{"id":2406,"date":"2025-01-28T01:59:08","date_gmt":"2025-01-27T22:59:08","guid":{"rendered":"https:\/\/currconv.ru\/blog\/8818-2\/"},"modified":"2025-01-28T01:59:08","modified_gmt":"2025-01-27T22:59:08","slug":"8818","status":"publish","type":"post","link":"https:\/\/currconv.ru\/blog\/8818\/","title":{"rendered":"\u041f\u0440\u0438\u043c\u0435\u0440 \u211613 \u0438\u0437 \u0437\u0430\u0434\u0430\u043d\u0438\u044f 16"},"content":{"rendered":"<div class=\"fpm_start\"><\/div>\n<p>\u0427\u0435\u0442\u044b\u0440\u0435\u0445\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a ABCD \u0432\u043f\u0438\u0441\u0430\u043d \u0432 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u044c. \u041f\u0440\u044f\u043c\u044b\u0435 AB \u0438 CD \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0442\u0441\u044f \u0432 \u0442\u043e\u0447\u043a\u0435 K, BK=8, DK=24, BC=18. \u041d\u0430\u0439\u0434\u0438\u0442\u0435 AD.<\/p>\n<figure class=\"wp-block-image size-full\"><img fetchpriority=\"high\" decoding=\"async\" width=\"273\" height=\"208\" src=\"https:\/\/currconv.ru\/blog\/wp-content\/uploads\/2023\/12\/image-32.png\" alt=\"\" class=\"wp-image-8819\"\/><\/figure>\n<p><span id=\"more-8818\"><\/span><\/p>\n<hr class=\"wp-block-separator has-css-opacity\"\/>\n<h2 class=\"wp-block-heading has-text-align-center has-medium-font-size\"><strong>\u0420\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/h2>\n<p>\u0422\u0440\u0435\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a\u0438 <span class=\"katex-eq\" data-katex-display=\"false\">KAD<\/span> \u0438 <span class=\"katex-eq\" data-katex-display=\"false\">KBC<\/span> \u043f\u043e\u0434\u043e\u0431\u043d\u044b \u043f\u043e \u043f\u0435\u0440\u0432\u043e\u043c\u0443 \u043f\u0440\u0438\u0437\u043d\u0430\u043a\u0443 \u043f\u043e\u0434\u043e\u0431\u0438\u044f (\u0434\u0432\u0430 \u0443\u0433\u043b\u0430 \u043e\u0434\u043d\u043e\u0433\u043e \u0442\u0440\u0435\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a\u0430 \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0435\u043d\u043d\u043e \u0440\u0430\u0432\u043d\u044b \u0434\u0432\u0443\u043c \u0443\u0433\u043b\u0430\u043c \u0434\u0440\u0443\u0433\u043e\u0433\u043e \u0442\u0440\u0435\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a\u0430):<\/p>\n<p><strong>\u041f\u0435\u0440\u0432\u043e\u0435:<\/strong> <span class=\"katex-eq\" data-katex-display=\"false\">\\angle K<\/span> &#8211; \u043e\u0431\u0449\u0438\u0439 \u0434\u043b\u044f \u0434\u0430\u043d\u043d\u044b\u0445 \u0442\u0440\u0435\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a\u043e\u0432.<\/p>\n<p><strong>\u0412\u0442\u043e\u0440\u043e\u0435:<\/strong> <\/p>\n<p>\u0421\u0443\u043c\u043c\u0430 \u043f\u0440\u043e\u0442\u0438\u0432\u043e\u043f\u043e\u043b\u043e\u0436\u043d\u044b\u0445 \u0443\u0433\u043b\u043e\u0432 \u0432\u043f\u0438\u0441\u0430\u043d\u043d\u043e\u0433\u043e \u0447\u0435\u0442\u044b\u0440\u0435\u0445\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a\u0430 <span class=\"katex-eq\" data-katex-display=\"false\">ABCD<\/span> \u0440\u0430\u0432\u043d\u0430 <span class=\"katex-eq\" data-katex-display=\"false\">180^{\\circ}<\/span>:<\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">\\angle ABC+\\angle ADC=180^{\\circ};<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">\\angle ABC=180^{\\circ}-\\angle ADC.<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">\\angle ADK<\/span> \u0438 <span class=\"katex-eq\" data-katex-display=\"false\">\\angle ADC<\/span> &#8211; \u0441\u043c\u0435\u0436\u043d\u044b\u0435 (\u0434\u0432\u0430 \u0443\u0433\u043b\u0430, \u0443 \u043a\u043e\u0442\u043e\u0440\u044b\u0445 \u043e\u0434\u043d\u0430 \u0441\u0442\u043e\u0440\u043e\u043d\u0430 \u043e\u0431\u0449\u0430\u044f, \u0430 \u0434\u0432\u0435 \u0434\u0440\u0443\u0433\u0438\u0435 \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u043f\u0440\u043e\u0434\u043e\u043b\u0436\u0435\u043d\u0438\u0435\u043c \u043e\u0434\u043d\u0430 \u0434\u0440\u0443\u0433\u043e\u0439). \u0410 \u0443 \u0441\u043c\u0435\u0436\u043d\u044b\u0445 \u0443\u0433\u043b\u043e\u0432 \u0441\u0443\u043c\u043c\u0430 \u0440\u0430\u0432\u043d\u0430 <span class=\"katex-eq\" data-katex-display=\"false\">180^{\\circ}<\/span>. \u0417\u043d\u0430\u0447\u0438\u0442:<\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">\\angle ADK+ \\angle ADC=180^{\\circ};<\/span><\/p>\n<p><script data-noptimize=\"\" data-wpfc-render=\"false\">\nfpm_start( \"true\" );\n<\/script><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">\\angle ADK=180^{\\circ}-\\angle ADC.<\/span><\/p>\n<p>\u041f\u043e\u043b\u0443\u0447\u0438\u043b\u043e\u0441\u044c, \u0447\u0442\u043e <span class=\"katex-eq\" data-katex-display=\"false\">\\angle ADK=\\angle ABC.<\/span><\/p>\n<p>\u0412 \u0438\u0442\u043e\u0433\u0435 \u043f\u043e\u043b\u0443\u0447\u0430\u0435\u043c, \u0447\u0442\u043e <span class=\"katex-eq\" data-katex-display=\"false\">\\angle K<\/span> &#8211; \u043e\u0431\u0449\u0438\u0439 \u0438 <span class=\"katex-eq\" data-katex-display=\"false\">\\angle ADK=\\angle ABC.<\/span> <\/p>\n<p>\u041e\u0434\u043d\u043e \u0438\u0437 \u0441\u0432\u043e\u0439\u0441\u0442\u0432 \u043f\u043e\u0434\u043e\u0431\u043d\u044b\u0445 \u0442\u0440\u0435\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a\u043e\u0432 \u0433\u043b\u0430\u0441\u0438\u0442: \u0443 \u043f\u043e\u0434\u043e\u0431\u043d\u044b\u0445 \u0442\u0440\u0435\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a\u043e\u0432 \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0449\u0438\u0435 \u0441\u0442\u043e\u0440\u043e\u043d\u044b \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0438\u043e\u043d\u0430\u043b\u044c\u043d\u044b:<\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\frac{KD}{KB}=\\frac{AD}{BC};<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\frac{24}{8}=\\frac{AD}{18};<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">8AD=24 \\cdot 18;<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">AD=3 \\cdot 18;<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">AD=54.<\/span><\/p>\n<p><strong>\u041e\u0442\u0432\u0435\u0442:<\/strong>&nbsp;<span class=\"katex-eq\" data-katex-display=\"false\">54<\/span>.<span class=\"MathJax_Preview\" style=\"display: none;\"><\/span><span class=\"MathJax\" id=\"MathJax-Element-4-Frame\" tabindex=\"0\" style=\"\"><nobr><span class=\"math\" id=\"MathJax-Span-15\" style=\"width: 1.2em; display: inline-block;\"><span style=\"display: inline-block; position: relative; width: 1.008em; height: 0px; font-size: 116%;\"><span style=\"position: absolute; clip: rect(1.535em, 1000.96em, 2.493em, -999.998em); top: -2.344em; left: 0em;\"><span style=\"display: inline-block; width: 0px; height: 2.349em;\"><\/span><\/span><\/span><span style=\"display: inline-block; overflow: hidden; vertical-align: -0.053em; border-left: 0px solid; width: 0px; height: 0.892em;\"><\/span><\/span><\/nobr><\/span><\/p>\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n<p><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong>\u0418\u0441\u0442\u043e\u0447\u043d\u0438\u043a:<\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong> \u041e\u0413\u042d-2025. \u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430. \u0422\u0438\u043f\u043e\u0432\u044b\u0435 \u044d\u043a\u0437\u0430\u043c\u0435\u043d\u0430\u0446\u0438\u043e\u043d\u043d\u044b\u0435 \u0432\u0430\u0440\u0438\u0430\u043d\u0442\u044b. 36 \u0432\u0430\u0440\u0438\u0430\u043d\u0442\u043e\u0432. \u042f\u0449\u0435\u043d\u043a\u043e \u0418. \u0412. (\u0432\u0430\u0440\u0438\u0430\u043d\u0442 22) <\/p>\n<p>\u041e\u0413\u042d-2024. \u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430. \u0422\u0438\u043f\u043e\u0432\u044b\u0435 \u044d\u043a\u0437\u0430\u043c\u0435\u043d\u0430\u0446\u0438\u043e\u043d\u043d\u044b\u0435 \u0432\u0430\u0440\u0438\u0430\u043d\u0442\u044b. 36 \u0432\u0430\u0440\u0438\u0430\u043d\u0442\u043e\u0432 (\u0432\u0430\u0440\u0438\u0430\u043d\u0442 12) <\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0427\u0435\u0442\u044b\u0440\u0435\u0445\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a ABCD \u0432\u043f\u0438\u0441\u0430\u043d \u0432 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u044c. \u041f\u0440\u044f\u043c\u044b\u0435 AB \u0438 CD \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0442\u0441\u044f \u0432 \u0442\u043e\u0447\u043a\u0435 K, BK=8, DK=24, BC=18. \u041d\u0430\u0439\u0434\u0438\u0442\u0435 AD. \u0420\u0435\u0448\u0435\u043d\u0438\u0435 \u0422\u0440\u0435\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a\u0438 KAD \u0438 KBC \u043f\u043e\u0434\u043e\u0431\u043d\u044b \u043f\u043e \u043f\u0435\u0440\u0432\u043e\u043c\u0443 \u043f\u0440\u0438\u0437\u043d\u0430\u043a\u0443 \u043f\u043e\u0434\u043e\u0431\u0438\u044f (\u0434\u0432\u0430 \u0443\u0433\u043b\u0430 \u043e\u0434\u043d\u043e\u0433\u043e \u0442\u0440\u0435\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a\u0430 \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0435\u043d\u043d\u043e \u0440\u0430\u0432\u043d\u044b \u0434\u0432\u0443\u043c \u0443\u0433\u043b\u0430\u043c \u0434\u0440\u0443\u0433\u043e\u0433\u043e \u0442\u0440\u0435\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a\u0430): \u041f\u0435\u0440\u0432\u043e\u0435: \\angle K &#8211; \u043e\u0431\u0449\u0438\u0439 \u0434\u043b\u044f \u0434\u0430\u043d\u043d\u044b\u0445 \u0442\u0440\u0435\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a\u043e\u0432. \u0412\u0442\u043e\u0440\u043e\u0435: \u0421\u0443\u043c\u043c\u0430 \u043f\u0440\u043e\u0442\u0438\u0432\u043e\u043f\u043e\u043b\u043e\u0436\u043d\u044b\u0445 \u0443\u0433\u043b\u043e\u0432 \u0432\u043f\u0438\u0441\u0430\u043d\u043d\u043e\u0433\u043e \u0447\u0435\u0442\u044b\u0440\u0435\u0445\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a\u0430 ABCD \u0440\u0430\u0432\u043d\u0430 180^{\\circ}: [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[51],"tags":[],"class_list":["post-2406","post","type-post","status-publish","format-standard","hentry","category-zadanie-16"],"_links":{"self":[{"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/posts\/2406","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/comments?post=2406"}],"version-history":[{"count":0,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/posts\/2406\/revisions"}],"wp:attachment":[{"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/media?parent=2406"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/categories?post=2406"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/tags?post=2406"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}