{"id":727,"date":"2013-04-12T08:36:48","date_gmt":"2013-04-11T23:36:48","guid":{"rendered":"http:\/\/www.roundown.net\/nyushi\/?p=727"},"modified":"2021-10-31T08:28:17","modified_gmt":"2021-10-30T23:28:17","slug":"tkb200701","status":"publish","type":"post","link":"https:\/\/www.roundown.net\/nyushi\/tkb200701\/","title":{"rendered":"\u6771\u5927\u6587\u7cfb2007\uff1a\u7b2c1\u554f"},"content":{"rendered":"
\n

\u9023\u7acb\u65b9\u7a0b\u5f0f\r\n\\[\r\ny \\left( y -| x^2-5 | +4 \\right) \\leqq 0 , \\ y +x^2 -2x -3 \\leqq 0\r\n\\]\r\n\u306e\u8868\u3059\u9818\u57df\u3092 \\(D\\) \u3068\u3059\u308b.<\/p>\r\n

    \r\n

  1. (1)<\/strong>\u3000\\(D\\) \u3092\u56f3\u793a\u305b\u3088.<\/p><\/li>\r\n

  2. (2)<\/strong>\u3000\\(D\\) \u306e\u9762\u7a4d\u3092\u6c42\u3081\u3088.<\/p><\/li>\r\n<\/ol>\r\n

    \r\n\r\n

    \u3010 \u89e3 \u7b54 \u3011<\/h2>\r\n

    (1)<\/strong><\/p>\r\n

    \u7b2c \\(1\\) \u5f0f\u3088\u308a\r\n\\[\r\n\\left\\{\\begin{array}{ll} y \\geqq | x^2-5 | -4 & \\ ( \\ y \\lt 0 \\text{\u306e\u3068\u304d} ) \\\\ y \\leqq | x^2-5 | -4 & \\ ( \\ y \\geqq 0 \\text{\u306e\u3068\u304d} ) \\end{array}\\right.\r\n\\]\r\n\u7b2c \\(2\\) \u5f0f\u3088\u308a\r\n\\[\r\ny \\leqq -(x-1)^2 +4 = -(x+1)(x-3)\r\n\\]\r\n\u3088\u3063\u3066, \\(D\\) \u306f\u4e0b\u56f3\u659c\u7dda\u90e8\uff08\u5883\u754c\u542b\u3080\uff09<\/p>\r\n\"tokyo_b_2007_01_01\"\r\n

    (2)<\/strong><\/p>\r\n

    \u6c42\u3081\u308b\u9762\u7a4d \\(S\\) \u306f\r\n\\[\\begin{align}\r\nS & = \\displaystyle\\int _ {-1}^{1} (1-x^2) \\, dx -\\displaystyle\\int _ {1}^{\\sqrt{5}} (1-x^2) \\, dx \\\\\r\n& \\qquad -\\displaystyle\\int _ {\\sqrt{5}}^{3} (x^2-9) \\, dx \\\\\r\n& = \\dfrac{1}{6} \\cdot 2^3 -\\left[ x -\\dfrac{x^3}{3} \\right] _ {1}^{\\sqrt{5}} -\\left[ \\dfrac{x^3}{3} -9x \\right] _ {\\sqrt{5}}^{3} \\\\\r\n& = \\dfrac{4}{3} +\\left( \\dfrac{2}{3} +\\dfrac{2 \\sqrt{5}}{3} \\right) +\\left( 18 -\\dfrac{22 \\sqrt{5}}{3} \\right) \\\\\r\n& = \\underline{20 -\\dfrac{20 \\sqrt{5}}{3}}\r\n\\end{align}\\]\r\n","protected":false},"excerpt":{"rendered":"\u9023\u7acb\u65b9\u7a0b\u5f0f \\[ y \\left( y -| x^2-5 | +4 \\right) \\leqq 0 , \\ y +x^2 -2x -3 \\leqq 0 \\] \u306e\u8868\u3059\u9818\u57df\u3092 \\(D\\) \u3068\u3059\u308b. (1)\u3000\\(D\\) \u3092\u56f3\u793a … \u7d9a\u304d\u3092\u8aad\u3080 →<\/span><\/a>","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":[105],"tags":[149,109],"class_list":["post-727","post","type-post","status-publish","format-standard","hentry","category-tokyo_b_2007","tag-tokyo_b","tag-109"],"_links":{"self":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/727","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=727"}],"version-history":[{"count":0,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/727\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/media?parent=727"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/categories?post=727"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/tags?post=727"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}