{"id":367,"date":"2012-04-11T00:23:17","date_gmt":"2012-04-10T15:23:17","guid":{"rendered":"http:\/\/roundown.main.jp\/nyushi\/?p=367"},"modified":"2021-03-23T17:40:16","modified_gmt":"2021-03-23T08:40:16","slug":"kyr201202","status":"publish","type":"post","link":"https:\/\/www.roundown.net\/nyushi\/kyr201202\/","title":{"rendered":"\u4eac\u5927\u7406\u7cfb2012\uff1a\u7b2c2\u554f"},"content":{"rendered":"
\n

\u6b63\u56db\u9762\u4f53 OABC \u306b\u304a\u3044\u3066, \u70b9 P, Q, R \u3092\u305d\u308c\u305e\u308c\u8fba OA, OB, OC \u4e0a\u306b\u3068\u308b.\r\n\u305f\u3060\u3057 P, Q, R \u306f\u56db\u9762\u4f53 OABC \u306e\u9802\u70b9\u3068\u306f\u7570\u306a\u308b\u3068\u3059\u308b. \u25b3PQR \u304c\u6b63\u4e09\u89d2\u5f62\u306a\u3089\u3070,\r\n\\(3\\) \u8fba PQ, QR, RP \u306f\u305d\u308c\u305e\u308c \\(3\\) \u8fba AB, BC, CA \u306b\u5e73\u884c\u3067\u3042\u308b\u3053\u3068\u3092\u8a3c\u660e\u305b\u3088.<\/p>\r\n

\r\n\r\n

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

\u6b63\u56db\u9762\u4f53\u306e \\(1\\) \u8fba\u306e\u9577\u3055\u3092 \\(1\\) \u3068\u3057\u3066\u3082\u4e00\u822c\u6027\u3092\u5931\u308f\u306a\u3044.
\r\nOP, OQ, OR \u306e\u9577\u3055\u3092 \\(p , q , r\\) \u3068\u304a\u304f\u3068, \u4f59\u5f26\u5b9a\u7406\u3088\u308a\r\n\\[\r\n\\text{PQ}^2 =p^2 +q^2 -2pq \\cos 60^{\\circ} =p^2 +q^2 -pq\r\n\\]\r\n\u540c\u69d8\u306b\u3057\u3066\r\n\\[\r\n\\text{QR}^2 =q^2 +r^2 -qr , \\ \\text{PR}^2 =p^2 +r^2 -pr\r\n\\]\r\n\\(\\text{PQ} =\\text{QR} =\\text{PR}\\) \u306a\u306e\u3067\r\n\\[\\begin{align}\r\n& \\left\\{ \\begin{array}{l} p^2 +q^2 -pq =q^2 +r^2 -qr \\\\ q^2 +r^2 -qr =p^2 +r^2 -pr \\end{array} \\right. \\\\\r\n\\text{\u2234} \\quad & \\left\\{ \\begin{array}{ll} (p-r)(p+r-q) =0 & \\ ...[1] \\\\ (p-q)(p+q-r) =0 & \\ ...[2] \\end{array} \\right.\r\n\\end{align}\\]\r\n[1] \u3088\u308a, \\(p=r\\) \u307e\u305f\u306f \\(q=p+r\\) .<\/p>\r\n

    \r\n

  1. 1*<\/strong>\u3000\\(p=r\\) \u306e\u3068\u304d, [2]\u306b\u4ee3\u5165\u3057\u3066\r\n\\[\\begin{align}\r\n(p-q) q & = 0 \\\\\r\n\\text{\u2234} \\quad p & = q \\quad ( \\ \\text{\u2235} \\ q \\neq 0 )\r\n\\end{align}\\]<\/li>\r\n

  2. 2*<\/strong>\u3000\\(q=p+r\\) \u306e\u3068\u304d, [2]\u306b\u4ee3\u5165\u3057\u3066\r\n\\[\r\n2pq =0\r\n\\]\r\n\\(p \\neq 0\\) , \\(q \\neq 0\\) \u306a\u306e\u3067, \u89e3\u306a\u3057.<\/p><\/li>\r\n<\/ol>\r\n

    \u4ee5\u4e0a\u3088\u308a, [1] [2] \u3092\u89e3\u304f\u3068\r\n\\[\r\np=q=r\r\n\\]\r\n\u3088\u3063\u3066, P, Q, R\u306f OA, OB, OC \u305d\u308c\u305e\u308c\u3092 \\(p : (1-p)\\) \u3067\u5185\u5206\u3059\u308b\u70b9\u306a\u306e\u3067,\r\nPQ, QR , RP \u306f\u305d\u308c\u305e\u308c, AB, BC, CA \u3068\u5e73\u884c\u3067\u3042\u308b.<\/p>\r\n","protected":false},"excerpt":{"rendered":"\u6b63\u56db\u9762\u4f53 OABC \u306b\u304a\u3044\u3066, \u70b9 P, Q, R \u3092\u305d\u308c\u305e\u308c\u8fba OA, OB, OC \u4e0a\u306b\u3068\u308b. \u305f\u3060\u3057 P, Q, R \u306f\u56db\u9762\u4f53 OABC \u306e\u9802\u70b9\u3068\u306f\u7570\u306a\u308b\u3068\u3059\u308b. \u25b3PQR \u304c\u6b63\u4e09\u89d2\u5f62\u306a\u3089\u3070, \\(3\\) \u8fba PQ … \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":[59],"tags":[140,68],"class_list":["post-367","post","type-post","status-publish","format-standard","hentry","category-kyoto_r_2012","tag-kyoto_r","tag-68"],"_links":{"self":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/367","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=367"}],"version-history":[{"count":0,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/367\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/media?parent=367"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/categories?post=367"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/tags?post=367"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}