u043a\u0430 \u0438 \u0433\u0440\u0430\u0444\u0438\u043a\u0438 \u043f\u0430\u0440\u0430\u0431\u043e\u043b, \u044d\u043b\u043b\u0438\u043f\u0441\u043e\u0432 \u0438 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b<\/h1>\n<p><em><strong>\u0420\u0435\u0437\u044e\u043c\u0435:<\/strong><br \/>\n   \u041d\u0430 \u044d\u0442\u043e\u043c \u0437\u0430\u043d\u044f\u0442\u0438\u0438 \u043c\u044b \u0440\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0438\u043c \u043a\u043e\u043d\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u0441\u0435\u0447\u0435\u043d\u0438\u044f (\u043f\u0430\u0440\u0430\u0431\u043e\u043b\u044b, \u044d\u043b\u043b\u0438\u043f\u0441\u044b \u0438 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b), \u043d\u0430\u0447\u0438\u043d\u0430\u044f \u0441 \u0438\u0445 \u043a\u0430\u043d\u043e\u043d\u0438\u0447\u0435\u0441\u043a\u0438\u0445 \u0438 \u043e\u0431\u0449\u0438\u0445 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439. \u041c\u044b \u043e\u0431\u044a\u044f\u0441\u043d\u0438\u043c, \u043a\u0430\u043a \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u0438 \u043e\u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u0438\u0437\u043e\u0432\u0430\u0442\u044c \u043a\u0430\u0436\u0434\u0443\u044e \u043a\u0440\u0438\u0432\u0443\u044e, \u0441\u043e\u0441\u0440\u0435\u0434\u043e\u0442\u043e\u0447\u0438\u0432 \u0432\u043d\u0438\u043c\u0430\u043d\u0438\u0435 \u043d\u0430 \u043a\u043b\u044e\u0447\u0435\u0432\u044b\u0445 \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u0430\u0445, \u0442\u0430\u043a\u0438\u0445 \u043a\u0430\u043a \u0432\u0435\u0440\u0448\u0438\u043d\u0430, \u0444\u043e\u043a\u0443\u0441 \u0438 \u043e\u0441\u044c \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0438 \u043f\u0430\u0440\u0430\u0431\u043e\u043b, \u0430 \u0442\u0430\u043a\u0436\u0435 \u043d\u0430 \u0440\u0430\u0437\u043b\u0438\u0447\u0438\u044f\u0445 \u043c\u0435\u0436\u0434\u0443 \u044d\u043b\u043b\u0438\u043f\u0441\u0430\u043c\u0438 \u0438 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0430\u043c\u0438 \u0432 \u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0441\u0442\u0438 \u043e\u0442 \u0437\u043d\u0430\u043a\u043e\u0432 \u0438\u0445 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u043e\u0432.<br \/>\n   <\/em><br \/>\n   <strong>\u0426\u0435\u043b\u0438 \u043e\u0431\u0443\u0447\u0435\u043d\u0438\u044f:<\/strong><br \/>\n   \u041a \u043a\u043e\u043d\u0446\u0443 \u044d\u0442\u043e\u0433\u043e \u0437\u0430\u043d\u044f\u0442\u0438\u044f \u0441\u0442\u0443\u0434\u0435\u043d\u0442 \u0431\u0443\u0434\u0435\u0442 \u0441\u043f\u043e\u0441\u043e\u0431\u0435\u043d:<\/p>\n<ol style=\"text-align:left;\">\n<li><strong>\u0420\u0430\u0441\u043f\u043e\u0437\u043d\u0430\u0432\u0430\u0442\u044c<\/strong> \u043a\u0430\u043d\u043e\u043d\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043a\u043e\u043d\u0438\u0447\u0435\u0441\u043a\u0438\u0445 \u0441\u0435\u0447\u0435\u043d\u0438\u0439 (\u043f\u0430\u0440\u0430\u0431\u043e\u043b\u044b, \u044d\u043b\u043b\u0438\u043f\u0441\u044b, \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b)<\/li>\n<li><strong>\u0412\u044b\u0447\u0438\u0441\u043b\u044f\u0442\u044c<\/strong> \u043a\u0430\u0436\u0434\u0443\u044e \u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u0438\u0441\u0442\u0438\u043a\u0443 \u043a\u043e\u043d\u0438\u0447\u0435\u0441\u043a\u0438\u0445 \u0441\u0435\u0447\u0435\u043d\u0438\u0439: \u0434\u043b\u0438\u043d\u0443 \u043f\u043e\u043b\u0443\u043e\u0441\u0435\u0439, \u0444\u043e\u043a\u0443\u0441\u043d\u043e\u0435 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435, \u0434\u0438\u0440\u0435\u043a\u0442\u0440\u0438\u0441\u0443 \u0438 \u0442.\u0434.<\/li>\n<\/ol>\n<p>   <strong>\u0421\u041e\u0414\u0415\u0420\u0416\u0410\u041d\u0418\u0415<\/strong><br \/>\n   <a href=\"#1\">\u041a\u043e\u043d\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u0441\u0435\u0447\u0435\u043d\u0438\u044f<\/a><br \/>\n   <a href=\"#2\">\u041e\u0431\u0437\u043e\u0440 \u043f\u0430\u0440\u0430\u0431\u043e\u043b<\/a><br \/>\n   <a href=\"#3\">\u041e\u0431\u0437\u043e\u0440 \u044d\u043b\u043b\u0438\u043f\u0441\u043e\u0432 \u0438 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b<\/a><br \/>\n   <a href=\"#4\">\u0425\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u0438\u0441\u0442\u0438\u043a\u0430 \u044d\u043b\u043b\u0438\u043f\u0441\u0430<\/a><br \/>\n   <a href=\"#5\">\u0425\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u0438\u0441\u0442\u0438\u043a\u0430 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b<\/a><br \/>\n   <a href=\"#6\">\u0420\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \u0437\u0430\u0434\u0430\u0447\u0438<\/a>\n   <\/p>\n<p>   <\/center><\/p>\n<p>   <center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/d21_9EHUv_M\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/center><br \/>\n   <a name=\"1\"><\/a><\/p>\n<h2>\u041a\u043e\u043d\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u0441\u0435\u0447\u0435\u043d\u0438\u044f<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=d21_9EHUv_M&amp;t=126s\" target=\"_blank\" rel=\"noopener\"><strong>\u041a\u043e\u043d\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u0441\u0435\u0447\u0435\u043d\u0438\u044f \u043d\u0430\u0437\u044b\u0432\u0430\u044e\u0442\u0441\u044f<\/strong><\/a> \u043a\u0440\u0438\u0432\u044b\u043c\u0438, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u0432\u043e\u0437\u043d\u0438\u043a\u0430\u044e\u0442 \u0432 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u0435 \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u043f\u043e\u0432\u0435\u0440\u0445\u043d\u043e\u0441\u0442\u0438 \u043a\u043e\u043d\u0443\u0441\u0430 \u0441 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044c\u044e. \u041a \u0441\u0435\u043c\u0435\u0439\u0441\u0442\u0432\u0443 \u043a\u043e\u043d\u0438\u0447\u0435\u0441\u043a\u0438\u0445 \u0441\u0435\u0447\u0435\u043d\u0438\u0439 \u043e\u0442\u043d\u043e\u0441\u044f\u0442\u0441\u044f \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438, \u044d\u043b\u043b\u0438\u043f\u0441\u044b \u0438 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b, \u0432\u0441\u0435 \u044d\u0442\u0438 \u043a\u0440\u0438\u0432\u044b\u0435 \u043c\u044b \u0443\u0436\u0435 \u0438\u0437\u0443\u0447\u0430\u043b\u0438.<\/p>\n<p>   <img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-5eckvpNxzlg\/YJJimcxkMYI\/AAAAAAAAFEA\/dfGTvXblcD4dZXSjpWvonYFN8O0EMNqtwCLcBGAsYHQ\/s0\/curvas-conicas-secciones-cono.png\" alt=\"\u041a\u043e\u043d\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u0441\u0435\u0447\u0435\u043d\u0438\u044f\" class=\" aligncenter lazyload\" width=\"531\" height=\"272\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-5eckvpNxzlg\/YJJimcxkMYI\/AAAAAAAAFEA\/dfGTvXblcD4dZXSjpWvonYFN8O0EMNqtwCLcBGAsYHQ\/s0\/curvas-conicas-secciones-cono.png\" alt=\"\u041a\u043e\u043d\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u0441\u0435\u0447\u0435\u043d\u0438\u044f\" class=\" aligncenter lazyload\" width=\"531\" height=\"272\" \/><\/noscript><\/p>\n<p style=\"text-align: justify;\">\u0422\u0435\u043f\u0435\u0440\u044c \u043c\u044b \u0440\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0438\u043c \u0442\u0435\u0445\u043d\u0438\u043a\u0438 \u0440\u0430\u0441\u043f\u043e\u0437\u043d\u0430\u0432\u0430\u043d\u0438\u044f \u0438 \u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u0438\u0441\u0442\u0438\u043a\u0438 \u043a\u0430\u0436\u0434\u043e\u0439 \u0438\u0437 \u044d\u0442\u0438\u0445 \u043a\u0440\u0438\u0432\u044b\u0445. \u041c\u044b \u0441\u043e\u0441\u0440\u0435\u0434\u043e\u0442\u043e\u0447\u0438\u043c\u0441\u044f \u0432 \u043f\u0435\u0440\u0432\u0443\u044e \u043e\u0447\u0435\u0440\u0435\u0434\u044c \u043d\u0430 \u043a\u0430\u043d\u043e\u043d\u0438\u0447\u0435\u0441\u043a\u0438\u0445 \u0444\u043e\u0440\u043c\u0430\u0445, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043e\u043d\u0438 \u0432\u0441\u0442\u0440\u0435\u0447\u0430\u044e\u0442\u0441\u044f \u0447\u0430\u0449\u0435 \u0432\u0441\u0435\u0433\u043e \u0438 \u043f\u0440\u0435\u0434\u043e\u0441\u0442\u0430\u0432\u043b\u044f\u044e\u0442 \u043c\u0435\u043d\u044c\u0448\u0435 \u044f\u0432\u043d\u043e\u0439 \u0438\u043d\u0444\u043e\u0440\u043c\u0430\u0446\u0438\u0438. \u041e\u0431\u0449\u0438\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f, \u043d\u0430\u043f\u0440\u043e\u0442\u0438\u0432, \u0440\u0430\u0441\u043a\u0440\u044b\u0432\u0430\u044e\u0442 \u043f\u043e\u0447\u0442\u0438 \u0432\u0441\u044e \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0443\u044e \u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u0438\u0441\u0442\u0438\u043a\u0443.<\/p>\n<p>   <a name=\"2\"><\/a><\/p>\n<h2>\u041e\u0431\u0437\u043e\u0440 \u043f\u0430\u0440\u0430\u0431\u043e\u043b<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=d21_9EHUv_M&amp;t=160s\" target=\"_blank\" rel=\"noopener\"><strong>\u041a\u0430\u0436\u0434\u0430\u044f \u043f\u0430\u0440\u0430\u0431\u043e\u043b\u0430 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442\u0441\u044f<\/strong><\/a> \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435\u043c \u0432\u0438\u0434\u0430:<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">y=ax^2 + bx + c,<\/span> \u0433\u0434\u0435 <span class=\"katex-eq\" data-katex-display=\"false\">a\\neq 0<\/span>\n<p style=\"text-align: justify;\">\u0418\u0437 \u044d\u0442\u043e\u0433\u043e \u043c\u044b \u043f\u043e\u043b\u0443\u0447\u0438\u043b\u0438:<\/p>\n<ul style=\"text-align: justify;\">\n<li>\u041a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0432\u0435\u0440\u0448\u0438\u043d\u044b: <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle (x_0, y_0)=\\left( -\\dfrac{b}{2a}, c - \\dfrac{b^2}{4a} \\right)<\/span><\/li>\n<li>\u0424\u043e\u043a\u0443\u0441\u043d\u043e\u0435 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435: <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle f=\\dfrac{1}{4a}<\/span><\/li>\n<li>\u041a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0444\u043e\u043a\u0443\u0441\u0430: <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle foco=\\left( -\\dfrac{b}{2a}, c - \\dfrac{b^2}{4a} + f \\right) =\\left( -\\dfrac{b}{2a}, c + \\dfrac{1- b^2}{4a} \\right)<\/span><\/li>\n<li>\u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0434\u0438\u0440\u0435\u043a\u0442\u0440\u0438\u0441\u044b: <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle y= c - \\dfrac{b^2}{4a} - f = c - \\dfrac{1+b^2}{4a}<\/span><\/li>\n<li>\u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043e\u0441\u0438 \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0438: <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle x= -\\dfrac{b}{2a} <\/span><\/li>\n<li>\u0422\u043e\u0447\u043a\u0438 \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u0441 \u043e\u0441\u044c\u044e x (\u0435\u0441\u043b\u0438 \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u044e\u0442): <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle x_{1,2}= \\dfrac{-b \\pm \\sqrt{b^2-4ac}}{2a} <\/span><\/li>\n<\/ul>\n<p style=\"text-align: justify;\">\u0422\u0435\u043f\u0435\u0440\u044c \u0443 \u043d\u0430\u0441 \u0435\u0441\u0442\u044c \u0432\u0441\u044f \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u0430\u044f \u0438\u043d\u0444\u043e\u0440\u043c\u0430\u0446\u0438\u044f \u0434\u043b\u044f \u043f\u043e\u0441\u0442\u0440\u043e\u0435\u043d\u0438\u044f \u0433\u0440\u0430\u0444\u0438\u043a\u0430 \u043b\u044e\u0431\u043e\u0439 \u043f\u0430\u0440\u0430\u0431\u043e\u043b\u044b.<\/p>\n<p>   <a name=\"3\"><\/a><\/p>\n<h2>\u041e\u0431\u0437\u043e\u0440 \u044d\u043b\u043b\u0438\u043f\u0441\u043e\u0432 \u0438 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=d21_9EHUv_M&amp;t=449s\" target=\"_blank\" rel=\"noopener\"><strong>\u042d\u043b\u043b\u0438\u043f\u0441\u044b \u0438 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b, \u043a\u0430\u043a \u043c\u044b \u0443\u0436\u0435 \u0432\u0438\u0434\u0435\u043b\u0438,<\/strong><\/a> \u0438\u043c\u0435\u044e\u0442 \u043a\u0430\u043d\u043e\u043d\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435 \u0432\u0438\u0434\u0430:<\/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;\">\u0413\u0434\u0435 <span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u0438 <span class=\"katex-eq\" data-katex-display=\"false\">C<\/span> \u2014 \u044d\u0442\u043e \u043d\u0435\u043d\u0443\u043b\u0435\u0432\u044b\u0435 \u043a\u043e\u043d\u0441\u0442\u0430\u043d\u0442\u044b, \u0438 \u0438\u0441\u0445\u043e\u0434\u044f \u0438\u0437 \u0442\u043e\u0433\u043e, \u0447\u0442\u043e \u043c\u044b \u0438\u0437\u0443\u0447\u0438\u043b\u0438, \u043c\u043e\u0436\u043d\u043e \u0441\u0434\u0435\u043b\u0430\u0442\u044c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0432\u044b\u0432\u043e\u0434\u044b:<\/p>\n<ul style=\"text-align: justify;\">\n<li>\u0415\u0441\u043b\u0438 <span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u0438 <span class=\"katex-eq\" data-katex-display=\"false\">C<\/span> \u0438\u043c\u0435\u044e\u0442 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u044b\u0439 \u0437\u043d\u0430\u043a, \u044d\u0442\u043e \u044d\u043b\u043b\u0438\u043f\u0441.<\/li>\n<li>\u0415\u0441\u043b\u0438 <span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u0438 <span class=\"katex-eq\" data-katex-display=\"false\">C<\/span> \u0438\u043c\u0435\u044e\u0442 \u043f\u0440\u043e\u0442\u0438\u0432\u043e\u043f\u043e\u043b\u043e\u0436\u043d\u044b\u0435 \u0437\u043d\u0430\u043a\u0438, \u044d\u0442\u043e \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0430.<\/li>\n<\/ul>\n<p style=\"text-align: justify;\">\u0427\u0442\u043e\u0431\u044b \u0447\u0435\u0442\u043a\u043e \u0440\u0430\u0437\u0434\u0435\u043b\u0438\u0442\u044c \u043e\u0431\u0430 \u0441\u043b\u0443\u0447\u0430\u044f, \u043c\u044b \u0437\u0430\u043f\u0438\u0448\u0435\u043c:<\/p>\n<ul style=\"text-align: justify;\">\n<li><span class=\"katex-eq\" data-katex-display=\"false\">\\alpha x^2+ \\beta x + \\gamma y^2 + \\delta y + \\epsilon = 0<\/span> \u2014 \u044d\u0442\u043e \u044d\u043b\u043b\u0438\u043f\u0441.<\/li>\n<li><span class=\"katex-eq\" data-katex-display=\"false\">\\alpha x^2+ \\beta x - \\gamma y^2 + \\delta y + \\epsilon = 0<\/span> \u2014 \u044d\u0442\u043e \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0430.<\/li>\n<\/ul>\n<p style=\"text-align: justify;\">\u0413\u0434\u0435 <span class=\"katex-eq\" data-katex-display=\"false\">\\alpha, \\beta, \\gamma, \\delta<\/span> \u0438 <span class=\"katex-eq\" data-katex-display=\"false\">\\epsilon<\/span> \u2014 \u043b\u044e\u0431\u044b\u0435 \u0432\u0435\u0449\u0435\u0441\u0442\u0432\u0435\u043d\u043d\u044b\u0435 \u0447\u0438\u0441\u043b\u0430, \u0430 <span class=\"katex-eq\" data-katex-display=\"false\">\\alpha<\/span> \u0438 <span class=\"katex-eq\" data-katex-display=\"false\">\\gamma<\/span> \u0432\u0441\u0435\u0433\u0434\u0430 \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u044b. \u0422\u0430\u043a\u0443\u044e \u0437\u0430\u043f\u0438\u0441\u044c \u043f\u043e\u0437\u0432\u043e\u043b\u044f\u0435\u0442 \u0447\u0435\u0442\u043a\u043e \u0440\u0430\u0437\u0434\u0435\u043b\u0438\u0442\u044c \u043e\u0431\u0430 \u0441\u043b\u0443\u0447\u0430\u044f. \u0418\u0441\u0445\u043e\u0434\u044f \u0438\u0437 \u044d\u0442\u043e\u0433\u043e, \u043c\u043e\u0436\u043d\u043e \u0441\u0434\u0435\u043b\u0430\u0442\u044c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0432\u044b\u0432\u043e\u0434\u044b:<\/p>\n<p>   <a name=\"4\"><\/a><\/p>\n<h2>\u0425\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u0438\u0441\u0442\u0438\u043a\u0430 \u044d\u043b\u043b\u0438\u043f\u0441\u0430<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=d21_9EHUv_M&amp;t=552s\" target=\"_blank\" rel=\"noopener\"><strong>\u041d\u0430\u0447\u0438\u043d\u0430\u044f \u0441 \u043a\u0430\u043d\u043e\u043d\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f,<\/strong><\/a> \u043c\u044b \u0434\u0435\u043b\u0430\u0435\u043c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0432\u044b\u0432\u043e\u0434\u044b:<\/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\">\\alpha x^2+ \\beta x + \\gamma y^2 + \\delta y + \\epsilon = 0<\/span><\/td>\n<td>; \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.<\/td>\n<\/tr>\n<tr>\n<td>(2)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\alpha \\left( x^2+ \\dfrac{\\beta}{\\alpha }x\\right) + \\gamma \\left(y^2 + \\dfrac{\\delta}{\\gamma }y\\right) =- \\epsilon<\/span><\/td>\n<td>; \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u044f \u0438 \u043f\u0435\u0440\u0435\u0433\u0440\u0443\u043f\u043f\u0438\u0440\u043e\u0432\u043a\u0430 \u0442\u0435\u0440\u043c\u0438\u043d\u043e\u0432<\/td>\n<\/tr>\n<tr>\n<td>(3)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\alpha \\left( x + \\dfrac{\\beta}{2 \\alpha }\\right)^2 + \\gamma \\left(y + \\dfrac{\\delta}{2 \\gamma } \\right)^2 =\\dfrac{\\beta^2}{4\\alpha } + \\dfrac{\\delta^2}{4\\gamma } - \\epsilon<\/span><\/td>\n<td>; \u0437\u0430\u0432\u0435\u0440\u0448\u0435\u043d\u0438\u0435 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043e\u0432 \u0438 \u043f\u0435\u0440\u0435\u0433\u0440\u0443\u043f\u043f\u0438\u0440\u043e\u0432\u043a\u0430 \u0442\u0435\u0440\u043c\u0438\u043d\u043e\u0432<\/td>\n<\/tr>\n<tr>\n<td>(4)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\alpha \\dfrac{\\left( x + \\dfrac{\\beta}{2 \\alpha }\\right)^2}{\\left(\\dfrac{\\beta^2}{4\\alpha } + \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)} + \\gamma \\dfrac{\\left(y + \\dfrac{\\delta}{2 \\gamma } \\right)^2}{\\left(\\dfrac{\\beta^2}{4\\alpha } + \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)} = 1<\/span><\/td>\n<td>; \u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u0432\u0441\u0435\u0445 \u0447\u043b\u0435\u043d\u043e\u0432 \u043d\u0430 <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\dfrac{\\beta^2}{4\\alpha } + \\dfrac{\\delta^2}{4\\gamma } - \\epsilon<\/span><\/td>\n<\/tr>\n<tr>\n<td>(5)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\dfrac{\\left( x + \\dfrac{\\beta}{2 \\alpha }\\right)^2}{\\dfrac{1}{\\alpha }\\left(\\dfrac{\\beta^2}{4\\alpha } + \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)} + \\dfrac{\\left(y + \\dfrac{\\delta}{2 \\gamma } \\right)^2}{\\dfrac{1}{ \\gamma}\\left(\\dfrac{\\beta^2}{4\\alpha } + \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)} = 1<\/span><\/td>\n<td>; \u0440\u0435\u043e\u0440\u0433\u0430\u043d\u0438\u0437\u0430\u0446\u0438\u044f <span class=\"katex-eq\" data-katex-display=\"false\">\\alpha<\/span> \u0438 <span class=\"katex-eq\" data-katex-display=\"false\">\\gamma<\/span><\/td>\n<\/tr>\n<tr>\n<td>(6)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\left( \\dfrac{ x - \\left(-\\dfrac{\\beta}{2 \\alpha }\\right)}{\\sqrt{\\dfrac{1}{\\alpha}\\left(\\dfrac{\\beta^2}{4\\alpha } + \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)}}\\right)^2 + \\left( \\dfrac{y - \\left(-\\dfrac{\\delta}{2 \\gamma } \\right)}{\\sqrt{\\dfrac{1}{\\gamma}\\left(\\dfrac{\\beta^2}{4\\alpha } + \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)}}\\right)^2 = 1<\/span><\/td>\n<td>; \u0440\u0435\u043e\u0440\u0433\u0430\u043d\u0438\u0437\u0430\u0446\u0438\u044f \u0441 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u044b\u043c\u0438 \u043a\u043e\u0440\u043d\u044f\u043c\u0438<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">\u0412 \u0442\u0440\u0435\u0442\u044c\u0435\u043c \u0448\u0430\u0433\u0435 \u044d\u0442\u043e\u0439 \u0434\u0435\u0434\u0443\u043a\u0446\u0438\u0438 \u043e\u0441\u043e\u0431\u0435\u043d\u043d\u043e \u0432\u0430\u0436\u043d\u043e \u043e\u0442\u043c\u0435\u0442\u0438\u0442\u044c, \u0447\u0442\u043e \u0435\u0441\u043b\u0438 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442 <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\dfrac{\\beta^2}{4\\alpha } + \\dfrac{\\delta^2}{4\\gamma } - \\epsilon<\/span> \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u0435\u043d, \u0442\u043e \u044d\u043b\u043b\u0438\u043f\u0441 \u043d\u0435 \u043c\u043e\u0436\u0435\u0442 \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u043e\u0432\u0430\u0442\u044c.<\/p>\n<p style=\"text-align: justify;\">\u041d\u0430\u043f\u043e\u043c\u043d\u0438\u043c, \u0447\u0442\u043e \u043e\u0431\u0449\u0435\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u044d\u043b\u043b\u0438\u043f\u0441\u043e\u0432 \u0438\u043c\u0435\u0435\u0442 \u0432\u0438\u0434:<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\left( \\dfrac{x-h}{a} \\right)^2 + \\left(\\dfrac{y-k}{b} \\right)^2 = 1<\/span>\n<p style=\"text-align: justify;\">\u0418\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f \u044d\u0442\u043e\u0442 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442, \u043c\u044b \u0442\u0435\u043f\u0435\u0440\u044c \u0438\u043c\u0435\u0435\u043c \u043f\u0440\u044f\u043c\u0443\u044e \u0441\u0432\u044f\u0437\u044c \u043c\u0435\u0436\u0434\u0443 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0430\u043c\u0438 \u043e\u0431\u0449\u0435\u0439 \u0444\u043e\u0440\u043c\u0443\u043b\u044b, \u0447\u0442\u043e \u043f\u043e\u0437\u0432\u043e\u043b\u044f\u0435\u0442 \u043d\u0430\u043c \u0440\u0430\u0441\u043a\u0440\u044b\u0442\u044c \u0432\u0441\u044e \u0441\u043a\u0440\u044b\u0442\u0443\u044e \u0438\u043d\u0444\u043e\u0440\u043c\u0430\u0446\u0438\u044e \u0432 \u043a\u0430\u043d\u043e\u043d\u0438\u0447\u0435\u0441\u043a\u043e\u043c \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0438:<\/p>\n<ul style=\"text-align: justify;\">\n<li>\u041a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0446\u0435\u043d\u0442\u0440\u0430: <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle (h,k) = \\left( -\\dfrac{\\beta}{2\\alpha}, -\\dfrac{\\delta}{2\\gamma}\\right)<\/span><\/li>\n<li>\u0414\u043b\u0438\u043d\u0430 \u0433\u043e\u0440\u0438\u0437\u043e\u043d\u0442\u0430\u043b\u044c\u043d\u043e\u0439 \u043f\u043e\u043b\u0443\u043e\u0441\u0438: <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle a = \\sqrt{\\dfrac{1}{\\alpha}\\left(\\dfrac{\\beta^2}{4\\alpha } + \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)}<\/span><\/li>\n<li>\u0414\u043b\u0438\u043d\u0430 \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u044c\u043d\u043e\u0439 \u043f\u043e\u043b\u0443\u043e\u0441\u0438: <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle b = \\sqrt{\\dfrac{1}{\\gamma}\\left(\\dfrac{\\beta^2}{4\\alpha } + \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)}<\/span><\/li>\n<\/ul>\n<p style=\"text-align: justify;\">\u0422\u0435\u043f\u0435\u0440\u044c \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0440\u0430\u0441\u043f\u043e\u0437\u043d\u0430\u0442\u044c \u0438 \u043f\u043e\u0441\u0442\u0440\u043e\u0438\u0442\u044c \u0433\u0440\u0430\u0444\u0438\u043a \u044d\u043b\u043b\u0438\u043f\u0441\u0430 \u043d\u0430\u043f\u0440\u044f\u043c\u0443\u044e \u0438\u0437 \u0435\u0433\u043e \u043a\u0430\u043d\u043e\u043d\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u0444\u043e\u0440\u043c\u044b. \u0415\u0433\u043e \u0433\u0440\u0430\u0444\u0438\u043a \u0431\u0443\u0434\u0435\u0442 \u0432\u044b\u0433\u043b\u044f\u0434\u0435\u0442\u044c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c:<\/p>\n<p>   <img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-aVD7YQ7DfL0\/YJKBv9QXeTI\/AAAAAAAAFEQ\/urCuFtrn-YYBQ_fVSGXsmhMqExFumag-ACLcBGAsYHQ\/s0\/elipse.PNG\" class=\" aligncenter lazyload\" width=\"414\" height=\"291\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-aVD7YQ7DfL0\/YJKBv9QXeTI\/AAAAAAAAFEQ\/urCuFtrn-YYBQ_fVSGXsmhMqExFumag-ACLcBGAsYHQ\/s0\/elipse.PNG\" class=\" aligncenter lazyload\" width=\"414\" height=\"291\" \/><\/noscript><\/p>\n<p>   <a name=\"5\"><\/a><\/p>\n<h2>\u0425\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u0438\u0441\u0442\u0438\u043a\u0430 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=d21_9EHUv_M&amp;t=911s\" target=\"_blank\" rel=\"noopener\"><strong>\u0420\u0430\u0441\u0441\u0443\u0436\u0434\u0430\u044f \u0430\u043d\u0430\u043b\u043e\u0433\u0438\u0447\u043d\u044b\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c,<\/strong><\/a> \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u043f\u043e\u043b\u043d\u043e\u0441\u0442\u044c\u044e \u043e\u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u0438\u0437\u043e\u0432\u0430\u0442\u044c \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0443, \u043d\u0430\u0447\u0438\u043d\u0430\u044f \u0441 \u043a\u0430\u043d\u043e\u043d\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f. \u041d\u0430 \u0441\u0430\u043c\u043e\u043c \u0434\u0435\u043b\u0435 \u0430\u043d\u0430\u043b\u0438\u0437 \u043d\u0430\u0441\u0442\u043e\u043b\u044c\u043a\u043e \u043f\u043e\u0445\u043e\u0436, \u0447\u0442\u043e \u044f \u043f\u0440\u043e\u0441\u0442\u043e \u0441\u043a\u043e\u043f\u0438\u0440\u0443\u044e \u0438 \u0432\u0441\u0442\u0430\u0432\u043b\u044e \u0430\u043d\u0430\u043b\u0438\u0437 \u044d\u043b\u043b\u0438\u043f\u0441\u043e\u0432, \u0438\u0437\u043c\u0435\u043d\u0438\u0432 \u043b\u0438\u0448\u044c \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u0447\u0430\u0441\u0442\u0435\u0439.<\/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\">\\alpha x^2+ \\beta x - \\gamma y^2 + \\delta y + \\epsilon = 0<\/span><\/td>\n<td>; \u043a\u0430\u043d\u043e\u043d\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b.<\/td>\n<\/tr>\n<tr>\n<td>(2)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\alpha \\left( x^2+ \\dfrac{\\beta}{\\alpha }x\\right) - \\gamma \\left(y^2 - \\dfrac{\\delta}{\\gamma }y\\right) =- \\epsilon<\/span><\/td>\n<td>; \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u044f \u0438 \u043f\u0435\u0440\u0435\u0433\u0440\u0443\u043f\u043f\u0438\u0440\u043e\u0432\u043a\u0430 \u0442\u0435\u0440\u043c\u0438\u043d\u043e\u0432<\/td>\n<\/tr>\n<tr>\n<td>(3)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\alpha \\left( x + \\dfrac{\\beta}{2 \\alpha }\\right)^2 - \\gamma \\left(y - \\dfrac{\\delta}{2 \\gamma } \\right)^2 =\\dfrac{\\beta^2}{4\\alpha } - \\dfrac{\\delta^2}{4\\gamma } - \\epsilon<\/span><\/td>\n<td>; \u0437\u0430\u0432\u0435\u0440\u0448\u0435\u043d\u0438\u0435 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043e\u0432 \u0438 \u043f\u0435\u0440\u0435\u0433\u0440\u0443\u043f\u043f\u0438\u0440\u043e\u0432\u043a\u0430 \u0442\u0435\u0440\u043c\u0438\u043d\u043e\u0432<\/td>\n<\/tr>\n<tr>\n<td>(4)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\alpha \\dfrac{\\left( x + \\dfrac{\\beta}{2 \\alpha }\\right)^2}{\\left(\\dfrac{\\beta^2}{4\\alpha } - \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)} - \\gamma \\dfrac{\\left(y - \\dfrac{\\delta}{2 \\gamma } \\right)^2}{\\left(\\dfrac{\\beta^2}{4\\alpha } - \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)} = 1<\/span><\/td>\n<td>; \u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u0432\u0441\u0435\u0445 \u0447\u043b\u0435\u043d\u043e\u0432 \u043d\u0430 <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\dfrac{\\beta^2}{4\\alpha } - \\dfrac{\\delta^2}{4\\gamma } - \\epsilon<\/span><\/td>\n<\/tr>\n<tr>\n<td>(5)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\dfrac{\\left( x + \\dfrac{\\beta}{2 \\alpha }\\right)^2}{\\dfrac{1}{\\alpha}\\left(\\dfrac{\\beta^2}{4\\alpha } - \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)} - \\dfrac{\\left(y - \\dfrac{\\delta}{2 \\gamma } \\right)^2}{\\dfrac{1}{\\gamma}\\left(\\dfrac{\\beta^2}{4\\alpha } - \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)} = 1<\/span><\/td>\n<td>; \u0440\u0435\u043e\u0440\u0433\u0430\u043d\u0438\u0437\u0430\u0446\u0438\u044f \u0442\u0435\u0440\u043c\u0438\u043d\u043e\u0432 <span class=\"katex-eq\" data-katex-display=\"false\">\\alpha<\/span> \u0438 <span class=\"katex-eq\" data-katex-display=\"false\">\\gamma<\/span><\/td>\n<\/tr>\n<tr>\n<td>(6)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\left( \\dfrac{ x - \\left(-\\dfrac{\\beta}{2 \\alpha }\\right)}{\\sqrt{\\dfrac{1}{\\alpha}\\left(\\dfrac{\\beta^2}{4\\alpha } - \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)}}\\right)^2 - \\left( \\dfrac{y - \\left(\\dfrac{\\delta}{2 \\gamma } \\right)}{\\sqrt{\\dfrac{1}{\\gamma}\\left(\\dfrac{\\beta^2}{4\\alpha } - \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)}}\\right)^2 = 1<\/span><\/td>\n<td>; \u0440\u0435\u043e\u0440\u0433\u0430\u043d\u0438\u0437\u0430\u0446\u0438\u044f \u0441 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u044b\u043c\u0438 \u043a\u043e\u0440\u043d\u044f\u043c\u0438<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">\u0422\u0435\u043f\u0435\u0440\u044c \u0443 \u043d\u0430\u0441 \u0435\u0441\u0442\u044c \u043f\u0440\u044f\u043c\u0430\u044f \u0441\u0432\u044f\u0437\u044c \u043c\u0435\u0436\u0434\u0443 \u043a\u0430\u043d\u043e\u043d\u0438\u0447\u0435\u0441\u043a\u0438\u043c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435\u043c \u0438 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435\u043c \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b, \u0447\u0442\u043e \u043f\u043e\u0437\u0432\u043e\u043b\u044f\u0435\u0442 \u043d\u0430\u043c \u043b\u0435\u0433\u043a\u043e \u043f\u043e\u0441\u0442\u0440\u043e\u0438\u0442\u044c \u0435\u0451 \u0433\u0440\u0430\u0444\u0438\u043a.<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\left(\\dfrac{x-h}{a} \\right)^2 - \\left(\\dfrac{y-k}{b} \\right)^2 =1 <\/span>\n<p style=\"text-align: justify;\">\u0412 \u043e\u0442\u043b\u0438\u0447\u0438\u0435 \u043e\u0442 \u044d\u043b\u043b\u0438\u043f\u0441\u043e\u0432, \u0437\u0434\u0435\u0441\u044c \u043f\u0440\u0430\u0432\u0438\u043b\u044c\u043d\u0435\u0435 \u0433\u043e\u0432\u043e\u0440\u0438\u0442\u044c \u043e \u00ab\u0433\u0435\u043d\u0435\u0440\u0438\u0440\u0443\u044e\u0449\u0435\u0439 \u043a\u043e\u0440\u043e\u0431\u043a\u0435\u00bb, \u043a\u0430\u043a \u0431\u0443\u0434\u0435\u0442 \u043f\u043e\u043a\u0430\u0437\u0430\u043d\u043e \u043d\u0430 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u043c \u0440\u0438\u0441\u0443\u043d\u043a\u0435:<\/p>\n<ul style=\"text-align: justify;\">\n<li>\u041a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0446\u0435\u043d\u0442\u0440\u0430: <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle (h,k) = \\left( -\\dfrac{\\beta}{2\\alpha}, \\dfrac{\\delta}{2\\gamma}\\right)<\/span><\/li>\n<li>\u0414\u043b\u0438\u043d\u0430 \u0433\u043e\u0440\u0438\u0437\u043e\u043d\u0442\u0430\u043b\u044c\u043d\u043e\u0439 \u043f\u043e\u043b\u0443\u043e\u0441\u0438: <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle a = \\sqrt{\\dfrac{1}{\\alpha}\\left(\\dfrac{\\beta^2}{4\\alpha } - \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)}<\/span><\/li>\n<li>\u0414\u043b\u0438\u043d\u0430 \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u044c\u043d\u043e\u0439 \u043f\u043e\u043b\u0443\u043e\u0441\u0438: <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle b = \\sqrt{\\dfrac{1}{\\gamma}\\left(\\dfrac{\\beta^2}{4\\alpha } - \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)}<\/span><\/li>\n<\/ul>\n<p>   <img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-bd0n_BuEFiE\/YJKJ1fPDhMI\/AAAAAAAAFEY\/-QjR2QbycSkKJihjHnwmdIDESYgNDyuBgCLcBGAsYHQ\/s0\/hiperbola.PNG\" alt=\"\u0413\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0430\" class=\" aligncenter lazyload\" width=\"428\" height=\"305\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-bd0n_BuEFiE\/YJKJ1fPDhMI\/AAAAAAAAFEY\/-QjR2QbycSkKJihjHnwmdIDESYgNDyuBgCLcBGAsYHQ\/s0\/hiperbola.PNG\" alt=\"\u0413\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0430\" class=\" aligncenter lazyload\" width=\"428\" height=\"305\" \/><\/noscript><\/p>\n<p style=\"text-align: justify;\">\u0421 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u0430\u043c\u0438 \u044d\u0442\u0438\u0445 \u0430\u043d\u0430\u043b\u0438\u0437\u043e\u0432 \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0442\u0435\u043f\u0435\u0440\u044c \u043f\u043e\u0441\u0442\u0440\u043e\u0438\u0442\u044c \u0433\u0440\u0430\u0444\u0438\u043a \u043b\u044e\u0431\u043e\u0433\u043e \u0447\u043b\u0435\u043d\u0430 \u0441\u0435\u043c\u0435\u0439\u0441\u0442\u0432\u0430 \u043a\u043e\u043d\u0438\u0447\u0435\u0441\u043a\u0438\u0445 \u0441\u0435\u0447\u0435\u043d\u0438\u0439 \u0431\u0435\u0437 \u043e\u0441\u043e\u0431\u044b\u0445 \u0442\u0440\u0443\u0434\u043d\u043e\u0441\u0442\u0435\u0439.<\/p>\n<p>   <a name=\"6\"><\/a><\/p>\n<h2>\u0420\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \u0437\u0430\u0434\u0430\u0447\u0438<\/h2>\n<p>   <center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/PKjQrcC0HG4\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/center><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u041a\u043e\u043d\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u0441\u0435\u0447\u0435\u043d\u0438\u044f: \u0425\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u0438\u0441\u0442\u0438\u043a\u0430 \u0438 \u0433\u0440\u0430\u0444\u0438\u043a\u0438 \u043f\u0430\u0440\u0430\u0431\u043e\u043b, \u044d\u043b\u043b\u0438\u043f\u0441\u043e\u0432 \u0438 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b \u0420\u0435\u0437\u044e\u043c\u0435: \u041d\u0430 \u044d\u0442\u043e\u043c \u0437\u0430\u043d\u044f\u0442\u0438\u0438 \u043c\u044b \u0440\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0438\u043c \u043a\u043e\u043d\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u0441\u0435\u0447\u0435\u043d\u0438\u044f (\u043f\u0430\u0440\u0430\u0431\u043e\u043b\u044b, \u044d\u043b\u043b\u0438\u043f\u0441\u044b \u0438 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b), \u043d\u0430\u0447\u0438\u043d\u0430\u044f \u0441 \u0438\u0445 \u043a\u0430\u043d\u043e\u043d\u0438\u0447\u0435\u0441\u043a\u0438\u0445 \u0438 \u043e\u0431\u0449\u0438\u0445 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439. \u041c\u044b \u043e\u0431\u044a\u044f\u0441\u043d\u0438\u043c, \u043a\u0430\u043a \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u0438 \u043e\u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u0438\u0437\u043e\u0432\u0430\u0442\u044c \u043a\u0430\u0436\u0434\u0443\u044e \u043a\u0440\u0438\u0432\u0443\u044e, \u0441\u043e\u0441\u0440\u0435\u0434\u043e\u0442\u043e\u0447\u0438\u0432 \u0432\u043d\u0438\u043c\u0430\u043d\u0438\u0435 \u043d\u0430 \u043a\u043b\u044e\u0447\u0435\u0432\u044b\u0445 \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u0430\u0445, \u0442\u0430\u043a\u0438\u0445 \u043a\u0430\u043a \u0432\u0435\u0440\u0448\u0438\u043d\u0430, \u0444\u043e\u043a\u0443\u0441 \u0438 \u043e\u0441\u044c \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0438 \u043f\u0430\u0440\u0430\u0431\u043e\u043b, \u0430 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