{"id":4446,"date":"2013-12-21T06:00:30","date_gmt":"2013-12-20T21:00:30","guid":{"rendered":"http:\/\/fujiitoshiki.com\/improvesociety\/?p=4446"},"modified":"2014-09-10T16:48:29","modified_gmt":"2014-09-10T07:48:29","slug":"post-4446","status":"publish","type":"post","link":"https:\/\/www.fujiitoshiki.com\/improvesociety\/?p=4446","title":{"rendered":"\u4e00\u6b21\u65b9\u7a0b\u5f0f\u3068\u884c\u5217\u5f0f"},"content":{"rendered":"<div class=\"theContentWrap-ccc\"><p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+a_1x+%2B+b_1y+%3D+c_1%5C%5C%5Cvspace%7B0.2+in%7D+++a_2x+%2B+b_2y+%3D+c_2%5C+%5Ccdots%281%29&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle a_1x + b_1y = c_1\\\\\\vspace{0.2 in}   a_2x + b_2y = c_2\\ \\cdots(1)' title='\\displaystyle a_1x + b_1y = c_1\\\\\\vspace{0.2 in}   a_2x + b_2y = c_2\\ \\cdots(1)' class='latex' \/><\/p>\n<p>\u3000\u3053\u308c\u3089\u306f xy \u5e73\u9762\u306b\u304a\u3051\u308b 2 \u672c\u306e\u76f4\u7dda\u3092\u793a\u3057\u3066\u304a\u308a\uff0c\u4e00\u822c\u306b (x, y) \u5ea7\u6a19\u3067\u4ea4\u308f\u308b 1 \u70b9\u306b\u304a\u3044\u3066\u540c\u6642\u306b\u89e3\u304c\u5f97\u3089\u308c\u307e\u3059\uff0e<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+x+%3D+%5Cfrac%7Bc_1b_2+-+b_1c_2%7D%7Ba_1b_2+-+b_1a_2%7D%2C%5C+y+%3D+%5Cfrac%7Ba_1c_2+-+c_1a_2%7D%7Ba_1b_2+-+b_1a_2%7D%5C+%5Ccdots%282%29&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle x = \\frac{c_1b_2 - b_1c_2}{a_1b_2 - b_1a_2},\\ y = \\frac{a_1c_2 - c_1a_2}{a_1b_2 - b_1a_2}\\ \\cdots(2)' title='\\displaystyle x = \\frac{c_1b_2 - b_1c_2}{a_1b_2 - b_1a_2},\\ y = \\frac{a_1c_2 - c_1a_2}{a_1b_2 - b_1a_2}\\ \\cdots(2)' class='latex' \/><\/p>\n<p>\u3000\u3053\u308c\u3092\u884c\u5217\u5f0f\u3067\u8868\u73fe\u3059\u308b\u306e\u306f\u4fbf\u5229\u3067\u3059\uff0e<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+x+%3D+%5Cfrac%7B%5Cleft%7C%5Cbegin%7Barray%7D%7Bcc%7Dc_1+%26+b_1+%5C%5C+c_2+%26+b_2%5Cend%7Barray%7D%5Cright%7C%7D%7B%5Cleft%7C%5Cbegin%7Barray%7D%7Bcc%7Da_1+%26+b_1+%5C%5C+a_2+%26+b_2%5Cend%7Barray%7D%5Cright%7C%7D%2C%5C+y+%3D+%5Cfrac%7B%5Cleft%7C%5Cbegin%7Barray%7D%7Bcc%7Da_1+%26+c_1+%5C%5C+a_2+%26+c_2%5Cend%7Barray%7D%5Cright%7C%7D%7B%5Cleft%7C%5Cbegin%7Barray%7D%7Bcc%7Da_1+%26+b_1+%5C%5C+a_2+%26+b_2+%5Cend%7Barray%7D%5Cright%7C%7D%5C+%5Ccdots%283%29&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle x = \\frac{\\left|\\begin{array}{cc}c_1 &amp; b_1 \\\\ c_2 &amp; b_2\\end{array}\\right|}{\\left|\\begin{array}{cc}a_1 &amp; b_1 \\\\ a_2 &amp; b_2\\end{array}\\right|},\\ y = \\frac{\\left|\\begin{array}{cc}a_1 &amp; c_1 \\\\ a_2 &amp; c_2\\end{array}\\right|}{\\left|\\begin{array}{cc}a_1 &amp; b_1 \\\\ a_2 &amp; b_2 \\end{array}\\right|}\\ \\cdots(3)' title='\\displaystyle x = \\frac{\\left|\\begin{array}{cc}c_1 &amp; b_1 \\\\ c_2 &amp; b_2\\end{array}\\right|}{\\left|\\begin{array}{cc}a_1 &amp; b_1 \\\\ a_2 &amp; b_2\\end{array}\\right|},\\ y = \\frac{\\left|\\begin{array}{cc}a_1 &amp; c_1 \\\\ a_2 &amp; c_2\\end{array}\\right|}{\\left|\\begin{array}{cc}a_1 &amp; b_1 \\\\ a_2 &amp; b_2 \\end{array}\\right|}\\ \\cdots(3)' class='latex' \/><\/p>\n<p>\u30002 \u6b21\u306e\u884c\u5217\u5f0f\u306f\u6b21\u306e\u3088\u3046\u306b\u5b9a\u7fa9\u3057\u307e\u3059\uff0e<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+%5Cleft%7C%5Cbegin%7Barray%7D%7Bcc%7Da+%26+b+%5C%5C+c+%26+d+%5Cend%7Barray%7D%5Cright%7C+%3D+ad+-+bc%5C+%5Ccdots%284%29&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle \\left|\\begin{array}{cc}a &amp; b \\\\ c &amp; d \\end{array}\\right| = ad - bc\\ \\cdots(4)' title='\\displaystyle \\left|\\begin{array}{cc}a &amp; b \\\\ c &amp; d \\end{array}\\right| = ad - bc\\ \\cdots(4)' class='latex' \/><\/p>\n<p>\u3000\u5f37\u8abf\u3059\u3079\u304d\u3053\u3068\u3067\u3059\u304c\uff0c(3) \u3067\u8a18\u8ff0\u3057\u305f x \u3068 y \u306e\u5206\u6bcd\u306f (1) \u306e x \u3068 y \u306e\u4fc2\u6570\u3092\u542b\u3080\u884c\u5217\u5f0f\u3067\u3059\uff0ex \u306e\u5206\u5b50\u306f\u5206\u6bcd\u306e 1 \u5217\u76ee\u3092 (1) \u306e\u53f3\u5074\u306e c<sub>1<\/sub>, c<sub>2<\/sub> \u306e\u5b9a\u6570\u3067\u7f6e\u63db\u3057\u3066\u5f97\u3089\u308c\u307e\u3059\uff0e\u540c\u69d8\u306b y \u306e\u5206\u5b50\u306f c<sub>1<\/sub>, c<sub>2<\/sub> \u3067 2 \u5217\u76ee\u3092\u7f6e\u63db\u3057\u3066\u5f97\u3089\u308c\u307e\u3059\uff0e\u3053\u306e\u51e6\u7406\u306f\u3057\u3070\u3057\u3070 Crame&#8217;s rule \u3068\u547c\u3070\u308c\u307e\u3059\uff0e(3) \u306e\u5206\u6bcd\u304c\u30bc\u30ed\u306e\u5834\u5408\u306f (1) \u3067\u793a\u3055\u308c\u308b 2 \u884c\u306f1\u70b9\u3067\u4ea4\u5dee\u305b\u305a\uff0c\u4e00\u81f4\u3059\u308b\u304b\u5e73\u884c\u3067\u3042\u308b\u304b\u3067\u3059\uff0e<\/p>\n<p>\u3000\u3053\u306e\u8003\u3048\u306f\u5bb9\u6613\u306b\u62e1\u5f35\u3067\u304d\u307e\u3059\uff0e\u6b21\u306e\u65b9\u7a0b\u5f0f\u3092\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\uff0e<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle++++a_1x+%2B+b_1y+%2B+c_1z+%3D+d_1%5C%5C%5Cvspace%7B0.2+in%7D+++a_2x+%2B+b_2y+%2B+c_2z+%3D+d_2%5C+%5Ccdots%285%29%5C%5C%5Cvspace%7B0.2+in%7D+++a_3x+%2B+b_3y+%2B+c_3z+%3D+d_3&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle    a_1x + b_1y + c_1z = d_1\\\\\\vspace{0.2 in}   a_2x + b_2y + c_2z = d_2\\ \\cdots(5)\\\\\\vspace{0.2 in}   a_3x + b_3y + c_3z = d_3' title='\\displaystyle    a_1x + b_1y + c_1z = d_1\\\\\\vspace{0.2 in}   a_2x + b_2y + c_2z = d_2\\ \\cdots(5)\\\\\\vspace{0.2 in}   a_3x + b_3y + c_3z = d_3' class='latex' \/><\/p>\n<p>3\u884c\u3092\u793a\u3057\u307e\u3059\uff0e\u3053\u308c\u3089\u304c 1 \u70b9\u3067\u4ea4\u308f\u308b\u5834\u5408\uff0c\u3053\u306e\u70b9\u306e (x, y, z) \u5ea7\u6a19\u306f Cramer&#8217;s rule \u304b\u3089\u5f97\u3089\u308c\u307e\u3059\uff0e<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+++x+%3D+%5Cfrac%7B%5Cleft%7C%5Cbegin%7Barray%7D%7Bccc%7Dd_1+%26+b_1+%26+c_1+%5C%5C+d_2+%26+b_2+%26+c_2+%5C%5C+d_3+%26+b_3+%26+c_3%5Cend%7Barray%7D%5Cright%7C%7D%7B%5Cleft%7C%5Cbegin%7Barray%7D%7Bccc%7Da_1+%26+b_1+%26+c_1+%5C%5C+a_2+%26+b_2+%26+c_2+%5C%5C+a_3+%26+b_3+%26+c_3%5Cend%7Barray%7D%5Cright%7C%7D%2C%5C+y+%3D+%5Cfrac%7B%5Cleft%7C%5Cbegin%7Barray%7D%7Bccc%7Da_1+%26+d_1+%26+c_1+%5C%5C+a_2+%26+d_2+%26+c_2+%5C%5C+a_3+%26+d_3+%26+c_3%5Cend%7Barray%7D%5Cright%7C%7D%7B%5Cleft%7C%5Cbegin%7Barray%7D%7Bccc%7Da_1+%26+b_1+%26+c_1+%5C%5C+a_2+%26+b_2+%26+c_2+%5C%5C+a_3+%26+b_3+%26+c_3%5Cend%7Barray%7D%5Cright%7C%7D%2C%5C+z+%3D+%5Cfrac%7B%5Cleft%7C%5Cbegin%7Barray%7D%7Bccc%7Da_1+%26+b_1+%26+d_1+%5C%5C+a_2+%26+b_2+%26+d_2+%5C%5C+a_3+%26+b_3+%26+d_3%5Cend%7Barray%7D%5Cright%7C%7D%7B%5Cleft%7C%5Cbegin%7Barray%7D%7Bccc%7Da_1+%26+b_1+%26+c_1+%5C%5C+a_2+%26+b_2+%26+c_2+%5C%5C+a_3+%26+b_3+%26+c_3%5Cend%7Barray%7D%5Cright%7C%7D%5C+%5Ccdots%286%29&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle   x = \\frac{\\left|\\begin{array}{ccc}d_1 &amp; b_1 &amp; c_1 \\\\ d_2 &amp; b_2 &amp; c_2 \\\\ d_3 &amp; b_3 &amp; c_3\\end{array}\\right|}{\\left|\\begin{array}{ccc}a_1 &amp; b_1 &amp; c_1 \\\\ a_2 &amp; b_2 &amp; c_2 \\\\ a_3 &amp; b_3 &amp; c_3\\end{array}\\right|},\\ y = \\frac{\\left|\\begin{array}{ccc}a_1 &amp; d_1 &amp; c_1 \\\\ a_2 &amp; d_2 &amp; c_2 \\\\ a_3 &amp; d_3 &amp; c_3\\end{array}\\right|}{\\left|\\begin{array}{ccc}a_1 &amp; b_1 &amp; c_1 \\\\ a_2 &amp; b_2 &amp; c_2 \\\\ a_3 &amp; b_3 &amp; c_3\\end{array}\\right|},\\ z = \\frac{\\left|\\begin{array}{ccc}a_1 &amp; b_1 &amp; d_1 \\\\ a_2 &amp; b_2 &amp; d_2 \\\\ a_3 &amp; b_3 &amp; d_3\\end{array}\\right|}{\\left|\\begin{array}{ccc}a_1 &amp; b_1 &amp; c_1 \\\\ a_2 &amp; b_2 &amp; c_2 \\\\ a_3 &amp; b_3 &amp; c_3\\end{array}\\right|}\\ \\cdots(6)' title='\\displaystyle   x = \\frac{\\left|\\begin{array}{ccc}d_1 &amp; b_1 &amp; c_1 \\\\ d_2 &amp; b_2 &amp; c_2 \\\\ d_3 &amp; b_3 &amp; c_3\\end{array}\\right|}{\\left|\\begin{array}{ccc}a_1 &amp; b_1 &amp; c_1 \\\\ a_2 &amp; b_2 &amp; c_2 \\\\ a_3 &amp; b_3 &amp; c_3\\end{array}\\right|},\\ y = \\frac{\\left|\\begin{array}{ccc}a_1 &amp; d_1 &amp; c_1 \\\\ a_2 &amp; d_2 &amp; c_2 \\\\ a_3 &amp; d_3 &amp; c_3\\end{array}\\right|}{\\left|\\begin{array}{ccc}a_1 &amp; b_1 &amp; c_1 \\\\ a_2 &amp; b_2 &amp; c_2 \\\\ a_3 &amp; b_3 &amp; c_3\\end{array}\\right|},\\ z = \\frac{\\left|\\begin{array}{ccc}a_1 &amp; b_1 &amp; d_1 \\\\ a_2 &amp; b_2 &amp; d_2 \\\\ a_3 &amp; b_3 &amp; d_3\\end{array}\\right|}{\\left|\\begin{array}{ccc}a_1 &amp; b_1 &amp; c_1 \\\\ a_2 &amp; b_2 &amp; c_2 \\\\ a_3 &amp; b_3 &amp; c_3\\end{array}\\right|}\\ \\cdots(6)' class='latex' \/><\/p>\n<p>\u30003 \u6b21\u306e\u884c\u5217\u5f0f\u306f\u6b21\u306e\u3088\u3046\u306b\u5b9a\u7fa9\u3055\u308c\u307e\u3059\uff0e<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+%5Cleft%7C%5Cbegin%7Barray%7D%7Bccc%7Da_1+%26+b_1+%26+c_1+%5C%5C+a_2+%26+b_2+%26+c_2+%5C%5Ca_3+%26+b_3+%26+c_3%5Cend%7Barray%7D%5Cright%7C+%3D+a_1b_2c_3+%2B+b_1c_2a_3+%2B+c_1a_2b_3+-+%28b_1a_2c_3+%2B+a_1c_2b_3+%2B+c_1b_2a_3%29%5C+%5Ccdots%287%29&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle \\left|\\begin{array}{ccc}a_1 &amp; b_1 &amp; c_1 \\\\ a_2 &amp; b_2 &amp; c_2 \\\\a_3 &amp; b_3 &amp; c_3\\end{array}\\right| = a_1b_2c_3 + b_1c_2a_3 + c_1a_2b_3 - (b_1a_2c_3 + a_1c_2b_3 + c_1b_2a_3)\\ \\cdots(7)' title='\\displaystyle \\left|\\begin{array}{ccc}a_1 &amp; b_1 &amp; c_1 \\\\ a_2 &amp; b_2 &amp; c_2 \\\\a_3 &amp; b_3 &amp; c_3\\end{array}\\right| = a_1b_2c_3 + b_1c_2a_3 + c_1a_2b_3 - (b_1a_2c_3 + a_1c_2b_3 + c_1b_2a_3)\\ \\cdots(7)' class='latex' \/><\/p>\n<p>\u3000\u3053\u306e\u884c\u5217\u5f0f\u306f 2 \u6b21\u306e\u884c\u5217\u5f0f\u306e\u9762\u3067\u6b21\u306e\u3088\u3046\u306b\u8a55\u4fa1\u3055\u308c\u307e\u3059\uff0e<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+a_1%5Cleft%7C%5Cbegin%7Barray%7D%7Bcc%7Db_2+%26+c_2+%5C%5C+b_3+%26+c_3%5Cend%7Barray%7D%5Cright%7C+-+b_1%5Cleft%7C%5Cbegin%7Barray%7D%7Bcc%7Da_2+%26+c_2+%5C%5C+a_3+%26+c_3%5Cend%7Barray%7D%5Cright%7C+%2B+c_1%5Cleft%7C%5Cbegin%7Barray%7D%7Bcc%7Da_2+%26+b_2+%5C%5C+a_3+%26+b_3%5Cend%7Barray%7D%5Cright%7C%5C+%5Ccdots%288%29&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle a_1\\left|\\begin{array}{cc}b_2 &amp; c_2 \\\\ b_3 &amp; c_3\\end{array}\\right| - b_1\\left|\\begin{array}{cc}a_2 &amp; c_2 \\\\ a_3 &amp; c_3\\end{array}\\right| + c_1\\left|\\begin{array}{cc}a_2 &amp; b_2 \\\\ a_3 &amp; b_3\\end{array}\\right|\\ \\cdots(8)' title='\\displaystyle a_1\\left|\\begin{array}{cc}b_2 &amp; c_2 \\\\ b_3 &amp; c_3\\end{array}\\right| - b_1\\left|\\begin{array}{cc}a_2 &amp; c_2 \\\\ a_3 &amp; c_3\\end{array}\\right| + c_1\\left|\\begin{array}{cc}a_2 &amp; b_2 \\\\ a_3 &amp; b_3\\end{array}\\right|\\ \\cdots(8)' class='latex' \/><\/p>\n<p>\u3000\u3053\u3053\u3067\u5f37\u8abf\u3057\u3066\u304a\u304d\u305f\u3044\u3053\u3068\u306f\uff0ca<sub>1<\/sub>, b<sub>1<\/sub>, c<sub>1<\/sub> \u306f 1 \u884c\u76ee\u306e\u8981\u7d20\u3067\u3042\u308a\uff0c\u5bfe\u5fdc\u3059\u308b 2 \u6b21\u306e\u884c\u5217\u5f0f\u306f 3 \u6b21\u306e\u884c\u5217\u5f0f\u304b\u3089\u305d\u306e\u8981\u7d20\u304c\u73fe\u308c\u308b\u884c\u3068\u5217\u3092\u9664\u53bb\u3057\u3066\u5f97\u3089\u308c\u307e\u3059\uff0e<\/p>\n<p><iframe src=\"\/\/rcm-fe.amazon-adsystem.com\/e\/cm?lt1=_blank&#038;bc1=000000&#038;IS2=1&#038;bg1=FFFFFF&#038;fc1=000000&#038;lc1=0000FF&#038;t=fujiitoshiki-22&#038;o=9&#038;p=8&#038;l=as4&#038;m=amazon&#038;f=ifr&#038;ref=ss_til&#038;asins=0071635408\" style=\"width:120px;height:240px;\" scrolling=\"no\" marginwidth=\"0\" marginheight=\"0\" frameborder=\"0\"><\/iframe><\/p>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>\u3000\u3053\u308c\u3089\u306f xy \u5e73\u9762\u306b\u304a\u3051\u308b 2 \u672c\u306e\u76f4\u7dda\u3092\u793a\u3057\u3066\u304a\u308a\uff0c\u4e00\u822c\u306b (x, y) \u5ea7\u6a19\u3067\u4ea4\u308f\u308b 1 \u70b9\u306b\u304a\u3044\u3066\u540c\u6642\u306b\u89e3\u304c\u5f97\u3089\u308c\u307e\u3059\uff0e \u3000\u3053\u308c\u3092\u884c\u5217\u5f0f\u3067\u8868\u73fe\u3059\u308b\u306e\u306f\u4fbf\u5229\u3067\u3059\uff0e \u30002 \u6b21\u306e\u884c\u5217\u5f0f\u306f\u6b21\u306e\u3088\u3046\u306b\u5b9a\u7fa9\u3057\u307e\u3059\uff0e \u3000\u5f37\u8abf &hellip; 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