{"id":241,"date":"2023-07-10T17:01:09","date_gmt":"2023-07-10T17:01:09","guid":{"rendered":"https:\/\/mathority.org\/ru\/%d0%be%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%b3%d0%b8%d0%bf%d0%b5%d1%80%d0%b1%d0%be%d0%bb%d1%8b-%d1%8d%d0%bb%d0%b5%d0%bc%d0%b5%d0%bd%d1%82%d1%8b-%d1%84%d0%be%d1%80%d0%bc\/"},"modified":"2023-07-10T17:01:09","modified_gmt":"2023-07-10T17:01:09","slug":"%d0%be%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%b3%d0%b8%d0%bf%d0%b5%d1%80%d0%b1%d0%be%d0%bb%d1%8b-%d1%8d%d0%bb%d0%b5%d0%bc%d0%b5%d0%bd%d1%82%d1%8b-%d1%84%d0%be%d1%80%d0%bc","status":"publish","type":"post","link":"https:\/\/mathority.org\/ru\/%d0%be%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%b3%d0%b8%d0%bf%d0%b5%d1%80%d0%b1%d0%be%d0%bb%d1%8b-%d1%8d%d0%bb%d0%b5%d0%bc%d0%b5%d0%bd%d1%82%d1%8b-%d1%84%d0%be%d1%80%d0%bc\/","title":{"rendered":"\u0413\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0430: \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435, \u0444\u043e\u0440\u043c\u0443\u043b\u0430, \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u044b, \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435, \u043f\u0440\u0438\u043c\u0435\u0440\u044b,\u2026"},"content":{"rendered":"<p>\u0417\u0434\u0435\u0441\u044c \u0432\u044b \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u0432\u0441\u0435 \u043e \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0435: \u0447\u0442\u043e \u044d\u0442\u043e \u0442\u0430\u043a\u043e\u0435, \u043a\u0430\u043a\u043e\u0432\u044b \u0435\u0435 \u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u043d\u044b\u0435 \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u044b, \u043a\u0430\u043a \u043d\u0430\u0439\u0442\u0438 \u0435\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435, \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 \u0438 \u0442. \u0434. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-una-hiperbola\"><\/span> \u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0430? <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"wp-block-columns are-vertically-aligned-center is-layout-flex wp-container-93\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow\">\n<p> \u0413\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0430 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u0441\u043e\u0431\u043e\u0439 \u0440\u0430\u0437\u043e\u043c\u043a\u043d\u0443\u0442\u0443\u044e \u043a\u0440\u0438\u0432\u0443\u044e \u0441 \u0434\u0432\u0443\u043c\u044f \u0432\u0435\u0442\u0432\u044f\u043c\u0438, \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435:<\/p>\n<p> <strong>\u0412 \u0430\u043d\u0430\u043b\u0438\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0438 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0430 \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, \u0443\u0434\u043e\u0432\u043b\u0435\u0442\u0432\u043e\u0440\u044f\u044e\u0449\u0435\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u043c\u0443 \u0443\u0441\u043b\u043e\u0432\u0438\u044e: \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u043e\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0439 \u043c\u0435\u0436\u0434\u0443 \u043b\u044e\u0431\u043e\u0439 \u0442\u043e\u0447\u043a\u043e\u0439 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b \u0438 \u0434\u0432\u0443\u043c\u044f \u043d\u0435\u043f\u043e\u0434\u0432\u0438\u0436\u043d\u044b\u043c\u0438 \u0442\u043e\u0447\u043a\u0430\u043c\u0438 (\u043d\u0430\u0437\u044b\u0432\u0430\u0435\u043c\u044b\u043c\u0438 \u0444\u043e\u043a\u0443\u0441\u0430\u043c\u0438) \u0434\u043e\u043b\u0436\u043d\u043e \u0431\u044b\u0442\u044c \u043f\u043e\u0441\u0442\u043e\u044f\u043d\u043d\u044b\u043c.<\/strong><\/p>\n<p> \u0411\u043e\u043b\u0435\u0435 \u0442\u043e\u0433\u043e, \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u044f \u044d\u0442\u0438\u0445 \u0434\u0432\u0443\u0445 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0439 \u0432\u0441\u0435\u0433\u0434\u0430 \u044d\u043a\u0432\u0438\u0432\u0430\u043b\u0435\u043d\u0442\u043d\u043e \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u044e \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u0432\u0435\u0440\u0448\u0438\u043d\u0430\u043c\u0438 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\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-08f25424560ca1e7449189d00268f0b9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert d_1 - d_2 \\rvert = 2a\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"105\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow\">\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\/definition-dhyperbole.webp\" alt=\"\u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b\" class=\"wp-image-2260\" width=\"411\" height=\"377\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<\/div>\n<p> \u041d\u0438\u0436\u0435 \u043c\u044b \u0443\u0432\u0438\u0434\u0438\u043c, \u0447\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442 \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-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> \u0438\u0437 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b. <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-96\">\n<div class=\"wp-block-column is-layout-flow\" style=\"flex-basis:33.33%\">\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\/hyperbole-conique.webp\" alt=\"\u043a\u043e\u043d\u0438\u0447\u0435\u0441\u043a\u0430\u044f \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0430 \u0438\u043b\u0438 \u043a\u043e\u043d\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u0441\u0435\u0447\u0435\u043d\u0438\u0435\" class=\"wp-image-2272\" width=\"307\" height=\"289\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\" style=\"flex-basis:66.66%\">\n<p> \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0430 \u0432\u0445\u043e\u0434\u0438\u0442 \u0432 \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0443\u044e \u0433\u0440\u0443\u043f\u043f\u0443, \u043d\u0430\u0437\u044b\u0432\u0430\u0435\u043c\u0443\u044e \u043a\u043e\u043d\u0438\u043a\u0430\u043c\u0438, \u043d\u0430\u0440\u044f\u0434\u0443 \u0441 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u044c\u044e, \u044d\u043b\u043b\u0438\u043f\u0441\u043e\u043c \u0438 \u043f\u0430\u0440\u0430\u0431\u043e\u043b\u043e\u0439. \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0430 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u0441\u043e\u0431\u043e\u0439 \u043a\u043e\u043d\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u0441\u0435\u0447\u0435\u043d\u0438\u0435, \u0438\u043b\u0438, \u0434\u0440\u0443\u0433\u0438\u043c\u0438 \u0441\u043b\u043e\u0432\u0430\u043c\u0438, \u0435\u0435 \u043c\u043e\u0436\u043d\u043e \u043f\u043e\u043b\u0443\u0447\u0438\u0442\u044c \u0438\u0437 \u043a\u043e\u043d\u0443\u0441\u0430.<\/p>\n<p> \u0412 \u0447\u0430\u0441\u0442\u043d\u043e\u0441\u0442\u0438, \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0430 \u2014 \u044d\u0442\u043e \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u0441\u0435\u0447\u0435\u043d\u0438\u044f \u043a\u043e\u043d\u0443\u0441\u0430 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044c\u044e \u0441 \u0443\u0433\u043b\u043e\u043c, \u043c\u0435\u043d\u044c\u0448\u0438\u043c \u0443\u0433\u043b\u0430, \u043e\u0431\u0440\u0430\u0437\u0443\u0435\u043c\u043e\u0433\u043e \u043e\u0431\u0440\u0430\u0437\u0443\u044e\u0449\u0435\u0439 \u043a\u043e\u043d\u0443\u0441\u0430 \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u0435\u0433\u043e \u043e\u0441\u0438 \u0432\u0440\u0430\u0449\u0435\u043d\u0438\u044f. <\/p>\n<\/div>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"elementos-de-una-hiperbola\"><\/span> \u042d\u043b\u0435\u043c\u0435\u043d\u0442\u044b \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0425\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u0438\u0441\u0442\u0438\u043a\u0438 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b \u0437\u0430\u0432\u0438\u0441\u044f\u0442 \u043e\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0445 \u0444\u0430\u043a\u0442\u043e\u0440\u043e\u0432:<\/p>\n<ul>\n<li> <strong>\u0424\u043e\u043a\u0443\u0441\u044b<\/strong> : \u044d\u0442\u043e \u0434\u0432\u0435 \u043d\u0435\u043f\u043e\u0434\u0432\u0438\u0436\u043d\u044b\u0435 \u0442\u043e\u0447\u043a\u0438, \u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u043d\u044b\u0435 \u0434\u043b\u044f \u043a\u0430\u0436\u0434\u043e\u0439 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b (\u0442\u043e\u0447\u043a\u0438 F \u0438 F&#8217; \u043d\u0430 \u0433\u0440\u0430\u0444\u0438\u043a\u0435 \u043d\u0438\u0436\u0435). \u0410\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u0430\u044f \u0432\u0435\u043b\u0438\u0447\u0438\u043d\u0430 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0439 \u043e\u0442 \u043b\u044e\u0431\u043e\u0439 \u0442\u043e\u0447\u043a\u0438 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b \u0434\u043e \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u0444\u043e\u043a\u0443\u0441\u0430 \u043f\u043e\u0441\u0442\u043e\u044f\u043d\u043d\u0430 \u0438 \u0440\u0430\u0432\u043d\u0430\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-54b4363957caf696f4e42af854400e03_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2a.\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"22\" style=\"vertical-align: 0px;\"><\/p>\n<\/li>\n<li> <strong>\u0424\u043e\u043a\u0430\u043b\u044c\u043d\u0430\u044f \u0438\u043b\u0438 \u0433\u043b\u0430\u0432\u043d\u0430\u044f \u043e\u0441\u044c<\/strong> : \u044d\u0442\u043e \u043b\u0438\u043d\u0438\u044f, \u043f\u0440\u043e\u0445\u043e\u0434\u044f\u0449\u0430\u044f \u0447\u0435\u0440\u0435\u0437 \u0434\u0432\u0430 \u0444\u043e\u043a\u0443\u0441\u0430 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b. \u041e\u043d \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u043e\u0441\u0438 \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0438 \u0443\u043a\u0430\u0437\u0430\u043d\u043d\u043e\u0439 \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u0444\u0438\u0433\u0443\u0440\u044b. \u0422\u0430\u043a\u0436\u0435 \u043d\u0430\u0437\u044b\u0432\u0430\u0435\u0442\u0441\u044f \u043f\u043e\u043f\u0435\u0440\u0435\u0447\u043d\u043e\u0439 \u0438\u043b\u0438 \u043f\u043e\u043f\u0435\u0440\u0435\u0447\u043d\u043e\u0439 \u043e\u0441\u044c\u044e.<\/li>\n<li> <strong>\u0412\u0442\u043e\u0440\u0438\u0447\u043d\u0430\u044f \u043e\u0441\u044c<\/strong> : \u044d\u0442\u043e \u0431\u0438\u0441\u0441\u0435\u043a\u0442\u0440\u0438\u0441\u0430 \u043e\u0442\u0440\u0435\u0437\u043a\u0430 FF&#8217; (\u043b\u0438\u043d\u0438\u044f, \u043f\u0440\u043e\u0445\u043e\u0434\u044f\u0449\u0430\u044f \u0447\u0435\u0440\u0435\u0437 \u0442\u043e\u0447\u043a\u0438 B \u0438 B&#8217;). \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u044d\u0442\u043e \u043b\u0438\u043d\u0438\u044f, \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u0430\u044f \u0444\u043e\u043a\u0430\u043b\u044c\u043d\u043e\u0439 \u043e\u0441\u0438, \u0438 \u044d\u0442\u043e \u0435\u0449\u0435 \u043e\u0434\u043d\u0430 \u043e\u0441\u044c \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0438 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b.<\/li>\n<li> <strong>\u0426\u0435\u043d\u0442\u0440 (O)<\/strong> : \u0442\u043e\u0447\u043a\u0430 \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u0434\u0432\u0443\u0445 \u043e\u0441\u0435\u0439 \u0438 \u0441\u0435\u0440\u0435\u0434\u0438\u043d\u0430 \u0434\u0432\u0443\u0445 \u0432\u0435\u0440\u0448\u0438\u043d \u0438 \u0434\u0432\u0443\u0445 \u0444\u043e\u043a\u0443\u0441\u043e\u0432. \u041f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0430 \u0438\u043c\u0435\u0435\u0442 \u0434\u0432\u0435 \u043e\u0441\u0438 \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0438, \u043e\u043d\u0430 \u0442\u0430\u043a\u0436\u0435 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0446\u0435\u043d\u0442\u0440\u043e\u043c \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0438.<\/li>\n<li> <strong>\u0412\u0435\u0440\u0448\u0438\u043d\u044b (\u0410 \u0438 \u0410&#8217;)<\/strong> : \u0442\u043e\u0447\u043a\u0438 \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u0432\u0435\u0442\u0432\u0435\u0439 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b \u0441 \u0444\u043e\u043a\u0430\u043b\u044c\u043d\u043e\u0439 \u043e\u0441\u044c\u044e.<\/li>\n<li> <strong>\u0412\u0435\u043a\u0442\u043e\u0440\u043d\u044b\u0435 \u043b\u0443\u0447\u0438 (R)<\/strong> : \u044d\u0442\u043e \u043e\u0442\u0440\u0435\u0437\u043a\u0438, \u0438\u0434\u0443\u0449\u0438\u0435 \u043e\u0442 \u043b\u044e\u0431\u043e\u0439 \u0442\u043e\u0447\u043a\u0438 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b \u043a \u043a\u0430\u0436\u0434\u043e\u043c\u0443 \u0444\u043e\u043a\u0443\u0441\u0443.<\/li>\n<li> <strong>\u0424\u043e\u043a\u0443\u0441\u043d\u043e\u0435 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435<\/strong> : \u044d\u0442\u043e \u0434\u043b\u0438\u043d\u0430 \u0441\u043e\u0441\u0442\u0430\u0432\u043d\u043e\u0433\u043e \u0441\u0435\u0433\u043c\u0435\u043d\u0442\u0430 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u0444\u043e\u043a\u0443\u0441\u0430\u043c\u0438.<\/li>\n<li> <strong>\u0411\u043e\u043b\u044c\u0448\u0430\u044f \u043e\u0441\u044c \u0438\u043b\u0438 \u0434\u0435\u0439\u0441\u0442\u0432\u0438\u0442\u0435\u043b\u044c\u043d\u0430\u044f \u043e\u0441\u044c:<\/strong> \u044d\u0442\u043e \u043e\u0442\u0440\u0435\u0437\u043e\u043a, \u0438\u0434\u0443\u0449\u0438\u0439 \u043e\u0442 \u0442\u043e\u0447\u043a\u0438 \u0410 \u043a \u0442\u043e\u0447\u043a\u0435 \u0410&#8217;, \u0435\u0433\u043e \u0434\u043b\u0438\u043d\u0430 \u044d\u043a\u0432\u0438\u0432\u0430\u043b\u0435\u043d\u0442\u043d\u0430\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-54b4363957caf696f4e42af854400e03_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2a.\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"22\" style=\"vertical-align: 0px;\"><\/p>\n<\/li>\n<li> <strong>\u041c\u0430\u043b\u0430\u044f \u043e\u0441\u044c \u0438\u043b\u0438 \u043c\u043d\u0438\u043c\u0430\u044f \u043e\u0441\u044c:<\/strong> \u044d\u0442\u043e \u043e\u0442\u0440\u0435\u0437\u043e\u043a, \u0438\u0434\u0443\u0449\u0438\u0439 \u0438\u0437 \u0442\u043e\u0447\u043a\u0438 B \u0432 \u0442\u043e\u0447\u043a\u0443 B&#8217;, \u0435\u0433\u043e \u0434\u043b\u0438\u043d\u0430 \u044d\u043a\u0432\u0438\u0432\u0430\u043b\u0435\u043d\u0442\u043d\u0430\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1d8ead68299e64ffadc626710518ae55_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2b.\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"21\" style=\"vertical-align: 0px;\"><\/p>\n<\/li>\n<li> <strong>\u0410\u0441\u0438\u043c\u043f\u0442\u043e\u0442\u044b<\/strong> : \u043f\u0443\u043d\u043a\u0442\u0438\u0440\u043d\u044b\u0435 \u043b\u0438\u043d\u0438\u0438, \u043f\u043e\u043a\u0430\u0437\u0430\u043d\u043d\u044b\u0435 \u043d\u0430 \u0433\u0440\u0430\u0444\u0438\u043a\u0435. \u041d\u0438\u0436\u0435 \u043c\u044b \u0443\u0432\u0438\u0434\u0438\u043c, \u043a\u0430\u043a \u043e\u043d\u0438 \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u044b\u0432\u0430\u044e\u0442\u0441\u044f. <\/li>\n<\/ul>\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\/elements-de-l-hyperbole.webp\" alt=\"\u044d\u043b\u0435\u043c\u0435\u043d\u0442\u044b \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b\" class=\"wp-image-2276\" width=\"433\" height=\"396\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"relacion-entre-los-elementos-de-una-hiperbola\"><\/span> \u0421\u0432\u044f\u0437\u044c \u043c\u0435\u0436\u0434\u0443 \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u0430\u043c\u0438 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> \u041f\u0440\u0435\u0436\u0434\u0435 \u0432\u0441\u0435\u0433\u043e, \u043c\u044b \u0433\u043e\u0432\u043e\u0440\u0438\u043c, \u0447\u0442\u043e \u043f\u043e\u043b\u0443\u043e\u0441\u044c \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442 \u043f\u043e\u043b\u043e\u0432\u0438\u043d\u0443 \u043e\u0441\u0438. \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0438\u0441\u0442\u0438\u043d\u043d\u0430\u044f \u043f\u043e\u043b\u0443\u043e\u0441\u044c \u2014 \u044d\u0442\u043e \u043e\u0442\u0440\u0435\u0437\u043e\u043a, \u0438\u0434\u0443\u0449\u0438\u0439 \u043e\u0442 \u0442\u043e\u0447\u043a\u0438 \u0410 \u0434\u043e \u0446\u0435\u043d\u0442\u0440\u0430 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b, \u0434\u043b\u0438\u043d\u0430 \u043a\u043e\u0442\u043e\u0440\u043e\u0433\u043e \u0440\u0430\u0432\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-2ebc59bdf10d3d739bfa532b65c85287_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a.\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"13\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u043e\u0447\u0435\u043d\u044c \u0432\u0430\u0436\u043d\u0430\u044f \u0441\u0432\u044f\u0437\u044c \u043c\u0435\u0436\u0434\u0443 \u0440\u0435\u0430\u043b\u044c\u043d\u043e\u0439 \u043f\u043e\u043b\u0443\u043e\u0441\u044c\u044e, \u043c\u043d\u0438\u043c\u043e\u0439 \u043f\u043e\u043b\u0443\u043e\u0441\u044c\u044e \u0438 \u043f\u043e\u043b\u0443\u0444\u043e\u043a\u0443\u0441\u043d\u044b\u043c \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435\u043c. \u0424\u0430\u043a\u0442\u0438\u0447\u0435\u0441\u043a\u0438, \u0444\u043e\u0440\u043c\u0443\u043b\u0430, \u043a\u043e\u0442\u043e\u0440\u0443\u044e \u043c\u044b \u0441\u043e\u0431\u0438\u0440\u0430\u0435\u043c\u0441\u044f \u0432\u044b\u0432\u0435\u0441\u0442\u0438 \u0434\u0430\u043b\u044c\u0448\u0435, \u0447\u0430\u0441\u0442\u043e \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f \u0434\u043b\u044f \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0439 \u0438 \u0437\u0430\u0434\u0430\u0447 \u0441 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u043e\u0439.<\/p>\n<p> \u0421\u043b\u0435\u0434\u0443\u0435\u0442 \u0437\u043d\u0430\u0442\u044c, \u0447\u0442\u043e \u0442\u043e\u0447\u043a\u0438 \u0412 \u0438 \u0412&#8217; \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0442 \u0442\u043e\u0447\u043a\u0430\u043c \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u0433\u043b\u0430\u0432\u043d\u043e\u0439 \u043e\u0441\u0438 \u0438 \u0432\u043e\u043e\u0431\u0440\u0430\u0436\u0430\u0435\u043c\u043e\u0439 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438 \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-41a04eeea923a1a0c28094a8a4680525_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"c\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> (\u043f\u043e\u043b\u0443\u0444\u043e\u043a\u0443\u0441\u043d\u043e\u0435 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435) \u043e\u0442 \u0446\u0435\u043d\u0442\u0440\u0430 \u0434\u043e \u0442\u043e\u0447\u043a\u0438 \u0410. \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u043a\u0430\u043a \u0432\u0438\u0434\u043d\u043e \u043d\u0430 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u043c \u0433\u0440\u0430\u0444\u0438\u0447\u0435\u0441\u043a\u043e\u043c \u0438\u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u0438\u0438, \u043e\u0442\u0440\u0435\u0437\u043e\u043a, \u0441\u043e\u0435\u0434\u0438\u043d\u044f\u044e\u0449\u0438\u0439 \u0442\u043e\u0447\u043a\u0443 \u0410 \u0438 \u0442\u043e\u0447\u043a\u0443 \u0412, \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u0435\u0442 \u0441 \u0440\u0430\u0434\u0438\u0443\u0441\u043e\u043c \u0443\u043a\u0430\u0437\u0430\u043d\u043d\u043e\u0433\u043e \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-41a04eeea923a1a0c28094a8a4680525_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"c\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> ): <\/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\/elements-de-relation-dune-hyperbole.webp\" alt=\"\u0441\u0432\u044f\u0437\u044c \u043c\u0435\u0436\u0434\u0443 \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u0430\u043c\u0438 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b\" class=\"wp-image-2282\" width=\"433\" height=\"398\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043d\u0430 \u043e\u0441\u043d\u043e\u0432\u0435 \u0442\u0435\u043e\u0440\u0435\u043c\u044b \u041f\u0438\u0444\u0430\u0433\u043e\u0440\u0430 \u043c\u043e\u0436\u043d\u043e \u043f\u0440\u043e\u0434\u0435\u043c\u043e\u043d\u0441\u0442\u0440\u0438\u0440\u043e\u0432\u0430\u0442\u044c, \u0447\u0442\u043e \u0441\u0432\u044f\u0437\u044c \u043c\u0435\u0436\u0434\u0443 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\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-0357ced152d91599aefcf60b48861b74_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a, b\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"25\" style=\"vertical-align: -4px;\"><\/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-41a04eeea923a1a0c28094a8a4680525_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"c\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\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-6d7a13f23d60337d2591c3d955d44faf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"c^2 = a^2+b^2\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"93\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ecuacion-de-la-hiperbola\"><\/span> \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0421\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 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0432 \u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0441\u0442\u0438 \u043e\u0442 \u0435\u0435 \u0441\u0432\u043e\u0439\u0441\u0442\u0432 \u0434\u043b\u044f \u0435\u0435 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u044f \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f \u0442\u043e \u0438\u043b\u0438 \u0438\u043d\u043e\u0435. \u0414\u0430\u043b\u0435\u0435 \u043c\u044b \u0440\u0430\u0437\u0431\u0435\u0440\u0435\u043c \u043a\u0430\u0436\u0434\u044b\u0439 \u043f\u043e\u0434\u0440\u043e\u0431\u043d\u043e.<\/p>\n<p> \u0412\u043e-\u043f\u0435\u0440\u0432\u044b\u0445, \u043c\u044b \u0438\u043c\u0435\u0435\u043c <strong>\u043e\u0431\u044b\u0447\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435<\/strong> \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b. \u0412\u043e-\u0432\u0442\u043e\u0440\u044b\u0445, \u043c\u044b \u0443\u0432\u0438\u0434\u0438\u043c \u0432\u0430\u0440\u0438\u0430\u043d\u0442 \u043e\u0431\u044b\u0447\u043d\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f, \u044d\u0442\u043e <strong>\u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u043d\u043e\u0435 \u0438\u043b\u0438 \u043a\u0430\u043d\u043e\u043d\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435<\/strong> \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b. \u0414\u0430\u043b\u0435\u0435 \u043c\u044b \u0438\u0437\u0443\u0447\u0438\u043c, \u043a\u0430\u043a \u0443\u0441\u0442\u0440\u043e\u0435\u043d\u043e <strong>\u043e\u0431\u0449\u0435\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435<\/strong> \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b. \u0418, \u043d\u0430\u043a\u043e\u043d\u0435\u0446, \u0440\u0430\u0437\u0431\u0435\u0440\u0435\u043c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0434\u0432\u0443\u0445 \u0447\u0430\u0441\u0442\u043d\u044b\u0445 \u0441\u043b\u0443\u0447\u0430\u0435\u0432 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b: <strong>\u0440\u0430\u0432\u043d\u043e\u0441\u0442\u043e\u0440\u043e\u043d\u043d\u0435\u0439 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b<\/strong> \u0438 <strong>\u0441\u043e\u043f\u0440\u044f\u0436\u0435\u043d\u043d\u043e\u0439 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b<\/strong> . <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ecuacion-ordinaria-de-la-hiperbola\"><\/span> \u041e\u0431\u044b\u0447\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> \u041a\u043e\u0433\u0434\u0430 \u043c\u044b \u0445\u043e\u0442\u0438\u043c \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435\u043c \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0443 \u0441 \u0432\u043d\u0435\u0448\u043d\u0438\u043c \u0446\u0435\u043d\u0442\u0440\u043e\u043c \u0432 \u043d\u0430\u0447\u0430\u043b\u0435 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442 (\u0442\u043e\u0447\u043a\u0430 (0,0)), \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \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<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\"> \u0424\u043e\u0440\u043c\u0443\u043b\u0430 <strong>\u043e\u0431\u044b\u043a\u043d\u043e\u0432\u0435\u043d\u043d\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b<\/strong> \u0432 \u0434\u0435\u043a\u0430\u0440\u0442\u043e\u0432\u044b\u0445 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u0430\u0445 \u0438\u043c\u0435\u0435\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0439 \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-2b3ab0b73fd88032017edcdc4c41fbdb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{(x-x_0)^2}{a^2}-\\cfrac{(y-y_0)^2}{b^2} = 1\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"195\" style=\"vertical-align: -12px;\"><\/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-87f2a80bc63f8d7bc3df68c45a787402_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_0\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"17\" style=\"vertical-align: -3px;\"><\/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-d37dc47669aa63f72480eae663d99287_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y_0\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u2013 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0446\u0435\u043d\u0442\u0440\u0430 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b:<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-47ff14e7a2fa6ff014a1fcb82ec4fd58_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"O(x_0,y_0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"69\" style=\"vertical-align: -5px;\"><\/p>\n<\/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> \u2014 \u0434\u043b\u0438\u043d\u0430 \u0431\u043e\u043b\u044c\u0448\u043e\u0439 \u043f\u043e\u043b\u0443\u043e\u0441\u0438 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b.<\/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-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> \u2014 \u0434\u043b\u0438\u043d\u0430 \u043c\u0430\u043b\u043e\u0439 \u043f\u043e\u043b\u0443\u043e\u0441\u0438 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b.<\/li>\n<\/ul>\n<\/div>\n<p> \u0421 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u044d\u0442\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u043e\u043f\u0438\u0441\u0430\u0442\u044c \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b, \u0444\u043e\u043a\u0430\u043b\u044c\u043d\u0430\u044f \u043e\u0441\u044c \u043a\u043e\u0442\u043e\u0440\u044b\u0445 \u0433\u043e\u0440\u0438\u0437\u043e\u043d\u0442\u0430\u043b\u044c\u043d\u0430 (\u0432\u0435\u0442\u0432\u0438 \u043e\u0442\u043a\u0440\u044b\u0442\u044b \u0432\u043b\u0435\u0432\u043e \u0438 \u0432\u043f\u0440\u0430\u0432\u043e), \u0447\u0435\u043c \u043e\u0431\u044b\u0447\u043d\u043e \u0438 \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b. \u041d\u043e \u0435\u0441\u043b\u0438 \u043c\u044b \u0440\u0430\u0431\u043e\u0442\u0430\u0435\u043c \u0441 \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u044c\u043d\u043e\u0439 \u0444\u043e\u043a\u0430\u043b\u044c\u043d\u043e\u0439 \u043e\u0441\u044c\u044e (\u0432\u0435\u0442\u0432\u0438 \u043e\u0442\u043a\u0440\u044b\u0432\u0430\u044e\u0442\u0441\u044f \u0441\u0432\u0435\u0440\u0445\u0443 \u0432\u043d\u0438\u0437), \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u0437\u043d\u0430\u043a \u043f\u0435\u0440\u0435\u0445\u043e\u0434\u0438\u0442 \u043e\u0442 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439 y <em>\u043a<\/em> \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439 <em>x<\/em> :<\/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-f6f7bf1fb4ba24a25f4d33754bb31477_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{(y-y_0)^2}{a^2}-\\cfrac{(x-x_0)^2}{b^2} = 1\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"195\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \u0417\u043e\u043b\u043e\u0442\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-87f2a80bc63f8d7bc3df68c45a787402_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_0\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"17\" style=\"vertical-align: -3px;\"><\/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-d37dc47669aa63f72480eae663d99287_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y_0\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f, \u043a\u0430\u043a \u0438 \u043f\u0440\u0435\u0436\u0434\u0435, \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u0430\u043c\u0438 \u0446\u0435\u043d\u0442\u0440\u0430 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b \u0438 \u0447\u043b\u0435\u043d\u0430\u043c\u0438<\/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> \u043e\u043d\u0438 \u043f\u043e-\u043f\u0440\u0435\u0436\u043d\u0435\u043c\u0443 \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u0431\u043e\u043b\u044c\u0448\u043e\u0439 \u043f\u043e\u043b\u0443\u043e\u0441\u044c\u044e \u0438 \u043c\u0430\u043b\u043e\u0439 \u043f\u043e\u043b\u0443\u043e\u0441\u044c\u044e \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b, \u0445\u043e\u0442\u044f, \u0432 \u043e\u0442\u043b\u0438\u0447\u0438\u0435 \u043e\u0442 \u043f\u0440\u0435\u0434\u044b\u0434\u0443\u0449\u0435\u0433\u043e, \u044d\u0442\u0438 \u0434\u0432\u0435 \u0442\u0435\u043f\u0435\u0440\u044c \u0431\u0443\u0434\u0443\u0442 \u043e\u0440\u0438\u0435\u043d\u0442\u0438\u0440\u043e\u0432\u0430\u043d\u044b \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u044c\u043d\u043e \u0438 \u0433\u043e\u0440\u0438\u0437\u043e\u043d\u0442\u0430\u043b\u044c\u043d\u043e \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0435\u043d\u043d\u043e. <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ecuacion-canonica-o-reducida-de-la-hiperbola\"><\/span> \u041a\u0430\u043d\u043e\u043d\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u0438\u043b\u0438 \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> \u042d\u0442\u043e\u0442 \u0442\u0438\u043f \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b \u043e\u0447\u0435\u043d\u044c \u043f\u043e\u0445\u043e\u0436 \u043d\u0430 \u043e\u0431\u044b\u0447\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435, \u0441 \u0442\u043e\u0439 \u043b\u0438\u0448\u044c \u0440\u0430\u0437\u043d\u0438\u0446\u0435\u0439, \u0447\u0442\u043e \u043a\u0430\u043d\u043e\u043d\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f \u0434\u043b\u044f \u0430\u043d\u0430\u043b\u0438\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u044f \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b, \u0446\u0435\u043d\u0442\u0440\u043e\u043c \u043a\u043e\u0442\u043e\u0440\u044b\u0445 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0442\u043e\u0447\u043a\u0430 (0,0). \u041f\u043e\u044d\u0442\u043e\u043c\u0443 <strong>\u043c\u044b \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c \u043a\u0430\u043d\u043e\u043d\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u0438\u043b\u0438 \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b, \u043a\u043e\u0433\u0434\u0430 \u0446\u0435\u043d\u0442\u0440 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043d\u0430\u0447\u0430\u043b\u043e\u043c \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442.<\/strong><\/p>\n<p> \u0412\u044b\u0432\u0435\u0434\u0435\u043c \u0442\u0435\u043f\u0435\u0440\u044c \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u043d\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b \u0438\u0437 \u0435\u0435 \u043e\u0431\u044b\u043a\u043d\u043e\u0432\u0435\u043d\u043d\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2b3ab0b73fd88032017edcdc4c41fbdb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{(x-x_0)^2}{a^2}-\\cfrac{(y-y_0)^2}{b^2} = 1\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"195\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \u0415\u0441\u043b\u0438 \u0446\u0435\u043d\u0442\u0440 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b \u0434\u043e\u043b\u0436\u0435\u043d \u0431\u044b\u0442\u044c \u043d\u0430\u0447\u0430\u043b\u043e\u043c \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442, \u0442.\u0435. \u0442\u043e\u0447\u043a\u043e\u0439 (0,0), \u0432\u0441\u0435\u0433\u0434\u0430 \u0431\u0443\u0434\u0435\u0442 \u0432\u0435\u0440\u043d\u043e \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\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-f9ec62f2078baa728f7ebfabffd10153_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_0 = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"50\" style=\"vertical-align: -3px;\"><\/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-0fe89d278351632cc7ab2e5843b59d50_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y_0 = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"49\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043a\u0430\u043d\u043e\u043d\u0438\u0447\u0435\u0441\u043a\u0430\u044f \u0438\u043b\u0438 \u0441\u043e\u043a\u0440\u0430\u0449\u0435\u043d\u043d\u0430\u044f \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b \u0431\u0443\u0434\u0435\u0442 \u0438\u043c\u0435\u0442\u044c \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-653c6439435e1d76761300f67aa939d8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\color{orange} \\boxed{\\color{black}\\qquad\\cfrac{x^2}{a^2}-\\cfrac{y^2}{b^2} = 1 \\vphantom{\\cfrac{\\vphantom{\\Bigl(}}{\\vphantom{\\Bigl(}}}\\qquad }\" title=\"Rendered by QuickLaTeX.com\" height=\"80\" width=\"270\" style=\"vertical-align: -35px;\"><\/p>\n<\/p>\n<p> \u041a\u0430\u043a \u0438 \u0440\u0430\u043d\u044c\u0448\u0435, \u0435\u0441\u043b\u0438 \u0431\u044b \u0444\u043e\u043a\u0430\u043b\u044c\u043d\u0430\u044f \u043e\u0441\u044c \u0431\u044b\u043b\u0430 \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u044c\u043d\u043e\u0439, \u0430 \u043d\u0435 \u0433\u043e\u0440\u0438\u0437\u043e\u043d\u0442\u0430\u043b\u044c\u043d\u043e\u0439, \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0439 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439 \u0431\u044b\u043b\u043e \u0431\u044b <em>x<\/em> : <\/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-1d89d30363f5d7ac5992b0d9d8e4397d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{y^2}{a^2}-\\cfrac{x^2}{b^2} = 1\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"90\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ecuacion-general-de-la-hiperbola\"><\/span> \u041e\u0431\u0449\u0435\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> \u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u043e\u0431\u0449\u0435\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b \u0438\u043c\u0435\u0435\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0439 \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-e8e106cce0aeffcded8cfba226c6dc22_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Ax^2 +Bxy+Cy^2 +Dx+Ey+F =0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"299\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> \u041e\u0434\u043d\u0430\u043a\u043e \u0434\u043b\u044f \u0442\u043e\u0433\u043e, \u0447\u0442\u043e\u0431\u044b \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u043d\u043e\u0435 \u0432\u044b\u0448\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0431\u044b\u043b\u043e \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u043e\u0439, \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-25b206f25506e6d6f46be832f7119ffa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"13\" 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-f34f74d98915e33f37a086f8cbfb996a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"C\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u041e\u043d\u0438 \u0434\u043e\u043b\u0436\u043d\u044b \u0431\u044b\u0442\u044c \u043e\u0442\u043b\u0438\u0447\u043d\u044b \u043e\u0442 \u043d\u0443\u043b\u044f \u0438 \u0432 \u0442\u043e \u0436\u0435 \u0432\u0440\u0435\u043c\u044f \u0438\u043c\u0435\u0442\u044c \u043f\u0440\u043e\u0442\u0438\u0432\u043e\u043f\u043e\u043b\u043e\u0436\u043d\u044b\u0439 \u0437\u043d\u0430\u043a. <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ecuacion-de-la-hiperbola-equilatera\"><\/span> \u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0440\u0430\u0432\u043d\u043e\u0441\u0442\u043e\u0440\u043e\u043d\u043d\u0435\u0439 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>\u0420\u0430\u0432\u043d\u043e\u0441\u0442\u043e\u0440\u043e\u043d\u043d\u044f\u044f \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0430<\/strong> \u2013 \u044d\u0442\u043e \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0430, \u0443 \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u0434\u043b\u0438\u043d\u0430 \u0434\u0435\u0439\u0441\u0442\u0432\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0439 \u043f\u043e\u043b\u0443\u043e\u0441\u0438 \u044d\u043a\u0432\u0438\u0432\u0430\u043b\u0435\u043d\u0442\u043d\u0430 \u0434\u043b\u0438\u043d\u0435 \u043c\u043d\u0438\u043c\u043e\u0439 \u043f\u043e\u043b\u0443\u043e\u0441\u0438, \u044d\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442, \u0447\u0442\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-76d8257c341ab795017e6ec1e1565889_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a=b.\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"45\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0440\u0430\u0432\u043d\u043e\u0441\u0442\u043e\u0440\u043e\u043d\u043d\u0435\u0439 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b \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-41a889e08f8508111c6947103382ea8c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{x^2}{a^2}-\\cfrac{y^2}{a^2} = 1\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"90\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0430\u0441\u0438\u043c\u043f\u0442\u043e\u0442\u044b \u0440\u0430\u0432\u043d\u043e\u0441\u0442\u043e\u0440\u043e\u043d\u043d\u0438\u0445 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b \u0434\u0440\u0443\u0433 \u0434\u0440\u0443\u0433\u0443. \u0410 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u044d\u0442\u0438\u0445 \u043b\u0438\u043d\u0438\u0439 \u0442\u0430\u043a\u043e\u0432\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-0a99c26c04ea6299b78366ce136d5675_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=x\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"43\" 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-a174c09e7d620501dd0fce5f658bb9a1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=-x\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"57\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> \u0415\u0441\u043b\u0438 \u0432\u043d\u0438\u043c\u0430\u0442\u0435\u043b\u044c\u043d\u043e \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c, \u044d\u0442\u0438 \u0434\u0432\u0430 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u044e\u0442 \u0441\u043e\u0431\u043e\u0439 \u0431\u0438\u0441\u0441\u0435\u043a\u0442\u0440\u0438\u0441\u044b \u043f\u0435\u0440\u0432\u043e\u0433\u043e (\u0438 \u0442\u0440\u0435\u0442\u044c\u0435\u0433\u043e) \u043a\u0432\u0430\u0434\u0440\u0430\u043d\u0442\u0430 \u0438 \u0432\u0442\u043e\u0440\u043e\u0433\u043e (\u0438 \u0447\u0435\u0442\u0432\u0435\u0440\u0442\u043e\u0433\u043e) \u043a\u0432\u0430\u0434\u0440\u0430\u043d\u0442\u0430 \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0435\u043d\u043d\u043e. \u0418\u0442\u0430\u043a, \u0435\u0441\u043b\u0438 \u043f\u043e\u0432\u0435\u0440\u043d\u0443\u0442\u044c \u0440\u0430\u0432\u043d\u043e\u0441\u0442\u043e\u0440\u043e\u043d\u043d\u044e\u044e \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0443 \u043d\u0430 45\u00b0 \u0432\u043b\u0435\u0432\u043e, \u0435\u0435 \u0430\u0441\u0438\u043c\u043f\u0442\u043e\u0442\u044b \u0437\u0430\u0439\u043c\u0443\u0442 \u043c\u0435\u0441\u0442\u043e \u043e\u0441\u0435\u0439 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442: <\/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-hyperbole-equilaterale.webp\" alt=\"\u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0440\u0430\u0432\u043d\u043e\u0441\u0442\u043e\u0440\u043e\u043d\u043d\u0435\u0439 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b\" class=\"wp-image-2304\" width=\"468\" height=\"425\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> \u0418\u0442\u0430\u043a, \u043a\u043e\u0433\u0434\u0430 \u043c\u044b \u0434\u0435\u043b\u0430\u0435\u043c \u043f\u043e\u0432\u043e\u0440\u043e\u0442 \u043d\u0430 45\u00b0, \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b \u0431\u0443\u0434\u0435\u0442 \u0432\u044b\u0433\u043b\u044f\u0434\u0435\u0442\u044c \u0442\u0430\u043a: <\/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-7d1ceb65ffe8df5812631035e3716fef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\\cdot y = \\cfrac{a^2}{k}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"76\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"hiperbolas-conjugadas\"><\/span> \u0441\u043e\u043f\u0440\u044f\u0436\u0435\u043d\u043d\u044b\u0435 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>\u0414\u0432\u0435 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b \u043d\u0430\u0437\u044b\u0432\u0430\u044e\u0442\u0441\u044f \u0441\u043e\u043f\u0440\u044f\u0436\u0435\u043d\u043d\u044b\u043c\u0438, \u0435\u0441\u043b\u0438 \u0434\u0435\u0439\u0441\u0442\u0432\u0438\u0442\u0435\u043b\u044c\u043d\u0430\u044f \u043e\u0441\u044c \u043e\u0434\u043d\u043e\u0439 \u044d\u043a\u0432\u0438\u0432\u0430\u043b\u0435\u043d\u0442\u043d\u0430 \u043c\u043d\u0438\u043c\u043e\u0439 \u043e\u0441\u0438 \u0434\u0440\u0443\u0433\u043e\u0439<\/strong> . \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u0435\u0434\u0438\u043d\u0441\u0442\u0432\u0435\u043d\u043d\u0430\u044f \u0440\u0430\u0437\u043d\u0438\u0446\u0430 \u043c\u0435\u0436\u0434\u0443 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f\u043c\u0438 \u0434\u0432\u0443\u0445 \u0441\u043e\u043f\u0440\u044f\u0436\u0435\u043d\u043d\u044b\u0445 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b \u0437\u0430\u043a\u043b\u044e\u0447\u0430\u0435\u0442\u0441\u044f \u0432 \u0442\u043e\u043c, \u043a\u0430\u043a\u0430\u044f \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u0430\u044f \u043e\u0442\u0440\u0438\u0446\u0430\u0435\u0442\u0441\u044f, \u0432\u0435\u0434\u044c \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u044b \u043f\u0440\u0438 \u0437\u043d\u0430\u043c\u0435\u043d\u0430\u0442\u0435\u043b\u044f\u0445 \u0434\u043e\u043b\u0436\u043d\u044b \u043e\u0441\u0442\u0430\u0432\u0430\u0442\u044c\u0441\u044f \u043f\u0440\u0435\u0436\u043d\u0438\u043c\u0438.<\/p>\n<p> \u0412\u043e\u0442 \u043f\u0440\u0438\u043c\u0435\u0440 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0434\u0432\u0443\u0445 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b, \u0441\u043e\u043f\u0440\u044f\u0436\u0435\u043d\u043d\u044b\u0445 \u0434\u0440\u0443\u0433 \u0434\u0440\u0443\u0433\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-1d53db10e1f9803780acbba6c67d420b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{x^2}{a^2} - \\cfrac{y^2}{b^2}=1 \\qquad \\qquad  \\cfrac{y^2}{b^2}-\\cfrac{x^2}{a^2} =1\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"254\" style=\"vertical-align: -12px;\"><\/p>\n<\/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-des-hyperboles-conjuguees.webp\" alt=\"\u0441\u043e\u043f\u0440\u044f\u0436\u0435\u043d\u043d\u044b\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b\" class=\"wp-image-2308\" width=\"430\" height=\"391\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u043a\u0430\u043a \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u0432\u0438\u0434\u0435\u0442\u044c \u0438\u0437 \u0438\u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u043d\u044b\u0445 \u043d\u0430 \u0433\u0440\u0430\u0444\u0438\u043a\u0435 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b, \u0441\u043e\u043f\u0440\u044f\u0436\u0435\u043d\u043d\u044b\u0435 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b \u0438\u043c\u0435\u044e\u0442 \u043e\u0434\u043d\u0438 \u0438 \u0442\u0435 \u0436\u0435 \u0430\u0441\u0438\u043c\u043f\u0442\u043e\u0442\u044b.<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"asintotas-de-la-hiperbola\"><\/span>\u0410\u0441\u0438\u043c\u043f\u0442\u043e\u0442\u044b \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u041a\u0430\u043a \u0432\u044b \u0432\u0438\u0434\u0435\u043b\u0438 \u043d\u0430 \u043f\u0440\u0435\u0434\u044b\u0434\u0443\u0449\u0438\u0445 \u0433\u0440\u0430\u0444\u0438\u043a\u0430\u0445, \u043a\u0430\u0436\u0434\u0430\u044f \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0430 \u0438\u043c\u0435\u0435\u0442 \u0434\u0432\u0435 \u0430\u0441\u0438\u043c\u043f\u0442\u043e\u0442\u044b. \u041f\u043e\u043c\u043d\u0438\u0442\u0435, \u0447\u0442\u043e \u0430\u0441\u0438\u043c\u043f\u0442\u043e\u0442\u0430 \u2014 \u044d\u0442\u043e \u043f\u0440\u044f\u043c\u0430\u044f \u043b\u0438\u043d\u0438\u044f, \u043a\u043e\u0442\u043e\u0440\u0430\u044f \u043e\u0447\u0435\u043d\u044c \u0431\u043b\u0438\u0437\u043a\u043e \u043f\u0440\u0438\u0431\u043b\u0438\u0436\u0430\u0435\u0442\u0441\u044f \u043a \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u043d\u043e \u043d\u0438\u043a\u043e\u0433\u0434\u0430 \u043f\u043e\u043b\u043d\u043e\u0441\u0442\u044c\u044e \u043d\u0435 \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u0435\u0442 \u0438 \u043d\u0435 \u043a\u0430\u0441\u0430\u0435\u0442\u0441\u044f \u0435\u0435.<\/p>\n<p> \u0418\u0442\u0430\u043a, \u0444\u043e\u0440\u043c\u0443\u043b\u044b, \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0449\u0438\u0435 \u0430\u0441\u0438\u043c\u043f\u0442\u043e\u0442\u0430\u043c \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b:<\/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-4d50d6c5ebf08aabc0b03be7e7bac218_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y= \\cfrac{b}{a} x\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"54\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ecebcdc0521000a1f941340fd05f84a6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y= -\\cfrac{b}{a}x\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"68\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \u0422\u0430\u043a \u0447\u0442\u043e \u0430\u0441\u0438\u043c\u043f\u0442\u043e\u0442\u044b \u043b\u044e\u0431\u043e\u0439 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b \u043c\u043e\u0436\u043d\u043e \u043b\u0435\u0433\u043a\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u0435\u0435 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\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-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-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> \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0435\u043d\u043d\u043e \u0434\u043b\u0438\u043d\u0430\u043c\u0438 \u0434\u0435\u0439\u0441\u0442\u0432\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0439 \u043f\u043e\u043b\u0443\u043e\u0441\u0438 \u0438 \u043c\u043d\u0438\u043c\u043e\u0439 \u043f\u043e\u043b\u0443\u043e\u0441\u0438 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"excentricidad-de-la-hiperbola\"><\/span>\u042d\u043a\u0441\u0446\u0435\u043d\u0442\u0440\u0438\u0441\u0438\u0442\u0435\u0442 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\u042d\u043a\u0441\u0446\u0435\u043d\u0442\u0440\u0438\u0441\u0438\u0442\u0435\u0442 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b<\/strong> \u2014 \u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u043d\u044b\u0439 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440, \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u044f\u044e\u0449\u0438\u0439, \u043d\u0430\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u043e\u043d\u0430 \u043e\u0442\u043a\u0440\u044b\u0442\u0430 \u0438\u043b\u0438 \u0437\u0430\u043a\u0440\u044b\u0442\u0430. \u0427\u0438\u0441\u043b\u0435\u043d\u043d\u043e \u044d\u043a\u0441\u0446\u0435\u043d\u0442\u0440\u0438\u0441\u0438\u0442\u0435\u0442 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u044b\u0432\u0430\u0435\u0442\u0441\u044f \u043f\u0443\u0442\u0435\u043c \u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0435\u0435 \u043f\u043e\u043b\u0443\u0444\u043e\u043a\u0443\u0441\u043d\u043e\u0433\u043e \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u044f \u043d\u0430 \u0435\u0435 \u0434\u0435\u0439\u0441\u0442\u0432\u0438\u0442\u0435\u043b\u044c\u043d\u0443\u044e \u043f\u043e\u043b\u0443\u043e\u0441\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-7290cf41b85af2331d8634e251ca44b9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"e=\\cfrac{c}{a}\" title=\"Rendered by QuickLaTeX.com\" height=\"34\" width=\"44\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \u042d\u043a\u0441\u0446\u0435\u043d\u0442\u0440\u0438\u0441\u0438\u0442\u0435\u0442 \u043b\u044e\u0431\u043e\u0439 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b \u0432\u0441\u0435\u0433\u0434\u0430 \u0431\u043e\u043b\u044c\u0448\u0435 1:<\/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-47a5ae71a1f4a771f6017b1fc5600ec4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"e>1&#8243; title=&#187;Rendered by QuickLaTeX.com&#187; height=&#187;14&#8243; width=&#187;40&#8243; style=&#187;vertical-align: -2px;&#187;><\/p>\n<\/p>\n<p> \u0417\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u044d\u0442\u043e\u0433\u043e \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0430 \u0432\u0435\u0441\u044c\u043c\u0430 \u0430\u043a\u0442\u0443\u0430\u043b\u044c\u043d\u043e, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0443\u043a\u0430\u0437\u044b\u0432\u0430\u0435\u0442 \u043d\u0430 \u0444\u043e\u0440\u043c\u0443 \u0437\u0430\u0434\u0430\u043d\u043d\u043e\u0439 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b. \u0427\u0435\u043c \u0431\u043b\u0438\u0436\u0435 \u044d\u043a\u0441\u0446\u0435\u043d\u0442\u0440\u0438\u0441\u0438\u0442\u0435\u0442 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b \u043a 1, \u0442\u0435\u043c \u0431\u043e\u043b\u0435\u0435 \u0437\u0430\u043c\u043a\u043d\u0443\u0442\u044b\u043c\u0438 \u0431\u0443\u0434\u0443\u0442 \u0435\u0435 \u0432\u0435\u0442\u0432\u0438; \u0441 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u0447\u0435\u043c \u0431\u043e\u043b\u044c\u0448\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u044d\u043a\u0441\u0446\u0435\u043d\u0442\u0440\u0438\u0441\u0438\u0442\u0435\u0442\u0430, \u0442\u0435\u043c \u0431\u043e\u043b\u0435\u0435 \u043e\u0442\u043a\u0440\u044b\u0442\u044b\u043c\u0438 \u0431\u0443\u0434\u0443\u0442 \u0435\u0433\u043e \u0432\u0435\u0442\u0432\u0438. <\/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\/excentricite-dune-hyperbole.webp\" alt=\"\u044d\u043a\u0441\u0446\u0435\u043d\u0442\u0440\u0438\u0447\u043d\u043e\u0441\u0442\u044c \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b\" class=\"wp-image-2314\" width=\"413\" height=\"182\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> \u041d\u0430\u043a\u043e\u043d\u0435\u0446, \u0441\u043b\u0435\u0434\u0443\u0435\u0442 \u043e\u0442\u043c\u0435\u0442\u0438\u0442\u044c, \u0447\u0442\u043e \u044d\u043a\u0441\u0446\u0435\u043d\u0442\u0440\u0438\u0441\u0438\u0442\u0435\u0442 \u0440\u0430\u0432\u043d\u043e\u0441\u0442\u043e\u0440\u043e\u043d\u043d\u0435\u0439 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b \u0432\u0441\u0435\u0433\u0434\u0430 \u0440\u0430\u0432\u0435\u043d <\/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-dcc432e053b2cf0b17f199b8eb91ab1f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sqrt{2}.\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"27\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-hiperbolas\"><\/span> \u0420\u0435\u0448\u0435\u043d\u044b \u0437\u0430\u0434\u0430\u0447\u0438 \u0441 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u043e\u0439<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u041d\u0438\u0436\u0435 \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u043f\u043e\u043f\u0440\u0430\u043a\u0442\u0438\u043a\u043e\u0432\u0430\u0442\u044c\u0441\u044f \u0432 \u0438\u0437\u0443\u0447\u0435\u043d\u043d\u044b\u0445 \u043d\u0430\u043c\u0438 \u043a\u043e\u043d\u0446\u0435\u043f\u0446\u0438\u044f\u0445 \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u0437\u0430\u0434\u0430\u0447 \u0438 \u0440\u0435\u0448\u0435\u043d\u0438\u0439 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0439 \u0441 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0430\u043c\u0438 \u0438 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435\u043c \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b.<\/p>\n<h3 class=\"wp-block-heading\"> \u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 1<\/h3>\n<p> \u041a\u0430\u043a\u043e\u0432\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b \u0441 \u0446\u0435\u043d\u0442\u0440\u043e\u043c \u0432 \u0442\u043e\u0447\u043a\u0435 (-1,3), \u0434\u043b\u0438\u043d\u043e\u0439 \u0434\u0435\u0439\u0441\u0442\u0432\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0439 \u043f\u043e\u043b\u0443\u043e\u0441\u0438 3 \u0435\u0434\u0438\u043d\u0438\u0446\u044b \u0438 \u0434\u043b\u0438\u043d\u043e\u0439 \u043c\u043d\u0438\u043c\u043e\u0439 \u043f\u043e\u043b\u0443\u043e\u0441\u0438 (\u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u043e\u0439 \u043e\u0441\u0438 Y) 7 \u0435\u0434\u0438\u043d\u0438\u0446? <\/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 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b, \u043f\u0440\u043e\u0441\u0442\u043e \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u0442\u0435 \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u043e\u0431\u044b\u0447\u043d\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\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-2b3ab0b73fd88032017edcdc4c41fbdb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{(x-x_0)^2}{a^2}-\\cfrac{(y-y_0)^2}{b^2} = 1\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"195\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041f\u043e\u0434\u0441\u0442\u0430\u0432\u0438\u043c \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0446\u0435\u043d\u0442\u0440\u0430 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b \u0432 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\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-cb8ad6c303104b76fdfe294488c60b30_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{(x-(-1))^2}{a^2}-\\cfrac{(y-3)^2}{b^2} = 1\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"206\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bd828d8d4d401a7179e88f283b89fb0d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{(x+1)^2}{a^2}-\\cfrac{(y-3)^2}{b^2} = 1\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"179\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418 \u043d\u0430\u043a\u043e\u043d\u0435\u0446, \u043f\u043e\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\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-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-4586bc1b16791cf732fc00ee37db4357_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b:\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"17\" 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-fc9216ffda5e5a35c5349a4c0162f456_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{(x+1)^2}{3^2}-\\cfrac{(y-3)^2}{7^2} = 1\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"179\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3a6dc9e5e100bccc73644512fcac3344_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{\\bm{(x+1)^2}}{\\bm{9}}\\bm{-}\\cfrac{\\bm{(y-3)^2}}{\\bm{49}} \\bm{= 1}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"166\" style=\"vertical-align: -12px;\"><\/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> \u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0446\u0435\u043d\u0442\u0440\u0430, \u0432\u0435\u0440\u0448\u0438\u043d, \u0444\u043e\u043a\u0443\u0441\u043e\u0432, \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u044d\u043a\u0441\u0446\u0435\u043d\u0442\u0440\u0438\u0441\u0438\u0442\u0435\u0442\u0430 \u0438 \u0430\u0441\u0438\u043c\u043f\u0442\u043e\u0442\u044b \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b, \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u044f\u0435\u0442\u0441\u044f \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-024bdc18c959ac2ec840e7701edb4c2d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{x^2}{25}-\\cfrac{y^2}{144} = 1\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"100\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u041f\u0440\u0435\u0436\u0434\u0435 \u0432\u0441\u0435\u0433\u043e \u0441\u043b\u0435\u0434\u0443\u0435\u0442 \u043e\u0442\u043c\u0435\u0442\u0438\u0442\u044c, \u0447\u0442\u043e \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0439 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439 \u0432 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0438 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u0430\u044f <em>y<\/em> , \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0432\u0435\u0442\u0432\u0438 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b \u0431\u0443\u0434\u0443\u0442 \u043e\u0442\u043a\u0440\u044b\u0432\u0430\u0442\u044c\u0441\u044f \u0432\u043f\u0440\u0430\u0432\u043e \u0438 \u0432\u043b\u0435\u0432\u043e (\u0444\u043e\u043a\u0430\u043b\u044c\u043d\u0430\u044f \u043e\u0441\u044c \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u0430 \u043e\u0441\u0438 X).<\/p>\n<p class=\"has-text-align-left\"> \u0412\u043e-\u0432\u0442\u043e\u0440\u044b\u0445, \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u043a\u0430\u043d\u043e\u043d\u0438\u0447\u0435\u0441\u043a\u043e\u043c\u0443 (\u0438\u043b\u0438 \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u043d\u043e\u043c\u0443) \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044e \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0435\u0433\u043e \u0446\u0435\u043d\u0442\u0440 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043d\u0430\u0447\u0430\u043b\u043e\u043c \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-6cc3df15d40bf714accb800d97cc619d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{O(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\"> \u0417\u043d\u0430\u044f \u0446\u0435\u043d\u0442\u0440 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b, \u0434\u043b\u044f \u0440\u0430\u0441\u0447\u0435\u0442\u0430 \u0432\u0441\u0435\u0433\u043e \u043e\u0441\u0442\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u043d\u0430\u0439\u0442\u0438 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0440\u0435\u0430\u043b\u044c\u043d\u043e\u0439 \u043f\u043e\u043b\u0443\u043e\u0441\u0438 (\u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440<\/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> ) \u0438 \u043c\u043d\u0438\u043c\u0443\u044e \u043f\u043e\u043b\u0443\u043e\u0441\u044c (\u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440<\/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> ). \u0418 \u0442\u043e, \u0438 \u0434\u0440\u0443\u0433\u043e\u0435 \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0432\u044b\u0432\u0435\u0441\u0442\u0438 \u0438\u0437 \u0444\u043e\u0440\u043c\u0443\u043b\u044b \u043a\u0430\u043d\u043e\u043d\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e (\u0438\u043b\u0438 \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u043d\u043e\u0433\u043e) \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\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-c236b71767c0cd45cba2e3be0826c02c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{x^2}{a^2}-\\cfrac{y^2}{b^2} = 1\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"90\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-024bdc18c959ac2ec840e7701edb4c2d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{x^2}{25}-\\cfrac{y^2}{144} = 1\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"100\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-99\">\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c686e5df986b42acb7cae3ffa7226636_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^2 = 25\" 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-30e75133dba02b3a9db45660814d8a8a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a = \\sqrt{25}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"66\" style=\"vertical-align: -2px;\"><\/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-05c584db6eed155346c907e19f10f11f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a = 5\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"41\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7e82b959fd678557ff50e9c147f301b7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b^2 = 144\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"66\" 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-8eb15c44c5845841e91b49a46c744c5b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b= \\sqrt{144}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"73\" style=\"vertical-align: -2px;\"><\/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-517b154a5fe27c41ae6666be7858a2a7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b = 12\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"48\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u0418\u0442\u0430\u043a, \u0435\u0441\u043b\u0438 \u043c\u0435\u0436\u0434\u0443 \u0446\u0435\u043d\u0442\u0440\u043e\u043c \u0438 \u0432\u0435\u0440\u0448\u0438\u043d\u0430\u043c\u0438 \u0435\u0441\u0442\u044c \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u0432 5 \u0435\u0434\u0438\u043d\u0438\u0446, \u044d\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442, \u0447\u0442\u043e \u0432\u0435\u0440\u0448\u0438\u043d\u044b \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b:<\/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-6a4fcc88007b1dd5424d647be5940951_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{A(-5,0) \\qquad A'(5,0)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"158\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0414\u043b\u044f \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442 \u043a\u0430\u0436\u0434\u043e\u0439 \u0442\u043e\u0447\u043a\u0438 \u0444\u043e\u043a\u0443\u0441\u0430 \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0437\u043d\u0430\u0442\u044c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u043f\u043e\u043b\u043e\u0432\u0438\u043d\u044b \u0444\u043e\u043a\u0443\u0441\u043d\u043e\u0433\u043e \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u044f (\u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440<\/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-41a04eeea923a1a0c28094a8a4680525_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"c\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> ). \u0418 \u0434\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0444\u043e\u0440\u043c\u0443\u043b\u0443, \u0441\u043e\u0435\u0434\u0438\u043d\u044f\u044e\u0449\u0443\u044e \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u044b \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\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-6d7a13f23d60337d2591c3d955d44faf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"c^2 = a^2+b^2\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"93\" style=\"vertical-align: -2px;\"><\/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-44e92e889aa75e6513e84583d2e6b63f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"c = \\sqrt{a^2+b^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"101\" style=\"vertical-align: -2px;\"><\/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-33e9779ed2710c2a5847aed0250c44de_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"c = \\sqrt{5^2+12^2} = \\sqrt{169} =13\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"216\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043c\u0435\u0436\u0434\u0443 \u0446\u0435\u043d\u0442\u0440\u043e\u043c \u0438 \u0434\u043e\u043c\u0430\u043c\u0438 \u0438\u043c\u0435\u0435\u0442\u0441\u044f \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u043e \u0432 13 \u043a\u0432\u0430\u0440\u0442\u0438\u0440. \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u0434\u043e\u043c\u043e\u0445\u043e\u0437\u044f\u0439\u0441\u0442\u0432\u0430 \u0442\u0430\u043a\u043e\u0432\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-7e00737bd255cf07f0a2cc1439ee20fa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{F(-13,0) \\qquad F'(13,0)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"177\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u043e\u0433\u0434\u0430 \u0434\u043b\u044f \u0440\u0430\u0441\u0447\u0435\u0442\u0430 \u044d\u043a\u0441\u0446\u0435\u043d\u0442\u0440\u0438\u0441\u0438\u0442\u0435\u0442\u0430 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0432\u043e\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c\u0441\u044f \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0449\u0435\u0439 \u0435\u0439 \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-07e71b6f9c085cd16386db6dbfa535fc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"e= \\cfrac{c}{a} = \\cfrac{13}{5} = \\bm{2,6}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"136\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418, \u043d\u0430\u043a\u043e\u043d\u0435\u0446, \u043d\u0430\u0445\u043e\u0434\u0438\u043c \u0430\u0441\u0438\u043c\u043f\u0442\u043e\u0442\u044b \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b \u043f\u043e \u0438\u0445 \u0444\u043e\u0440\u043c\u0443\u043b\u0430\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-f40446ceecabf0eef8002b00c4573509_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y= \\cfrac{b}{a} x \\ \\longrightarrow \\ \\bm{y=}\\mathbf{\\cfrac{12}{5}}\\bm{ x}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"165\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4342ba83cc31ebbddfb3ec9af9cb1a81_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y= -\\cfrac{b}{a}x \\ \\longrightarrow \\ \\bm{y=-}\\mathbf{\\cfrac{12}{5}}\\bm{ x}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"198\" style=\"vertical-align: -12px;\"><\/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> \u0420\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0439\u0442\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b \u0441 \u0446\u0435\u043d\u0442\u0440\u043e\u043c \u0432 \u043d\u0430\u0447\u0430\u043b\u0435 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442, \u0437\u043d\u0430\u044f, \u0447\u0442\u043e \u0440\u0430\u0437\u043d\u0438\u0446\u0430 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0439 \u043e\u0442 \u0442\u043e\u0447\u043a\u0438 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b \u0434\u043e \u0444\u043e\u043a\u0443\u0441\u043e\u0432 F(-4,0) \u0438 F(4,0) \u0441\u043e\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 6 \u0435\u0434\u0438\u043d\u0438\u0446. <\/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\"> \u0412\u043e-\u043f\u0435\u0440\u0432\u044b\u0445, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0430 \u0438\u043c\u0435\u0435\u0442 \u0446\u0435\u043d\u0442\u0440 \u0432 \u043d\u0430\u0447\u0430\u043b\u0435 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442, \u043c\u044b \u0432\u043e\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c\u0441\u044f \u043a\u0430\u043d\u043e\u043d\u0438\u0447\u0435\u0441\u043a\u0438\u043c \u0438\u043b\u0438 \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u043d\u044b\u043c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435\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-c236b71767c0cd45cba2e3be0826c02c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{x^2}{a^2}-\\cfrac{y^2}{b^2} = 1\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"90\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u043e\u0433\u0434\u0430, \u0441\u043e\u0433\u043b\u0430\u0441\u043d\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044e \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b, \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u0430\u044f \u0432\u0435\u043b\u0438\u0447\u0438\u043d\u0430 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0439 \u043e\u0442 \u043e\u0434\u043d\u043e\u0439 \u0438\u0437 \u0435\u0435 \u0442\u043e\u0447\u0435\u043a \u0434\u043e \u0444\u043e\u043a\u0443\u0441\u043e\u0432 (\u043a\u043e\u0442\u043e\u0440\u0430\u044f \u0432 \u0434\u0430\u043d\u043d\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u0440\u0430\u0432\u043d\u0430 6) \u0434\u043e\u043b\u0436\u043d\u0430 \u0431\u044b\u0442\u044c \u0440\u0430\u0432\u043d\u0430 \u0434\u043b\u0438\u043d\u0435 \u0432\u0435\u0449\u0435\u0441\u0442\u0432\u0435\u043d\u043d\u043e\u0439 \u043e\u0441\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-02baaffe4ddb6a44400eb7ba175e566c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2a\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: 0px;\"><\/p>\n<p> ). \u0415\u0449\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-08f25424560ca1e7449189d00268f0b9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert d_1 - d_2 \\rvert = 2a\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"105\" 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-c92fd32d1b9224d57070def8a33317cf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"6 = 2a\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"51\" 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-f7697991f6530286db135148771103bf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{6}{2} = a\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"41\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-69c8e4eacfcdf3d15f0ab833a6f785b7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3 = a\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"42\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0421 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u0446\u0435\u043d\u0442\u0440\u043e\u043c \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u044b \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0442\u043e\u0447\u043a\u0430 (0,0), \u0430 \u0444\u043e\u043a\u0443\u0441\u043e\u043c \u2014 \u0442\u043e\u0447\u043a\u0430 (4,0). \u0427\u0442\u043e\u0431\u044b \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u0434\u043e \u0434\u0432\u0443\u0445 \u0442\u043e\u0447\u0435\u043a (\u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440<\/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-41a04eeea923a1a0c28094a8a4680525_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"c\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> ) \u2014 4 \u0435\u0434\u0438\u043d\u0438\u0446\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-19e4bf3e3b4b653178b1bed74696bd59_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"c =4\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"40\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0435\u043f\u0435\u0440\u044c \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0443\u0437\u043d\u0430\u0442\u044c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u043f\u0430\u0440\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-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> \u0441 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u0441\u0432\u044f\u0437\u044c\u044e \u043c\u0435\u0436\u0434\u0443 \u0442\u0440\u0435\u043c\u044f \u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u0438\u0441\u0442\u0438\u0447\u0435\u0441\u043a\u0438\u043c\u0438 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u0430\u043c\u0438 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\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-6d7a13f23d60337d2591c3d955d44faf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"c^2 = a^2+b^2\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"93\" style=\"vertical-align: -2px;\"><\/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-20f1823b7d594ff5ce46d7a3fa93d705_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b^2 = c^2-a^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"92\" 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-bf1c86f4503ca5f0a9f512fcd52694c2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b = \\sqrt{c^2-a^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"101\" style=\"vertical-align: -2px;\"><\/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-0c9365659745d3a91bd4edb6f8aeed7e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b= \\sqrt{4^2-3^2} = \\sqrt{16-9} =\\sqrt{7}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"235\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418\u0442\u0430\u043a, \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\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-c236b71767c0cd45cba2e3be0826c02c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{x^2}{a^2}-\\cfrac{y^2}{b^2} = 1\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"90\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4dd94f2521da1a5f549dfacf1c499539_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{x^2}{3^2}-\\cfrac{y^2}{\\left(\\sqrt{7}\\right)^2} = 1\" title=\"Rendered by QuickLaTeX.com\" height=\"53\" width=\"121\" style=\"vertical-align: -24px;\"><\/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-8fbcb767276c1ec68bb1bfaa2af8d478_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{\\bm{x^2}}{\\bm{9}}-\\cfrac{\\bm{y^2}}{\\bm{7}} \\bm{= 1}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"85\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u0417\u0434\u0435\u0441\u044c \u0432\u044b \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u0432\u0441\u0435 \u043e \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0435: \u0447\u0442\u043e \u044d\u0442\u043e \u0442\u0430\u043a\u043e\u0435, \u043a\u0430\u043a\u043e\u0432\u044b \u0435\u0435 \u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u043d\u044b\u0435 \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u044b, \u043a\u0430\u043a \u043d\u0430\u0439\u0442\u0438 \u0435\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435, \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 \u0438 \u0442. \u0434. \u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0430? \u0413\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0430 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u0441\u043e\u0431\u043e\u0439 \u0440\u0430\u0437\u043e\u043c\u043a\u043d\u0443\u0442\u0443\u044e \u043a\u0440\u0438\u0432\u0443\u044e \u0441 \u0434\u0432\u0443\u043c\u044f \u0432\u0435\u0442\u0432\u044f\u043c\u0438, \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435: \u0412 \u0430\u043d\u0430\u043b\u0438\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0438 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0430 \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, \u0443\u0434\u043e\u0432\u043b\u0435\u0442\u0432\u043e\u0440\u044f\u044e\u0449\u0435\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u043c\u0443 \u0443\u0441\u043b\u043e\u0432\u0438\u044e: \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u043e\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ru\/%d0%be%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%b3%d0%b8%d0%bf%d0%b5%d1%80%d0%b1%d0%be%d0%bb%d1%8b-%d1%8d%d0%bb%d0%b5%d0%bc%d0%b5%d0%bd%d1%82%d1%8b-%d1%84%d0%be%d1%80%d0%bc\/\"> <span class=\"screen-reader-text\">\u0413\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0430: \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435, \u0444\u043e\u0440\u043c\u0443\u043b\u0430, \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u044b, \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435, \u043f\u0440\u0438\u043c\u0435\u0440\u044b,\u2026<\/span> \u0427\u0438\u0442\u0430\u0442\u044c \u0434\u0430\u043b\u0435\u0435 &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[5],"tags":[],"class_list":["post-241","post","type-post","status-publish","format-standard","hentry","category-5"],"yoast_head":"<!-- This site is optimized 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