{"id":21,"date":"2011-11-25T21:24:27","date_gmt":"2011-11-25T12:24:27","guid":{"rendered":"http:\/\/roundown.main.jp\/nyushi\/?p=21"},"modified":"2021-03-23T17:59:02","modified_gmt":"2021-03-23T08:59:02","slug":"kyr201103","status":"publish","type":"post","link":"https:\/\/www.roundown.net\/nyushi\/kyr201103\/","title":{"rendered":"\u4eac\u5927\u7406\u7cfb2011\uff1a\u7b2c3\u554f"},"content":{"rendered":"<hr \/>\n<p>\\(xy\\) \u5e73\u9762\u4e0a\u3067, \\(y=x\\) \u306e\u30b0\u30e9\u30d5\u3068 \\(y =\\left| \\dfrac{3}{4} x^2 -3 \\right| -2\\) \u306e\u30b0\u30e9\u30d5\u306b\u3088\u3063\u3066\u56f2\u307e\u308c\u308b\u56f3\u5f62\u306e\u9762\u7a4d\u3092\u6c42\u3081\u3088.<\/p>\r\n<hr>\r\n<!--more-->\r\n<h4>\u3010 \u89e3 \u7b54 \u3011<\/h4>\r\n<p>\u307e\u305a \\(2\\) \u3064\u306e\u30b0\u30e9\u30d5\u306e\u4ea4\u70b9\u306e \\(x\\) \u5ea7\u6a19\u3092\u6c42\u3081\u308b.<\/p>\r\n<ol>\r\n<li><p><strong>1*<\/strong>\u3000\\(-2 \\leqq x \\leqq 2\\) \u306e\u3068\u304d<br \/>\r\n\\(y=x\\) , \\(y =1 -\\dfrac{3}{4} x^2\\) \u3088\u308a\r\n\\[\\begin{align}\r\nx = 1 -\\dfrac{3}{4} & x^2 \\\\\r\n3x^2 +4x -4 & = 0 \\\\\r\n( 3x-2 )( x+2 ) & = 0 \\\\\r\n\\text{\u2234} \\quad x = \\dfrac{2}{3} , & -2\r\n\\end{align}\\]<\/li>\r\n<li><p><strong>2*<\/strong>\u3000\\(x \\lt -2 , 2 \\lt x\\) \u306e\u3068\u304d<br \/>\r\n\\(y=x\\) , \\(y =\\dfrac{3}{4} x^2 -5\\) \u3088\u308a\r\n\\[\\begin{align}\r\nx = \\dfrac{3}{4} x^2 & -5 \\\\\r\n3x^2 -4x -20 & = 0 \\\\\r\n( 3x-10 )( x+2 ) & = 0 \\\\\r\n\\text{\u2234} \\quad x = \\dfrac{10}{3} &\r\n\\end{align}\\]<\/li>\r\n<\/ol>\r\n<p><strong>1*<\/strong> <strong>2*<\/strong>\u3088\u308a, \\(2\\) \u3064\u306e\u30b0\u30e9\u30d5\u306b\u56f2\u307e\u308c\u308b\u90e8\u5206\u306f\u4e0b\u56f3\u659c\u7dda\u90e8\u306e\u3088\u3046\u306b\u306a\u308b.<\/p>\r\n<img decoding=\"async\" src=\"\/\/www.roundown.net\/nyushi\/wp-content\/uploads\/kyodai_2011_03_01.png\" alt=\"\" title=\"kyodai_2011_03_01\" class=\"aligncenter size-full\" \/>\r\n<p>\u3057\u305f\u304c\u3063\u3066, \u6c42\u3081\u308b\u9762\u7a4d\u3092 \\(S\\) \u3068\u304a\u3051\u3070\r\n\\[\\begin{align}\r\nS & = \\displaystyle\\int _ {-2}^{\\frac{10}{3}} \\left\\{ x -\\left( \\dfrac{3}{4} x^2 -5 \\right) \\right\\} dx \\\\\r\n& \\qquad +2 \\displaystyle\\int _ {-2}^{\\frac{2}{3}} \\left\\{ \\left( 1 -\\dfrac{3}{4} x^2 \\right) -x \\right\\} dx \\\\\r\n& \\qquad -2 \\displaystyle\\int _ {-2}^{2} \\left\\{ -2 -\\left( \\dfrac{3}{4} x^2 -5 \\right) \\right\\} dx \\\\\r\n& = \\dfrac{3}{4} \\cdot \\dfrac{1}{6} \\left( \\dfrac{10}{3} +2 \\right)^3 \\\\\r\n& \\qquad +2 \\cdot \\dfrac{3}{4} \\cdot \\dfrac{1}{6} \\left( \\dfrac{2}{3} +2 \\right)^3 -2 \\cdot \\dfrac{3}{4} \\cdot \\dfrac{1}{6} \\left( 2 +2 \\right)^3 \\\\\r\n& = \\dfrac{1}{8} \\left( \\dfrac{16}{3} \\right)^3 +\\dfrac{1}{4} \\left( \\dfrac{8}{3} \\right)^3 -\\dfrac{1}{4} \\cdot 4^3 \\\\\r\n& = \\dfrac{2 \\cdot 16^2}{27} +\\dfrac{2 \\cdot 8^2}{27} -16 \\\\\r\n& = \\dfrac{640}{27} -16 = \\underline{\\dfrac{208}{27}}\r\n\\end{align}\\]\r\n","protected":false},"excerpt":{"rendered":"\\(xy\\) \u5e73\u9762\u4e0a\u3067, \\(y=x\\) \u306e\u30b0\u30e9\u30d5\u3068 \\(y =\\left| \\dfrac{3}{4} x^2 -3 \\right| -2\\) \u306e\u30b0\u30e9\u30d5\u306b\u3088\u3063\u3066\u56f2\u307e\u308c\u308b\u56f3\u5f62\u306e\u9762\u7a4d\u3092\u6c42\u3081\u3088.","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false,"footnotes":""},"categories":[23],"tags":[140,13],"class_list":["post-21","post","type-post","status-publish","format-standard","hentry","category-kyoto_r_2011","tag-kyoto_r","tag-13"],"_links":{"self":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/21","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/comments?post=21"}],"version-history":[{"count":0,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/21\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/media?parent=21"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/categories?post=21"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/tags?post=21"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}