{"id":12324,"date":"2023-01-19T21:08:42","date_gmt":"2023-01-19T12:08:42","guid":{"rendered":"https:\/\/hatsudy.com\/jp\/?p=12324"},"modified":"2023-01-30T09:40:09","modified_gmt":"2023-01-30T00:40:09","slug":"complex-plane-3","status":"publish","type":"post","link":"https:\/\/hatsudy.com\/jp\/complex-plane-3.html","title":{"rendered":"\u8907\u7d20\u6570\u5e73\u9762\u3067\u306e\u5186\u306e\u65b9\u7a0b\u5f0f\uff1a\u30a2\u30dd\u30ed\u30cb\u30a6\u30b9\u306e\u5186"},"content":{"rendered":"\n<p>\u8907\u7d20\u6570\u5e73\u9762\u3067\u5186\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306f\u591a\u3044\u3067\u3059\u3002\u5ea7\u6a19\u3084\u30d9\u30af\u30c8\u30eb\u3067\u5186\u3092\u5229\u7528\u3059\u308b\u306e\u3068\u540c\u69d8\u306b\u3001\u8907\u7d20\u6570\u5e73\u9762\u3067\u3082\u5186\u3092\u63cf\u3051\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u8907\u7d20\u6570\u5e73\u9762\u306f\u30d9\u30af\u30c8\u30eb\u3068\u6027\u8cea\u304c\u4f3c\u3066\u3044\u308b\u305f\u3081\u3001\u30d9\u30af\u30c8\u30eb\u65b9\u7a0b\u5f0f\u3067\u306e\u5186\u3092\u7406\u89e3\u3057\u3066\u3044\u308b\u5834\u5408\u3001\u8907\u7d20\u6570\u5e73\u9762\u3067\u5186\u306e\u65b9\u7a0b\u5f0f\u3092\u5b66\u3076\u306e\u306f\u96e3\u3057\u304f\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<p>\u306a\u304a\u8907\u7d20\u6570\u5e73\u9762\u3067\u306f\u3001\u30a2\u30dd\u30ed\u30cb\u30a6\u30b9\u306e\u5186\u3082\u53d6\u308a\u6271\u3044\u307e\u3059\u30022\u3064\u306e\u70b9\u306e\u5185\u5206\u70b9\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u5186\u3092\u5f97\u3089\u308c\u308b\u306e\u3067\u3059\u3002\u307e\u305f\u3001\u5f0f\u3092\u78ba\u8a8d\u3059\u308b\u3053\u3068\u3067\u3069\u306e\u3088\u3046\u306a\u5186\u3092\u63cf\u304f\u3053\u3068\u304c\u3067\u304d\u308b\u306e\u304b\u5224\u65ad\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\u3001\u8907\u7d20\u6570\u5e73\u9762\u3067\u5186\u306e\u65b9\u7a0b\u5f0f\u3092\u5229\u7528\u3057\u3066\u8a08\u7b97\u3059\u308b\u306b\u306f\u3069\u3046\u3059\u308c\u3070\u3044\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u8907\u7d20\u6570\u5e73\u9762\u3067\u306e\u5186\u306e\u65b9\u7a0b\u5f0f\u3084\u30a2\u30dd\u30ed\u30cb\u30a6\u30b9\u306e\u5186\u306b\u3064\u3044\u3066\u89e3\u8aac\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<h2>\u8907\u7d20\u6570\u5e73\u9762\u3067\u306e\u5186\u306e\u65b9\u7a0b\u5f0f<\/h2>\n<p>\u307e\u305a\u3001\u8907\u7d20\u6570\u5e73\u9762\u3067\u306e\u5186\u306e\u65b9\u7a0b\u5f0f\u3092\u78ba\u8a8d\u3057\u307e\u3057\u3087\u3046\u3002\u70b9A\uff08\u8907\u7d20\u6570\\(\u03b1\\)\uff09\u304c\u4e2d\u5fc3\u3067\u3042\u308a\u3001\u534a\u5f84\\(r\\)\u306e\u5186\u306b\u3064\u3044\u3066\u3001\u5186\u4e0a\u306e\u70b9\u3092\\(z\\)\u3068\u3059\u308b\u3068\u3001\u4ee5\u4e0b\u306e\u5f0f\u3067\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(|z-\u03b1|=r\\)<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2023\/01\/sndg1.jpg\" alt=\"\" width=\"461\" height=\"230\" class=\"aligncenter size-full wp-image-12333\" \/><\/p>\n<p>\\(z\\)\u3068\\(\u03b1\\)\u306e\u8ddd\u96e2\u306b\u3064\u3044\u3066\u3001\u7d76\u5bfe\u5024\u3092\u7528\u3044\u3066\\(|z-\u03b1|\\)\u3068\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u308b\u3053\u3068\u3092\u3059\u3067\u306b\u5b66\u3093\u3067\u3044\u308b\u3068\u601d\u3044\u307e\u3059\u3002\\(z\\)\u3068\\(\u03b1\\)\u306e\u8ddd\u96e2\u306f\u534a\u5f84\\(r\\)\u306b\u306a\u308b\u305f\u3081\u3001\u3053\u306e\u65b9\u7a0b\u5f0f\u304c\u6210\u308a\u7acb\u3064\u3068\u554f\u984c\u306a\u304f\u7406\u89e3\u3067\u304d\u307e\u3059\u3002<\/p>\n<p><span style=\"color: #0000ff;\">\u8907\u7d20\u6570\u5e73\u9762\u3067\u306e\u5186\u306e\u65b9\u7a0b\u5f0f\u3068\u3044\u3046\u306e\u306f\u3001\u5186\u306e\u30d9\u30af\u30c8\u30eb\u65b9\u7a0b\u5f0f\u3068\u516c\u5f0f\u304c\u307b\u307c\u540c\u3058\u3067\u3059\u3002<\/span>\u30d9\u30af\u30c8\u30eb\u65b9\u7a0b\u5f0f\u3068\u8907\u7d20\u6570\u5e73\u9762\u3067\u5229\u7528\u3055\u308c\u308b\u65b9\u7a0b\u5f0f\u3092\u5bfe\u5fdc\u3057\u3066\u899a\u3048\u307e\u3057\u3087\u3046\u3002<\/p>\n<h3>\u65b9\u7a0b\u5f0f\u3092\u78ba\u8a8d\u3057\u3001\u56f3\u5f62\u3092\u63cf\u304f<\/h3>\n<p>\u305d\u308c\u3067\u306f\u3001\u5f0f\u3092\u78ba\u8a8d\u3059\u308b\u3053\u3068\u3067\u56f3\u5f62\u3092\u63cf\u3051\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u5f0f\u306f\u3069\u306e\u3088\u3046\u306a\u56f3\u5f62\u3092\u8868\u3057\u3066\u3044\u308b\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>\\(\\left|\\displaystyle\\frac{z-2-2i}{1-i}\\right|=1\\)<\/li>\n<\/ul>\n<p>\u5f0f\u3092\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5909\u5f62\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(\\left|\\displaystyle\\frac{z-2-2i}{1-i}\\right|=1\\)<\/p>\n<p>\\(\\displaystyle\\frac{|z-2-2i|}{|1-i|}=1\\)<\/p>\n<p>\\(|z-2-2i|=|1-i|\\)<\/p>\n<p>\\(|z-(2+2i)|=|1-i|\\)<\/p>\n<p>\u8907\u7d20\u6570\u5e73\u9762\u3067\u306e\u7d76\u5bfe\u5024\u306f\u539f\u70b9\u3068\u306e\u8ddd\u96e2\u3092\u8868\u3057\u307e\u3059\u3002\u305d\u306e\u305f\u3081\\(|1-i|\\)\u306b\u3064\u3044\u3066\u3001\u539f\u70b9\u3068\u306e\u8ddd\u96e2\u306f\\(\\sqrt{2}\\)\u3067\u3059\u3002\\(|1-i|=\\sqrt{2}\\)\u3067\u3042\u308b\u305f\u3081\u3001\u5f0f\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(|z-(2+2i)|=\\sqrt{2}\\)<\/li>\n<\/ul>\n<p>\u3064\u307e\u308a\\(z\\)\u306f\u4e2d\u5fc3\\(2+2i\\)\u3001\u534a\u5f84\\(\\sqrt{2}\\)\u306e\u5186\u3092\u8868\u3057\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2023\/01\/sndg2.jpg\" alt=\"\" width=\"430\" height=\"337\" class=\"aligncenter size-full wp-image-12334\" \/><\/p>\n<p>\\(z\\)\u306f\u70b9\u3067\u3042\u308b\u3082\u306e\u306e\u3001\u3059\u3079\u3066\u306e\\(z\\)\u3092\u96c6\u3081\u308b\u3068\u7d50\u679c\u3068\u3057\u3066\u5186\u306b\u306a\u308b\u306e\u3067\u3059\u3002<\/p>\n<h3>\u30a2\u30dd\u30ed\u30cb\u30a6\u30b9\u306e\u5186\uff1a\u8907\u7d20\u6570\u5e73\u9762\u3068\u5185\u5206\u70b9<\/h3>\n<p>\u6b21\u306b\u3001\u8907\u7d20\u6570\u5e73\u9762\u3067\u306e\u30a2\u30dd\u30ed\u30cb\u30a6\u30b9\u306e\u5186\u3092\u5b66\u3073\u307e\u3057\u3087\u3046\u3002\u5ea7\u6a19\u3067\u5186\u3092\u7fd2\u3046\u3068\u304d\u3001\u30a2\u30dd\u30ed\u30cb\u30a6\u30b9\u306e\u5186\u3092\u3059\u3067\u306b\u5b66\u3093\u3067\u3044\u308b\u3068\u601d\u3044\u307e\u3059\u3002<span style=\"color: #0000ff;\">2\u3064\u306e\u70b9\u306b\u3064\u3044\u3066\u3001\u5185\u5206\u70b9\uff08\u307e\u305f\u306f\u5916\u5206\u70b9\uff09\u3092\u3064\u306a\u3050\u3068\u5186\u3092\u4f5c\u308c\u307e\u3059\u3002<\/span>\u3053\u308c\u304c\u30a2\u30dd\u30ed\u30cb\u30a6\u30b9\u306e\u5186\u3067\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2023\/01\/feo5.jpg\" alt=\"\" width=\"409\" height=\"291\" class=\"aligncenter size-full wp-image-12495\" \/><\/p>\n<p>\u70b9A\uff08\u8907\u7d20\u6570\\(\u03b1\\)\uff09\u3068\u70b9B\uff08\u8907\u7d20\u6570\\(\u03b2\\)\uff09\u306b\u3064\u3044\u3066\u30012\u70b9\u304b\u3089\u306e\u8ddd\u96e2\u304c\\(m:n\\)\uff08\\(m\u2260n\\)\uff09\u3068\u306a\u308b\u5834\u5408\u3001\u4ee5\u4e0b\u306e\u5f0f\u306b\u3088\u3063\u3066\u30a2\u30dd\u30ed\u30cb\u30a6\u30b9\u306e\u5186\u3092\u8868\u73fe\u3067\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(n|z-\u03b1|=m|z-\u03b2|\\)<\/li>\n<\/ul>\n<p>\u524d\u8ff0\u306e\u901a\u308a\u3001\u7d76\u5bfe\u5024\u3068\u5f15\u304d\u7b97\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u8907\u7d20\u6570\u5e73\u9762\u3067\u306e\u8ddd\u96e2\u3092\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u70b9A\u3068\\(z\\)\u306e\u8ddd\u96e2\u306f\\(|z-\u03b1|\\)\u3067\u3042\u308a\u3001\u70b9B\u3068\\(z\\)\u306e\u8ddd\u96e2\u306f\\(|z-\u03b2|\\)\u3067\u3059\u3002\u307e\u305f\\(z\\)\u306f2\u70b9\u304b\u3089\u306e\u8ddd\u96e2\u304c\\(m:n\\)\u3068\u306a\u308b\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u5f0f\u3092\u4f5c\u308c\u307e\u3059\u3002<\/p>\n<p>\\(|z-\u03b1|:|z-\u03b2|=m:n\\)<\/p>\n<p>\\(n|z-\u03b1|=m|z-\u03b2|\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u5148\u307b\u3069\u8a18\u3057\u305f\u8907\u7d20\u6570\u5e73\u9762\u3067\u306e\u65b9\u7a0b\u5f0f\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002\u306a\u304a\u3001<span style=\"color: #0000ff;\">\u3053\u306e\u5186\u306f\u7dda\u5206AB\u306e\u5185\u5206\u70b9\u3068\u5916\u5206\u70b9\u304c\u76f4\u5f84\u306e\u4e21\u7aef\u3068\u306a\u308a\u307e\u3059\u3002<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2023\/01\/sndg4.jpg\" alt=\"\" width=\"486\" height=\"300\" class=\"aligncenter size-full wp-image-12336\" 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