{"id":237,"date":"2023-07-10T19:00:18","date_gmt":"2023-07-10T19:00:18","guid":{"rendered":"https:\/\/mathority.org\/ru\/%d1%83%d1%80%d0%b0%d0%b2%d0%bd%d0%b5%d0%bd%d0%b8%d0%b5-%d0%be%d0%ba%d1%80%d1%83%d0%b6%d0%bd%d0%be%d1%81%d1%82%d0%b8-%d0%be%d0%b1%d1%8b%d1%87%d0%bd%d0%b0%d1%8f-%d1%84%d0%be%d1%80%d0%bc%d1%83%d0%bb\/"},"modified":"2023-07-10T19:00:18","modified_gmt":"2023-07-10T19:00:18","slug":"%d1%83%d1%80%d0%b0%d0%b2%d0%bd%d0%b5%d0%bd%d0%b8%d0%b5-%d0%be%d0%ba%d1%80%d1%83%d0%b6%d0%bd%d0%be%d1%81%d1%82%d0%b8-%d0%be%d0%b1%d1%8b%d1%87%d0%bd%d0%b0%d1%8f-%d1%84%d0%be%d1%80%d0%bc%d1%83%d0%bb","status":"publish","type":"post","link":"https:\/\/mathority.org\/ru\/%d1%83%d1%80%d0%b0%d0%b2%d0%bd%d0%b5%d0%bd%d0%b8%d0%b5-%d0%be%d0%ba%d1%80%d1%83%d0%b6%d0%bd%d0%be%d1%81%d1%82%d0%b8-%d0%be%d0%b1%d1%8b%d1%87%d0%bd%d0%b0%d1%8f-%d1%84%d0%be%d1%80%d0%bc%d1%83%d0%bb\/","title":{"rendered":"\u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438"},"content":{"rendered":"<p>\u041d\u0430 \u044d\u0442\u043e\u0439 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435 \u0432\u044b \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u0432\u0441\u0435 \u043e\u0431 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0438 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438: \u043e\u0431\u044b\u043a\u043d\u043e\u0432\u0435\u043d\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435, \u043e\u0431\u0449\u0435\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435, \u0434\u0440\u0443\u0433\u0438\u0435 \u0432\u0438\u0434\u044b \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438, \u043a\u043e\u0433\u0434\u0430 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438 \u0432\u0435\u0440\u043d\u043e,\u2026 \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0432\u044b \u0443\u0432\u0438\u0434\u0438\u0442\u0435 \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0442\u043e\u0433\u043e, \u043a\u0430\u043a \u043d\u0430\u0439\u0442\u0438 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438. \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438, \u0438 \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u043f\u0440\u0430\u043a\u0442\u0438\u043a\u043e\u0432\u0430\u0442\u044c\u0441\u044f \u0441 \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u043c\u0438 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f\u043c\u0438. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ecuacion-ordinaria-de-la-circunferencia\"><\/span> \u041e\u0431\u044b\u0447\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u041f\u0440\u0435\u0436\u0434\u0435 \u0447\u0435\u043c \u0440\u0430\u0437\u043e\u0431\u0440\u0430\u0442\u044c\u0441\u044f, \u0447\u0442\u043e \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u0441\u043e\u0431\u043e\u0439 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438, \u0434\u0430\u0432\u0430\u0439\u0442\u0435 \u0432\u0441\u043f\u043e\u043c\u043d\u0438\u043c \u043f\u043e\u043d\u044f\u0442\u0438\u0435 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438:<\/p>\n<p> \u041e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u044c \u2014 \u044d\u0442\u043e \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u043c\u0435\u0441\u0442\u043e \u0442\u043e\u0447\u0435\u043a \u043d\u0430 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438, \u0440\u0430\u0432\u043d\u043e\u0443\u0434\u0430\u043b\u0435\u043d\u043d\u044b\u0445 \u043e\u0442 \u0444\u0438\u043a\u0441\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u043e\u0439 \u0442\u043e\u0447\u043a\u0438, \u043d\u0430\u0437\u044b\u0432\u0430\u0435\u043c\u043e\u0439 \u0446\u0435\u043d\u0442\u0440\u043e\u043c. <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/equation-de-circonference-1.webp\" alt=\"\u043a\u0430\u043a\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438\" class=\"wp-image-1991\" width=\"288\" height=\"273\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0432\u0441\u0435 \u0442\u043e\u0447\u043a\u0438 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438 \u043d\u0430\u0445\u043e\u0434\u044f\u0442\u0441\u044f \u043d\u0430 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u043e\u043c \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0438 \u043e\u0442 \u0435\u0435 \u0446\u0435\u043d\u0442\u0440\u0430.<\/p>\n<p> \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u043a\u0440\u0443\u0433 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043e\u0434\u043d\u0438\u043c \u0438\u0437 \u0447\u0435\u0442\u044b\u0440\u0435\u0445 \u043a\u043e\u043d\u0438\u0447\u0435\u0441\u043a\u0438\u0445 \u0441\u0435\u0447\u0435\u043d\u0438\u0439 \u043d\u0430\u0440\u044f\u0434\u0443 \u0441 \u044d\u043b\u043b\u0438\u043f\u0441\u043e\u043c, \u043f\u0430\u0440\u0430\u0431\u043e\u043b\u043e\u0439 \u0438 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u043e\u0439. \u0422\u043e \u0435\u0441\u0442\u044c \u043a\u0440\u0443\u0433 \u043c\u043e\u0436\u043d\u043e \u043f\u043e\u043b\u0443\u0447\u0438\u0442\u044c, \u0440\u0430\u0437\u0440\u0435\u0437\u0430\u0432 \u043a\u043e\u043d\u0443\u0441 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044c\u044e, \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u043e\u0439 \u0435\u0433\u043e \u043e\u0441\u043d\u043e\u0432\u0430\u043d\u0438\u044e.<\/p>\n<p> \u0421\u0430\u043c\u044b\u0439 \u043f\u0440\u043e\u0441\u0442\u043e\u0439 \u0441\u043f\u043e\u0441\u043e\u0431 \u043e\u043f\u0438\u0441\u0430\u0442\u044c \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u044c \u0432 \u0434\u0435\u043a\u0430\u0440\u0442\u043e\u0432\u043e\u0439 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438 \u2014 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0435\u0435 \u043e\u0431\u044b\u0447\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435. \u0418\u0442\u0430\u043a, \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u043e\u0431\u044b\u0447\u043d\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438 \u0438\u043c\u0435\u0435\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0439 \u0432\u0438\u0434: <\/p>\n<div style=\"background-color:#FFCC8080;padding-top: 20px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 30px; border: 2px solid #FFB74D; border-radius:20px;\">\n<p style=\"text-align:left\"> <strong>\u041e\u0431\u044b\u0447\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438<\/strong> :<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-eb8ffc83b27f7ed251e2233abbce5046_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x-a)^2+(y-b)^2=r^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"183\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\"text-align:left; margin-bottom:4px\"> \u0417\u043e\u043b\u043e\u0442\u043e:<\/p>\n<ul>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c409433a9e2dfcdb83360a974d243f18_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u044d\u0442\u043e \u0440\u0430\u0434\u0438\u0443\u0441 \u043a\u0440\u0443\u0433\u0430.<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0418<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f56d50c26583f9a035ff6b4e3c0ca5c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0446\u0435\u043d\u0442\u0440\u0430 \u043a\u0440\u0443\u0433\u0430:<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3f5efef3ea46a765419553313f5ca6ec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"C(a,b)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"52\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<\/ul>\n<\/div>\n<p> \u0425\u043e\u0442\u044f \u043c\u044b \u043d\u0435 \u0431\u0443\u0434\u0435\u043c \u044d\u0442\u043e \u0434\u0435\u043c\u043e\u043d\u0441\u0442\u0440\u0438\u0440\u043e\u0432\u0430\u0442\u044c, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u044d\u0442\u043e \u043d\u0435\u043c\u043d\u043e\u0433\u043e \u0443\u0442\u043e\u043c\u0438\u0442\u0435\u043b\u044c\u043d\u043e, \u044d\u0442\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043c\u043e\u0436\u043d\u043e \u043f\u043e\u043b\u0443\u0447\u0438\u0442\u044c \u0438\u0437 \u0442\u0435\u043e\u0440\u0435\u043c\u044b \u041f\u0438\u0444\u0430\u0433\u043e\u0440\u0430.<\/p>\n<p> \u0414\u0430\u0432\u0430\u0439\u0442\u0435 \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0438\u043c, \u043a\u0430\u043a \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u044b\u0432\u0430\u0435\u0442\u0441\u044f \u043e\u0431\u044b\u043a\u043d\u043e\u0432\u0435\u043d\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438 \u043d\u0430 \u043f\u0440\u0438\u043c\u0435\u0440\u0435:<\/p>\n<ul>\n<li> \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u043e\u0431\u044b\u043a\u043d\u043e\u0432\u0435\u043d\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438 \u0440\u0430\u0434\u0438\u0443\u0441\u0430 5, \u0446\u0435\u043d\u0442\u0440\u043e\u043c \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0442\u043e\u0447\u043a\u0430\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-61ed8ca74441b9c9ed7efef1a47bd204_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"C(3,-1).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"72\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<\/ul>\n<p> \u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u043e\u0431\u044b\u0447\u043d\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-eb8ffc83b27f7ed251e2233abbce5046_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x-a)^2+(y-b)^2=r^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"183\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043d\u0430\u043c \u043e\u0441\u0442\u0430\u0435\u0442\u0441\u044f \u0442\u043e\u043b\u044c\u043a\u043e \u0437\u0430\u043c\u0435\u043d\u0438\u0442\u044c \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u043e\u0435<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c409433a9e2dfcdb83360a974d243f18_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u043f\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044e \u0440\u0430\u0434\u0438\u0443\u0441\u0430 \u0438 \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u043c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0418<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f56d50c26583f9a035ff6b4e3c0ca5c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u0430\u043c\u0438 X \u0438 Y \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0435\u043d\u043d\u043e \u0446\u0435\u043d\u0442\u0440\u0430 \u043a\u0440\u0443\u0433\u0430:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2b3bfb9b8a5a2dfb5d73ed3986567c4f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x-3)^2+(y-(-1))^2=5^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"211\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0418\u0442\u0430\u043a, \u043e\u0431\u044b\u0447\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5847df3cfa46d4ba66d0caba4026dabe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{(x-3)^2+(y+1)^2=25}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"185\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ecuacion-general-de-la-circunferencia\"><\/span> \u041e\u0431\u0449\u0435\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0414\u0440\u0443\u0433\u043e\u0439 \u0442\u0438\u043f \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438 \u2014 \u044d\u0442\u043e \u043e\u0431\u0449\u0435\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435, \u0444\u0430\u043a\u0442\u0438\u0447\u0435\u0441\u043a\u0438 \u043e\u043d\u043e \u043d\u0430\u0438\u0431\u043e\u043b\u0435\u0435 \u0447\u0430\u0441\u0442\u043e \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c\u043e\u0435. \u0417\u0430\u0442\u0435\u043c \u043c\u044b \u0443\u0432\u0438\u0434\u0438\u043c, \u043a\u0430\u043a \u043f\u043e\u043b\u0443\u0447\u0438\u0442\u044c \u043e\u0431\u0449\u0435\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043b\u044e\u0431\u043e\u0439 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438 \u0438\u0437 \u0435\u0435 \u043e\u0431\u044b\u0447\u043d\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f.<\/p>\n<p> \u0420\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0438\u043c \u043e\u0431\u044b\u0447\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-eb8ffc83b27f7ed251e2233abbce5046_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x-a)^2+(y-b)^2=r^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"183\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0415\u0441\u043b\u0438 \u043c\u044b \u0440\u0430\u0437\u0440\u0430\u0431\u043e\u0442\u0430\u0435\u043c \u0437\u0430\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0435 \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u0430 (\u0438\u043b\u0438 \u0437\u0430\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044f):<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a4d2b00fd17214927aa165291c8aebce_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2+a^2-2ax+y^2+b^2-2by=r^2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"269\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6f787480794d72c03ba5880758dedeee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2-2ax+y^2-2by+a^2+b^2-r^2=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"300\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> \u0422\u0435\u043f\u0435\u0440\u044c \u0434\u0435\u043b\u0430\u0435\u043c 3 \u0437\u0430\u043c\u0435\u043d\u044b \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0445:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0f0414589c97ababc91d90e8b4d76f3c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A=-2a \\qquad B=-2b \\qquad C=a^2+b^2-r^2\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"337\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p> \u0418 \u043d\u0430\u043a\u043e\u043d\u0435\u0446 \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\u0438: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8890b7cc400fafc2f805ca67e08881ea_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2+y^2+Ax+By+C=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"215\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<div style=\"background-color:#FFCC8080;padding-top: 20px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 30px; border: 2px solid #FFB74D; border-radius:20px;\">\n<p style=\"text-align:left\"> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0444\u043e\u0440\u043c\u0443\u043b\u0430 <strong>\u043e\u0431\u0449\u0435\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438<\/strong> \u0438\u043c\u0435\u0435\u0442 \u0432\u0438\u0434:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8890b7cc400fafc2f805ca67e08881ea_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2+y^2+Ax+By+C=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"215\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p style=\"text-align:left\"> \u0433\u0434\u0435 \u0446\u0435\u043d\u0442\u0440 \u043a\u0440\u0443\u0433\u0430:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e64305413efd35fdc4d0650acf78623d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle C\\left(-\\frac{A}{2}, -\\frac{B}{2}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"111\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\"text-align:left\"> \u0410 \u0440\u0430\u0434\u0438\u0443\u0441 \u043a\u0440\u0443\u0433\u0430:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ee6df58c142869c04d0db23bda17b0fc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle r=\\sqrt{\\left(\\frac{A}{2}\\right)^2 +\\left(\\frac{B}{2}\\right)^2-C}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"211\" style=\"vertical-align: -19px;\"><\/p>\n<\/p>\n<\/div>\n<p> \u0418\u0442\u0430\u043a, \u044d\u0442\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438 \u0432\u0441\u0435\u0433\u0434\u0430 \u043f\u043e\u043b\u0443\u0447\u0430\u0435\u0442\u0441\u044f \u0438\u0437 \u043e\u0431\u044b\u0447\u043d\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f. \u0412\u043e\u0442 \u043f\u0440\u0438\u043c\u0435\u0440, \u0447\u0442\u043e\u0431\u044b \u0443\u0432\u0438\u0434\u0435\u0442\u044c, \u043a\u0430\u043a \u044d\u0442\u043e \u0434\u0435\u043b\u0430\u0435\u0442\u0441\u044f:<\/p>\n<ul>\n<li> \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u043e\u0431\u0449\u0435\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438 \u0440\u0430\u0434\u0438\u0443\u0441\u0430 6, \u0446\u0435\u043d\u0442\u0440\u043e\u043c \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0442\u043e\u0447\u043a\u0430\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-39163542e992aade309d98d420e1a89e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"C(2,4).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"58\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<\/ul>\n<p> \u0421\u043d\u0430\u0447\u0430\u043b\u0430 \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u043d\u0430\u0439\u0442\u0438 \u043e\u0431\u044b\u0447\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438. \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u0432\u043e\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c\u0441\u044f \u0435\u0433\u043e \u0444\u043e\u0440\u043c\u0443\u043b\u043e\u0439:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-eb8ffc83b27f7ed251e2233abbce5046_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x-a)^2+(y-b)^2=r^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"183\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0b24acf89d8fb3cfb6b48d8ce985f3e2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x-2)^2+(y-4)^2=6^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"184\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0418 \u0442\u0435\u043f\u0435\u0440\u044c \u0434\u0435\u0439\u0441\u0442\u0432\u0443\u0435\u043c \u0434\u043e \u0442\u0435\u0445 \u043f\u043e\u0440, \u043f\u043e\u043a\u0430 \u043d\u0435 \u043d\u0430\u0439\u0434\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\u0438, \u0442\u043e \u0435\u0441\u0442\u044c \u0434\u043e \u0442\u0435\u0445 \u043f\u043e\u0440, \u043f\u043e\u043a\u0430 \u043c\u044b \u043d\u0435 \u0441\u043c\u043e\u0436\u0435\u043c \u0431\u043e\u043b\u044c\u0448\u0435 \u0443\u043f\u0440\u043e\u0449\u0430\u0442\u044c: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-68b827aa8155ab22926ac9ab1ae78745_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2+2^2-2\\cdot x \\cdot 2+y^2+4^2-2\\cdot y \\cdot 4=36\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"324\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e6651ecf7c153c784e8a0c7e01522be4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2+4-4x+y^2+16-8y=36\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"249\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0e0dcac8662f04c52e566c31069c1615_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2-4x+y^2-8y+4+16-36=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"279\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e73476ebd4ceb89a5683bcb06af09eda_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2-4x+y^2-8y-16=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"209\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> \u0418\u0442\u0430\u043a, \u043e\u0431\u0449\u0435\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043a\u0440\u0443\u0433\u0430:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-cdb5e1831804822235795e661323b911_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{x^2+y^2-4x-8y-16=0}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"209\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> \u0425\u043e\u0442\u044f \u0437\u0430\u0434\u0430\u0447\u0430 \u044d\u0442\u043e\u0433\u043e \u0438 \u043d\u0435 \u0442\u0440\u0435\u0431\u043e\u0432\u0430\u043b\u0430, \u0442\u0435\u043f\u0435\u0440\u044c \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0446\u0435\u043d\u0442\u0440 \u0438 \u0440\u0430\u0434\u0438\u0443\u0441 \u043d\u0430\u0439\u0434\u0435\u043d\u043d\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f, \u0447\u0442\u043e\u0431\u044b \u0443\u0431\u0435\u0434\u0438\u0442\u044c\u0441\u044f \u0432 \u0435\u0433\u043e \u043f\u0440\u0430\u0432\u0438\u043b\u044c\u043d\u043e\u0441\u0442\u0438.<\/p>\n<p> \u0414\u043b\u044f \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0446\u0435\u043d\u0442\u0440\u0430 \u043a\u0440\u0443\u0433\u0430 \u0432\u043e\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c\u0441\u044f \u0435\u0433\u043e \u0444\u043e\u0440\u043c\u0443\u043b\u043e\u0439: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e64305413efd35fdc4d0650acf78623d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle C\\left(-\\frac{A}{2}, -\\frac{B}{2}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"111\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a0eb46f8005ca0cb4418d019c01d090b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle C\\left(-\\frac{-4}{2}, -\\frac{-8}{2}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"128\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8350046e2eed3457177b5d4c040fcdcf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle C\\bigl(-(-2), -(-4)\\bigr)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"137\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fa2b1a6a7b85d8f05bf091b50d99e060_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle C\\left(2,4\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"56\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0424\u0430\u043a\u0442\u0438\u0447\u0435\u0441\u043a\u0438 \u0446\u0435\u043d\u0442\u0440 \u043a\u0440\u0443\u0433\u0430 \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u0435\u0442 \u0441 \u0446\u0435\u043d\u0442\u0440\u043e\u043c \u0443\u0442\u0432\u0435\u0440\u0436\u0434\u0435\u043d\u0438\u044f.<\/p>\n<p> \u0422\u0430\u043a\u0436\u0435 \u043f\u0440\u043e\u0432\u0435\u0440\u044f\u0435\u043c \u0440\u0430\u0434\u0438\u0443\u0441 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438 \u043f\u043e \u0435\u0433\u043e \u0444\u043e\u0440\u043c\u0443\u043b\u0435:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-04dc99d462a8ceb5e6dca936999a4ce8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{aligned} r &amp; = \\sqrt{\\left(\\frac{A}{2}\\right)^2 +\\left(\\frac{B}{2}\\right)^2-C} \\\\[2ex] &amp; =\\sqrt{\\left(\\frac{-4}{2}\\right)^2 +\\left(\\frac{-8}{2}\\right)^2-(-16)} \\\\[2ex] &amp; =\\sqrt{\\left(-2\\right)^2 +\\left(-4\\right)^2+16} \\\\[2ex] &amp;= \\sqrt{4+16+16} \\\\[2ex] &amp;= \\sqrt{36} \\\\[2ex] &amp; = 6 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"309\" width=\"260\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0418 \u0440\u0430\u0434\u0438\u0443\u0441 \u0442\u0430\u043a\u0436\u0435 \u0440\u0430\u0432\u0435\u043d \u0440\u0430\u0434\u0438\u0443\u0441\u0443 \u0443\u0442\u0432\u0435\u0440\u0436\u0434\u0435\u043d\u0438\u044f. \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u043d\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438 \u0432\u0435\u0440\u043d\u043e.<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"existencia-de-una-circunferencia\"><\/span> \u041d\u0430\u043b\u0438\u0447\u0438\u0435 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0412\u0441\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0432 \u0432\u0438\u0434\u0435<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8890b7cc400fafc2f805ca67e08881ea_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2+y^2+Ax+By+C=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"215\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0442 \u043a\u0440\u0443\u0433\u0443. \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0447\u0442\u043e\u0431\u044b \u044d\u0442\u043e\u0442 \u0442\u0438\u043f \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u044f \u0434\u0435\u0439\u0441\u0442\u0432\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u0431\u044b\u043b \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435\u043c \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438, \u0434\u043e\u043b\u0436\u043d\u044b \u0431\u044b\u0442\u044c \u0432\u044b\u043f\u043e\u043b\u043d\u0435\u043d\u044b \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 3 \u0443\u0441\u043b\u043e\u0432\u0438\u044f:<\/p>\n<ol style=\"color:#ff6f00; font-weight: bold;>\n<li><span style=\" color:#262626;font-weight:=\"\" normal;\"=\"\">\n<li style=\"margin-bottom:18px\"><span style=\"color:#000000;font-weight: normal;\">\u041a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u044b\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-76e092d71026e8d64e9e3fc6857554cc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"17\" style=\"vertical-align: 0px;\"><\/p>\n<p><\/span> \u0438 \u0438\u0437<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c73c29a3e05add4949b9207310200e96_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y^2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"16\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u043e\u043d\u0438 \u0434\u043e\u043b\u0436\u043d\u044b \u0431\u044b\u0442\u044c \u0440\u0430\u0432\u043d\u044b 1. \u0418\u043c\u0435\u0439\u0442\u0435 \u0432 \u0432\u0438\u0434\u0443, \u0447\u0442\u043e \u0435\u0441\u043b\u0438 \u043e\u0431\u0435\u0438\u043c \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u043c \u043f\u0440\u0435\u0434\u0448\u0435\u0441\u0442\u0432\u043e\u0432\u0430\u043b\u043e \u0447\u0438\u0441\u043b\u043e, \u043e\u0442\u043b\u0438\u0447\u043d\u043e\u0435 \u043e\u0442 \u0435\u0434\u0438\u043d\u0438\u0446\u044b, \u043d\u043e \u043e\u043d\u0438 \u043e\u0431\u0435 \u0438\u043c\u0435\u043b\u0438 \u043e\u0434\u0438\u043d \u0438 \u0442\u043e\u0442 \u0436\u0435 \u043d\u043e\u043c\u0435\u0440, \u0432\u0441\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043c\u043e\u0436\u043d\u043e \u0431\u044b\u043b\u043e \u0431\u044b \u0440\u0430\u0437\u0434\u0435\u043b\u0438\u0442\u044c \u043d\u0430 \u044d\u0442\u043e \u0447\u0438\u0441\u043b\u043e \u0442\u0430\u043a, \u0447\u0442\u043e\u0431\u044b \u0438\u0445 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u044b \u0431\u044b\u043b\u0438 \u0440\u0430\u0432\u043d\u044b 1.<\/li>\n<li style=\"margin-bottom:18px\"> <span style=\"color:#000000;font-weight: normal;\">\u0412 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0438 \u043d\u0435 \u043c\u043e\u0436\u0435\u0442 \u0431\u044b\u0442\u044c \u0447\u043b\u0435\u043d\u0430\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ce7d7fd003c1b94cfc8c5c46f148f714_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"xy.\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"23\" style=\"vertical-align: -4px;\"><\/p>\n<p><\/span><\/li>\n<li style=\"margin-bottom:18px\"> <span style=\"color:#000000;font-weight: normal;\">\u0421\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435 \u0434\u043e\u043b\u0436\u043d\u043e \u0431\u044b\u0442\u044c \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u043c:<\/span> <\/li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ffc789338787de266be2abc66e24a455_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left(\\frac{A}{2}\\right)^2+\\left(\\frac{B}{2}\\right)^2-C>0&#8243; title=&#187;Rendered by QuickLaTeX.com&#187; height=&#187;47&#8243; width=&#187;190&#8243; style=&#187;vertical-align: -17px;&#187;><\/p>\n<\/p>\n<\/ol>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"otros-tipos-de-ecuaciones-de-la-circunferencia\"><\/span> \u0414\u0440\u0443\u0433\u0438\u0435 \u0442\u0438\u043f\u044b \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0414\u0432\u0430 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u043c\u044b \u0432\u0438\u0434\u0435\u043b\u0438, \u043e\u0431\u044b\u0447\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0438 \u043e\u0431\u0449\u0435\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435, \u043d\u0430\u0438\u0431\u043e\u043b\u0435\u0435 \u0447\u0430\u0441\u0442\u043e \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044e\u0442\u0441\u044f \u0434\u043b\u044f \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u044f \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438 \u043d\u0430 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438 (\u0432 R2). \u041e\u0434\u043d\u0430\u043a\u043e \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u0442\u0438\u043f\u043e\u0432 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0434\u043b\u044f \u043e\u043f\u0438\u0441\u0430\u043d\u0438\u044f \u044d\u0442\u043e\u0433\u043e \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u043e\u0431\u044a\u0435\u043a\u0442\u0430, \u043d\u0438\u0436\u0435 \u043f\u0440\u0438\u0432\u043e\u0434\u0438\u0442\u0441\u044f \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u0438\u0435 \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u0438\u0437 \u043d\u0438\u0445. <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ecuacion-canonica-de-la-circunferencia\"><\/span> \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\u0438<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> \u041a\u0430\u043d\u043e\u043d\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0438\u043b\u0438 \u0441\u043e\u043a\u0440\u0430\u0449\u0435\u043d\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f \u0434\u043b\u044f \u043e\u043f\u0438\u0441\u0430\u043d\u0438\u044f \u043b\u044e\u0431\u043e\u0439 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438 <strong>, \u0446\u0435\u043d\u0442\u0440 \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u043d\u0430\u0445\u043e\u0434\u0438\u0442\u0441\u044f \u0432 \u043d\u0430\u0447\u0430\u043b\u0435 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442<\/strong> , \u0442\u043e \u0435\u0441\u0442\u044c \u0432 \u0442\u043e\u0447\u043a\u0435 (0,0). \u0423\u043a\u0430\u0437\u0430\u043d\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0432\u044b\u0433\u043b\u044f\u0434\u0438\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c8837a5c798c950520f838adb2826aa8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2+y^2=r^2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"96\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> \u0415\u0441\u043b\u0438 \u0431\u044b, \u043a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0440\u0430\u0434\u0438\u0443\u0441 \u0431\u044b\u043b \u044d\u043a\u0432\u0438\u0432\u0430\u043b\u0435\u043d\u0442\u0435\u043d \u0435\u0434\u0438\u043d\u0438\u0446\u0435 (1), \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438 \u0431\u044b\u043b\u043e \u0431\u044b:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6638c5ad97a435df56133e8b04c26ff4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2+y^2=1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"88\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> \u042d\u0442\u043e \u043f\u043e\u0441\u043b\u0435\u0434\u043d\u0435\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u0433\u043e\u043d\u0438\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u0434\u043b\u0438\u043d\u0435 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438, \u0442\u0430\u043a\u0436\u0435 \u043d\u0430\u0437\u044b\u0432\u0430\u0435\u043c\u043e\u0439 \u0435\u0434\u0438\u043d\u0438\u0447\u043d\u043e\u0439 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u044c\u044e \u0438\u043b\u0438 \u0435\u0434\u0438\u043d\u0438\u0447\u043d\u044b\u043c \u043a\u0440\u0443\u0433\u043e\u043c. \u042d\u0442\u043e \u043a\u0440\u0443\u0433 \u0440\u0430\u0434\u0438\u0443\u0441\u0430 1 \u0441 \u0446\u0435\u043d\u0442\u0440\u043e\u043c \u0432 \u043d\u0430\u0447\u0430\u043b\u0435 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442. <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ecuaciones-de-dos-circunferencias-concentricas\"><\/span> \u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0434\u0432\u0443\u0445 \u043a\u043e\u043d\u0446\u0435\u043d\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0438\u0445 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0435\u0439<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> \u0414\u0432\u0430 \u043a\u043e\u043d\u0446\u0435\u043d\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0438\u0445 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u2013 \u044d\u0442\u043e \u0442\u0435, \u0443 \u043a\u043e\u0442\u043e\u0440\u044b\u0445 \u0446\u0435\u043d\u0442\u0440 \u043d\u0430\u0445\u043e\u0434\u0438\u0442\u0441\u044f \u0432 \u043e\u0434\u043d\u043e\u0439 \u0442\u043e\u0447\u043a\u0435. \u0418 \u0435\u0434\u0438\u043d\u0441\u0442\u0432\u0435\u043d\u043d\u043e\u0435 \u043e\u0442\u043b\u0438\u0447\u0438\u0435 \u0434\u0432\u0443\u0445 \u043a\u043e\u043d\u0446\u0435\u043d\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0438\u0445 \u043a\u0440\u0443\u0433\u043e\u0432 \u2013 \u044d\u0442\u043e \u0440\u0430\u0434\u0438\u0443\u0441.<\/p>\n<p> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0447\u0442\u043e\u0431\u044b \u044d\u0442\u043e \u0443\u0441\u043b\u043e\u0432\u0438\u0435 \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u043b\u043e\u0441\u044c, <strong>\u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0434\u0432\u0443\u0445 \u043a\u043e\u043d\u0446\u0435\u043d\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0438\u0445 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0435\u0439 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u043e \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u044b, \u0437\u0430 \u0438\u0441\u043a\u043b\u044e\u0447\u0435\u043d\u0438\u0435\u043c \u0438\u0445 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0445 \u0447\u043b\u0435\u043d\u043e\u0432, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u0434\u043e\u043b\u0436\u043d\u044b \u0431\u044b\u0442\u044c \u0440\u0430\u0437\u043d\u044b\u043c\u0438.<\/strong><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8890b7cc400fafc2f805ca67e08881ea_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2+y^2+Ax+By+C=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"215\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c0ebfea4141df270980aa34c849d6cfa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2+y^2+Ax+By+C'=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"220\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0434\u0432\u0435 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438 \u043a\u043e\u043d\u0446\u0435\u043d\u0442\u0440\u0438\u0447\u043d\u044b, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0432\u0441\u0435 \u0438\u0445 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u044b \u0438\u0434\u0435\u043d\u0442\u0438\u0447\u043d\u044b, \u0437\u0430 \u0438\u0441\u043a\u043b\u044e\u0447\u0435\u043d\u0438\u0435\u043c \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0445 \u0447\u043b\u0435\u043d\u043e\u0432: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7da3e573efeee0a54f17639bb938d787_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2+y^2+3x-4y+1=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"200\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e569a0908d1a2537bf5dd0d5fcaa76bc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2+y^2+3x-4y+5=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"200\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ecuacion-parametrica-de-la-circunferencia\"><\/span> \u041f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\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\u0438<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> \u041a\u0430\u043a \u0438 \u043b\u0438\u043d\u0438\u044f, \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438 \u0442\u0430\u043a\u0436\u0435 \u043c\u043e\u0436\u043d\u043e \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0438\u0437\u043e\u0432\u0430\u0442\u044c \u0442\u0440\u0438\u0433\u043e\u043d\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0438\u043c\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u044f\u043c\u0438 \u0441\u0438\u043d\u0443\u0441\u0430 \u0438 \u043a\u043e\u0441\u0438\u043d\u0443\u0441\u0430. \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438 \u0438\u043c\u0435\u044e\u0442 \u0432\u0438\u0434:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-72dae5b3c5f775661ecb102945bb3fbd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\diplaystyle \\begin{cases}x= a + r \\cdot \\text{cos}(t) \\\\[2ex] y= b + r\\cdot \\text{sen}(t)\\end{cases} \\qquad t\\in[0,2\\pi)\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"275\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0433\u0434\u0435 \u0442\u043e\u0447\u043a\u0430<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fe11303e9d78d9884d5ce80743b4e853_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a,b)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"37\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0446\u0435\u043d\u0442\u0440\u043e\u043c \u043a\u0440\u0443\u0433\u0430 \u0438<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c409433a9e2dfcdb83360a974d243f18_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u042d\u0442\u043e \u0432\u0430\u0448 \u043e\u0442\u0434\u0435\u043b. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-la-ecuacion-de-una-circunferencia\"><\/span> \u0420\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \u0437\u0430\u0434\u0430\u0447\u0438 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\"> \u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 1<\/h3>\n<p> \u0412\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u0435 \u043e\u0431\u0449\u0435\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438 \u0440\u0430\u0434\u0438\u0443\u0441\u0430 5, \u0446\u0435\u043d\u0442\u0440 \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u043d\u0430\u0445\u043e\u0434\u0438\u0442\u0441\u044f \u0432 \u0442\u043e\u0447\u043a\u0435 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c5fa41d0801e98e2a7874c963fff73d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"C(-1,2).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"71\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u0427\u0442\u043e\u0431\u044b \u043d\u0430\u0439\u0442\u0438 \u043e\u0431\u0449\u0435\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438, \u043d\u0443\u0436\u043d\u043e \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u043d\u0430\u0439\u0442\u0438 \u0435\u0435 \u043e\u0431\u044b\u043a\u043d\u043e\u0432\u0435\u043d\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435. \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u0432\u043e\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c\u0441\u044f \u0444\u043e\u0440\u043c\u0443\u043b\u043e\u0439 \u043e\u0431\u044b\u0447\u043d\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-eb8ffc83b27f7ed251e2233abbce5046_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x-a)^2+(y-b)^2=r^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"183\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6aaa336cc3cb4df0e6bfe594bb6e7d22_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x-(-1))^2+(y-2)^2=5^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"211\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2647ce60ac9f3b4bddf17ded227da332_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x+1)^2+(y-2)^2=25\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"185\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0417\u043d\u0430\u044f \u043e\u0431\u044b\u0447\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435, \u043c\u044b \u0440\u0430\u0431\u043e\u0442\u0430\u0435\u043c, \u043f\u043e\u043a\u0430 \u043d\u0435 \u043d\u0430\u0439\u0434\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\u0438: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-dacb70230bf38f0719ef399c3bf97727_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2+1^2+2\\cdot x \\cdot 1+y^2+2^2-2\\cdot y \\cdot 2=25\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"323\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c540e082018d26478d17e7cd1991280e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2+1+2x+y^2+4-4y=25\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"239\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a84db66d6be46dcd6577bc788051cc6f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2+2x+y^2-4y+1+4-25=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"270\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-61dbc21597fd549b0826f81395467ae8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2+2x+y^2-4y-20=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"209\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418\u0442\u0430\u043a, \u043e\u0431\u0449\u0435\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043a\u0440\u0443\u0433\u0430: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d0aad138d023e75ed59b3fa7b89247ea_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{x^2+y^2+2x-4y-20=0}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"209\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 2<\/h3>\n<p> \u0414\u043b\u044f \u043a\u0430\u0436\u0434\u043e\u0439 \u0438\u0437 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0445 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0435\u0439 \u043d\u0430\u0439\u0434\u0438\u0442\u0435 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0435\u0435 \u0446\u0435\u043d\u0442\u0440\u0430 \u0438 \u0434\u043b\u0438\u043d\u0443 \u0435\u0435 \u0440\u0430\u0434\u0438\u0443\u0441\u0430. <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-93caa68e4fb4ec47816d1d8e6bf3a406_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)}\\ (x-2)^2+(y+5)^2=36\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"213\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-eb7951cbb0d649bd68e0a7be0d66281c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)}\\  x^2+y^2+8x-10y+1 = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"234\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b63bd92988f9ebb0e256e7b6f72120e4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)}\\ x^2+y^2=4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"115\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> <strong>\u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u044c \u0410)<\/strong><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c8c045e659d071fcc7f64053f6be107f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x-2)^2+(y+5)^2=36\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"186\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0414\u043b\u0438\u043d\u0430 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438 \u0432\u044b\u0440\u0430\u0436\u0430\u0435\u0442\u0441\u044f \u0432 \u0432\u0438\u0434\u0435 \u043e\u0431\u044b\u043a\u043d\u043e\u0432\u0435\u043d\u043d\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f, \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u043a\u043e\u0442\u043e\u0440\u043e\u0433\u043e:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-eb8ffc83b27f7ed251e2233abbce5046_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x-a)^2+(y-b)^2=r^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"183\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0446\u0435\u043d\u0442\u0440\u0430 \u043a\u0440\u0443\u0433\u0430: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3f5efef3ea46a765419553313f5ca6ec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"C(a,b)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"52\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-aeae2f2253b0e865affe7eb4e4045c5a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{C(2,-5)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"67\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418 \u0435\u0433\u043e \u0440\u0430\u0434\u0438\u0443\u0441: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-600a7310c5834d8d3fad25e89deba0a1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r^2=36\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"58\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9233e539f37236d7548131ed75ad1e86_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{r=6}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"41\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<hr class=\"wp-block-separator has-text-color has-pale-cyan-blue-color has-css-opacity has-pale-cyan-blue-background-color has-background\">\n<p class=\"has-text-align-left\"> <strong>\u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u044c \u0411)<\/strong><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-253fa91392e1e066a52be943874175cf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2+y^2+8x-10y+1 = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"209\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u042d\u0442\u0430 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u044c \u0432\u044b\u0440\u0430\u0436\u0430\u0435\u0442\u0441\u044f \u0432 \u0432\u0438\u0434\u0435 \u043e\u0431\u0449\u0435\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0434\u043b\u044f \u0440\u0430\u0441\u0447\u0435\u0442\u0430 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442 \u0435\u0435 \u0446\u0435\u043d\u0442\u0440\u0430 \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0443\u044e \u0444\u043e\u0440\u043c\u0443\u043b\u0443: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e64305413efd35fdc4d0650acf78623d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle C\\left(-\\frac{A}{2}, -\\frac{B}{2}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"111\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-554c02287c317db9bfad3ee656ffc4d6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle C\\left(-\\frac{8}{2}, -\\frac{-10}{2}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"124\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e07d270b9ef4a798ab46911132c60bf0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle C\\bigl(-4, -(-5)\\bigr)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"110\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9eb4c6f0c580fa8cd0304d95339f1e49_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{C(-4, 5)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"66\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0421 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u0434\u043b\u044f \u043d\u0430\u0445\u043e\u0436\u0434\u0435\u043d\u0438\u044f \u0440\u0430\u0434\u0438\u0443\u0441\u0430 \u043a\u0440\u0443\u0433\u0430:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b0cdc38937e6c36bb9e6d2ca0814a650_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{aligned} r &amp; = \\sqrt{\\left(\\frac{A}{2}\\right)^2 +\\left(\\frac{B}{2}\\right)^2-C} \\\\[2ex] &amp; =\\sqrt{\\left(\\frac{8}{2}\\right)^2 +\\left(\\frac{-10}{2}\\right)^2-1} \\\\[2ex] &amp; =\\sqrt{\\left(4\\right)^2 +\\left(-5\\right)^2-1} \\\\[2ex] &amp;= \\sqrt{16+25-1} \\\\[2ex] &amp;= \\bm{\\sqrt{40}} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"269\" width=\"218\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> <strong>\u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u044c \u0421)<\/strong><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-91652bf524a31b3abfbacf829d5c3024_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2+y^2=4\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"89\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0414\u043b\u0438\u043d\u0430 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438 \u0432\u044b\u0440\u0430\u0436\u0430\u0435\u0442\u0441\u044f \u0432 \u0432\u0438\u0434\u0435 \u043e\u0431\u044b\u043a\u043d\u043e\u0432\u0435\u043d\u043d\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f, \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u043a\u043e\u0442\u043e\u0440\u043e\u0433\u043e:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-eb8ffc83b27f7ed251e2233abbce5046_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x-a)^2+(y-b)^2=r^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"183\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0446\u0435\u043d\u0442\u0440\u0430 \u043a\u0440\u0443\u0433\u0430:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3f5efef3ea46a765419553313f5ca6ec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"C(a,b)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"52\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0412 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043d\u0435 \u0438\u043c\u0435\u0435\u0442 \u0447\u043b\u0435\u043d\u0430.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u043d\u0438 \u043e\u0434\u0438\u043d<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a521efcd0a946cd643aebe98b5b41a3c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b,\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"12\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043e\u043d \u0446\u0435\u043d\u0442\u0440\u0438\u0440\u0443\u0435\u0442\u0441\u044f \u0432 \u043d\u0430\u0447\u0430\u043b\u0435 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-af6eeb157115e2a18cfa38f09fc11d85_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{C(0,0)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"53\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418 \u0435\u0433\u043e \u0440\u0430\u0434\u0438\u0443\u0441: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6f15f619bc019d0f668cff042ed62ed6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r^2=4\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"49\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4964d8cfd7ef22134e4d600697e4841d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{r=2}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"40\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 3<\/h3>\n<p> \u041a\u0430\u043a\u043e\u0435 \u0438\u0437 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0445 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435\u043c \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438? <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-669f1a6230f3055c7cb7a40db679ef48_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)}\\ x^2+y^2+4x-6y-1=0\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"226\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ef04a07d4a0089b39ecbc9de3047c185_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)}\\  x^2+y^2+5x+5y+2xy-4 = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"276\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bdd38651c9b1ac5cbfc2315da374ead6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)}\\ 2x^2+2y^2-8x+4y+2=0\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"244\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f222b1efd24b2c061b293b5d0d12a374_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)}\\ x^2+y^2+x+2y+6=0\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"218\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u0427\u0442\u043e\u0431\u044b \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435 \u0431\u044b\u043b\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435\u043c \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438, \u0434\u043e\u043b\u0436\u043d\u044b \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u0442\u044c\u0441\u044f \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0443\u0441\u043b\u043e\u0432\u0438\u044f:<\/p>\n<p class=\"has-text-align-left\"> <strong>1.<\/strong> \u041a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u044b<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-76e092d71026e8d64e9e3fc6857554cc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"17\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0438 \u0438\u0437<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c73c29a3e05add4949b9207310200e96_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y^2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"16\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u041e\u043d\u0438 \u0434\u043e\u043b\u0436\u043d\u044b \u0431\u044b\u0442\u044c \u0440\u0430\u0432\u043d\u044b 1.<br \/> <strong>2.<\/strong> \u0412 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0438 \u043d\u0435 \u043c\u043e\u0436\u0435\u0442 \u0431\u044b\u0442\u044c \u0447\u043b\u0435\u043d\u0430<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ce7d7fd003c1b94cfc8c5c46f148f714_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"xy.\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"23\" style=\"vertical-align: -4px;\"><\/p>\n<p> <strong>3.<\/strong><\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ffc789338787de266be2abc66e24a455_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left(\\frac{A}{2}\\right)^2+\\left(\\frac{B}{2}\\right)^2-C>0&#8243; title=&#187;Rendered by QuickLaTeX.com&#187; height=&#187;47&#8243; width=&#187;190&#8243; style=&#187;vertical-align: -17px;&#187;><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0443\u0431\u0435\u0434\u0438\u0442\u044c\u0441\u044f, \u0447\u0442\u043e \u044d\u0442\u0438 \u0442\u0440\u0438 \u0443\u0441\u043b\u043e\u0432\u0438\u044f \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u044e\u0442\u0441\u044f \u0434\u043b\u044f \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f. <\/p>\n<hr class=\"wp-block-separator has-text-color has-pale-cyan-blue-color has-css-opacity has-pale-cyan-blue-background-color has-background\">\n<p class=\"has-text-align-left\"> <strong>\u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0410)<\/strong><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a6a81516c0f8432b89f8bc6f90ac9812_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2+y^2+4x-6y-1=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"200\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u044b<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-76e092d71026e8d64e9e3fc6857554cc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"17\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0418<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c73c29a3e05add4949b9207310200e96_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y^2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"16\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0440\u0430\u0432\u043d\u044b 1, \u0438 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043d\u0435 \u0438\u043c\u0435\u0435\u0442 \u0447\u043b\u0435\u043d\u0430<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ce7d7fd003c1b94cfc8c5c46f148f714_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"xy.\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"23\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u0434\u043e\u0441\u0442\u0430\u0442\u043e\u0447\u043d\u043e \u043f\u0440\u043e\u0432\u0435\u0440\u0438\u0442\u044c \u0442\u0440\u0435\u0442\u044c\u0435 \u0443\u0441\u043b\u043e\u0432\u0438\u0435: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ffc789338787de266be2abc66e24a455_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left(\\frac{A}{2}\\right)^2+\\left(\\frac{B}{2}\\right)^2-C>0&#8243; title=&#187;Rendered by QuickLaTeX.com&#187; height=&#187;47&#8243; width=&#187;190&#8243; style=&#187;vertical-align: -17px;&#187;><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-48023f09730538bbe1c444ce95734453_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left(\\frac{4}{2}\\right)^2+\\left(\\frac{-6}{2}\\right)^2-(-1)>0&#8243; title=&#187;Rendered by QuickLaTeX.com&#187; height=&#187;47&#8243; width=&#187;216&#8243; style=&#187;vertical-align: -17px;&#187;><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5ef2259d5b4e8e18842abbb767a7b293_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle 2^2+\\left(-3\\right)^2+1>0&#8243; title=&#187;Rendered by QuickLaTeX.com&#187; height=&#187;22&#8243; width=&#187;146&#8243; style=&#187;vertical-align: -5px;&#187;><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-59ef896ffd96e877fbf3198732f2d3af_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle 4+9+1>0&#8243; title=&#187;Rendered by QuickLaTeX.com&#187; height=&#187;14&#8243; width=&#187;103&#8243; style=&#187;vertical-align: -2px;&#187;><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-91029a12fff0b2f34276f8692b5173a1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle 14>0&#8243; title=&#187;Rendered by QuickLaTeX.com&#187; height=&#187;14&#8243; width=&#187;49&#8243; style=&#187;vertical-align: -2px;&#187;><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0443\u0434\u043e\u0432\u043b\u0435\u0442\u0432\u043e\u0440\u044f\u0435\u0442 \u0442\u0440\u0435\u043c \u0443\u0441\u043b\u043e\u0432\u0438\u044f\u043c, <strong>\u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u044d\u0442\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438.<\/strong> <\/p>\n<hr class=\"wp-block-separator has-text-color has-pale-cyan-blue-color has-css-opacity has-pale-cyan-blue-background-color has-background\">\n<p class=\"has-text-align-left\"> <strong>\u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0411)<\/strong><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-326811b6b97f9ba0bc878dfcf8904b21_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2+y^2+5x+5y+2xy-4 = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"250\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0412 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0438 \u0435\u0441\u0442\u044c \u0447\u043b\u0435\u043d \u0441<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a0b5b65b4fa8aef2ecb83e4724b75cc6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"xy,\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"23\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0441 \u043a\u043e\u0442\u043e\u0440\u044b\u043c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 <strong>\u043d\u0435 \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438.<\/strong> <\/p>\n<hr class=\"wp-block-separator has-text-color has-pale-cyan-blue-color has-css-opacity has-pale-cyan-blue-background-color has-background\">\n<p class=\"has-text-align-left\"> <strong>\u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0421)<\/strong><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7997d025687293da234c60efbb4390ad_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x^2+2y^2-8x+4y+2=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"218\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u044b<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-76e092d71026e8d64e9e3fc6857554cc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"17\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0418<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c73c29a3e05add4949b9207310200e96_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y^2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"16\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u043d\u0435 \u0440\u0430\u0432\u043d\u044b 1, \u043d\u043e \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u0442\u044c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435, \u0440\u0430\u0437\u0434\u0435\u043b\u0438\u0432 \u0432\u0441\u0435 \u0447\u043b\u0435\u043d\u044b:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-324f0e4c339c56376f79a6f8420fcb03_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2+y^2-4x+2y+1=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"200\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0442\u0435\u043f\u0435\u0440\u044c \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u044b<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-76e092d71026e8d64e9e3fc6857554cc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"17\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0418<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c73c29a3e05add4949b9207310200e96_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y^2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"16\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0434\u0430, \u043e\u043d\u0438 \u0440\u0430\u0432\u043d\u044b 1 \u0438, \u0431\u043e\u043b\u0435\u0435 \u0442\u043e\u0433\u043e, \u0432 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0438 \u043d\u0435\u0442 \u0447\u043b\u0435\u043d\u0430<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ce7d7fd003c1b94cfc8c5c46f148f714_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"xy.\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"23\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043d\u0430\u043c \u043e\u0441\u0442\u0430\u0435\u0442\u0441\u044f \u043b\u0438\u0448\u044c \u043f\u043e\u0434\u0442\u0432\u0435\u0440\u0434\u0438\u0442\u044c \u0442\u0440\u0435\u0442\u044c\u0435 \u0443\u0441\u043b\u043e\u0432\u0438\u0435: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ffc789338787de266be2abc66e24a455_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left(\\frac{A}{2}\\right)^2+\\left(\\frac{B}{2}\\right)^2-C>0&#8243; title=&#187;Rendered by QuickLaTeX.com&#187; height=&#187;47&#8243; width=&#187;190&#8243; style=&#187;vertical-align: -17px;&#187;><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-283fb580944e951ece8b8e24e84eb524_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left(\\frac{-4}{2}\\right)^2+\\left(\\frac{2}{2}\\right)^2+1>0&#8243; title=&#187;Rendered by QuickLaTeX.com&#187; height=&#187;47&#8243; width=&#187;189&#8243; style=&#187;vertical-align: -17px;&#187;><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-91f0622656a691a59a0e9052709d21de_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle (-2)^2+\\left(1\\right)^2+1>0&#8243; title=&#187;Rendered by QuickLaTeX.com&#187; height=&#187;22&#8243; width=&#187;158&#8243; style=&#187;vertical-align: -5px;&#187;><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5eadfd980efe34932b4329383d30563a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle 4+1+1>0&#8243; title=&#187;Rendered by QuickLaTeX.com&#187; height=&#187;14&#8243; width=&#187;103&#8243; style=&#187;vertical-align: -2px;&#187;><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8c570dbdfdce26cd5e1e13bd563e2ccd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle 6>0&#8243; title=&#187;Rendered by QuickLaTeX.com&#187; height=&#187;14&#8243; width=&#187;42&#8243; style=&#187;vertical-align: -2px;&#187;><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0443\u0434\u043e\u0432\u043b\u0435\u0442\u0432\u043e\u0440\u044f\u0435\u0442 \u0442\u0440\u0435\u043c \u0443\u0441\u043b\u043e\u0432\u0438\u044f\u043c, <strong>\u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u044d\u0442\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438.<\/strong> <\/p>\n<hr class=\"wp-block-separator has-text-color has-pale-cyan-blue-color has-css-opacity has-pale-cyan-blue-background-color has-background\">\n<p class=\"has-text-align-left\"> <strong>\u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0414)<\/strong><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b896c6512c871afb6136853a0a2cf72b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2+y^2+x+2y+6=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"191\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u044b<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-76e092d71026e8d64e9e3fc6857554cc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"17\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0418<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c73c29a3e05add4949b9207310200e96_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y^2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"16\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0440\u0430\u0432\u043d\u044b 1, \u0438 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043d\u0435 \u0438\u043c\u0435\u0435\u0442 \u0447\u043b\u0435\u043d\u0430<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ce7d7fd003c1b94cfc8c5c46f148f714_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"xy.\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"23\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u0434\u043e\u0441\u0442\u0430\u0442\u043e\u0447\u043d\u043e \u043f\u0440\u043e\u0432\u0435\u0440\u0438\u0442\u044c \u0442\u0440\u0435\u0442\u044c\u0435 \u0443\u0441\u043b\u043e\u0432\u0438\u0435: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ffc789338787de266be2abc66e24a455_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left(\\frac{A}{2}\\right)^2+\\left(\\frac{B}{2}\\right)^2-C>0&#8243; title=&#187;Rendered by QuickLaTeX.com&#187; height=&#187;47&#8243; width=&#187;190&#8243; style=&#187;vertical-align: -17px;&#187;><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-df508b8ad2882f89d197f3845bcc13ee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left(\\frac{1}{2}\\right)^2+\\left(\\frac{2}{2}\\right)^2-6>0&#8243; title=&#187;Rendered by QuickLaTeX.com&#187; height=&#187;47&#8243; width=&#187;175&#8243; style=&#187;vertical-align: -17px;&#187;><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-06600177f85089d43db1d30e47297e6c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle 0,25+1-6>0&#8243; title=&#187;Rendered by QuickLaTeX.com&#187; height=&#187;17&#8243; width=&#187;128&#8243; style=&#187;vertical-align: -4px;&#187;><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-74d079e75c8619832a03cd179a3383ce_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle -4,75 \\ \\cancel{>} \\ 0&#8243; title=&#187;Rendered by QuickLaTeX.com&#187; height=&#187;17&#8243; width=&#187;82&#8243; style=&#187;vertical-align: -4px;&#187;><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043d\u0435 \u0443\u0434\u043e\u0432\u043b\u0435\u0442\u0432\u043e\u0440\u044f\u0435\u0442 \u043f\u043e\u0441\u043b\u0435\u0434\u043d\u0435\u043c\u0443 \u0443\u0441\u043b\u043e\u0432\u0438\u044e, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 <strong>\u043e\u043d\u043e \u043d\u0435 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435\u043c \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438<\/strong> .<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\"> \u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 4<\/h3>\n<p> \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438, \u043f\u0440\u043e\u0445\u043e\u0434\u044f\u0449\u0435\u0439 \u0447\u0435\u0440\u0435\u0437 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0442\u0440\u0438 \u0442\u043e\u0447\u043a\u0438: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4502f53d3453a32786375e0583cb2785_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A(0,0) \\quad B(3,0) \\quad C(2,-2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"208\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u041e\u0431\u0449\u0435\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043b\u044e\u0431\u043e\u0439 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8890b7cc400fafc2f805ca67e08881ea_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2+y^2+Ax+By+C=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"215\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043d\u0430\u043c \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u043f\u043e\u0434\u0441\u0442\u0430\u0432\u0438\u0442\u044c \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0442\u043e\u0447\u0435\u043a \u0432 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438, \u0447\u0442\u043e\u0431\u044b \u043d\u0430\u0439\u0442\u0438 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u044b<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-94b9e9013dcf92b4ae2a6fbb804365a8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A,\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"17\" style=\"vertical-align: -4px;\"><\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-770fd1447ccf2fc229801b486b0d8f8a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"B\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0418<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e33ac8af21963090f8229a332d211273_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"C.\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"17\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041f\u043e \u043f\u0435\u0440\u0432\u043e\u0439 \u0442\u043e\u0447\u043a\u0435 \u043d\u0430\u0445\u043e\u0434\u0438\u043c \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ab5bb26176c859b9b09d69eb399bea9c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"C:\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"23\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c994d016e5b89d5820060efa138860cc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A(0,0) \\ \\longrightarrow \\ 0^2+0^2+A\\cdot 0 +B\\cdot 0+C=0 \\ \\longrightarrow \\ \\bm{C = 0}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"437\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041f\u043e \u0432\u0442\u043e\u0440\u043e\u0439 \u0442\u043e\u0447\u043a\u0435 \u043d\u0430\u0445\u043e\u0434\u0438\u043c \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-944477c7f7578892a57aa3b7c7dd8268_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A:\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"22\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-12719654d98ba81f0a7d45e587478e6d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}A(3,0) \\ \\longrightarrow  \\ &amp; 3^2+0^2+A\\cdot 3 +B\\cdot 0+C=0  \\\\[2ex] &amp; 9+A\\cdot 3  =0\\\\[2ex]&amp;  \\bm{A=-3} &amp; \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"100\" width=\"335\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0410 \u0438\u0437 \u0442\u0440\u0435\u0442\u044c\u0435\u0433\u043e \u043f\u0443\u043d\u043a\u0442\u0430 \u043d\u0430\u0445\u043e\u0434\u0438\u043c \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2976704f0327609d6a0deba6d1139c3f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"B:\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"23\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f1e69c28996a8fbfa14189c48a295095_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} A(2,-2) \\ \\longrightarrow  \\ &amp; 2^2+(-2)^2+A\\cdot 2 +B\\cdot (-2)+C=0 \\\\[2ex] &amp; 4+4+(-3)\\cdot 2+ B\\cdot (-2)+0=0 \\\\[2ex] &amp; 8-6-2B=0 \\\\[2ex] &amp; \\bm{B=1} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"142\" width=\"404\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0412 \u0437\u0430\u043a\u043b\u044e\u0447\u0435\u043d\u0438\u0435 \u043e\u0431\u0449\u0435\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0434\u043b\u0438\u043d\u044b \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438 \u0432\u044b\u0433\u043b\u044f\u0434\u0438\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c9f54f4187497c1fa02459870f4738c3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{x^2+y^2-3x+y=0}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"161\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 5<\/h3>\n<p> \u0415\u0441\u043b\u0438 \u043f\u0440\u043e\u0442\u0438\u0432\u043e\u043f\u043e\u043b\u043e\u0436\u043d\u044b\u043c\u0438 \u043a\u043e\u043d\u0446\u0430\u043c\u0438 \u043a\u0440\u0443\u0433\u0430 \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0434\u0432\u0435 \u0442\u043e\u0447\u043a\u0438:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1dad063e5dabd63e9833d42ad087a2ce_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A(2,3) \\qquad B(6,-1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"155\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0427\u0442\u043e \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u0441\u043e\u0431\u043e\u0439 \u043e\u0431\u044b\u0447\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438? <\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u0415\u0441\u043b\u0438 \u0434\u0432\u0435 \u0442\u043e\u0447\u043a\u0438 \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u043a\u0440\u0430\u0439\u043d\u0438\u043c\u0438 \u0442\u043e\u0447\u043a\u0430\u043c\u0438 \u043a\u0440\u0443\u0433\u0430, \u0435\u0433\u043e \u0446\u0435\u043d\u0442\u0440\u043e\u043c \u0431\u0443\u0434\u0435\u0442 \u0441\u0435\u0440\u0435\u0434\u0438\u043d\u0430 \u043c\u0435\u0436\u0434\u0443 \u044d\u0442\u0438\u043c\u0438 \u0434\u0432\u0443\u043c\u044f \u0442\u043e\u0447\u043a\u0430\u043c\u0438: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d8301618bb0d7b4ded6acd02f1087b9e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle C\\left(\\frac{2+6}{2} , \\frac{3+(-1)}{2} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"162\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fe41a577fe933b35601afe7f6239e03d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle C\\left(\\frac{8}{2} , \\frac{2}{2} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"73\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-06be238c032f258db6686b8e2c164605_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle C\\left(4,1 \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"56\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0421 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u0434\u0438\u0430\u043c\u0435\u0442\u0440 \u043a\u0440\u0443\u0433\u0430 \u0431\u0443\u0434\u0435\u0442 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435\u043c \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u0442\u043e\u0447\u043a\u0430\u043c\u0438, \u043a\u043e\u0442\u043e\u0440\u043e\u0435 \u043c\u043e\u0436\u043d\u043e \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0442\u044c, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f \u0432\u0435\u043b\u0438\u0447\u0438\u043d\u0443 \u0432\u0435\u043a\u0442\u043e\u0440\u0430, \u043a\u043e\u0442\u043e\u0440\u044b\u0439 \u043e\u0431\u0440\u0430\u0437\u0443\u044e\u0442 \u0434\u0432\u0435 \u0442\u043e\u0447\u043a\u0438: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a3dd2c628d11818ba0cab76f4614ed91_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{AB} = B-A=(6,-1) - (2,3) = (4,-4)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"315\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1d0fb498083e41cf9f0f8b7a150f42fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d = \\lvert \\vv{AB} \\rvert =\\sqrt{4^2+(-4)^2} = \\sqrt{16+16} = \\sqrt{32}\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"346\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0410 \u0440\u0430\u0434\u0438\u0443\u0441 \u043a\u0440\u0443\u0433\u0430 \u0440\u0430\u0432\u0435\u043d \u043f\u043e\u043b\u043e\u0432\u0438\u043d\u0435 \u0434\u0438\u0430\u043c\u0435\u0442\u0440\u0430:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1d5a6269d58490fc6848303c3654a1c7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r = \\cfrac{\\sqrt{32}}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"67\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043e\u0431\u044b\u0447\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438 \u0438\u043c\u0435\u0435\u0442 \u0432\u0438\u0434: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-eb8ffc83b27f7ed251e2233abbce5046_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x-a)^2+(y-b)^2=r^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"183\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a958c8b86fa29064dff3aa581e722473_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle (x-4)^2+(y-1)^2=\\left(\\frac{\\sqrt{32}}{2}\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"58\" width=\"239\" style=\"vertical-align: -23px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-34bc4dc9c86ca1b78edaa23113e51a59_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{(x-4)^2+(y-1)^2=}\\frac{\\bm{32}}{\\bm{4}}\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"183\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<p> \u041d\u0430\u043a\u043e\u043d\u0435\u0446, \u0435\u0441\u043b\u0438 \u044d\u0442\u0430 \u0441\u0442\u0430\u0442\u044c\u044f \u0431\u044b\u043b\u0430 \u0432\u0430\u043c \u043f\u043e\u043b\u0435\u0437\u043d\u0430, \u0432\u0430\u0441 \u043d\u0430\u0432\u0435\u0440\u043d\u044f\u043a\u0430 \u0437\u0430\u0438\u043d\u0442\u0435\u0440\u0435\u0441\u0443\u044e\u0442 \u043d\u0430\u0448\u0438 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u044b \u0441  \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u043e\u0439 (\u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430)  \u0438  \u043f\u0430\u0440\u0430\u0431\u043e\u043b\u043e\u0439 (\u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430)  . \u0412\u044b \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u043f\u043e\u0434\u0440\u043e\u0431\u043d\u043e\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u0438\u0435 \u0442\u043e\u0433\u043e, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0430 \u0438 \u043f\u0430\u0440\u0430\u0431\u043e\u043b\u0430, \u0438\u0445 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f, \u0438\u0445 \u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u0438\u0441\u0442\u0438\u043a\u0438, \u043f\u0440\u0438\u043c\u0435\u0440\u044b, \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f\u2026<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u041d\u0430 \u044d\u0442\u043e\u0439 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435 \u0432\u044b \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u0432\u0441\u0435 \u043e\u0431 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0438 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438: \u043e\u0431\u044b\u043a\u043d\u043e\u0432\u0435\u043d\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435, \u043e\u0431\u0449\u0435\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435, \u0434\u0440\u0443\u0433\u0438\u0435 \u0432\u0438\u0434\u044b \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438, \u043a\u043e\u0433\u0434\u0430 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438 \u0432\u0435\u0440\u043d\u043e,\u2026 \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0432\u044b \u0443\u0432\u0438\u0434\u0438\u0442\u0435 \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0442\u043e\u0433\u043e, \u043a\u0430\u043a \u043d\u0430\u0439\u0442\u0438 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438. \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438, \u0438 \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u043f\u0440\u0430\u043a\u0442\u0438\u043a\u043e\u0432\u0430\u0442\u044c\u0441\u044f \u0441 \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u043c\u0438 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f\u043c\u0438. \u041e\u0431\u044b\u0447\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438 \u041f\u0440\u0435\u0436\u0434\u0435 \u0447\u0435\u043c \u0440\u0430\u0437\u043e\u0431\u0440\u0430\u0442\u044c\u0441\u044f, \u0447\u0442\u043e \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u0441\u043e\u0431\u043e\u0439 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438, \u0434\u0430\u0432\u0430\u0439\u0442\u0435 \u0432\u0441\u043f\u043e\u043c\u043d\u0438\u043c \u043f\u043e\u043d\u044f\u0442\u0438\u0435 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438: \u041e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u044c &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ru\/%d1%83%d1%80%d0%b0%d0%b2%d0%bd%d0%b5%d0%bd%d0%b8%d0%b5-%d0%be%d0%ba%d1%80%d1%83%d0%b6%d0%bd%d0%be%d1%81%d1%82%d0%b8-%d0%be%d0%b1%d1%8b%d1%87%d0%bd%d0%b0%d1%8f-%d1%84%d0%be%d1%80%d0%bc%d1%83%d0%bb\/\"> <span class=\"screen-reader-text\">\u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438<\/span> \u0427\u0438\u0442\u0430\u0442\u044c \u0434\u0430\u043b\u0435\u0435 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