{"id":1235,"date":"2015-08-19T10:50:10","date_gmt":"2015-08-19T01:50:10","guid":{"rendered":"http:\/\/www.roundown.net\/nyushi\/?p=1235"},"modified":"2021-03-22T20:05:48","modified_gmt":"2021-03-22T11:05:48","slug":"kyr201502","status":"publish","type":"post","link":"https:\/\/www.roundown.net\/nyushi\/kyr201502\/","title":{"rendered":"\u4eac\u5927\u7406\u7cfb2015\uff1a\u7b2c2\u554f"},"content":{"rendered":"
\n

\u6b21\u306e \\(2\\) \u3064\u306e\u6761\u4ef6\u3092\u540c\u6642\u306b\u6e80\u305f\u3059\u56db\u89d2\u5f62\u306e\u3046\u3061\u9762\u7a4d\u304c\u6700\u5c0f\u306e\u3082\u306e\u306e\u9762\u7a4d\u3092\u6c42\u3081\u3088.<\/p>\r\n

    \r\n

  1. (a)\u3000\u5c11\u306a\u304f\u3068\u3082 \\(2\\) \u3064\u306e\u5185\u89d2\u306f \\(90^{\\circ}\\) \u3067\u3042\u308b.<\/p><\/li>\r\n

  2. (b)\u3000\u534a\u5f84 \\(1\\) \u306e\u5186\u304c\u5185\u63a5\u3059\u308b. \u305f\u3060\u3057, \u5186\u304c\u56db\u89d2\u5f62\u306b\u5185\u63a5\u3059\u308b\u3068\u306f, \u5186\u304c\u56db\u89d2\u5f62\u306e \\(4\\) \u3064\u306e\u8fba\u3059\u3079\u3066\u306b\u63a5\u3059\u308b\u3053\u3068\u3092\u3044\u3046.<\/p><\/li>\r\n<\/ol>\r\n

    \r\n\r\n

    \u3010 \u89e3 \u7b54 \u3011<\/h4>\r\n

    \u56db\u89d2\u5f62\u306e\u9762\u7a4d\u3092 \\(S\\) \u3068\u304a\u304f.
    \r\n\u6761\u4ef6 (a) \u3088\u308a, \u4ee5\u4e0b\u306e \\(2\\) \u3064\u306e\u5834\u5408\u304c\u8003\u3048\u3089\u308c\u308b.<\/p>\r\n

      \r\n

    1. 1*<\/strong>\u3000\u96a3\u308a\u5408\u3046 \\(2\\) \u89d2\u304c \\(90^{\\circ}\\) \u306e\u3068\u304d
      \r\n\u6b8b\u308b \\(2\\) \u89d2\u306e\u3046\u3061, \u5c0f\u3055\u3044\u65b9\u306e\u89d2\u3092 \\(2 \\theta \\ ( 0 \\lt \\theta \\leqq 45^{\\circ} )\\) \u3068\u304a\u304f\u3068, \u56db\u89d2\u5f62\u306f\u53f0\u5f62\u306a\u306e\u3067\r\n\\[\\begin{align}\r\nS & = \\dfrac{1}{2} \\left\\{ 1 +\\dfrac{1}{\\tan \\theta} +1 +\\dfrac{1}{\\tan (90^{\\circ} -\\theta )} \\right\\} \\cdot 2 \\\\\r\n& = 2 +\\tan \\theta +\\dfrac{1}{\\tan \\theta}\r\n\\end{align}\\]<\/li>\r\n

    2. 2*<\/strong>\u3000\u5411\u304b\u3044\u5408\u3046 \\(2\\) \u89d2\u304c \\(90^{\\circ}\\) \u306e\u3068\u304d
      \r\n\u6b8b\u308b \\(2\\) \u89d2\u306e\u3046\u3061, \u5c0f\u3055\u3044\u65b9\u306e\u89d2\u3092 \\(2 \\theta \\ ( 0 \\lt \\theta \\leqq 45^{\\circ} )\\) \u3068\u304a\u304f\u3068, \u56db\u89d2\u5f62\u306f \\(2\\) \u3064\u306e\u5408\u540c\u306a\u4e09\u89d2\u5f62\u304b\u3089\u306a\u308b\u306e\u3067\r\n\\[\\begin{align}\r\nS & = 2 \\cdot \\dfrac{1}{2} \\left( 1 +\\dfrac{1}{\\tan \\theta} \\right) \\left\\{ 1 +\\dfrac{1}{\\tan (90^{\\circ} -\\theta )} \\right\\} \\\\\r\n& = 2 +\\tan \\theta +\\dfrac{1}{\\tan \\theta}\r\n\\end{align}\\]\r\n\u3057\u305f\u304c\u3063\u3066, \u3044\u305a\u308c\u306e\u5834\u5408\u3067\u3082 \\(S\\) \u306f\u540c\u69d8\u306b\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u3066, \u76f8\u52a0\u76f8\u4e57\u5e73\u5747\u306e\u95a2\u4fc2\u3092\u7528\u3044\u308c\u3070\r\n\\[\r\nS \\geqq 2 +2 \\sqrt{\\tan \\theta \\cdot \\dfrac{1}{\\tan \\theta}} = 4\r\n\\]\r\n\u7b49\u53f7\u6210\u7acb\u306f\r\n\\[\\begin{align}\r\n\\tan \\theta & = \\dfrac{1}{\\tan \\theta} \\\\\r\n\\tan^2 \\theta & = 1 \\\\\r\n\\text{\u2234} \\quad \\theta & = 45^{\\circ}\r\n\\end{align}\\]\r\n\u306e\u3068\u304d, \u3064\u307e\u308a, \u56db\u89d2\u5f62\u304c\u6b63\u65b9\u5f62\u3068\u306a\u308b\u3068\u304d\u3067\u3042\u308b.<\/p><\/li>\r\n<\/ol>\r\n

      \u3088\u3063\u3066, \u6c42\u3081\u308b\u6700\u5c0f\u5024\u306f\r\n\\[\r\n\\underline{4}\r\n\\]\r\n","protected":false},"excerpt":{"rendered":"\u6b21\u306e \\(2\\) \u3064\u306e\u6761\u4ef6\u3092\u540c\u6642\u306b\u6e80\u305f\u3059\u56db\u89d2\u5f62\u306e\u3046\u3061\u9762\u7a4d\u304c\u6700\u5c0f\u306e\u3082\u306e\u306e\u9762\u7a4d\u3092\u6c42\u3081\u3088. (a)\u3000\u5c11\u306a\u304f\u3068\u3082 \\(2\\) \u3064\u306e\u5185\u89d2\u306f \\(90^{\\circ}\\) \u3067\u3042\u308b. (b)\u3000\u534a\u5f84 \\(1\\) \u306e\u5186\u304c\u5185\u63a5\u3059\u308b. \u305f\u3060\u3057 … \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":[126],"tags":[140,137],"class_list":["post-1235","post","type-post","status-publish","format-standard","hentry","category-kyoto_r_2015","tag-kyoto_r","tag-137"],"_links":{"self":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/1235","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=1235"}],"version-history":[{"count":0,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/1235\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/media?parent=1235"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/categories?post=1235"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/tags?post=1235"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}