{"id":11206,"date":"2022-11-23T00:47:39","date_gmt":"2022-11-22T15:47:39","guid":{"rendered":"https:\/\/hatsudy.com\/jp\/?p=11206"},"modified":"2022-11-25T17:58:40","modified_gmt":"2022-11-25T08:58:40","slug":"circle-equations","status":"publish","type":"post","link":"https:\/\/hatsudy.com\/jp\/circle-equations.html","title":{"rendered":"\u5186\u306e\u65b9\u7a0b\u5f0f\uff1a\u57fa\u672c\u5f62\u30fb\u4e00\u822c\u5f62\u306e\u516c\u5f0f\u3068\u4e2d\u5fc3\u3001\u534a\u5f84\u306e\u6c42\u3081\u65b9"},"content":{"rendered":"\n<p>\u7279\u5b9a\u306e\u56f3\u5f62\u3092\u8868\u3059\u3068\u304d\u3001\u65b9\u7a0b\u5f0f\u3092\u4f5c\u308c\u308b\u3088\u3046\u306b\u306a\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u3067\u3042\u308c\u3070\u3001\\(y=ax+b\\)\u3092\u5229\u7528\u3057\u307e\u3059\u3002\u305d\u308c\u3067\u306f\u3001\u5186\u306e\u65b9\u7a0b\u5f0f\u306f\u3069\u306e\u3088\u3046\u306b\u8868\u305b\u3070\u3044\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<p>\u5186\u306e\u65b9\u7a0b\u5f0f\u306f\\((x-a)^2+(y-b)^2=r^2\\)\u306b\u3088\u3063\u3066\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3053\u306e\u516c\u5f0f\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u5186\u306e\u534a\u5f84\u3068\u5ea7\u6a19\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u307e\u305f\u3001\u4e00\u822c\u5f62\\(\\)\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u3082\u5186\u306e\u65b9\u7a0b\u5f0f\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u305d\u3053\u3067\u6761\u4ef6\u304c\u4e0e\u3048\u3089\u308c\u305f\u3068\u304d\u3001\u3069\u306e\u3088\u3046\u306a\u5186\u3092\u8868\u3057\u3066\u3044\u308b\u306e\u304b\u8a08\u7b97\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002\u5186\u306e\u4e00\u822c\u5f62\u3092\u57fa\u672c\u5f62\u3078\u5909\u5f62\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u5186\u306e\u534a\u5f84\u3068\u5ea7\u6a19\u3092\u5f97\u308b\u3053\u3068\u3082\u91cd\u8981\u3067\u3059\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\u3001\u3069\u306e\u3088\u3046\u306b\u5186\u306e\u65b9\u7a0b\u5f0f\u3092\u5229\u7528\u3057\u3066\u8a08\u7b97\u3059\u308c\u3070\u3044\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u516c\u5f0f\u306e\u5229\u7528\u6cd5\u3084\u8a3c\u660e\u3001\u7df4\u7fd2\u554f\u984c\u3092\u542b\u3081\u3066\u89e3\u8aac\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<h2>\u5186\u306e\u65b9\u7a0b\u5f0f\u306e\u516c\u5f0f\uff1a\u57fa\u672c\u5f62\u306e\u516c\u5f0f\u3068\u8a3c\u660e<\/h2>\n<p>\u307e\u305a\u3001\u5186\u306e\u65b9\u7a0b\u5f0f\u3092\u899a\u3048\u307e\u3057\u3087\u3046\u3002\u70b9\\((a,b)\\)\u3092\u4e2d\u5fc3\u3068\u3059\u308b\u3001\u534a\u5f84\\(r\\)\u306e\u5186\u306e\u65b9\u7a0b\u5f0f\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\((x-a)^2+(y-b)^2=r^2\\)<\/li>\n<\/ul>\n<p>\u4f8b\u3048\u3070\u5186\u306e\u4e2d\u5fc3\u304c\\((3,-2)\\)\u3067\u3042\u308a\u3001\u534a\u5f844\u306e\u5186\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\((x-3)^2+(y+2)^2=16\\)<\/li>\n<\/ul>\n<p>\u305d\u308c\u3067\u306f\u3001\u306a\u305c\u3053\u306e\u516c\u5f0f\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u3067\u5186\u3092\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u308b\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u8a3c\u660e\u65b9\u6cd5\u306f\u7c21\u5358\u3067\u3042\u308a\u3001\u5186\u306e\u534a\u5f84\\(r\\)\u3092\u8a08\u7b97\u3059\u308b\u3068\u304d\u3001\u4ee5\u4e0b\u306e\u5f0f\u3092\u4f5c\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(\\sqrt{(x-a)^2+(y-b)^2}=r\\)<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/11\/ihg9.jpg\" alt=\"\" width=\"429\" height=\"317\" class=\"aligncenter size-full wp-image-11207\" \/><\/p>\n<p>\u305d\u3053\u3067\u3001\u4e21\u8fba\u3092\u4e8c\u4e57\u3057\u307e\u3057\u3087\u3046\u3002\u305d\u3046\u3059\u308b\u3068\u3001\u5148\u307b\u3069\u8a18\u3057\u305f\u516c\u5f0f\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<h3>\u5186\u306e\u65b9\u7a0b\u5f0f\u306e\u8a08\u7b97\u65b9\u6cd5\uff1a\u4e2d\u5fc3\u3068\u5186\u4e0a\u306e\u70b9\u304c\u308f\u304b\u3063\u3066\u3044\u308b<\/h3>\n<p>\u305d\u308c\u3067\u306f\u3001\u5186\u306e\u65b9\u7a0b\u5f0f\u3092\u8a08\u7b97\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u554f\u984c\u306e\u7b54\u3048\u306f\u4f55\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>\u4e2d\u5fc3\u304c\\((1,2)\\)\u3067\u3042\u308a\u3001\u70b9\\((5,5)\\)\u3092\u901a\u308b\u5186\u306e\u65b9\u7a0b\u5f0f\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/li>\n<\/ul>\n<p>\u4e2d\u5fc3\u306f\\((1,2)\\)\u3067\u3042\u308b\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u5f0f\u3092\u4f5c\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\((x-1)^2+(y-2)^2=r^2\\)<\/li>\n<\/ul>\n<p>\u307e\u305f\u70b9\\((5,5)\\)\u3092\u901a\u308b\u305f\u3081\u3001\u3053\u306e\u5f0f\u306b\u4ee3\u5165\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\((5-1)^2+(5-2)^2=r^2\\)<\/p>\n<p>\\(16+9=r^2\\)<\/p>\n<p>\\(r^2=25\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u5186\u306e\u65b9\u7a0b\u5f0f\u306f\\((x-1)^2+(y-2)^2=25\\)\u3068\u308f\u304b\u308a\u307e\u3057\u305f\u3002<\/p>\n<h2>\u4e00\u822c\u5f62\u306e\u5186\u306e\u65b9\u7a0b\u5f0f<\/h2>\n<p>\u3053\u3053\u307e\u3067\u3001\u5186\u306e\u65b9\u7a0b\u5f0f\u306e\u57fa\u672c\u5f62\u3092\u89e3\u8aac\u3057\u3066\u304d\u307e\u3057\u305f\u3002\u6b21\u306b\u3001\u5186\u306e\u65b9\u7a0b\u5f0f\u306e\u4e00\u822c\u5f62\u3092\u5b66\u3073\u307e\u3057\u3087\u3046\u3002\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u3067\u3042\u308c\u3070\u3001\\(y=ax+b\\)\u304c\u57fa\u672c\u5f62\u3067\u3042\u308a\u3001\\(ax+by+c=0\\)\u304c\u4e00\u822c\u5f62\u3067\u3059\u3002\u5186\u306e\u65b9\u7a0b\u5f0f\u306b\u3064\u3044\u3066\u3082\u3001\u540c\u3058\u3088\u3046\u306b\u4e00\u822c\u5f62\u304c\u5b58\u5728\u3057\u307e\u3059\u3002<\/p>\n<p>\u5186\u306e\u65b9\u7a0b\u5f0f\u306e\u4e00\u822c\u5f62\u306f\u4ee5\u4e0b\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(x^2+y^2+ax+by+c=0\\)<\/li>\n<\/ul>\n<p>\u5186\u306e\u65b9\u7a0b\u5f0f\u3067\u4e00\u822c\u5f62\u306f\u7279\u6b8a\u3067\u3042\u308a\u3001\u4e00\u822c\u5f62\u3092\u78ba\u8a8d\u3057\u3066\u3082\u5186\u306e\u534a\u5f84\u3068\u4e2d\u5fc3\u5ea7\u6a19\u306f\u308f\u304b\u308a\u307e\u305b\u3093\u3002\u305f\u3060\u5186\u3092\u8868\u3059\u65b9\u7a0b\u5f0f\u3067\u3042\u308b\u305f\u3081\u3001\u3053\u306e\u5f0f\u3067\u8a18\u3057\u3066\u3082\u6b63\u89e3\u3067\u3059\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\u3001\u3069\u306e\u3088\u3046\u306a\u3068\u304d\u306b\u5186\u306e\u4e00\u822c\u5f62\u3092\u5229\u7528\u3059\u308b\u306e\u3067\u3057\u3087\u3046\u304b\u3002<span style=\"color: #0000ff;\">3\u3064\u306e\u70b9\u304c\u4e0e\u3048\u3089\u308c\u3066\u304a\u308a\u30013\u70b9\u3092\u901a\u308b\u5186\u306e\u65b9\u7a0b\u5f0f\u3092\u5f97\u305f\u3044\u5834\u5408\u306f\u4e00\u822c\u5f62\u3092\u7528\u3044\u307e\u3057\u3087\u3046\u3002<\/span>\u4ee5\u4e0b\u306e\u554f\u984c\u306e\u7b54\u3048\u306f\u4f55\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>3\u70b9A\\((2,3)\\)\u3001B\\((2,1)\\)\u3001C\\((4,1)\\)\u3092\u9802\u70b9\u3068\u3059\u308b\u25b3ABC\u306e\u5916\u63a5\u5186\u306e\u65b9\u7a0b\u5f0f\u3092\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/li>\n<\/ul>\n<p>\u25b3ABC\u306e\u5916\u63a5\u5186\u306e\u65b9\u7a0b\u5f0f\u3068\u306f\u3001\u8981\u306f3\u70b9\u3092\u901a\u308b\u5186\u306e\u65b9\u7a0b\u5f0f\u3092\u8a08\u7b97\u3059\u308c\u3070\u3044\u3044\u3067\u3059\u3002\u5186\u306e\u4e2d\u5fc3\u3068\u534a\u5f84\u306f\u308f\u304b\u3063\u3066\u3044\u306a\u3044\u305f\u3081\u3001\u4e00\u822c\u5f62\u306e\u5f0f\u306b\u4ee3\u5165\u3057\u305f\u5f8c\u3001\u9023\u7acb\u65b9\u7a0b\u5f0f\u3092\u89e3\u304f\u3053\u3068\u3067\u7b54\u3048\u3092\u5f97\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>A\\((2,3)\\)\u3088\u308a\uff1a\\(2a+3b+13+c=0\\) &#8211; \u2460<\/li>\n<li>B\\((2,1)\\)\u3088\u308a\uff1a\\(2a+b+5+c=0\\) &#8211; \u2461<\/li>\n<li>C\\((4,1)\\)\u3088\u308a\uff1a\\(4a+b+17+c=0\\) &#8211; 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loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/11\/ihg10.jpg\" alt=\"\" width=\"341\" height=\"294\" class=\"aligncenter size-full wp-image-11209\" 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loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/11\/ihg11.jpg\" alt=\"\" width=\"361\" height=\"295\" class=\"aligncenter size-full wp-image-11210\" 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