{"id":340,"date":"2023-06-27T16:56:10","date_gmt":"2023-06-27T13:56:10","guid":{"rendered":"https:\/\/bagrut-ru.com\/?p=340"},"modified":"2025-09-04T17:44:34","modified_gmt":"2025-09-04T14:44:34","slug":"%d0%b1%d0%b0%d0%b3%d1%80%d1%83%d1%82-5-%d0%bb%d0%b5%d1%82%d0%be-2023-%d0%b2%d0%b0%d1%80%d0%b8%d0%b0%d0%bd%d1%82-35571-%d0%b7%d0%b0%d0%b4%d0%b0%d0%bd%d0%b8%d0%b5-4","status":"publish","type":"post","link":"https:\/\/bagrut-ru.com\/?p=340","title":{"rendered":"\u0411\u0410\u0413\u0420\u0423\u0422 (5). \u041b\u0415\u0422\u041e 2023, \u0412\u0410\u0420\u0418\u0410\u041d\u0422 35571, \u0417\u0410\u0414\u0410\u041d\u0418\u0415 4"},"content":{"rendered":"\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-1 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"510\" data-id=\"341\" src=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/21-1024x510.png\" alt=\"\" class=\"wp-image-341\" srcset=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/21-1024x510.png 1024w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/21-300x149.png 300w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/21-768x382.png 768w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/21.png 1322w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/figure>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-2 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"569\" data-id=\"342\" src=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/22-1024x569.png\" alt=\"\" class=\"wp-image-342\" srcset=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/22-1024x569.png 1024w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/22-300x167.png 300w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/22-768x427.png 768w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/22.png 1266w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/meyda.education.gov.il\/sheeloney_bagrut\/2023\/1\/RUS\/35571.pdf\" data-type=\"link\" data-id=\"https:\/\/meyda.education.gov.il\/sheeloney_bagrut\/2023\/1\/RUS\/35571.pdf\">\u0438\u0441\u0442\u043e\u0447\u043d\u0438\u043a<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><div class=\"spoiler-wrap\">\n\t\t\t\t<div class=\"spoiler-head folded\">\u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/div>\n\t\t\t\t<div class=\"spoiler-body\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"> \u041e\u0442\u043c\u0435\u0442\u0438\u043c \u043d\u0430 \u0447\u0435\u0440\u0442\u0435\u0436\u0435 \u0440\u0430\u0432\u043d\u044b\u0435 \u0443\u0433\u043b\u0430. \u0412\u043e\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c\u0441\u044f \u0442\u0435\u043e\u0440\u0435\u043c\u0430\u043c\u0438:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u0412\u043f\u0438\u0441\u0430\u043d\u043d\u044b\u0435 \u0443\u0433\u043b\u044b, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u043e\u043f\u0438\u0440\u0430\u044e\u0442\u0441\u044f \u043d\u0430 \u0440\u0430\u0432\u043d\u044b\u0435 \u0434\u0443\u0433\u0438 \u0438\u043b\u0438 \u043d\u0430 \u043e\u0434\u043d\u0443 \u0438 \u0442\u0443 \u0436\u0435 \u0434\u0443\u0433\u0443, \u0440\u0430\u0432\u043d\u044b.<\/li>\n\n\n\n<li>\u0423\u0433\u043e\u043b \u043c\u0435\u0436\u0434\u0443 \u0445\u043e\u0440\u0434\u043e\u0439 \u0438 \u043a\u0430\u0441\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0439, \u043f\u0440\u043e\u0432\u0435\u0434\u0435\u043d\u043d\u043e\u0439 \u0447\u0435\u0440\u0435\u0437 \u043a\u043e\u043d\u0435\u0446 \u0445\u043e\u0440\u0434\u044b, \u0440\u0430\u0432\u0435\u043d \u043e\u0441\u0442\u0440\u043e\u043c\u0443 \u0432\u043f\u0438\u0441\u0430\u043d\u043d\u043e\u043c\u0443 \u0443\u0433\u043b\u0443, \u043a\u043e\u0442\u043e\u0440\u044b\u0439 \u043e\u043f\u0438\u0440\u0430\u0435\u0442\u0441\u044f \u043d\u0430 \u044d\u0442\u0443 \u0445\u043e\u0440\u0434\u0443. <\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\">\u0420\u0430\u0432\u043d\u044b\u0435 \u0443\u0433\u043b\u044b \u043e\u0442\u043c\u0435\u0442\u0438\u043c \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u044b\u043c \u0446\u0432\u0435\u0442\u043e\u043c:<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-3 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"742\" height=\"610\" data-id=\"346\" src=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/23-1.png\" alt=\"\" class=\"wp-image-346\" srcset=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/23-1.png 742w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/23-1-300x247.png 300w\" sizes=\"auto, (max-width: 742px) 100vw, 742px\" \/><\/figure>\n<\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<ol class=\"wp-block-list\">\n<li>\\(\\measuredangle CAE=\\measuredangle EAB \\) (\u0442. \u043a \\(\\smile BE=\\smile EC\\) \u043f\u043e \u0443\u0441\u043b\u043e\u0432\u0438\u044e. <\/li>\n\n\n\n<li>\\(\\measuredangle CAE=\\measuredangle CBE \\) (\u0442. \u043a \u043e\u043f\u0438\u0440\u0430\u044e\u0442\u0441\u044f \u043d\u0430 \u043e\u0434\u043d\u0443 \u0434\u0443\u0433\u0443 \\(\\smile EC\\) <\/li>\n\n\n\n<li>\\(\\measuredangle BCE=\\measuredangle BAE \\)(\u0442. \u043a \u043e\u043f\u0438\u0440\u0430\u044e\u0442\u0441\u044f \u043d\u0430 \u043e\u0434\u043d\u0443 \u0434\u0443\u0433\u0443 \\(\\smile BE\\) <\/li>\n\n\n\n<li>\\(\\measuredangle AEB=\\measuredangle ACB \\) (\u0442. \u043a \u043e\u043f\u0438\u0440\u0430\u044e\u0442\u0441\u044f \u043d\u0430 \u043e\u0434\u043d\u0443 \u0434\u0443\u0433\u0443 \\(\\smile AB\\) <\/li>\n\n\n\n<li>\\(\\measuredangle BEG=\\measuredangle BCE \\) ( \u043f\u043e \u0442\u0435\u043e\u0440\u0435\u043c\u0435 \u043e\u0431 \u0443\u0433\u043b\u0435 \u043c\u0435\u0436\u0434\u0443 \u0445\u043e\u0440\u0434\u043e\u0439 \u0438 \u043a\u0430\u0441\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0439) <\/li>\n\n\n\n<li>\\(\\measuredangle CAE=\\measuredangle GAE =\\measuredangle CBE=\\measuredangle BEG\\) (\u0438\u0437 \u0443\u0442\u0432 1, 2, 3, 5)<\/li>\n<\/ol>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-4 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"646\" height=\"630\" data-id=\"350\" src=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/24.png\" alt=\"\" class=\"wp-image-350\" srcset=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/24.png 646w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/24-300x293.png 300w\" sizes=\"auto, (max-width: 646px) 100vw, 646px\" \/><\/figure>\n<\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"wp-block-paragraph\"><strong>(\u05d0)<\/strong> \u0420\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0438\u043c \u0442\u0440\u0435\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a\u0438 \\(ACE\\) \u0438 \\(AEG\\).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(\\measuredangle AEG=\\measuredangle AEB+\\measuredangle BEG=\\measuredangle ACB+\\measuredangle BCE=\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(=\\measuredangle ACE \\) (\u0438\u0437 \u0443\u0442\u0432. 4. \u0438 5. )<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(\\measuredangle GAE=\\measuredangle EAC\\) (\u0438\u0437 \u0443\u0442\u0432 1.)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \\(\\Delta ACE \\sim \\Delta AEG\\) \u043f\u043e \u0434\u0432\u0443\u043c \u0443\u0433\u043b\u0430\u043c. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0427\u0442\u043e \u0438 \u0442\u0440\u0435\u0431\u043e\u0432\u0430\u043b\u043e\u0441\u044c \u0434\u043e\u043a\u0430\u0437\u0430\u0442\u044c. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\"> <\/p>\n<\/div>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>(\u05d1)<\/strong> \u041d\u0430\u0439\u0434\u0435\u043c \u0434\u043b\u0438\u043d\u0443 \\(AC\\). \u0417\u0430\u043f\u0438\u0448\u0435\u043c \u043e\u0442\u043d\u043e\u0448\u0435\u043d\u0438\u0435 \u0441\u0445\u043e\u0434\u0441\u0442\u0432\u0435\u043d\u043d\u044b\u0445 \u0441\u0442\u043e\u0440\u043e\u043d \u0432 \u043f\u043e\u0434\u043e\u0431\u043d\u044b\u0445 \u0442\u0440\u0435\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a\u0430\u0445 \\(ACE\\) \u0438 \\(AEG\\). (\u0421\u0445\u043e\u0434\u0441\u0442\u0432\u0435\u043d\u043d\u044b\u0435 \u0441\u0442\u043e\u0440\u043e\u043d\u044b \u043b\u0435\u0436\u0430\u0442 \u043f\u0440\u043e\u0442\u0438\u0432 \u0440\u0430\u0432\u043d\u044b\u0445 \u0443\u0433\u043b\u043e\u0432) <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(\\frac{AC}{AE}=\\frac{AE}{AG}\\), \u041e\u0442\u0441\u044e\u0434\u0430 \\(AE^2=AC\\cdot AG\\), \\(AC=\\frac{AE^2}{AG}\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u041f\u043e \u0443\u0441\u043b\u043e\u0432\u0438\u044e \\(AG=6,\\ AE=3\\sqrt{6}\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u041f\u043e\u043b\u0443\u0447\u0438\u043c: <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(AC=\\frac{(3\\sqrt{6})^2}{6}=9\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u041e\u0442\u0432\u0435\u0442: \u0410\u0421=9<\/em><\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-5 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"702\" height=\"634\" data-id=\"361\" src=\"http:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/26-1.png\" alt=\"\" class=\"wp-image-361\" srcset=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/26-1.png 702w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/26-1-300x271.png 300w\" sizes=\"auto, (max-width: 702px) 100vw, 702px\" \/><\/figure>\n<\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"wp-block-paragraph\"><strong>(\u05d2)<\/strong> \u0414\u043e\u043a\u0430\u0436\u0435\u043c, \u0447\u0442\u043e (BC\\| GE\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(\\measuredangle CBE=\\measuredangle BEG \\) &#8212; \u0438\u0437 \u043f.6. \u042d\u0442\u043e \u043d\u0430\u043a\u0440\u0435\u0441\u0442 \u043b\u0435\u0436\u0430\u0449\u0438\u0435 \u0443\u0433\u043b\u044b \u043f\u043e \u043e\u0442\u043d\u043e\u0448\u0435\u043d\u0438\u044e \u043a \u0441\u0435\u043a\u0443\u0449\u0435\u0439 \\(BE\\). \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \\(BC\\| GE\\). \u0423\u0442\u0432\u0435\u0440\u0436\u0434\u0435\u043d\u0438\u0435 \u0434\u043e\u043a\u0430\u0437\u0430\u043d\u043e. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>(\u05d3)<\/strong> \u0420\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0438\u043c \u0442\u0440\u0435\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a\u0438 \\(ABF\\) \u0438 \\(BFE\\)<em>. <\/em>\u042d\u0442\u0438 \u0442\u0440\u0435\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a\u0438 \u0438\u043c\u0435\u044e\u0442 \u043e\u0431\u0449\u0443\u044e \u0432\u044b\u0441\u043e\u0442\u0443 <em>BH,<\/em> \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e \u043e\u0442\u043d\u043e\u0448\u0435\u043d\u0438\u0435 \u043f\u043b\u043e\u0449\u0430\u0434\u0435\u0439 \u044d\u0442\u0438\u0445 \u0442\u0440\u0435\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a\u043e\u0432 \u0440\u0430\u0432\u043d\u043e \u043e\u0442\u043d\u043e\u0448\u0435\u043d\u0438\u044e \u043e\u0441\u043d\u043e\u0432\u0430\u043d\u0438\u0439.&nbsp;\\({AF}\\) \u0438 \\({FE}\\).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(\\frac{S_{ABF}}{S_{BFE}}=2\\) &#8212; \u043f\u043e \u0443\u0441\u043b\u043e\u0432\u0438\u044e, \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \\(\\frac{AF}{FE}=2\\)<span class=\"MathJax_Preview\" style=\"display: none;\"><\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(BC\\| GE\\) \u0438\u0437 <strong>(\u05d2)<\/strong>, \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u043f\u043e \u0442\u0435\u043e\u0440\u0435\u043c\u0435 \u043e \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0438\u043e\u043d\u0430\u043b\u044c\u043d\u044b\u0445 \u043e\u0442\u0440\u0435\u0437\u043a\u0430\u0445 (\u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b\u0435 \u043f\u0440\u044f\u043c\u044b\u0435 \u043e\u0442\u0441\u0435\u043a\u0430\u044e\u0442 \u043d\u0430 \u0441\u0442\u043e\u0440\u043e\u043d\u0430\u0445 \u0443\u0433\u043b\u0430 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0438\u043e\u043d\u0430\u043b\u044c\u043d\u044b\u0435 \u043e\u0442\u0440\u0435\u0437\u043a\u0438) <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(\\frac{AB}{BG}=\\frac{AF}{FE}=2 \\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u041d\u043e \\(AB+BG=AG=6,\\ AB=2BG\\), \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e,  \\(AB=4,\\ BG=2\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u041e\u0442\u0432\u0435\u0442: \\(AB=4\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"wp-block-paragraph\"><strong>(\u05d4)<\/strong> \u041d\u0430\u0439\u0434\u0435\u043c \u0441\u043e\u043e\u0442\u043d\u043e\u0448\u0435\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u043f\u043b\u043e\u0449\u0430\u0434\u044f\u043c\u0438 \u0442\u0440\u0435\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a\u043e\u0432   \\(ABF\\) \u0438 \\(AFC\\). <\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"wp-block-paragraph\">\u0422\u0440\u0435\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a\u0438 \\(AFC\\) \u0438  \\(ABF\\) \u0438\u043c\u0435\u044e\u0442 \u043e\u0431\u0449\u0443\u044e \u0432\u044b\u0441\u043e\u0442\u0443, \u0432\u044b\u0445\u043e\u0434\u044f\u0449\u0443\u044e \u0438\u0437 \u0432\u0435\u0440\u0448\u0438\u043d\u044b \\(A\\), \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u043e\u0442\u043d\u043e\u0448\u0435\u043d\u0438\u0435 \u043f\u043b\u043e\u0449\u0430\u0434\u0435\u0439 \u044d\u0442\u0438\u0445 \u0442\u0440\u0435\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a\u043e\u0432 \u0440\u0430\u0432\u043d\u043e \u043e\u0442\u043d\u043e\u0448\u0435\u043d\u0438\u0435 \u043e\u0441\u043d\u043e\u0432\u0430\u043d\u0438\u0439 \\(FC\\)  \u0438 \\(BF\\).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(\\frac{AF}{FE}=\\frac{2}{1}\\) ( \u0438\u0437 <strong>(\u05d2)<\/strong>), \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \\(AF=2FE\\), \\(AE=AF+FE=3\\sqrt{6}\\), \u043e\u0442\u0441\u044e\u0434\u0430 \\(AF=2\\sqrt{6}, \\ FE=\\sqrt{6}\\) <strong>(2)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u041f\u043e \u0442\u0435\u0440\u0435\u043c\u0435 \u043e\u0431 \u043e\u0442\u0440\u0435\u0437\u043a\u0430\u0445 \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0449\u0438\u0445\u0441\u044f \u0445\u043e\u0440\u0434  \\(AF\\cdot FE=BF\\cdot FC\\) <strong>(3)<\/strong><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-6 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"734\" height=\"636\" data-id=\"377\" src=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/27.png\" alt=\"\" class=\"wp-image-377\" srcset=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/27.png 734w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/27-300x260.png 300w\" sizes=\"auto, (max-width: 734px) 100vw, 734px\" \/><\/figure>\n<\/figure>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\">\u041d\u0430\u0439\u0434\u0435\u043c \u0434\u043b\u0438\u043d\u0443 \u043e\u0442\u0440\u0435\u0437\u043a\u0430 \\(BF\\). \u0422\u0430\u043a \u043a\u0430\u043a \\(BC\\| GE\\) \u0438\u0437 <strong>(\u05d2)<\/strong>, \\(\\Delta AGE \\sim \\Delta ABF\\) \u043f\u043e \u0434\u0432\u0443\u043c \u0443\u0433\u043b\u0430\u043c. \\(\\frac{GE}{BF}=\\frac{AG}{AB}=\\frac{3}{2}\\). <strong>(4)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u041d\u0430\u0439\u0434\u0435\u043c \u0434\u043b\u0438\u043d\u0443 \u043e\u0442\u0440\u0435\u0437\u043a\u0430 \\(GE\\). \\(GE\\) &#8212;  \u043a\u0430\u0441\u0430\u0442\u0435\u043b\u044c\u043d\u0430\u044f, \\(AG\\) &#8212;   \u0441\u0435\u043a\u0443\u0449\u0430\u044f. \u041a\u0432\u0430\u0434\u0440\u0430\u0442 \u043a\u0430\u0441\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0439 \u0440\u0430\u0432\u0435\u043d \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044e \u0441\u0435\u043a\u0443\u0449\u0435\u0439 \u043d\u0430 \u0435\u0435 \u0432\u043d\u0435\u0448\u043d\u044e\u044e \u0447\u0430\u0441\u0442\u044c, \u0442\u043e \u0435\u0441\u0442\u044c \\(GE^2=AG\\cdot BG\\), \\(GE^2=6\\cdot 2=12\\), \\(GE=2\\sqrt{3}\\), \u0422\u043e\u0433\u0434\u0430 \\(BF=\\frac{2}{3}GE=\\frac{4\\sqrt{3}}{3}\\).  (\u0438\u0437 (4))<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u041f\u043e\u0434\u0441\u0442\u0430\u0432\u0438\u043c \u0432 \u0444\u043e\u0440\u043c\u0443\u043b\u0443 (3) \u043d\u0430\u0439\u0434\u0435\u043d\u043d\u044b\u0435 \u0434\u043b\u0438\u043d\u044b \u043e\u0442\u0440\u0435\u0437\u043a\u043e\u0432, \u043f\u043e\u043b\u0443\u0447\u0438\u043c:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(2\\sqrt{6}\\cdot \\sqrt{6}=\\frac{4\\sqrt{3}}{3}\\cdot FC\\). \u041e\u0442\u0441\u044e\u0434\u0430 \\(FC=\\frac{9}{\\sqrt{3}}\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"> \u0422\u043e\u0433\u0434\u0430 \\(\\frac{S_{ABF}}{S_{AFC}}=\\frac{BF}{FC}=\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(=\\frac{\\frac{4\\sqrt{3}}{3}}{\\frac{9}{\\sqrt{3}}}=\\frac{4}{9}\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u041e\u0442\u0432\u0435\u0442<\/em>: \\(\\frac{4}{9}\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"> <\/div>\n\t\t\t<\/div><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0438\u0441\u0442\u043e\u0447\u043d\u0438\u043a<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[7],"tags":[],"class_list":["post-340","post","type-post","status-publish","format-standard","hentry","category-7"],"_links":{"self":[{"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=\/wp\/v2\/posts\/340","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=340"}],"version-history":[{"count":38,"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=\/wp\/v2\/posts\/340\/revisions"}],"predecessor-version":[{"id":1312,"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=\/wp\/v2\/posts\/340\/revisions\/1312"}],"wp:attachment":[{"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=340"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=340"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=340"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}