{"id":431,"date":"2012-06-20T00:33:21","date_gmt":"2012-06-19T15:33:21","guid":{"rendered":"http:\/\/roundown.main.jp\/nyushi\/?p=431"},"modified":"2021-09-30T08:38:48","modified_gmt":"2021-09-29T23:38:48","slug":"kbr201201","status":"publish","type":"post","link":"https:\/\/www.roundown.net\/nyushi\/kbr201201\/","title":{"rendered":"\u7b51\u6ce2\u5927\u7406\u7cfb2012\uff1a\u7b2c1\u554f"},"content":{"rendered":"
\n

\\(x\\) \u306e\u65b9\u7a0b\u5f0f \\(\\left| \\log _ {10} x \\right| =px+q\\) \uff08 \\(p,q\\) \u306f\u5b9f\u6570\uff09\u304c \\(3\\) \u3064\u306e\u76f8\u7570\u306a\u308b\u6b63\u306e\u89e3\u3092\u6301\u3061, \u6b21\u306e \\(2\\) \u3064\u306e\u6761\u4ef6\u3092\u6e80\u305f\u3059\u3068\u3059\u308b.<\/p>\r\n

    \r\n

  1. (I)\u3000\\(3\\) \u3064\u306e\u89e3\u306e\u6bd4\u306f, \\(1 : 2 : 3\\) \u3067\u3042\u308b.<\/p><\/li>\r\n

  2. (II)\u3000\\(3\\) \u3064\u306e\u89e3\u306e\u3046\u3061\u6700\u5c0f\u306e\u3082\u306e\u306f, \\(\\dfrac{1}{2}\\) \u3088\u308a\u5927\u304d\u304f, \\(1\\) \u3088\u308a\u5c0f\u3055\u3044.<\/p><\/li>\r\n<\/ol>\r\n

    \u3053\u306e\u3068\u304d, \\(A =\\log _ {10} 2\\) , \\(B =\\log _ {10} 3\\) \u3068\u304a\u304d, \\(p\\) \u3068 \\(q\\) \u3092 \\(A\\) \u3068 \\(B\\) \u3092\u7528\u3044\u3066\u8868\u305b.<\/p>\r\n

    \r\n\r\n

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

    \u6700\u5c0f\u306e\u89e3\u3092 \\(x = k \\ \\left( \\dfrac{1}{2} \\lt k \\lt 1 \\right)\\) , \\(C = \\log _ {10} k\\) \u3068\u304a\u304f\u3068\r\n\\[\\begin{align}\r\n-\\log _ {10} k & = -C = pk+q \\quad ... [1] , \\\\\r\n\\log _ {10} 2k & = A+C = 2pk+q \\quad ... [2] , \\\\\r\n\\log _ {10} 3k & = B+C = 3pk+q \\quad ... [3]\r\n\\end{align}\\]\r\n[1] \u3088\u308a, \\(pk = -q-C\\) ... [4] .
    \r\n[2] [3] \u306b\u4ee3\u5165\u3057\u3066\r\n\\[\\begin{align}\r\n-q-3C =A & , \\ -2q-4C = B \\\\\r\n\\text{\u2234} \\quad q = \\underline{2A-\\dfrac{3B}{2}} & , \\ C = -A+\\dfrac{B}{2} = \\log _ {10} \\dfrac{\\sqrt{3}}{2} \\\\\r\n\\text{\u2234} \\quad k & = \\dfrac{\\sqrt{3}}{2}\r\n\\end{align}\\]\r\n\u3053\u308c\u306f \\(\\dfrac{1}{2} \\lt k \\lt 1\\) \u3092\u307f\u305f\u3057\u3066\u3044\u308b.
    \r\n[4] \u306b\u4ee3\u5165\u3057\u3066\r\n\\[\\begin{align}\r\n\\dfrac{\\sqrt{3}}{2} p & = -2A+\\dfrac{3B}{2} +A -\\dfrac{B}{2} \\\\\r\n\\text{\u2234} \\quad p & = \\underline{\\dfrac{2 \\sqrt{3}}{3} (-A+B)}\r\n\\end{align}\\]\r\n","protected":false},"excerpt":{"rendered":"\\(x\\) \u306e\u65b9\u7a0b\u5f0f \\(\\left| \\log _ {10} x \\right| =px+q\\) \uff08 \\(p,q\\) \u306f\u5b9f\u6570\uff09\u304c \\(3\\) \u3064\u306e\u76f8\u7570\u306a\u308b\u6b63\u306e\u89e3\u3092\u6301\u3061, \u6b21\u306e \\(2\\) \u3064\u306e\u6761\u4ef6\u3092\u6e80\u305f\u3059\u3068\u3059\u308b. (I … \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":[65],"tags":[144,68],"class_list":["post-431","post","type-post","status-publish","format-standard","hentry","category-tsukuba_r_2012","tag-tsukuba_r","tag-68"],"_links":{"self":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/431","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=431"}],"version-history":[{"count":0,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/431\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/media?parent=431"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/categories?post=431"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/tags?post=431"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}