{"id":1959,"date":"2021-11-14T09:44:46","date_gmt":"2021-11-14T00:44:46","guid":{"rendered":"https:\/\/www.roundown.net\/nyushi\/?p=1959"},"modified":"2021-11-14T09:44:46","modified_gmt":"2021-11-14T00:44:46","slug":"tkr202102","status":"publish","type":"post","link":"https:\/\/www.roundown.net\/nyushi\/tkr202102\/","title":{"rendered":"\u6771\u5927\u7406\u7cfb2021\uff1a\u7b2c2\u554f"},"content":{"rendered":"<hr \/>\n<p>\u8907\u7d20\u6570 \\(a , b, c\\) \u306b\u5bfe\u3057\u3066\u6574\u5f0f \\(f(z) = az^2 +bz +c\\) \u3092\u8003\u3048\u308b.\r\n\\(i\\) \u3092\u865a\u6570\u5358\u4f4d\u3068\u3059\u308b.<\/p>\r\n<ol>\r\n<li><p><strong>(1)<\/strong>\u3000\\(\\alpha , \\beta , \\gamma\\) \u3092\u8907\u7d20\u6570\u3068\u3059\u308b.\r\n\\(f( 0 ) = \\alpha\\) , \\(f( 1 ) = \\beta\\) , \\(f(i) = \\gamma\\) \u304c\u6210\u308a\u7acb\u3064\u3068\u304d, \\(a , b , c\\) \u3092\u305d\u308c\u305e\u308c \\(\\alpha , \\beta , \\gamma\\) \u3067\u8868\u305b.<\/p><\/li>\r\n<li><p><strong>(2)<\/strong>\u3000\\(f(0) , f(1) , f(i)\\) \u304c\u3044\u305a\u308c\u3082 \\(1\\) \u4ee5\u4e0a \\(2\\) \u4ee5\u4e0b\u306e\u5b9f\u6570\u3067\u3042\u308b\u3068\u304d, \\(f(2)\\) \u306e\u3068\u308a\u3046\u308b\u7bc4\u56f2\u3092\u8907\u7d20\u6570\u5e73\u9762\u4e0a\u306b\u56f3\u793a\u305b\u3088.<\/p><\/li>\r\n<\/ol>\r\n<hr \/>\r\n<!--more-->\r\n<h4>\u3010 \u89e3 \u7b54 \u3011<\/h4>\r\n<p><strong>(1)<\/strong><\/p>\r\n<p>\\[\\begin{align}\r\nf(0) & = c = \\underline{\\alpha} \\ , \\\\\r\nf(1) & = a +b +c = \\beta \\quad ... [1] \\ , \\\\\r\nf(i) & = -a +bi +c = \\gamma \\quad ... [2]\r\n\\end{align}\\]\r\n\\([1] +[2]\\) \u3088\u308a\r\n\\[\\begin{align}\r\n( 1 +i ) b +2c & = \\beta +\\gamma \\\\\r\n\\text{\u2234} \\quad b & = \\dfrac{-2 \\alpha +\\beta +\\gamma}{1+i} \\\\\r\n& = \\underline{( -1 +i ) \\alpha +\\dfrac{1-i}{2} \\beta +\\dfrac{1-i}{2} \\gamma}\r\n\\end{align}\\]\r\n\\([1] \\times i -[2]\\) \u3088\u308a\r\n\\[\\begin{align}\r\n( 1 +i ) a +( -1 +i ) \\alpha & = \\beta i -\\gamma \\\\\r\n\\text{\u2234} \\quad a & = \\dfrac{(1 -i ) \\alpha +\\beta i -\\gamma}{1 +i} \\\\\r\n& = \\underline{-i \\alpha +\\dfrac{1 +i}{2} \\beta +\\dfrac{-1 +i}{2} \\gamma}\r\n\\end{align}\\]\r\n<p><strong>(2)<\/strong><\/p>\r\n<p><strong>(1)<\/strong> \u306e\u7d50\u679c\u3092\u7528\u3044\u308c\u3070\r\n\\[\\begin{align}\r\nf(2) & = 4a +2b +c \\\\\r\n& = -4i \\alpha +( 2 +2i ) \\beta +( -2 +2i ) \\gamma \\\\\r\n& \\qquad +( -2 +2i ) \\alpha +( 1 -i ) \\beta +( 1 -i ) \\gamma +\\alpha \\\\\r\n& = \\underline{( -1 -2i ) \\alpha} _ {[3]} +\\underline{( 3 +i ) \\beta} _ {[4]} +\\underline{( -1 +i ) \\gamma} _ {[5]}\r\n\\end{align}\\]\r\n\\(1 \\leqq \\alpha \\leqq 2\\) , \\(1 \\leqq \\beta \\leqq 2\\) , \\(1 \\leqq \\gamma \\leqq 2\\) \u306e\u3068\u304d, [3] \uff5e [5] \u305d\u308c\u305e\u308c\u304c\u3068\u308a\u3046\u308b\u7bc4\u56f2\u306f\u4e0b\u56f3\u3068\u306a\u308b.<\/p>\r\n<img decoding=\"async\" src=\"\/nyushi\/wp-content\/uploads\/tkr20210201.svg\" alt=\"tkr20210201\" class=\"aligncenter size-full\" \/>\r\n<p>\u3057\u305f\u304c\u3063\u3066, \\([3] +[4]\\) \u304c\u3068\u308a\u3046\u308b\u7bc4\u56f2\u306f\u4e0b\u56f3\u659c\u7dda\u90e8\uff08\u5883\u754c\u542b\u3080\uff09.<\/p>\r\n<img decoding=\"async\" src=\"\/nyushi\/wp-content\/uploads\/tkr20210202.svg\" alt=\"tkr20210202\" class=\"aligncenter size-full\" \/>\r\n<p>\u3088\u3063\u3066, \\([3] +[4] +[5]\\) \u3059\u306a\u308f\u3061 \\(f(2)\\) \u304c\u3068\u308a\u3046\u308b\u7bc4\u56f2\u306f\u4e0b\u56f3\u659c\u7dda\u90e8\uff08\u5883\u754c\u542b\u3080\uff09.<\/p>\r\n<img decoding=\"async\" src=\"\/nyushi\/wp-content\/uploads\/tkr20210203.svg\" alt=\"tkr20210203\" class=\"aligncenter size-full\" \/>\r\n","protected":false},"excerpt":{"rendered":"\u8907\u7d20\u6570 \\(a , b, c\\) \u306b\u5bfe\u3057\u3066\u6574\u5f0f \\(f(z) = az^2 +bz +c\\) \u3092\u8003\u3048\u308b. \\(i\\) \u3092\u865a\u6570\u5358\u4f4d\u3068\u3059\u308b. (1)\u3000\\(\\alpha , \\beta , \\gamma\\) \u3092\u8907\u7d20\u6570\u3068\u3059\u308b.  &hellip; <a href=\"https:\/\/www.roundown.net\/nyushi\/tkr202102\/\">\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":[164],"tags":[139,165],"class_list":["post-1959","post","type-post","status-publish","format-standard","hentry","category-tokyo_r_2021","tag-tokyo_r","tag-165"],"_links":{"self":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/1959","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=1959"}],"version-history":[{"count":0,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/1959\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/media?parent=1959"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/categories?post=1959"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/tags?post=1959"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}