{"id":684,"date":"2013-12-22T15:29:30","date_gmt":"2013-12-22T07:29:30","guid":{"rendered":"http:\/\/soniuch.net\/?page_id=684"},"modified":"2013-12-22T15:29:30","modified_gmt":"2013-12-22T07:29:30","slug":"%d0%b4%d2%af%d1%80%d1%81%d0%b8%d0%b9%d0%bd-%d1%82%d0%b0%d0%bb%d0%b1%d0%b0%d0%b9-%d0%bf%d0%b5%d1%80%d0%b8%d0%bc%d0%b5%d1%82%d1%80","status":"publish","type":"page","link":"https:\/\/soniuch.net\/?page_id=684","title":{"rendered":"\u0414\u04af\u0440\u0441\u0438\u0439\u043d \u0442\u0430\u043b\u0431\u0430\u0439, \u0445\u04af\u0440\u044d\u044d\u043d\u0438\u0439 \u0443\u0440\u0442, \u044d\u0437\u043b\u044d\u0445\u04af\u04af\u043d"},"content":{"rendered":"<figure id=\"attachment_2228\" aria-describedby=\"caption-attachment-2228\" style=\"width: 149px\" class=\"wp-caption alignleft\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-2228 \" src=\"https:\/\/soniuch.net\/wp-content\/uploads\/2013\/12\/rectangle-300x182.png\" alt=\"\" width=\"149\" height=\"90\" \/><figcaption id=\"caption-attachment-2228\" class=\"wp-caption-text\">\u0422\u044d\u0433\u0448 \u04e9\u043d\u0446\u04e9\u0433\u0442 \u0431\u043e\u043b\u043e\u043d \u0442\u04af\u04af\u043d\u0438\u0439 \u0434\u0438\u0430\u0433\u043e\u043d\u0430\u043b<\/figcaption><\/figure>\n<p><span style=\"color: #3366ff;\"><strong>\u0422\u044d\u0433\u0448<\/strong><strong> \u04e9\u043d\u0446\u04e9\u0433\u0442:<\/strong><\/span><\/p>\n<p>\u0422\u0430\u043b\u0443\u0443\u0434 \u043d\u044c $a, b$ \u0431\u0430\u0439\u0445 \u0442\u044d\u0433\u0448 \u04e9\u043d\u0446\u04e9\u0433\u0442\u0438\u0439\u043d \u0442\u0430\u043b\u0431\u0430\u0439 \u043d\u044c: $$S=a \\cdot b$$<\/p>\n<p>\u041f\u0435\u0440\u0438\u043c\u0435\u0442\u0440 \u0431\u0443\u044e\u0443 \u0445\u04af\u0440\u044d\u044d\u043d\u0438\u0439 \u0443\u0440\u0442 \u043d\u044c:\u00a0 $$P = 2 \\cdot (a+b)$$<\/p>\n<p>\u0414\u0438\u0430\u0433\u043e\u043d\u0430\u043b\u0438\u0439\u043d \u0443\u0440\u0442 \u043d\u044c \u041f\u0438\u0444\u0430\u0433\u043e\u0440\u044b\u043d \u0442\u0435\u043e\u0440\u0435\u043c \u0451\u0441\u043e\u043e\u0440: $$d = \\sqrt{(a^2 + b^2)}$$<\/p>\n<p><span style=\"color: #3366ff;\">\u00a0<strong>\u0422\u043e\u0439\u0440\u043e\u0433:<\/strong><\/span><\/p>\n<figure id=\"attachment_2230\" aria-describedby=\"caption-attachment-2230\" style=\"width: 136px\" class=\"wp-caption alignleft\"><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-2230\" src=\"https:\/\/soniuch.net\/wp-content\/uploads\/2013\/12\/circle-300x255.png\" alt=\"\" width=\"136\" height=\"116\" \/><figcaption id=\"caption-attachment-2230\" class=\"wp-caption-text\">(C) soniuch.net<\/figcaption><\/figure>\n<p>$R$ \u0440\u0430\u0434\u0438\u0443\u0441\u0442\u0430\u0439 \u0442\u043e\u0439\u0440\u0433\u0438\u0439\u043d \u0443\u0440\u0442 \u043d\u044c: $$l=2 \\pi R$$<\/p>\n<p>\u0422\u0430\u043b\u0431\u0430\u0439 \u043d\u044c: $$S = \\pi R^2$$<\/p>\n<p>\u0422\u043e\u0439\u0440\u0433\u0438\u0439\u043d \u0434\u0438\u0430\u043c\u0435\u0442\u0440 \u043d\u044c: $$D = 2R$$<\/p>\n<p>\u0422\u043e\u0439\u0440\u0433\u0438\u0439\u043d \u0443\u0440\u0442 \u0431\u0430 \u0434\u0438\u0430\u043c\u0435\u0442\u0440\u0438\u0439\u043d \u0445\u0430\u0440\u044c\u0446\u0430\u0430 \u043d\u044c: $$\\pi = \\frac{l}{D}$$<\/p>\n<p>\u041a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b\u043d \u044d\u0445 \u0434\u044d\u044d\u0440 \u0442\u04e9\u0432\u0442\u044d\u0439 \u0442\u043e\u0439\u0440\u0433\u0438\u0439\u043d \u0442\u044d\u0433\u0448\u0438\u0442\u0433\u044d\u043b \u043d\u044c: $$x^2 + y^2 = R^2$$<\/p>\n<p><span style=\"color: #3366ff;\"><strong>\u042d\u043b\u043b\u0438\u043f\u0441:<\/strong><\/span><\/p>\n<figure id=\"attachment_2232\" aria-describedby=\"caption-attachment-2232\" style=\"width: 166px\" class=\"wp-caption alignleft\"><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-2232\" src=\"https:\/\/soniuch.net\/wp-content\/uploads\/2013\/12\/ellipse-300x195.png\" alt=\"\" width=\"166\" height=\"108\" \/><figcaption id=\"caption-attachment-2232\" class=\"wp-caption-text\">(C) 2018, soniuch.net<\/figcaption><\/figure>\n<p>\u042d\u043b\u043b\u0438\u043f\u0441\u0438\u0439\u043d \u0438\u0445 \u0431\u0430 \u0431\u0430\u0433\u0430 \u0442\u044d\u043d\u0445\u043b\u044d\u0433 \u043d\u044c \u0445\u0430\u0440\u0433\u0430\u043b\u0437\u0430\u043d $a, b$ \u0431\u043e\u043b \u044d\u043b\u043b\u0438\u043f\u0441\u0438\u0439\u043d \u0442\u0430\u043b\u0431\u0430\u0439 \u043d\u044c: $$S=\\pi a b$$<\/p>\n<p>\u041a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b\u043d \u044d\u0445 \u0434\u044d\u044d\u0440 \u0442\u04e9\u0432\u0442\u044d\u0439 \u044d\u043b\u043b\u0438\u043f\u0441\u0438\u0439\u043d \u0442\u044d\u0433\u0448\u0438\u0442\u0433\u044d\u043b \u043d\u044c: $$\\frac{x^2}{a^2} + \\frac{y^2}{b^2}=1$$<\/p>\n<p>\u042d\u043b\u043b\u0438\u043f\u0441\u0438\u0439\u043d \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0442 \u0442\u044d\u0433\u0448\u0438\u0442\u0433\u044d\u043b: $$x = a \\cdot \\cos t$$ $$y = b \\cdot \\sin t$$<\/p>\n<p>\u042d\u043b\u043b\u0438\u043f\u0441\u0438\u0439\u043d \u043f\u0435\u0440\u0438\u043c\u0435\u0442\u0440:<\/p>\n<p>$$p = 2a \\pi \\big(1 &#8211; \\sum_{i=1}^\\infty \\frac{((2i)!)^2}{(2^i i!)^4} \\cdot \\frac{\\varepsilon^{2i}}{2i-1} \\big) $$<\/p>\n<p>\u042d\u043d\u0434 $$\\varepsilon = \\sqrt{\\frac{a^2 &#8211; b^2}{a}}$$<\/p>\n<p><span style=\"color: #3366ff;\"><strong>\u0413\u0443\u0440\u0432\u0430\u043b\u0436\u0438\u043d:\u00a0<\/strong><\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-2237 alignleft\" src=\"https:\/\/soniuch.net\/wp-content\/uploads\/2013\/12\/triangle-300x236.png\" alt=\"\" width=\"300\" height=\"236\" \/>\u0413\u0443\u0440\u0432\u0430\u043b\u0436\u043d\u044b \u0433\u0443\u0440\u0432\u0430\u043d \u04e9\u043d\u0446\u0433\u0438\u0439\u0433 $\\alpha$, $\\beta$,\u00a0 $\\gamma$ \u0433\u044d\u0432\u044d\u043b: $$\\alpha + \\beta + \\gamma = \\pi = 180^\\circ$$<\/p>\n<p>\u0413\u0443\u0440\u0432\u0430\u043b\u0436\u043d\u044b \u0433\u0443\u0440\u0432\u0430\u043d \u0442\u0430\u043b\u044b\u0433 \u0445\u0430\u0440\u0433\u0430\u043b\u0437\u0430\u043d $a$, $b$, $c$ \u0433\u044d\u0435. \u0413\u0443\u0440\u0432\u0430\u043b\u0436\u043d\u044b \u0430\u043b\u044c \u0447 \u0445\u043e\u0451\u0440 \u0442\u0430\u043b\u044b\u043d\u0445 \u043d\u044c \u043d\u0438\u0439\u043b\u0431\u044d\u0440 \u043d\u04e9\u0433\u04e9\u04e9 \u0442\u0430\u043b\u044b\u043d \u0443\u0440\u0442\u0430\u0430\u0441\u0430\u0430 \u0438\u0445 \u0431\u0430\u0439\u0434\u0430\u0433: $$a&lt;b+c$$ $$b&lt;a+c$$ $$c&lt;a+b$$<\/p>\n<p>\u0413\u0443\u0440\u0432\u0430\u043b\u0436\u043d\u044b \u043f\u0435\u0440\u0438\u043c\u0435\u0442\u0440 \u043d\u044c: $$P = a + b + c$$<\/p>\n<figure id=\"attachment_1834\" aria-describedby=\"caption-attachment-1834\" style=\"width: 300px\" class=\"wp-caption alignleft\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-1834\" src=\"http:\/\/soniuch.net\/wp-content\/uploads\/2013\/12\/triangle-300x190.png\" alt=\"\" width=\"300\" height=\"190\" \/><figcaption id=\"caption-attachment-1834\" class=\"wp-caption-text\">\u0413\u0443\u0440\u0432\u0430\u043b\u0436\u0438\u043d, \u0442\u04af\u04af\u043d\u0438\u0439 b \u0442\u0430\u043b\u0434 \u0431\u0443\u0443\u043b\u0433\u0430\u0441\u0430\u043d \u04e9\u043d\u0434\u04e9\u0440<\/figcaption><\/figure>\n<p>\u0413\u0443\u0440\u0432\u0430\u043b\u0436\u043d\u044b \u0430\u043b\u044c \u043d\u044d\u0433 \u0442\u0430\u043b\u0434, \u0442\u0443\u0445\u0430\u0439\u043b\u0431\u0430\u043b $b$ \u0442\u0430\u043b\u0434 \u0431\u0443\u0443\u043b\u0433\u0430\u0441\u0430\u043d \u04e9\u043d\u0434\u0440\u0438\u0439\u0433 $h$ \u0433\u044d\u0435. \u0422\u044d\u0433\u0432\u044d\u043b \u0442\u0430\u043b\u0431\u0430\u0439 \u043d\u044c: $$S = \\frac{1}{2}b \\cdot h$$<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"color: #3366ff;\"><strong>\u0411\u04e9\u043c\u0431\u04e9\u0440\u0446\u04e9\u0433:<\/strong><\/span><\/p>\n<p>\u0411\u04e9\u043c\u0431\u04e9\u0440\u0446\u0433\u0438\u0439\u043d \u044d\u0437\u043b\u044d\u0445\u04af\u04af\u043d: $$V=\\frac{4}{3} \\pi r^3$$<\/p>\n<p>\u0411\u04e9\u043c\u0431\u04e9\u043b\u04e9\u0433 \u0431\u043e\u043b\u043e\u043d \u0431\u04e9\u043c\u0431\u04e9\u0440\u0446\u0433\u0438\u0439\u043d \u0433\u0430\u0434\u0430\u0440\u0433\u0443\u0443\u0433\u0438\u0439\u043d \u0442\u0430\u043b\u0431\u0430\u0439:<br \/>\n$$S=4 \\pi r^2$$<\/p>\n<p><span style=\"color: #3366ff;\"><strong>\u041a\u043e\u043d\u0443\u0441\u044b\u043d \u044d\u0437\u043b\u044d\u0445\u04af\u04af\u043d<\/strong><\/span><\/p>\n<p>\u041a\u043e\u043d\u0443\u0441\u044b\u043d \u04e9\u043d\u0434\u04e9\u0440 $h$, \u0441\u0443\u0443\u0440\u0438\u0439\u043d \u0440\u0430\u0434\u0438\u0443\u0441 $r$ \u043c\u044d\u0434\u044d\u0433\u0434\u044d\u0436 \u0431\u0430\u0439\u0432\u0430\u043b \u044d\u0437\u043b\u044d\u0445\u04af\u04af\u043d \u043d\u044c: $$V=\\frac{1}{3} \\pi h r^2$$<\/p>\n<p><span style=\"color: #3366ff;\"><strong>\u041a\u043e\u043d\u0443\u0441\u044b\u043d \u0433\u0430\u0434\u0430\u0440\u0433\u0443\u0443\u0433\u0438\u0439\u043d \u0442\u0430\u043b\u0431\u0430\u0439<\/strong><\/span><\/p>\n<p>\u041a\u043e\u043d\u0443\u0441\u044b\u043d \u043d\u0430\u043b\u0443\u0443 $a$, \u0441\u0443\u0443\u0440\u0438\u0439\u043d \u0440\u0430\u0434\u0438\u0443\u0441 $r$ \u043c\u044d\u0434\u044d\u0433\u0434\u044d\u0436 \u0431\u0430\u0439\u0432\u0430\u043b \u0433\u0430\u0434\u0430\u0440\u0433\u0443\u0443\u0433\u0438\u0439\u043d \u0442\u0430\u043b\u0431\u0430\u0439 \u043d\u044c: $$s = \\pi r a + \\pi r^2$$<\/p>\n<p><span style=\"color: #3366ff;\"><strong>\u0426\u0438\u043b\u0438\u043d\u0434\u0440\u0438\u0439\u043d \u044d\u0437\u043b\u044d\u0445\u04af\u04af\u043d<\/strong><\/span><\/p>\n<p>\u0426\u0438\u043b\u0438\u043d\u0434\u0440\u0438\u0439\u043d \u04e9\u043d\u0434\u04e9\u0440 $h$, \u0446\u0438\u043b\u0438\u043d\u0434\u0440\u0438\u0439\u043d \u0441\u0443\u0443\u0440\u0438\u0439\u043d \u0440\u0430\u0434\u0438\u0443\u0441 $r$ \u043c\u044d\u0434\u044d\u0433\u0434\u044d\u0436 \u0431\u0430\u0439\u0432\u0430\u043b \u044d\u0437\u043b\u044d\u0445\u04af\u04af\u043d \u043d\u044c<\/p>\n<p>$$V = h \\cdot S = h \\cdot \\pi \\cdot r^2$$<\/p>\n<p>\u0431\u043e\u043b\u043d\u043e. \u042d\u043d\u0434 $S = \\pi r^2$ \u043d\u044c \u0446\u0438\u043b\u0438\u043d\u0434\u0440\u0438\u0439\u043d \u0441\u0443\u0443\u0440\u0438\u0439\u043d \u0442\u0430\u043b\u0431\u0430\u0439 \u044e\u043c.<\/p>\n<p><span style=\"color: #3366ff;\"><strong>\u0426\u0438\u043b\u0438\u043d\u0434\u0440\u0438\u0439\u043d \u0433\u0430\u0434\u0430\u0440\u0433\u0443\u0443\u0433\u0438\u0439\u043d \u0442\u0430\u043b\u0431\u0430\u0439<\/strong><\/span><\/p>\n<p>\u0426\u0438\u043b\u0438\u043d\u0434\u0440\u0438\u0439\u043d \u04e9\u043d\u0434\u04e9\u0440 $h$, \u0446\u0438\u043b\u0438\u043d\u0434\u0440\u0438\u0439\u043d \u0441\u0443\u0443\u0440\u0438\u0439\u043d \u0440\u0430\u0434\u0438\u0443\u0441 $r$ \u043c\u044d\u0434\u044d\u0433\u0434\u044d\u0436 \u0431\u0430\u0439\u0432\u0430\u043b \u0433\u0430\u0434\u0430\u0440\u0433\u0443\u0443\u0433\u0438\u0439\u043d \u0442\u0430\u043b\u0431\u0430\u0439 \u043d\u044c<\/p>\n<p>$$S = S_{\u0445\u0430\u043d\u0430} + 2 \\cdot S_{\u0441\u0443\u0443\u0440\u044c}\u00a0 = 2 \\pi r \\cdot h + 2 \\cdot \\pi r^2 = 2 \\pi r (\u00a0 h +\u00a0 r)$$<\/p>\n<p><span style=\"color: #3366ff;\"><strong>\u041f\u0438\u0440\u0430\u043c\u0438\u0434\u0438\u0439\u043d \u044d\u0437\u043b\u044d\u0445\u04af\u04af\u043d<\/strong><\/span><\/p>\n<p>\u041f\u0438\u0440\u0430\u043c\u0438\u0434\u044b\u043d \u0441\u0443\u0443\u0440\u0438\u0439\u043d \u0442\u0430\u043b\u0431\u0430\u0439 $b$, \u04e9\u043d\u0434\u04e9\u0440 \u0431\u0443\u044e\u0443 \u0430\u043f\u0435\u043a\u0441 $h$ \u043c\u044d\u0434\u044d\u0433\u0434\u044d\u0436 \u0431\u0430\u0439\u0432\u0430\u043b \u044d\u0437\u043b\u044d\u0445\u04af\u04af\u043d \u043d\u044c (\u0441\u0443\u0443\u0440\u044c \u043d\u044c \u0445\u044d\u0434\u044d\u043d \u0442\u0430\u043b\u0442\u0430\u0439 \u0431\u0430\u0439\u0445\u0430\u0430\u0441 \u04af\u043b \u0445\u0430\u043c\u0430\u0430\u0440\u0430\u043d):<\/p>\n<p>$$V = \\frac{1}{3} b \\cdot h$$<\/p>\n<p>\u0431\u0430\u0439\u043d\u0430.<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0422\u044d\u0433\u0448 \u04e9\u043d\u0446\u04e9\u0433\u0442: \u0422\u0430\u043b\u0443\u0443\u0434 \u043d\u044c $a, b$ \u0431\u0430\u0439\u0445 \u0442\u044d\u0433\u0448 \u04e9\u043d\u0446\u04e9\u0433\u0442\u0438\u0439\u043d \u0442\u0430\u043b\u0431\u0430\u0439 \u043d\u044c: $$S=a \\cdot b$$ \u041f\u0435\u0440\u0438\u043c\u0435\u0442\u0440 \u0431\u0443\u044e\u0443 \u0445\u04af\u0440\u044d\u044d\u043d\u0438\u0439 \u0443\u0440\u0442 \u043d\u044c:\u00a0 $$P = 2 \\cdot (a+b)$$ \u0414\u0438\u0430\u0433\u043e\u043d\u0430\u043b\u0438\u0439\u043d \u0443\u0440\u0442 \u043d\u044c \u041f\u0438\u0444\u0430\u0433\u043e\u0440\u044b\u043d \u0442\u0435\u043e\u0440\u0435\u043c \u0451\u0441\u043e\u043e\u0440: $$d = \\sqrt{(a^2 + b^2)}$$ \u00a0\u0422\u043e\u0439\u0440\u043e\u0433: $R$ \u0440\u0430\u0434\u0438\u0443\u0441\u0442\u0430\u0439 \u0442\u043e\u0439\u0440\u0433\u0438\u0439\u043d \u0443\u0440\u0442 \u043d\u044c: $$l=2 \\pi R$$ \u0422\u0430\u043b\u0431\u0430\u0439 \u043d\u044c: $$S = \\pi R^2$$ \u0422\u043e\u0439\u0440\u0433\u0438\u0439\u043d \u0434\u0438\u0430\u043c\u0435\u0442\u0440 \u043d\u044c: $$D =&#8230; <a class=\"read-more\" href=\"https:\/\/soniuch.net\/?page_id=684\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":713,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-684","page","type-page","status-publish","hentry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/soniuch.net\/index.php?rest_route=\/wp\/v2\/pages\/684","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/soniuch.net\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/soniuch.net\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/soniuch.net\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/soniuch.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=684"}],"version-history":[{"count":0,"href":"https:\/\/soniuch.net\/index.php?rest_route=\/wp\/v2\/pages\/684\/revisions"}],"up":[{"embeddable":true,"href":"https:\/\/soniuch.net\/index.php?rest_route=\/wp\/v2\/pages\/713"}],"wp:attachment":[{"href":"https:\/\/soniuch.net\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=684"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}