{"id":637,"date":"2023-12-11T04:04:53","date_gmt":"2023-12-11T04:04:53","guid":{"rendered":"https:\/\/funmath.ru\/?p=637"},"modified":"2023-12-11T04:04:54","modified_gmt":"2023-12-11T04:04:54","slug":"%d0%be%d1%82%d0%b2%d0%b5%d1%82-%d0%ba-%d0%b7%d0%b0%d0%b4%d0%b0%d1%87%d0%b5-%e2%84%9651","status":"publish","type":"post","link":"https:\/\/funmath.ru\/?p=637","title":{"rendered":"\u041e\u0442\u0432\u0435\u0442 \u043a \u0437\u0430\u0434\u0430\u0447\u0435 \u211651"},"content":{"rendered":"\n<p><strong><a href=\"https:\/\/funmath.ru\/?p=635\">\u0418\u0437 \u00ab\u0410\u0440\u0438\u0444\u043c\u0435\u0442\u0438\u043a\u0438\u00bb \u0414\u0438\u043e\u0444\u0430\u043d\u0442\u0430<\/a><\/strong><\/p>\n\n\n<p><!--more--><\/p>\n<p>\u0421 \u0443\u0441\u043b\u043e\u0432\u0438\u044f\u043c\u0438 \u0437\u0430\u0434\u0430\u0447 \u043c\u043e\u0436\u043d\u043e \u043e\u0437\u043d\u0430\u043a\u043e\u043c\u0438\u0442\u044c\u0441\u044f <a href=\"https:\/\/funmath.ru\/?p=635\">\u0437\u0434\u0435\u0441\u044c<\/a>.<\/p>\n<p><strong><em><a href=\"https:\/\/funmath.ru\/?p=635\">\u0417\u0430\u0434\u0430\u0447\u0430 \u211651 (1)<\/a>.<\/em><\/strong><\/p>\n<p>\u0414\u0438\u043e\u0444\u0430\u043d\u0442 \u043f\u0440\u0435\u0434\u043b\u0430\u0433\u0430\u0435\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435 \u0440\u0435\u0448\u0435\u043d\u0438\u0435 \u043f\u043e\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u043d\u043e\u0439 \u0437\u0430\u0434\u0430\u0447\u0438:<br \/>\u041f\u0443\u0441\u0442\u044c \u0441\u0443\u043c\u043c\u0430 \u0432\u0441\u0435\u0445 \u0442\u0440\u0435\u0445 \u0447\u0438\u0441\u0435\u043b \u0440\u0430\u0432\u043d\u0430 <strong><em>(\u0445 + 1)<sup>\u00b2<\/sup><\/em><\/strong>, \u043f\u0440\u0438\u0447\u0435\u043c \u0441\u0443\u043c\u043c\u0430 \u043f\u0435\u0440\u0432\u044b\u0445 \u0434\u0432\u0443\u0445 \u0447\u0438\u0441\u0435\u043b \u0440\u0430\u0432\u043d\u0430 <strong><em>\u0445\u00b2<\/em><\/strong>, \u0442\u043e\u0433\u0434\u0430 \u0442\u0440\u0435\u0442\u044c\u0435 \u0447\u0438\u0441\u043b\u043e <strong><em>(2\u0445 + 1)<\/em><\/strong>.<\/p>\n<p><em>\u041f\u043e\u044f\u0441\u043d\u0435\u043d\u0438\u0435:<\/em> \u0435\u0441\u043b\u0438 \u0441\u0443\u043c\u043c\u0430 \u0432\u0441\u0435\u0445 \u0442\u0440\u0435\u0445 \u0447\u0438\u0441\u0435\u043b \u0440\u0430\u0432\u043d\u0430 <strong><em>\u0445\u00b2<\/em><\/strong>, \u0430 \u0441\u0443\u043c\u043c\u0430 \u0432\u0441\u0435\u0445 \u0442\u0440\u0435\u0445 \u0447\u0438\u0441\u0435\u043b \u0440\u0430\u0432\u043d\u0430 <strong><em>(\u0445 + 1)\u00b2<\/em><\/strong>, \u0442\u043e\u0433\u0434\u0430 \u0442\u0440\u0435\u0442\u044c\u0435 \u0447\u0438\u0441\u043b\u043e<\/p>\n<p><strong><em>(\u0445 + 1)<sup>\u00b2<\/sup> \u2013 \u0445\u00b2 = \u0445\u00b2 + 2\u0445 + 1 \u2013 \u0445\u00b2 = 2\u0445 + 1<\/em><\/strong><\/p>\n<p>\u041f\u0443\u0441\u0442\u044c \u0441\u0443\u043c\u043c\u0430 \u0432\u0442\u043e\u0440\u043e\u0433\u043e \u0438 \u0442\u0440\u0435\u0442\u044c\u0435\u0433\u043e \u0447\u0438\u0441\u043b\u0430 \u0440\u0430\u0432\u043d\u0430 <strong><em>(\u0445 \u2013 1)\u00b2<\/em><\/strong>.<br \/>\u041f\u043e\u043b\u0443\u0447\u0438\u043c, \u0447\u0442\u043e \u043f\u0435\u0440\u0432\u043e\u0435 \u0447\u0438\u0441\u043b\u043e \u0440\u0430\u0432\u043d\u043e <strong><em>4\u0445<\/em><\/strong>, \u0432\u0442\u043e\u0440\u043e\u0435 <strong><em>(\u0445\u00b2 \u2013 4\u0445)<\/em><\/strong>.<\/p>\n<p><em>\u041f\u043e\u044f\u0441\u043d\u0435\u043d\u0438\u0435:<\/em> \u0435\u0441\u043b\u0438 \u0441\u0443\u043c\u043c\u0430 \u0432\u0442\u043e\u0440\u043e\u0433\u043e \u0438 \u0442\u0440\u0435\u0442\u044c\u0435\u0433\u043e \u0447\u0438\u0441\u043b\u0430 \u0440\u0430\u0432\u043d\u0430 <strong><em>(\u0445 \u2013 1)\u00b2<\/em><\/strong>, \u0442\u043e \u0432\u0442\u043e\u0440\u043e\u0435 \u0447\u0438\u0441\u043b\u043e \u0440\u0430\u0432\u043d\u043e<\/p>\n<p><strong><em>(\u0445 \u2013 1)\u00b2 \u2013 (2\u0445 + 1) = \u0445\u00b2 \u2013 2\u0445 + 1 \u2013 2\u0445 \u2013 1 = \u0445\u00b2 \u2013 4\u0445<\/em><\/strong><\/p>\n<p>\u041f\u0435\u0440\u0432\u043e\u0435 \u0447\u0438\u0441\u043b\u043e \u0440\u0430\u0432\u043d\u043e<\/p>\n<p><strong><em>\u0445\u00b2 \u2013 (\u0445\u00b2 \u2013 4\u0445) = 4\u0445<\/em><\/strong><\/p>\n<p>\u0414\u0438\u043e\u0444\u0430\u043d\u0442 \u043f\u0440\u0435\u0434\u043b\u0430\u0433\u0430\u0435\u0442 \u043f\u0440\u0438\u043d\u044f\u0442\u044c <strong><em>\u0445=20<\/em><\/strong>.<br \/>\u0422\u043e\u0433\u0434\u0430<\/p>\n<ul>\n<li>\u043f\u0435\u0440\u0432\u043e\u0435 \u0447\u0438\u0441\u043b\u043e <strong><em>(4\u0445)<\/em><\/strong> \u0440\u0430\u0432\u043d\u043e 80,<\/li>\n<li>\u0432\u0442\u043e\u0440\u043e\u0435 \u0447\u0438\u0441\u043b\u043e <strong><em>(\u0445\u00b2 \u2013 4\u0445) <\/em><\/strong>\u0440\u0430\u0432\u043d\u043e 320,<\/li>\n<li>\u0442\u0440\u0435\u0442\u044c\u0435 \u0447\u0438\u0441\u043b\u043e <strong><em>(2\u0445 + 1) <\/em><\/strong>\u0440\u0430\u0432\u043d\u043e 41.<\/li>\n<\/ul>\n<p><em>\u041f\u043e\u044f\u0441\u043d\u0435\u043d\u0438\u0435: <\/em>\u043c\u0435\u043d\u044f\u044f \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u00ab<strong><em>\u0445\u00bb<\/em><\/strong>, \u0432\u044b, \u043f\u0440\u0438 \u0434\u043e\u043b\u0436\u043d\u043e\u0439 \u043e\u0441\u043c\u043e\u0442\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0441\u0442\u0438, \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u0438\u043d\u044b\u0435 \u0447\u0438\u0441\u043b\u0430, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u0431\u0443\u0434\u0443\u0442 \u043f\u043e\u0434\u0445\u043e\u0434\u0438\u0442\u044c \u043f\u043e\u0434 \u043f\u043e\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u043d\u0443\u044e \u0437\u0430\u0434\u0430\u0447\u0443.<\/p>\n<p>\u00a0<\/p>\n<p><strong><em><a href=\"https:\/\/funmath.ru\/?p=635\">\u0417\u0430\u0434\u0430\u0447\u0430 \u211651 (2)<\/a>.<\/em><\/strong><\/p>\n<p>\u0414\u043b\u044f \u043f\u043e\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u043d\u043e\u0439 \u0437\u0430\u0434\u0430\u0447\u0438 \u0414\u0438\u043e\u0444\u0430\u043d\u0442 \u043f\u0440\u0435\u0434\u043b\u0430\u0433\u0430\u0435\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435 \u0440\u0435\u0448\u0435\u043d\u0438\u0435:<br \/><span style=\"font-size: revert; background-color: var(--wp--preset--color--base); color: var(--wp--preset--color--contrast); font-family: var(--wp--preset--font-family--system-font);\">\u041e\u0431\u043e\u0437\u043d\u0430\u0447\u0438\u043c \u043f\u0435\u0440\u0432\u043e\u0435 \u0447\u0438\u0441\u043b\u043e \u0432 \u0432\u0438\u0434\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044f \u00ab<\/span><strong style=\"font-size: revert; background-color: var(--wp--preset--color--base); color: var(--wp--preset--color--contrast); font-family: var(--wp--preset--font-family--system-font);\"><em>x<\/em><\/strong><span style=\"font-size: revert; background-color: var(--wp--preset--color--base); color: var(--wp--preset--color--contrast); font-family: var(--wp--preset--font-family--system-font);\">\u00bb \u043d\u0430 \u043a\u0443\u0431 \u043d\u0435\u043a\u043e\u0442\u043e\u0440\u043e\u0433\u043e \u0447\u0438\u0441\u043b\u0430. \u0412\u043e\u0437\u044c\u043c\u0435\u043c, \u0434\u043b\u044f \u043f\u0440\u0438\u043c\u0435\u0440\u0430, <\/span><strong style=\"font-size: revert; background-color: var(--wp--preset--color--base); color: var(--wp--preset--color--contrast); font-family: var(--wp--preset--font-family--system-font);\"><em>2<sup>\u00b3<\/sup>= 8<\/em><\/strong><span style=\"font-size: revert; background-color: var(--wp--preset--color--base); color: var(--wp--preset--color--contrast); font-family: var(--wp--preset--font-family--system-font);\">.<br \/><\/span>\u0422\u043e\u0433\u0434\u0430 \u043f\u0435\u0440\u0432\u043e\u0435 \u0447\u0438\u0441\u043b\u043e \u0431\u0443\u0434\u0435\u0442 <strong><em>8x<\/em><\/strong>.<br \/>\u041f\u0443\u0441\u0442\u044c \u0432\u0442\u043e\u0440\u043e\u0435 \u0447\u0438\u0441\u043b\u043e \u0431\u0443\u0434\u0435\u0442 \u0440\u0430\u0432\u043d\u044b\u043c <strong><em>(x\u00b2 \u2013 1)<\/em><\/strong>.<br \/>\u041f\u043e\u043b\u0443\u0447\u0438\u043c \u0432\u044b\u043f\u043e\u043b\u043d\u0435\u043d\u0438\u0435 \u043e\u0434\u043d\u043e\u0433\u043e \u0438\u0437 \u0443\u0441\u043b\u043e\u0432\u0438\u0439 \u0437\u0430\u0434\u0430\u0447\u0438: \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0447\u0438\u0441\u0435\u043b, \u0441\u043b\u043e\u0436\u0435\u043d\u043d\u043e\u0435 \u0441 \u043f\u0435\u0440\u0432\u044b\u043c \u0447\u0438\u0441\u043b\u043e\u043c, \u0440\u0430\u0432\u043d\u044f\u0435\u0442\u0441\u044f \u043a\u0443\u0431\u0443 \u043d\u0435\u043a\u043e\u0442\u043e\u0440\u043e\u0433\u043e \u0447\u0438\u0441\u043b\u0430<\/p>\n<p><strong><em>8\u0445*(x\u00b2 \u2013 1) + 8\u0445 = (8x)<sup>\u00b3<\/sup><\/em><\/strong><em>.<\/em><\/p>\n<p>\u041d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e, \u0447\u0442\u043e\u0431\u044b \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0438\u0441\u043a\u043e\u043c\u044b\u0445 \u0447\u0438\u0441\u0435\u043b, \u0441\u043b\u043e\u0436\u0435\u043d\u043d\u043e\u0435 \u0441\u043e \u0432\u0442\u043e\u0440\u044b\u043c, \u0442\u0430\u043a\u0436\u0435 \u0440\u0430\u0432\u043d\u044f\u043b\u043e\u0441\u044c \u043a\u0443\u0431\u0443 \u043d\u0435\u043a\u043e\u0442\u043e\u0440\u043e\u0433\u043e \u0447\u0438\u0441\u043b\u0430. \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e <strong><em>8\u0445*(x\u00b2 \u2013 1) + (x\u00b2 \u2013 1)<\/em><\/strong> \u0434\u043e\u043b\u0436\u043d\u043e \u0431\u044b\u0442\u044c \u043a\u0443\u0431\u043e\u043c \u043d\u0435\u043a\u043e\u0442\u043e\u0440\u043e\u0433\u043e \u0447\u0438\u0441\u043b\u0430.<\/p>\n<p>\u041f\u0443\u0441\u0442\u044c \u043a\u0443\u0431 \u044d\u0442\u043e\u0433\u043e \u0447\u0438\u0441\u043b\u0430 \u0440\u0430\u0432\u043d\u044f\u0435\u0442\u0441\u044f <strong><em>(2\u0445\u2013 1)\u00b3<br \/><\/em><\/strong>\u0422\u043e\u0433\u0434\u0430<\/p>\n<p><strong><em>8*\u0445*(x\u00b2 \u2013 1) + (x\u00b2 \u2013 1) = (2\u0445 \u2013 1)\u00b3<\/em><\/strong><\/p>\n<p><strong><em>8*\u0445\u00b3 \u2013 8*\u0445 + x\u00b2 \u2013 1 = 8*\u0445\u00b3 \u2013 3*4*x\u00b2 + 3*2*x \u2013 1<\/em><\/strong><\/p>\n<p><strong><em>x\u00b2 <\/em><\/strong><strong><em>\u2013 8*\u0445 + 12*x\u00b2 \u2013 6*x = 0<\/em><\/strong><\/p>\n<p><strong><em>13*x\u00b2 \u2013 14*\u0445 = 0<\/em><\/strong><\/p>\n<p><strong><em>13*x\u00b2 = 14*\u0445<\/em><\/strong><\/p>\n<p><strong><em>\u0445 = 14\/13<\/em><\/strong><\/p>\n<p>\u041f\u0435\u0440\u0432\u043e\u0435 \u0447\u0438\u0441\u043b\u043e: <strong><em>8*14\/13 = 112\/13<\/em><\/strong>.<\/p>\n<p>\u0412\u0442\u043e\u0440\u043e\u0435 \u0447\u0438\u0441\u043b\u043e: <strong><em>(14\/13)<sup>\u00b2<\/sup>\u2013 1= 196\/169 \u2013 1= 27\/169<\/em><\/strong><\/p>","protected":false},"excerpt":{"rendered":"<p>\u0418\u0437 \u00ab\u0410\u0440\u0438\u0444\u043c\u0435\u0442\u0438\u043a\u0438\u00bb \u0414\u0438\u043e\u0444\u0430\u043d\u0442\u0430<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4,15],"tags":[38,8,10],"class_list":["post-637","post","type-post","status-publish","format-standard","hentry","category-answers","category-oldtextbooks_answers","tag-38","tag-8","tag-10"],"_links":{"self":[{"href":"https:\/\/funmath.ru\/index.php?rest_route=\/wp\/v2\/posts\/637","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/funmath.ru\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/funmath.ru\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/funmath.ru\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/funmath.ru\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=637"}],"version-history":[{"count":1,"href":"https:\/\/funmath.ru\/index.php?rest_route=\/wp\/v2\/posts\/637\/revisions"}],"predecessor-version":[{"id":638,"href":"https:\/\/funmath.ru\/index.php?rest_route=\/wp\/v2\/posts\/637\/revisions\/638"}],"wp:attachment":[{"href":"https:\/\/funmath.ru\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=637"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/funmath.ru\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=637"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/funmath.ru\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=637"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}