{"id":11877,"date":"2022-12-25T22:36:15","date_gmt":"2022-12-25T13:36:15","guid":{"rendered":"https:\/\/hatsudy.com\/jp\/?p=11877"},"modified":"2022-12-30T08:11:52","modified_gmt":"2022-12-29T23:11:52","slug":"vector-11","status":"publish","type":"post","link":"https:\/\/hatsudy.com\/jp\/vector-11.html","title":{"rendered":"\u7403\u9762\u306e\u65b9\u7a0b\u5f0f\uff1a\u516c\u5f0f\u3084\u534a\u5f84\u306e\u6c42\u3081\u65b9\u3001\u30d9\u30af\u30c8\u30eb\u65b9\u7a0b\u5f0f"},"content":{"rendered":"\n<p>\u5e73\u9762\u3067\u4f5c\u308b\u3053\u3068\u306e\u3067\u304d\u308b\u56f3\u5f62\u306b\u5186\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u306e\u3068\u304d\u3001\u5186\u3092\u7a7a\u9593\u56f3\u5f62\u3067\u8868\u3059\u3068\u7403\u306b\u306a\u308a\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u7403\u9762\u306e\u65b9\u7a0b\u5f0f\u3092\u5229\u7528\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u7403\u9762\u306e\u65b9\u7a0b\u5f0f\u306b\u306f\u3001\u6a19\u6e96\u5f62\u3068\u4e00\u822c\u5f62\u306e2\u3064\u306e\u8868\u3057\u65b9\u304c\u3042\u308a\u307e\u3059\u3002\u3069\u3061\u3089\u306e\u65b9\u6cd5\u3092\u5229\u7528\u3057\u3066\u3082\u3044\u3044\u3067\u3059\u304c\u3001\u5f0f\u3092\u78ba\u8a8d\u3059\u308b\u3053\u3068\u3067\u4e2d\u5fc3\u5ea7\u6a19\u3084\u534a\u5f84\u304c\u308f\u304b\u308b\u3088\u3046\u306b\u306a\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u306a\u304a\u7a7a\u9593\u5ea7\u6a19\u3092\u5229\u7528\u3059\u308b\u5834\u5408\u3001\u30d9\u30af\u30c8\u30eb\u3092\u5229\u7528\u3057\u3066\u8a08\u7b97\u3059\u308b\u3053\u3068\u3082\u591a\u3044\u3067\u3059\u3002\u305d\u3053\u3067\u3001\u7403\u9762\u306e\u30d9\u30af\u30c8\u30eb\u65b9\u7a0b\u5f0f\u3092\u7528\u3044\u3066\u3001\u7403\u9762\u306e\u65b9\u7a0b\u5f0f\u3092\u8a08\u7b97\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002\u516c\u5f0f\u306f\u5186\u306e\u30d9\u30af\u30c8\u30eb\u65b9\u7a0b\u5f0f\u3068\u540c\u3058\u3067\u3042\u308b\u305f\u3081\u3001\u516c\u5f0f\u3092\u65b0\u305f\u306b\u899a\u3048\u308b\u5fc5\u8981\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\u3001\u3069\u306e\u3088\u3046\u306b\u7403\u9762\u306e\u65b9\u7a0b\u5f0f\u3092\u5229\u7528\u3059\u308c\u3070\u3044\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u516c\u5f0f\u3084\u534a\u5f84\u306e\u6c42\u3081\u65b9\u3001\u7403\u9762\u306e\u30d9\u30af\u30c8\u30eb\u65b9\u7a0b\u5f0f\u306b\u3064\u3044\u3066\u89e3\u8aac\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<h2>\u7a7a\u9593\u5ea7\u6a19\u3067\u306e\u7403\u9762\u306e\u65b9\u7a0b\u5f0f\uff1a\u6a19\u6e96\u5f62\u306e\u516c\u5f0f<\/h2>\n<p>\u7403\u9762\u306e\u65b9\u7a0b\u5f0f\u3092\u5b66\u3076\u524d\u306b\u3001\u5186\u306e\u65b9\u7a0b\u5f0f\u3092\u5fa9\u7fd2\u3057\u307e\u3057\u3087\u3046\u3002\u5186\u306e\u4e2d\u5fc3\u3092\\((a,b)\\)\u3001\u534a\u5f84\u3092\\(r\\)\u3068\u3059\u308b\u3068\u304d\u3001\u5186\u306e\u65b9\u7a0b\u5f0f\u3092\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\((x-a)^2+(y-b)^2=r^2\\)<\/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>\u3053\u306e\u3068\u304d\u3001\u7403\u9762\u306e\u65b9\u7a0b\u5f0f\u3068\u5186\u306e\u65b9\u7a0b\u5f0f\u306f\u4f3c\u3066\u3044\u307e\u3059\u3002<span style=\"color: #0000ff;\">\u7403\u3067\u306f\u7acb\u4f53\u56f3\u5f62\u306b\u306a\u308b\u305f\u3081\u3001\\(z\\)\u5ea7\u6a19\u3092\u52a0\u3048\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/span>\u305d\u3053\u3067\u7403\u306e\u4e2d\u5fc3\u3092\\((a,b,c)\\)\u3001\u534a\u5f84\u3092\\(r\\)\u3068\u3059\u308b\u3068\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u7403\u9762\u306e\u65b9\u7a0b\u5f0f\u3092\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\((x-a)^2+(y-b)^2+(z-c)^2=r^2\\)<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/12\/sgqj5.jpg\" alt=\"\" width=\"232\" height=\"179\" class=\"aligncenter size-full wp-image-11878\" \/>\u4f8b\u3048\u3070\u7403\u306e\u4e2d\u5fc3\u304c\\((2,1,3)\\)\u3001\u534a\u5f84\u304c\\(3\\)\u306e\u5834\u5408\u3001\u7403\u9762\u306e\u65b9\u7a0b\u5f0f\u306f\u4ee5\u4e0b\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\((x-2)^2+(y-1)^2+(z-3)^2=9\\)<\/li>\n<\/ul>\n<p>\u305d\u308c\u3067\u306f\u3001\u4ee5\u4e0b\u306e\u554f\u984c\u3092\u89e3\u3044\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\n<li>\u70b9A\\((2,1,1)\\)\u3092\u901a\u308a\u30013\u3064\u306e\u5ea7\u6a19\u5e73\u9762\u306b\u63a5\u3059\u308b\u7403\u9762\u306e\u65b9\u7a0b\u5f0f\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/li>\n<\/ul>\n<p>3\u3064\u306e\u5ea7\u6a19\u5e73\u9762\uff08\\(x\\)\u8ef8\u3001\\(y\\)\u8ef8\u3001\\(z\\)\u8ef8\uff09\u306b\u63a5\u3059\u308b\u305f\u3081\u3001\u7403\u306e\u4e2d\u5fc3\u5ea7\u6a19\u306f\\((r,r,r)\\)\u3067\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/12\/sgqj7.jpg\" alt=\"\" width=\"349\" height=\"283\" class=\"aligncenter size-full wp-image-11880\" \/><\/p>\n<p>\u305d\u306e\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u5f0f\u3092\u4f5c\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\((x-r)^2+(y-r)^2+(z-r)^2=r^2\\)<\/li>\n<\/ul>\n<p>\u3053\u306e\u7403\u306f\u70b9A\\((2,1,1)\\)\u3092\u901a\u308b\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u4ee3\u5165\u3057\u3066\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\((2-r)^2+(1-r)^2+(1-r)^2=r^2\\)<\/p>\n<p>\\(3r^2-8r+6=r^2\\)<\/p>\n<p>\\(2r^2-8r+6=0\\)<\/p>\n<p>\\(r^2-4r+3=0\\)<\/p>\n<p>\\((r-1)(r-3)=0\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\\(r=1,3\\)\u3068\u308f\u304b\u308a\u307e\u3057\u305f\u3002\u3064\u307e\u308a\u3001\u4ee5\u4e0b\u306e2\u3064\u304c\u7b54\u3048\u3067\u3059\u3002<\/p>\n<ul>\n<li>\\((x-1)^2+(y-1)^2+(z-1)^2=1\\)<\/li>\n<li>\\((x-3)^2+(y-3)^2+(z-3)^2=9\\)<\/li>\n<\/ul>\n<p>\u7403\u9762\u306e\u65b9\u7a0b\u5f0f\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u7b54\u3048\u3092\u5f97\u3089\u308c\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002<\/p>\n<h3>\u7403\u9762\u306e\u65b9\u7a0b\u5f0f\u3092\u4e00\u822c\u5f62\u3067\u8868\u3059<\/h3>\n<p>\u306a\u304a\u5834\u5408\u306b\u3088\u3063\u3066\u306f\u3001\u4e00\u822c\u5f62\u3092\u5229\u7528\u3057\u3066\u7403\u9762\u306e\u65b9\u7a0b\u5f0f\u3092\u8868\u3059\u3053\u3068\u3082\u3042\u308a\u307e\u3059\u3002\u5186\u306e\u65b9\u7a0b\u5f0f\u3092\u4e00\u822c\u5f62\u3067\u8868\u3059\u3068\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(x^2+y^2+ax+by+c=0\\)<\/li>\n<\/ul>\n<p>\u305d\u3053\u3067\u3001\u7403\u9762\u306e\u65b9\u7a0b\u5f0f\u3067\u306f\\(z\\)\u8ef8\u3092\u8003\u616e\u3057\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u304c\u7403\u9762\u306e\u65b9\u7a0b\u5f0f\u306e\u4e00\u822c\u5f62\u3067\u3059\u3002<\/p>\n<ul>\n<li>\\(x^2+y^2+z^2+ax+by+cz+d=0\\)<\/li>\n<\/ul>\n<p>\u5186\u306e\u65b9\u7a0b\u5f0f\u3092\u899a\u3048\u3066\u3044\u308c\u3070\u3001\u7403\u9762\u306e\u65b9\u7a0b\u5f0f\u3092\u899a\u3048\u308b\u306e\u306f\u7c21\u5358\u3067\u3059\u3002\u306a\u304a4\u70b9\u304c\u308f\u304b\u308c\u3070\u3001\u516c\u5f0f\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u4e00\u822c\u5f62\u3067\u306e\u7403\u9762\u306e\u65b9\u7a0b\u5f0f\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<h3>\u8ef8\u306b\u5782\u76f4\u306a\u5e73\u9762\u3068\u7403\u9762\u304c\u4ea4\u308f\u3063\u3066\u3067\u304d\u308b\u5186\u306e\u65b9\u7a0b\u5f0f<\/h3>\n<p>\u306a\u304a\u7403\u9762\u306e\u65b9\u7a0b\u5f0f\u3092\u5b66\u3076\u3068\u304d\u3001\u5fdc\u7528\u554f\u984c\u3092\u89e3\u3051\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002\u7403\u9762\u3068\u5e73\u9762\u306e\u4ea4\u70b9\u306b\u3088\u3063\u3066\u4f5c\u3089\u308c\u308b\u5186\u306e\u65b9\u7a0b\u5f0f\u3092\u6c42\u3081\u308b\u306e\u306f\u5fdc\u7528\u554f\u984c\u306e\u4e00\u3064\u3067\u3059\u3002<\/p>\n<p>\u307e\u305a\u3001\u8ef8\u306b\u5bfe\u3057\u3066\u5782\u76f4\u306a\u5e73\u9762\u3068\u7403\u9762\u306e\u4ea4\u70b9\u3092\u8003\u3048\u307e\u3057\u3087\u3046\u3002\u8ef8\u306b\u5bfe\u3057\u3066\u5782\u76f4\u306a\u5e73\u9762\u3067\u306f\u3001\\(x\\)\u8ef8\u3001\\(y\\)\u8ef8\u3001\\(z\\)\u8ef8\u306e\u3046\u3061\u3001\u5fc5\u305a\u3069\u308c\u304b\u306e\u5024\u304c\u56fa\u5b9a\u3055\u308c\u307e\u3059\u3002\u4f8b\u3048\u3070\\(y=2\\)\u306e\u5834\u5408\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/12\/sgqj8.jpg\" alt=\"\" width=\"350\" height=\"284\" class=\"aligncenter size-full wp-image-11881\" \/><\/p>\n<p>\u7279\u306b\u3001<span style=\"color: #ff0000;\">\u8ef8\u4e0a\u306b\u5e73\u9762\u304c\u5b58\u5728\u3059\u308b\u5834\u5408\u306f\u5024\u304c\u30bc\u30ed\u306b\u306a\u308a\u307e\u3059\u3002<\/span>\u4f8b\u3048\u3070\\(y=0\\)\u306e\u5834\u5408\u3001\\(xz\\)\u5e73\u9762\u3068\u547c\u3070\u308c\u307e\u3059\u3002\\(y=0\\)\u3067\u3042\u308b\u305f\u3081\u3001\\(x\\)\u8ef8\u3068\\(z\\)\u8ef8\u3092\u542b\u3080\u5e73\u9762\u3092\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u308b\u306e\u3067\u3059\u3002<\/p>\n<p>\u4f8b\u3048\u3070\u7403\u304c\\(xz\\)\u5e73\u9762\u3068\u4ea4\u308f\u308b\u3068\u304d\u3001\u3069\u306e\u3088\u3046\u306a\u5186\u304c\u4f5c\u3089\u308c\u308b\u3067\u3057\u3087\u3046\u304b\u3002\\(xz\\)\u5e73\u9762\u3067\u306f\u524d\u8ff0\u306e\u901a\u308a\\(y=0\\)\u3068\u306a\u308b\u305f\u3081\u3001\u7403\u9762\u306e\u516c\u5f0f\u306b\\(y=0\\)\u3092\u4ee3\u5165\u3057\u307e\u3057\u3087\u3046\u3002\u305d\u306e\u305f\u3081\u3001\u7403\u3068\\(xz\\)\u5e73\u9762\u306e\u4ea4\u70b9\u306b\u3088\u3063\u3066\u4f5c\u3089\u308c\u308b\u5186\u306e\u65b9\u7a0b\u5f0f\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\((x-a)^2+(0-b)^2+(z-c)^2=r^2\\)<\/p>\n<p>\\((x-a)^2+(z-c)^2=r^2-b^2\\)<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/12\/sgqj9.jpg\" alt=\"\" width=\"408\" height=\"282\" class=\"aligncenter size-full wp-image-11882\" \/><\/p>\n<p>\u305d\u308c\u3067\u306f\u3001\u4ee5\u4e0b\u306e\u554f\u984c\u3092\u89e3\u3044\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\n<li>\u4e2d\u5fc3\u304c\\((-1,2,3)\\)\u3067\u3042\u308a\u3001\u534a\u5f84\u304c6\u306e\u7403\u306b\u3064\u3044\u3066\u3001\\(xy\\)\u5e73\u9762\u3068\u306e\u4ea4\u70b9\u306b\u3088\u3063\u3066\u4f5c\u3089\u308c\u308b\u5186\u306e\u65b9\u7a0b\u5f0f\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/li>\n<\/ul>\n<p>\u7403\u9762\u306e\u65b9\u7a0b\u5f0f\u306f\u4ee5\u4e0b\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\((x+1)^2+(y-2)^2+(z-3)^2=36\\)<\/li>\n<\/ul>\n<p>\\(xy\\)\u5e73\u9762\u3068\u4ea4\u308f\u308b\u3068\u3044\u3046\u306e\u306f\u3001\\(z=0\\)\u3067\u3042\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002\u305d\u3053\u3067\u3001\\(z=0\\)\u3092\u4ee3\u5165\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\((x+1)^2+(y-2)^2+(0-3)^2=36\\)<\/p>\n<p>\\((x+1)^2+(y-2)^2=27\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u7403\u3068\\(xy\\)\u5e73\u9762\u306e\u4ea4\u70b9\u306b\u3088\u3063\u3066\u4f5c\u3089\u308c\u308b\u5186\u306e\u65b9\u7a0b\u5f0f\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n<h2>\u7403\u9762\u306e\u30d9\u30af\u30c8\u30eb\u65b9\u7a0b\u5f0f\u3068\u516c\u5f0f<\/h2>\n<p>\u7403\u9762\u3092\u5b66\u3076\u3068\u304d\u3001\u7403\u9762\u306e\u65b9\u7a0b\u5f0f\u3060\u3051\u3067\u306a\u304f\u3001\u7403\u9762\u306e\u30d9\u30af\u30c8\u30eb\u65b9\u7a0b\u5f0f\u3092\u5229\u7528\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002\u5ea7\u6a19\u3092\u7528\u3044\u3066\u7403\u9762\u306e\u65b9\u7a0b\u5f0f\u3092\u8868\u3059\u3060\u3051\u3067\u306a\u304f\u3001\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u7403\u306e\u6027\u8cea\u3092\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p><span style=\"color: #0000ff;\">\u7403\u9762\u306e\u30d9\u30af\u30c8\u30eb\u65b9\u7a0b\u5f0f\u306f\u5186\u306e\u30d9\u30af\u30c8\u30eb\u65b9\u7a0b\u5f0f\u3068\u516c\u5f0f\u304c\u540c\u3058\u3067\u3059\u3002<\/span>\u8981\u306f\u3001\u540c\u3058\u6982\u5ff5\u3067\u3042\u308b\u3068\u8003\u3048\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u4e2d\u5fc3\u304cC\uff08\\(\\overrightarrow{c}\\)\uff09\u3001\u534a\u5f84\uff08\u4e2d\u5fc3\u3068\u7403\u9762\u306e\u8ddd\u96e2\uff09\u304c\\(r\\)\u3001\u7403\u9762\u4e0a\u306e\u70b9\u3092P\uff08\\(\\overrightarrow{p}\\)\uff09\u3068\u3057\u307e\u3059\u3002\\(\\overrightarrow{CP}\\)\u306f\u4e2d\u5fc3C\u304b\u3089\u70b9P\u307e\u3067\u306e\u30d9\u30af\u30c8\u30eb\u3092\u8868\u3057\u307e\u3059\u3002\u307e\u305f\u3001\u70b9C\u304b\u3089\u70b9P\u307e\u3067\u306e\u8ddd\u96e2\u306f\\(r\\)\u3067\u3042\u308b\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u5f0f\u3092\u4f5c\u308c\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(|\\overrightarrow{CP}|=r\\)<\/li>\n<\/ul>\n<p>\u306a\u304a\\(\\overrightarrow{CP}=\\overrightarrow{OP}-\\overrightarrow{OC}\\)\\(=\\overrightarrow{p}-\\overrightarrow{c}\\)\u3067\u3042\u308b\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5f0f\u3092\u5909\u5f62\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\n<li>\\(|\\overrightarrow{p}-\\overrightarrow{c}|=r\\)<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/12\/mdf3.jpg\" alt=\"\" width=\"516\" height=\"216\" class=\"aligncenter size-full wp-image-11801\" \/><\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u7403\u9762\u306e\u30d9\u30af\u30c8\u30eb\u65b9\u7a0b\u5f0f\u3092\u5c0e\u51fa\u3067\u304d\u307e\u3057\u305f\u3002\u307e\u305f\u516c\u5f0f\u3092\u78ba\u8a8d\u3059\u308b\u3068\u3001\u524d\u8ff0\u306e\u901a\u308a\u5186\u306e\u30d9\u30af\u30c8\u30eb\u65b9\u7a0b\u5f0f\u3068\u540c\u3058\u3067\u3042\u308b\u3068\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<p>\u307e\u305f\u3001\u4e21\u8fba\u3092\u4e8c\u4e57\u3057\u307e\u3057\u3087\u3046\u3002\u305d\u3046\u3059\u308b\u3068\u3001\u5f0f\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(|\\overrightarrow{p}-\\overrightarrow{c}|^2=r^2\\)<\/p>\n<p>\\((\\overrightarrow{p}-\\overrightarrow{c})^2=r^2\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u3082\u3046\u4e00\u3064\u306e\u30d9\u30af\u30c8\u30eb\u65b9\u7a0b\u5f0f\u3067\u3042\u308b\\((\\overrightarrow{p}-\\overrightarrow{c})^2=r^2\\)\u3092\u4f5c\u308c\u307e\u3059\u3002<\/p>\n<p><strong>\u30fb\u4e2d\u5fc3\u3092\u901a\u308b\u76f4\u5f84\u306e\u4e21\u7aef\u304c\u308f\u304b\u3063\u3066\u3044\u308b\u30b1\u30fc\u30b9<\/strong><\/p>\n<p>\u5186\u306e\u30d9\u30af\u30c8\u30eb\u65b9\u7a0b\u5f0f\u3092\u5b66\u3093\u3067\u3044\u308b\u5834\u5408\u3001\u3082\u3046\u4e00\u3064\u30d9\u30af\u30c8\u30eb\u65b9\u7a0b\u5f0f\u304c\u5b58\u5728\u3059\u308b\u3053\u3068\u3092\u77e5\u3063\u3066\u3044\u308b\u3068\u601d\u3044\u307e\u3059\u3002\u7403\u306b\u3064\u3044\u3066\u3082\u6982\u5ff5\u304c\u540c\u3058\u3067\u3042\u308b\u305f\u3081\u3001\u5f53\u7136\u306a\u304c\u3089\u7403\u9762\u306e\u30d9\u30af\u30c8\u30eb\u65b9\u7a0b\u5f0f\u306b\u3082\u3001\u307b\u304b\u306b\u516c\u5f0f\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u7403\u306e\u4e2d\u5fc3\u3092\u901a\u308b\u76f4\u5f84\u306b\u3064\u3044\u3066\u3001\u4e21\u7aef\u306e\u70b9\u3092\u305d\u308c\u305e\u308cA\uff08\\(\\overrightarrow{a}\\)\uff09\u3001B\uff08\\(\\overrightarrow{b}\\)\uff09\u3068\u3057\u307e\u3059\u3002\u307e\u305f\u3001\u7403\u4e0a\u306b\u3042\u308b\u4efb\u610f\u306e\u70b9\u3092P\uff08\\(\\overrightarrow{p}\\)\uff09\u3068\u3057\u307e\u3059\u3002<\/p>\n<p>\u3053\u306e\u5834\u5408\u3001\u76f4\u5f84\u306f\u4e2d\u5fc3\u3092\u901a\u308b\u306e\u3067\u7dda\u5206AP\u3068\u7dda\u5206BP\u306f\u5fc5\u305a\u5782\u76f4\u306b\u306a\u308a\u307e\u3059\u3002\u3064\u307e\u308a\\(\\overrightarrow{AP}\u00b7\\overrightarrow{BP}=0\\)\u3068\u306a\u308a\u3001\u4ee5\u4e0b\u306e\u95a2\u4fc2\u304c\u6210\u308a\u7acb\u3061\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\((\\overrightarrow{p}-\\overrightarrow{a})\u00b7(\\overrightarrow{p}-\\overrightarrow{b})=0\\)<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/12\/mdf6.jpg\" alt=\"\" width=\"535\" height=\"251\" class=\"aligncenter size-full wp-image-11806\" 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