{"id":1939,"date":"2021-10-26T23:11:39","date_gmt":"2021-10-26T14:11:39","guid":{"rendered":"https:\/\/www.roundown.net\/nyushi\/?p=1939"},"modified":"2021-10-26T23:13:07","modified_gmt":"2021-10-26T14:13:07","slug":"tkb201601","status":"publish","type":"post","link":"https:\/\/www.roundown.net\/nyushi\/tkb201601\/","title":{"rendered":"\u6771\u5927\u6587\u7cfb2016\uff1a\u7b2c1\u554f"},"content":{"rendered":"<hr \/>\n<p>\u5ea7\u6a19\u5e73\u9762\u4e0a\u306e \\(3\\) \u70b9 P \\(( x , y )\\) , Q \\(( -x , -y )\\) , R \\(( 1 , 0 )\\) \u304c\u92ed\u89d2\u4e09\u89d2\u5f62\u3092\u306a\u3059\u305f\u3081\u306e \\(( x , y )\\) \u306b\u3064\u3044\u3066\u306e\u6761\u4ef6\u3092\u6c42\u3081\u3088. \u307e\u305f, \u305d\u306e\u6761\u4ef6\u3092\u307f\u305f\u3059\u70b9 P \\(( x , y )\\) \u306e\u7bc4\u56f2\u3092\u56f3\u793a\u305b\u3088.<\/p>\r\n<hr \/>\r\n<!--more-->\r\n<h4>\u3010 \u89e3 \u7b54 \u3011<\/h4>\r\n<p>\\[\\begin{align}\r\n\\text{PQ}^2 & = 4 ( x^2 +y^2 ) \\ , \\\\\r\n\\text{PR}^2 & = ( x-1 )^2 +y^2 \\ , \\\\\r\n\\text{QR}^2 & = ( x+1 )^2 +y^2\r\n\\end{align}\\]\r\n\u70b9 P \u304c \\(x\\) \u8ef8\u4e0a\u306b\u3042\u308b\u3068, \\(3\\) \u70b9\u304c\u4e00\u76f4\u7dda\u4e0a\u306b\u4e26\u3093\u3067\u3057\u307e\u3046\u306e\u3067\r\n\\[\r\ny \\neq 0 \\quad ... [1]\r\n\\]\r\n\u25b3PQR \u304c\u92ed\u89d2\u4e09\u89d2\u5f62\u306b\u306a\u308b\u6761\u4ef6\u306f\r\n\\[\r\n\\left\\{ \\begin{array}{ll} \\text{PQ}^2 \\lt \\text{PR}^2 +\\text{QR}^2 & \\quad ... [2] \\\\ \\text{PR}^2 \\lt \\text{QR}^2 +\\text{PQ}^2 & \\quad ... [3] \\\\ \\text{QR}^2 \\lt \\text{PQ}^2 +\\text{PR}^2 & \\quad ... [4] \\end{array} \\right.\r\n\\]\r\n[2] \u3088\u308a\r\n\\[\\begin{align}\r\n4 x^2 +4 y^2 & \\lt 2 x^2 +2 y^2 +2 \\\\\r\n\\text{\u2234} \\quad x^2 +y^2 & \\lt 1\r\n\\end{align}\\]\r\n[3] \u3088\u308a\r\n\\[\\begin{align}\r\n-2x & \\lt 4 x^2 +4 y^2+2x \\\\\r\nx^2 +x +y^2 & \\gt 0 \\\\\r\n\\text{\u2234} \\quad \\left( x +\\dfrac{1}{2} \\right)^2 +y^2 & \\gt \\dfrac{1}{4}\r\n\\end{align}\\]\r\n[4] \u3088\u308a\r\n\\[\\begin{align}\r\n2x & \\lt 4 x^2 +4 y^2-2x \\\\\r\nx^2 -x +y^2 & \\gt 0 \\\\\r\n\\text{\u2234} \\quad \\left( x -\\dfrac{1}{2} \\right)^2 +y^2 & \\gt \\dfrac{1}{4}\r\n\\end{align}\\]\r\n\u3088\u3063\u3066, \u6c42\u3081\u308b\u6761\u4ef6\u306f\r\n\\[\r\n\\underline{\\left\\{ \\begin{array}{l} x^2 +y^2 \\lt 1 \\\\ \\left( x +\\dfrac{1}{2} \\right)^2 +y^2 \\gt \\dfrac{1}{4} \\\\ \\left( x -\\dfrac{1}{2} \\right)^2 +y^2 \\gt \\dfrac{1}{4} \\end{array} \\right.}\r\n\\]\r\n\u56f3\u793a\u3059\u308b\u3068, \u4e0b\u56f3\u659c\u7dda\u90e8\uff08\u5883\u754c\u306f\u542b\u307e\u306a\u3044\uff09. \u3053\u308c\u306f, [1] \u3082\u6e80\u305f\u3057\u3066\u3044\u308b.<\/p>\r\n<img decoding=\"async\" src=\"\/nyushi\/wp-content\/uploads\/tkb20160101.svg\" alt=\"tkb20160101\" class=\"aligncenter size-full\" \/>\r\n","protected":false},"excerpt":{"rendered":"\u5ea7\u6a19\u5e73\u9762\u4e0a\u306e \\(3\\) \u70b9 P \\(( x , y )\\) , Q \\(( -x , -y )\\) , R \\(( 1 , 0 )\\) \u304c\u92ed\u89d2\u4e09\u89d2\u5f62\u3092\u306a\u3059\u305f\u3081\u306e \\(( x , y )\\) \u306b\u3064\u3044\u3066\u306e\u6761\u4ef6\u3092\u6c42\u3081\u3088. \u307e &hellip; <a href=\"https:\/\/www.roundown.net\/nyushi\/tkb201601\/\">\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":[160],"tags":[149,162],"class_list":["post-1939","post","type-post","status-publish","format-standard","hentry","category-tokyo_b_2016","tag-tokyo_b","tag-162"],"_links":{"self":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/1939","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=1939"}],"version-history":[{"count":0,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/1939\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/media?parent=1939"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/categories?post=1939"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/tags?post=1939"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}