{"id":5969,"date":"2021-10-14T13:21:00","date_gmt":"2021-10-14T04:21:00","guid":{"rendered":"https:\/\/yorozu.cloudfree.jp\/wordpress\/?p=5969"},"modified":"2025-04-06T19:06:16","modified_gmt":"2025-04-06T10:06:16","slug":"%e8%bf%91%e4%bc%bc%e5%80%a4%e3%81%ae%e6%b1%82%e3%82%81%e6%96%b9","status":"publish","type":"post","link":"https:\/\/yorozu.cloudfree.jp\/wordpress\/?p=5969","title":{"rendered":"\u8fd1\u4f3c\u5024\u306e\u6c42\u3081\u65b9"},"content":{"rendered":"\n

\uff11\uff0e\u30aa\u30a4\u30e9\u30fc\u6cd5<\/strong><\/h4>\n\n\n\n

\u3000\u5e38\u5fae\u5206\u65b9\u7a0b\u5f0f\u306e\u6570\u5024\u89e3\u6cd5\u306e\u4e00\u3064
\u3000\u3000\u3000\u6570\u5b66\u7684\u306b\u7406\u89e3\u3057\u3084\u3059\u304f\u3001\u30d7\u30ed\u30b0\u30e9\u30e0\u7684\u306b\u3082\u7c21\u5358
\u3000\u3000\u3000\u6570\u5024\u89e3\u6790\u306e\u521d\u6b69\u7684\u306a\u5b66\u7fd2\u554f\u984c\u3068\u3057\u3066\u3088\u304f\u53d6\u308a\u3042\u3052\u3089\u308c\u308b

\u3000\u3000\u3000\u5e38\u5fae\u5206\u65b9\u7a0b\u5f0f\u306b\u521d\u671f\u6761\u4ef6\u3092\u4e0e\u3048\u308b\u3053\u3068\u3067\uff0c
\u3000\u3000\u3000\u3000\u3000\u672a\u77e5\u6570\u3092\u542b\u307e\u306a\u3044\u5f62\u3067\u66f8\u3051\u308b\u3088\u3046\u306a\u554f\u984c\u3092\u300c\u521d\u671f\u5024\u554f\u984c\u300d\u3068\u547c\u3073
\u3000\u3000\u3000\u3000\u3000\u5fae\u5206\u65b9\u7a0b\u5f0f\u306e\u6570\u5024\u89e3\u6cd5\u306f\u521d\u671f\u5024\u554f\u984c\u3092\u89e3\u304f\u3053\u3068\u3092\u76ee\u7684\u3068\u3059\u308b<\/p>\n\n\n\n

\"\"<\/a><\/figure>\n\n\n\n

\u3000\u3000\u3000x0 \u304b\u3089 x1 \u306e\u3088\u3046\u306a\u5e45\u304c\u523b\u307f\u5e45\u306b\u76f8\u5f53\u3059\u308b\u533a\u9593\u306b\u304a\u3044\u3066\uff0c
\u3000\u3000\u3000\u50be\u304d\u304c f(x0,y0) \u3067\u4e00\u5b9a\u3067\u3042\u308b\u3068\u4eee\u5b9a\u3057\u3066\u8fd1\u4f3c\u89e3\u3092\u6c42\u3081\u308b
\u3000\u3000\u3000\u3000\u3000\u50be\u304d\u306f\u4e00\u5b9a\u3067\u306f\u7121\u3044\uff0c\u8fd1\u4f3c\u304c\u6b63\u78ba\u3068\u306a\u308a\u3046\u308b\u306e\u306f\uff0ch\u21920 \u306e\u6975\u9650\u306e\u307f<\/p>\n\n\n\n

\uff12\uff0e\u30ac\u30a6\u30b9\u306e\u6d88\u53bb\u6cd5<\/strong><\/h4>\n\n\n\n

\u3000\u9023\u7acb\u4e00\u6b21\u65b9\u7a0b\u5f0f\u3092\u89e3\u304f\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u4e00\u3064
\u3000\u3000\u3000\u62e1\u5927\u4fc2\u6570\u884c\u5217\u3092\u884c\u57fa\u672c\u5909\u5f62\u3059\u308b\u3053\u3068\u3067\u89e3\u3092\u6c42\u3081\u308b
\u3000\u3000\u3000\u6383\u304d\u51fa\u3057\u6cd5\u3068\u3082\u547c\u3070\u308c\u308b

\u3000\u30ac\u30a6\u30b9\u306e\u6d88\u53bb\u6cd5\u306f
\u3000\u3000\u3000\u524d\u9032\u6d88\u53bb<\/strong>\uff08\u6587\u5b57\u30921\u3064\u305a\u3064\u6d88\u3057\u3066\u3044\u304f\u64cd\u4f5c\uff09
\u3000\u3000\u3000\u3000\u3000\u65b9\u7a0b\u5f0f\u306e\u5b9a\u6570\u500d\u3092\u4ed6\u306e\u65b9\u7a0b\u5f0f\u306b\u52a0\u3048\u308b\u3053\u3068\u3067\u6587\u5b57\u3092\u9806\u756a\u306b\u6d88\u3057\u3066\u3044\u304f

\u3000\u3000\u3000\u3000\u3000\u5143\u306e\u5f0f<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u4e00\u756a\u76ee\u306e\u5f0f\u3092 \u22121 \u500d\u3057\u4e8c\u756a\u76ee\u306e\u5f0f\u306b\u52a0\u3048\u308b
\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u4e00\u756a\u76ee\u306e\u5f0f\u306e \u22122 \u500d\u3092\u4e09\u756a\u76ee\u306e\u5f0f\u306b\u52a0\u3048\u308b<\/p>\n\n\n\n

\u3000\u3000\u3000\u3000\u3000\u8a08\u7b97\u3059\u308b\uff08x<\/em>1\u200b\u3092\u6d88\u3059\uff09<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u4e8c\u756a\u76ee\u306e\u5f0f\u3092 1\uff0f\uff13 \u500d\u3057\u4e09\u756a\u76ee\u306e\u5f0f\u306b\u52a0\u3048\u308b

\u3000\u3000\u3000\u3000\u3000\u8a08\u7b97\u3059\u308b\uff08x<\/em>2\u200b\u3092\u6d88\u3059\uff09<\/p>\n\n\n\n

\"\"<\/a><\/figure>\n\n\n\n

\u3000\u3000\u3000\u3000\u3000\u3053\u308c\u3067\u300c\u76ee\u6a19\u306e\u5f62\u300dx<\/em>3\uff1d2\u304c\u6c42\u307e\u308b

\u3000\u3000\u3000\u5f8c\u9000\u4ee3\u5165<\/strong>\uff081\u6210\u5206\u305a\u3064\u7b54\u3048\u3092\u6c42\u3081\u3066\u3044\u304f\u64cd\u4f5c\uff09
\u3000\u3000\u3000\u3000\u3000\u5f8c\u308d\u306e\u5f0f\u304b\u3089\u9806\u756a\u306b\u305f\u3069\u3063\u3066\u3044\u304d\uff0c1\u3064\u305a\u3064\u5909\u6570\u306e\u5024\u3092\u6c42\u3081\u3066\u3044\u304f
\u3000\u3000\u3000\u3000\u3000\u3000\u3000x<\/em>3\uff1d2\u3092\u4e8c\u756a\u76ee\u306e\u5f0f\u306b\u4ee3\u5165\u3059\u308b\u3000\u22123*x<\/em>2 + 5x2<\/em> \u200b= 1
\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000 x<\/em>2\uff1d3
\u3000\u3000\u3000\u3000\u3000\u3000\u3000x<\/em>2\uff1d3\u3001x<\/em>3\uff1d2\u3092\u4e00\u756a\u76ee\u306e\u6307\u63ee\u306b\u4ee3\u5165\u3059\u308b\u3000x<\/em>1 + 2*3 -2*2 = 3
\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000 x<\/em>1 = 1
\u3000\u3000\u3000\u3053\u308c\u3067x<\/em>1 = 1\u3001x<\/em>2\uff1d3\u3001x<\/em>3\uff1d2\u304c\u6c42\u307e\u308b<\/p>\n\n\n\n

\uff13\uff0e\u30b7\u30f3\u30d7\u30bd\u30f3\u6cd5<\/strong><\/h4>\n\n\n\n

\u3000\u533a\u5206\u6c42\u7a4d\u6cd5
\u3000\u3000\u3000\u3088\u308a\u6b21\u6570\u306e\u9ad8\u3044\u95a2\u6570\u3067\u8fd1\u4f3c\u3067\u304d\u305f\u65b9\u304c\u8aa4\u5dee\u304c\u6e1b\u5c11\u3059\u308b\u53ef\u80fd\u6027\u304c\u3042\u308b
\u3000\u3000\u3000\u3000\u3000\uff12\u6b21\u95a2\u6570\u3092\u8868\u73fe\u3059\u308b\u5834\u5408\u306b\u306f\uff13\u70b9\u3092\u5229\u7528\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\uff0c
\u3000\u3000\u3000\u3000\u3000\uff12\u3064\u306e\u533a\u5206\u3092\u5229\u7528\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b<\/p>\n\n\n\n

\"\"<\/a><\/figure>\n\n\n\n
$$\u3000\uff13\u70b9\u3092\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8003\u3048\u308b\u3000x_{0}\u3001x_{1 }\u3001x_{2 }\uff0c\u305d\u306e\u95a2\u6570\u5024\u3092f_{0}\u3001f_{1 }\u3001f_{2}\u3000$$<\/td><\/tr>
$$\u3000\uff12\u6b21\u95a2\u6570\u304cx_{0}\u3067f_{0}\u3092\u901a\u308b\u3053\u3068\u304b\u3089\uff0c\u3000$$<\/td><\/tr>
$$\u3000\uff12\u6b21\u95a2\u6570\u306e\u4fc2\u6570\u3092a,b,c(=f_{0})\u3068\u3057\u3000f_{x}=a(x\u2212\uff58_{0})^2+b(x\u2212\uff58_{0})+f_{0}\u3000$$<\/td><\/tr>
\u3000\u540c\u6642\u306b\u4ed6\u306e\uff12\u70b9\u3092\u901a\u308b\u3068\u3044\u3046\u3053\u3068\u304b\u3089<\/td><\/tr>
\\begin{equation}
f_1 = a(x_1-x_0)^2+b(x_1-x_0)+f_0
\\end{equation}<\/td><\/tr>
\\begin{equation}
f_2 = a(x_2-x_0)^2+b(x_2-x_0)+f_0
\\end{equation}<\/td><\/tr>
$$ x_1-x_0=h\u3001 x_2-x_0=2h\u3092\u4ee3\u5165\u3057\u3066\u8a08\u7b97\u3059\u308b\u3068\u3000$$<\/td><\/tr>
\u4ee5\u4e0b\u306e\u3088\u3046\u306aa\u3068b\u306b\u95a2\u3059\u308b\u9023\u7acb\u65b9\u7a0b\u5f0f\u3068\u306a\u308b<\/td><\/tr>
\\begin{equation}
\\large a=\\frac{f_0-2f_1+f_2}{2h^2}\u3001\\quad b = \\frac{-3f_0+4f_1-f_2}{2h}
\\end{equation}<\/td><\/tr>
<\/td><\/tr>
\u5143\u306e\uff12\u6b21\u9593\u6570<\/td><\/tr>
\\begin{equation}
f(x) = a(x-x_0)^2+b(x-x_0)+f_0\\label{fx}
\\end{equation}<\/td><\/tr>
$$ \u95a2\u6570\u3092x_0\u3001x_2\u3067\u7a4d\u5206\u3059\u308b\u3000$$<\/td><\/tr>
\\begin{eqnarray}
I&=&\\int_{x_0}^{x_2}\\left( a(x-x_0)^2+b(x-x_0)+f_0 \\right)dx \\nonumber \\\\
&=& \\left[ \\frac{1}{3}a\\left( x-x_0 \\right)^3 + \\frac{1}{2}b\\left( x-x_0 \\right)^2 +f_0x\\right]_{x_0}^{x_2}\\nonumber \\\\
&=& \\frac{1}{3}a\\left( x_2-x_0 \\right)^3 + \\frac{1}{2}b\\left( x_2-x_0 \\right)^2 +f_0(x_2-x_0)\\nonumber \\\\
&=& \\frac{1}{3}\\frac{f_0-2f_1+f_2}{2h^2}8h^3 + \\frac{1}{2}\\frac{-3f_0+4f_1-f_2}{2h}4h^2 +2f_0h\\nonumber \\\\
&=& {\\large \\frac{h}{3}\\left( f_0+4f_1+f_2 \\right)}
\\end{eqnarray}<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

\uff14\uff0e\u30cb\u30e5\u30fc\u30c8\u30f3\u6cd5<\/strong><\/h4>\n\n\n\n

\u3000\u65b9\u7a0b\u5f0f\u306e\u89e3\u3092\u6570\u5024\u8a08\u7b97\u306b\u3088\u3063\u3066\u8fd1\u4f3c\u7684\u306b\u6c42\u3081\u308b
\u3000\u3000\u3000\u30cb\u30e5\u30fc\u30c8\u30f3\u30fb\u30e9\u30d5\u30bd\u30f3\u6cd5\u3068\u3082\u547c\u3070\u308c\u308b<\/p>\n\n\n\n

\"\"<\/a><\/figure>\n\n\n\n
\uff12\u6b21\u65b9\u7a0b\u5f0f<\/td><\/tr>
$$\u3000y=x^2-2\u3000$$<\/td><\/tr>
x=a\u306b\u304a\u3051\u308b\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u6c42\u3081\u308b<\/td><\/tr>
$$\u3000y=2ax-a^2-2\u3000$$<\/td><\/tr>
y=0\u3092\u4ee3\u5165<\/td><\/tr>
$$\u30000=2ax-a^2-2\u3000$$<\/td><\/tr>
$$\u30002ax=a^2+2\u3000$$<\/td><\/tr>
$$\u3000x=\\frac{1}{2a}(a^2+2)\u3000$$<\/td><\/tr>
$$\u3000x=\\frac{1}{2}(a+\\frac{2}{a})\u3000$$<\/td><\/tr><\/tbody><\/table><\/figure>\n","protected":false},"excerpt":{"rendered":"

\u30fb\u8fd1\u4f3c\u5024\u306e\u6c42\u3081\u65b9<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[39],"tags":[50],"class_list":["post-5969","post","type-post","status-publish","format-standard","hentry","category-22_","tag-50"],"_links":{"self":[{"href":"https:\/\/yorozu.cloudfree.jp\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/5969","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/yorozu.cloudfree.jp\/wordpress\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/yorozu.cloudfree.jp\/wordpress\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/yorozu.cloudfree.jp\/wordpress\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/yorozu.cloudfree.jp\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=5969"}],"version-history":[{"count":134,"href":"https:\/\/yorozu.cloudfree.jp\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/5969\/revisions"}],"predecessor-version":[{"id":6144,"href":"https:\/\/yorozu.cloudfree.jp\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/5969\/revisions\/6144"}],"wp:attachment":[{"href":"https:\/\/yorozu.cloudfree.jp\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=5969"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/yorozu.cloudfree.jp\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=5969"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/yorozu.cloudfree.jp\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=5969"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}