{"id":827,"date":"2013-06-27T00:31:03","date_gmt":"2013-06-26T15:31:03","guid":{"rendered":"http:\/\/www.roundown.net\/nyushi\/?p=827"},"modified":"2021-09-09T07:26:37","modified_gmt":"2021-09-08T22:26:37","slug":"osr201304","status":"publish","type":"post","link":"https:\/\/www.roundown.net\/nyushi\/osr201304\/","title":{"rendered":"\u962a\u5927\u7406\u7cfb2013\uff1a\u7b2c4\u554f"},"content":{"rendered":"<hr \/>\n<p>\\(xyz\\) \u7a7a\u9593\u5185\u306e \\(3\\) \u70b9 O \\((0,0,0)\\) , A \\((1,0,0)\\) , B \\((1,1,0)\\) \u3092\u9802\u70b9\u3068\u3059\u308b\u4e09\u89d2\u5f62 OAB \u3092 \\(x\\) \u8ef8\u306e\u307e\u308f\u308a\u306b \\(1\\) \u56de\u8ee2\u3055\u305b\u3066\u3067\u304d\u308b\u5186\u3059\u3044\u3092 \\(V\\) \u3068\u3059\u308b.\r\n\u5186\u3059\u3044 \\(V\\) \u3092 \\(y\\) \u8ef8\u306e\u307e\u308f\u308a\u306b \\(1\\) \u56de\u8ee2\u3055\u305b\u3066\u3067\u304d\u308b\u7acb\u4f53\u306e\u4f53\u7a4d\u3092\u6c42\u3081\u3088.<\/p>\r\n<hr \/>\r\n<!--more-->\r\n<h2>\u3010 \u89e3 \u7b54 \u3011<\/h2>\r\n<p>\u4f53\u7a4d\u3092\u6c42\u3081\u308b\u7acb\u4f53\u3092 \\(W\\) \u3068\u304a\u304f.<br \/>\r\n\\(V , W\\) \u306f\u3068\u3082\u306b\u5e73\u9762 \\(y=0\\) \u306b\u3064\u3044\u3066\u5bfe\u79f0\u306a\u306e\u3067, \\(y \\geqq 0\\) \u306e\u90e8\u5206\u306b\u3064\u3044\u3066\u8003\u3048\u308b.<\/p>\r\n<img decoding=\"async\" src=\"\/\/www.roundown.net\/nyushi\/wp-content\/uploads\/osaka_r_2013_04_01.png\" alt=\"osaka_r_2013_04_01\" class=\"aligncenter size-ful\" \/>\r\n<p>\\(V\\) \u306e\u5e73\u9762 \\(y = t \\ ( 0 \\leqq t \\leqq 1)\\) \u306b\u3088\u308b\u65ad\u9762\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\/osaka_r_2013_04_02.png\" alt=\"osaka_r_2013_04_02\" class=\"aligncenter size-ful\" \/>\r\n<p>\u3053\u308c\u3092 \\(y\\) \u8ef8\uff08\u4e0a\u56f3\u3067\u306f\u539f\u70b9\uff09\u4e2d\u5fc3\u306b\u56de\u8ee2\u3055\u305b\u305f\u56f3\u5f62\u304c, \\(W\\) \u306e\u5e73\u9762 \\(y = t\\) \u306b\u3088\u308b\u65ad\u9762\u3067\u3042\u308a, \u305d\u306e\u9762\u7a4d\u3092 \\(S(t)\\) \u3068\u304a\u304f\u3068\r\n\\[\\begin{align}\r\nS(t) & = \\pi \\left\\{ \\left( 2-t^2 \\right) -t^2 \\right\\} \\\\\r\n& = 2 \\pi \\left( 1-t^2 \\right) \\ .\r\n\\end{align}\\]\r\n\u3088\u3063\u3066, \\(W\\) \u306e\u4f53\u7a4d\u306f\r\n\\[\\begin{align}\r\n2 \\displaystyle\\int _ 0^1 S(t) \\, dt & = 4 \\pi \\displaystyle\\int _ 0^1 \\left( 1-t^2 \\right) \\, dt \\\\\r\n& = 4 \\pi \\left[ t -\\dfrac{t^3}{3} \\right] _ 0^1 \\\\\r\n& = \\underline{\\dfrac{8 \\pi}{3}} \\ .\r\n\\end{align}\\]\r\n","protected":false},"excerpt":{"rendered":"\\(xyz\\) \u7a7a\u9593\u5185\u306e \\(3\\) \u70b9 O \\((0,0,0)\\) , A \\((1,0,0)\\) , B \\((1,1,0)\\) \u3092\u9802\u70b9\u3068\u3059\u308b\u4e09\u89d2\u5f62 OAB \u3092 \\(x\\) \u8ef8\u306e\u307e\u308f\u308a\u306b \\(1\\) \u56de\u8ee2\u3055\u305b\u3066\u3067\u304d\u308b &hellip; <a href=\"https:\/\/www.roundown.net\/nyushi\/osr201304\/\">\u7d9a\u304d\u3092\u8aad\u3080 <span class=\"meta-nav\">&rarr;<\/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":[90],"tags":[142,111],"class_list":["post-827","post","type-post","status-publish","format-standard","hentry","category-osaka_r_2013","tag-osaka_r","tag-111"],"_links":{"self":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/827","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=827"}],"version-history":[{"count":0,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/827\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/media?parent=827"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/categories?post=827"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/tags?post=827"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}