{"id":2531,"date":"2020-11-25T15:30:55","date_gmt":"2020-11-25T06:30:55","guid":{"rendered":"https:\/\/hatsudy.com\/jp\/?p=2531"},"modified":"2022-07-20T14:58:23","modified_gmt":"2022-07-20T05:58:23","slug":"rationalizing","status":"publish","type":"post","link":"https:\/\/hatsudy.com\/jp\/rationalizing.html","title":{"rendered":"\u5206\u6bcd\u306e\u6709\u7406\u5316\uff1a\u5206\u6570\u306e\u5e73\u65b9\u6839\u3067\u5206\u6bcd\u306e\u30eb\u30fc\u30c8\u3092\u6d88\u3059\u3084\u308a\u65b9"},"content":{"rendered":"\n<p>\u5e73\u65b9\u6839\u306e\u8a08\u7b97\u3067\u306f\u5206\u6570\u304c\u983b\u7e41\u306b\u51fa\u3066\u304d\u307e\u3059\u3002\u5206\u6570\u306e\u8a08\u7b97\u3067\u306f\u3001\u5206\u6bcd\u306b\u30eb\u30fc\u30c8\u304c\u542b\u307e\u308c\u308b\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u306e\u5834\u5408\u3001\u5206\u6bcd\u306b\u6839\u53f7\uff08\u30eb\u30fc\u30c8\uff09\u304c\u3042\u308b\u307e\u307e\u3067\u306f\u4e0d\u6b63\u89e3\u3067\u3059\u3002<\/p>\n<p>\u6839\u53f7\u306e\u8a08\u7b97\u554f\u984c\u3067\u306f\u3001\u5206\u6bcd\u306b\u30eb\u30fc\u30c8\u304c\u542b\u307e\u308c\u308b\u5834\u5408\u3001\u5206\u6bcd\u306e\u6839\u53f7\u3092\u6d88\u3059\u3088\u3046\u306b\u3057\u307e\u3057\u3087\u3046\u3002\u3053\u306e\u4f5c\u696d\u3092\u5206\u6bcd\u306e\u6709\u7406\u5316\u3068\u3044\u3044\u307e\u3059\u3002\u5e73\u65b9\u6839\u306e\u5206\u6570\u3067\u306f\u3001\u5206\u5b50\u306b\u30eb\u30fc\u30c8\u304c\u542b\u307e\u308c\u308b\u306e\u306f\u554f\u984c\u306a\u3044\u304c\u3001\u5206\u6bcd\u306b\u30eb\u30fc\u30c8\u304c\u542b\u307e\u308c\u308b\u3068\u5fae\u5999\u3067\u3059\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\u3001\u3069\u306e\u3088\u3046\u306b\u3057\u3066\u5206\u6bcd\u306e\u6709\u7406\u5316\u3092\u3059\u308c\u3070\u3044\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u307e\u305f\u3001\u306a\u305c\u5206\u6bcd\u306e\u6709\u7406\u5316\u3092\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u306e\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<p>\u3053\u308c\u3089\u3092\u5b66\u3076\u3053\u3068\u306b\u3088\u308a\u3001\u6570\u5b66\u3067\u5206\u6bcd\u306e\u6709\u7406\u5316\u3092\u6b63\u3057\u304f\u884c\u3046\u624b\u9806\u3092\u7406\u89e3\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002\u3069\u306e\u3088\u3046\u306b\u5206\u6bcd\u306e\u6709\u7406\u5316\u3092\u3059\u308b\u306e\u304b\u306b\u3064\u3044\u3066\u3001\u3084\u308a\u65b9\u3092\u89e3\u8aac\u3057\u307e\u3059\u3002<\/p>\n<h2>\u5206\u6bcd\u306b\u30eb\u30fc\u30c8\u304c\u3042\u308b\u5834\u5408\u3001\u6709\u7406\u5316\u3092\u3059\u308b<\/h2>\n<p>\u5e73\u65b9\u6839\u306e\u5206\u6570\u3067\u306f\u3001\u5206\u6bcd\u306b\u30eb\u30fc\u30c8\u304c\u8868\u308c\u308b\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002\u4f8b\u3048\u3070\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u72b6\u614b\u304c\u3053\u308c\u306b\u8a72\u5f53\u3057\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(\\displaystyle\\frac{1}{\\sqrt{2}}\\)<\/li>\n<\/ul>\n<p>\u3053\u306e\u5206\u6570\u3067\u306f\u3001\u5206\u6bcd\u306b\\(\\sqrt{2}\\)\u304c\u542b\u307e\u308c\u3066\u3044\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u5206\u6bcd\u306b\u30eb\u30fc\u30c8\u306e\u306a\u3044\u5206\u6570\u306b\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-2574\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2020\/11\/rtyrth1-1.jpg\" alt=\"\" width=\"312\" height=\"216\" \/><\/p>\n<p>\u30eb\u30fc\u30c8\u306f\u7121\u7406\u6570\u3067\u3059\u3002\u6570\u5b66\u3067\u306f\u3001\u5206\u6bcd\u306b\u7121\u7406\u6570\u304c\u542b\u307e\u308c\u3066\u3044\u308b\u72b6\u614b\u306f\u597d\u307e\u3057\u304f\u3042\u308a\u307e\u305b\u3093\u3002\u305d\u3053\u3067\u3001<span style=\"color: #ff0000;\">\u5206\u6bcd\u306e\u6570\u3092\u7121\u7406\u6570\u3067\u306f\u306a\u304f\u3001\u6709\u7406\u6570\u306e\u6570\u5b57\u306b\u5909\u3048\u307e\u3059\u3002<\/span>\u5206\u6bcd\u306b\u5b58\u5728\u3059\u308b\u30eb\u30fc\u30c8\u3092\u5206\u5b50\u306b\u79fb\u52d5\u3055\u305b\u308b\u306e\u3067\u3059\u3002\u3053\u308c\u304c\u5206\u6bcd\u306e\u6709\u7406\u5316\u3067\u3059\u3002<\/p>\n<p>\u4e2d\u5b66\u6570\u5b66\u3067\u306f\u3001\u5206\u6bcd\u306b\u30eb\u30fc\u30c8\u304c\u6b8b\u3063\u3066\u3044\u308b\u3068\u4e0d\u6b63\u89e3\u306b\u306a\u308a\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u5206\u6bcd\u306e\u6709\u7406\u5316\u3092\u5fc5\u305a\u884c\u3046\u3088\u3046\u306b\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<h3>\u5206\u6bcd\u306e\u6839\u53f7\u3092\u6574\u6570\u306b\u3059\u308b\u624b\u9806<\/h3>\n<p>\u3069\u306e\u3088\u3046\u306b\u3057\u3066\u5206\u6bcd\u306e\u6709\u7406\u5316\u3092\u3059\u308c\u3070\u3044\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u65b9\u6cd5\u3068\u3057\u3066\u306f\u3001\u5206\u6bcd\u3068\u5206\u5b50\u306b\u540c\u3058\u6570\u3092\u639b\u3051\u308b\u3088\u3046\u306b\u3057\u307e\u3057\u3087\u3046\u3002<span style=\"color: #0000ff;\">\u5206\u6570\u3067\u306f\u3001\u5206\u5b50\u3068\u5206\u6bcd\u306b\u5bfe\u3057\u3066\u540c\u3058\u6570\u306e\u639b\u3051\u7b97\u307e\u305f\u306f\u5272\u308a\u7b97\u3092\u3057\u3066\u3082\u554f\u984c\u3042\u308a\u307e\u305b\u3093\u3002<\/span>\u4e8b\u5b9f\u3001\u4ee5\u4e0b\u306e\u5206\u6570\u306f\u3059\u3079\u3066\u540c\u3058\u6570\u5b57\u3067\u3059\u3002<\/p>\n<ul>\n<li>\\(\\displaystyle\\frac{1}{2}=\\displaystyle\\frac{2}{4}=\\displaystyle\\frac{3}{6}\\)<\/li>\n<\/ul>\n<p>\u307e\u305f\u3001\\(\\displaystyle\\frac{1}{2}=\\displaystyle\\frac{1\u00d72}{2\u00d72}\\)\u3068\u8003\u3048\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002\u3044\u305a\u308c\u306b\u3057\u3066\u3082\u3001\u5206\u6570\u3067\u306f\u540c\u3058\u6570\u5b57\u3092\u5206\u5b50\u3068\u5206\u6bcd\u306b\u5bfe\u3057\u3066\u639b\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u3053\u306e\u6027\u8cea\u3092\u5229\u7528\u3057\u3066\u3001\u5206\u6bcd\u306e\u6709\u7406\u5316\u3092\u3057\u307e\u3057\u3087\u3046\u3002\u30eb\u30fc\u30c8\u30922\u4e57\u3059\u308b\u3068\u3001\u6839\u53f7\u304c\u5916\u308c\u307e\u3059\u3002\u305d\u3053\u3067\u3001<span style=\"color: #ff0000;\">\u5206\u6bcd\u306b\u3042\u308b\u30eb\u30fc\u30c8\u3068\u540c\u3058\u6570\u5b57\u3092\u5206\u5b50\u3068\u5206\u6bcd\u306b\u639b\u3051\u307e\u3059\u3002<\/span>\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-2575\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2020\/11\/rtyrth3.jpg\" alt=\"\" width=\"516\" height=\"230\" \/><\/p>\n<p>\\((\\sqrt{2})^2=2\\)\u3067\u3042\u308a\u3001\u540c\u3058\u6570\u306e\u30eb\u30fc\u30c8\u306e\u639b\u3051\u7b97\u306b\u3088\u3063\u3066\u5206\u6bcd\u306e\u6570\u3092\u6574\u6570\u306b\u5909\u63db\u3067\u304d\u307e\u3059\u3002\u5206\u6bcd\u306e\u6709\u7406\u5316\u306e\u3084\u308a\u65b9\u306f\u96e3\u3057\u304f\u3042\u308a\u307e\u305b\u3093\u3002\u5206\u6bcd\u306b\u3042\u308b\u5e73\u65b9\u6839\u306e\u639b\u3051\u7b97\u3092\u3059\u308b\u3060\u3051\u3067\u3059\u3002<\/p>\n<h3>\u30eb\u30fc\u30c8\u5185\u306e\u6570\u5b57\u3092\u5c0f\u3055\u304f\u3059\u308b\u3068\u8a08\u7b97\u30df\u30b9\u304c\u5c11\u306a\u3044<\/h3>\n<p>\u306a\u304a\u5206\u6bcd\u306e\u6709\u7406\u5316\u3092\u3059\u308b\u3068\u304d\u3001\u30eb\u30fc\u30c8\u5185\u306e\u6570\u5b57\u3092\u5c0f\u3055\u304f\u3059\u308b\u3068\u8a08\u7b97\u30df\u30b9\u304c\u5c11\u306a\u304f\u306a\u308a\u307e\u3059\u3002\u6700\u521d\u306b\u7d20\u56e0\u6570\u5206\u89e3\u3092\u3059\u308b\u3053\u3068\u3067\u3001\u6570\u5b57\u3092\u5c0f\u3055\u304f\u3059\u308b\u306e\u3067\u3059\u3002<\/p>\n<p>\u4f8b\u3048\u3070\u3001\u4ee5\u4e0b\u306e\u5206\u6570\u306f\u3069\u306e\u3088\u3046\u306b\u6709\u7406\u5316\u3059\u308c\u3070\u3044\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>\\(\\displaystyle\\frac{\\sqrt{63}}{\\sqrt{72}}\\)<\/li>\n<\/ul>\n<p>\u5206\u6bcd\u306e\u6709\u7406\u5316\u3092\u3059\u308b\u3068\u304d\u30012\u3064\u306e\u3084\u308a\u65b9\u304c\u3042\u308a\u307e\u3059\u3002\u4e00\u3064\u306f\u3001\u6700\u521d\u306b\u30eb\u30fc\u30c8\u5185\u306e\u6570\u5b57\u3092\u5c0f\u3055\u304f\u3059\u308b\u65b9\u6cd5\u3067\u3059\u3002\u3082\u3046\u4e00\u3064\u306f\u3001\u6700\u521d\u306b\u7d20\u56e0\u6570\u5206\u89e3\u3092\u305b\u305a\u306b\u5206\u6bcd\u306e\u6709\u7406\u5316\u3092\u3059\u308b\u65b9\u6cd5\u3067\u3059\u30022\u3064\u306e\u65b9\u6cd5\u3092\u6bd4\u3079\u3066\u307f\u308b\u3068\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-2654\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2020\/11\/ejuy3.jpg\" alt=\"\" width=\"600\" height=\"309\" \/><\/p>\n<p>\u3053\u306e\u3088\u3046\u306b\u6bd4\u8f03\u3059\u308b\u3068\u3001<span style=\"color: #0000ff;\">\u6700\u521d\u306b\u7d20\u56e0\u6570\u5206\u89e3\u3092\u3059\u308b\u3053\u3068\u3067\u3001\u6839\u53f7\u306e\u4e2d\u306b\u3042\u308b\u6570\u5b57\u3092\u5c0f\u3055\u304f\u3057\u305f\u307b\u3046\u304c\u8a08\u7b97\u306f\u7c21\u5358\u3067\u3059\u3002<\/span>\u3064\u307e\u308a\u3001\u8a08\u7b97\u30df\u30b9\u304c\u5c11\u306a\u304f\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u3069\u306e\u3088\u3046\u306a\u4eba\u3067\u3042\u3063\u3066\u3082\u3001\u6570\u5b66\u306e\u8a08\u7b97\u3067\u30df\u30b9\u3092\u3057\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u30df\u30b9\u3092\u3067\u304d\u308b\u3060\u3051\u5c11\u306a\u304f\u3059\u308b\u65b9\u6cd5\u3092\u9078\u629e\u3057\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002\u5206\u6bcd\u306e\u6709\u7406\u5316\u3092\u3059\u308b\u306b\u3057\u3066\u3082\u3001\u6700\u521d\u306b\u7d20\u56e0\u6570\u5206\u89e3\u3092\u3059\u308b\u3068\u8a08\u7b97\u30df\u30b9\u304c\u5c11\u306a\u304f\u306a\u308a\u307e\u3059\u3002<\/p>\n<h2>\u5206\u6bcd\u306b\u9805\u304c2\u3064\u3042\u308b\u8db3\u3057\u7b97\u30fb\u5f15\u304d\u7b97\u306e\u6709\u7406\u5316<\/h2>\n<p>\u306a\u304a\u5206\u6bcd\u306e\u6709\u7406\u5316\u3092\u884c\u3046\u3068\u304d\u306e\u5fdc\u7528\u554f\u984c\u3068\u3057\u3066\u3001\u5206\u6bcd\u306b2\u3064\u306e\u9805\u304c\u3042\u308b\u30b1\u30fc\u30b9\u304c\u3042\u308a\u307e\u3059\u3002\u30eb\u30fc\u30c8\u304c\u4e00\u3064\u3060\u3051\u3067\u306a\u304f\u3001\u8db3\u3057\u7b97\u307e\u305f\u306f\u5f15\u304d\u7b97\u304c\u542b\u307e\u308c\u3066\u3044\u308b\u306e\u3067\u3059\u3002<\/p>\n<p>\u4f8b\u3048\u3070\u3001\u4ee5\u4e0b\u306e\u5206\u6570\u3067\u306f\u5206\u6bcd\u306b\u9805\u304c2\u3064\u542b\u307e\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(\\displaystyle\\frac{1}{3-\\sqrt{2}}\\)<\/li>\n<\/ul>\n<p>\u3053\u306e\u5834\u5408\u3001\u3069\u306e\u3088\u3046\u306b\u8a08\u7b97\u3059\u308c\u3070\u3044\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002<span style=\"color: #ff0000;\">2\u3064\u306e\u9805\u304c\u3042\u308b\u5834\u5408\u3001\u4e57\u6cd5\u516c\u5f0f\u3092\u5229\u7528\u3057\u307e\u3059\u3002<\/span>\u5177\u4f53\u7684\u306b\u306f\u3001\u4ee5\u4e0b\u306e\u516c\u5f0f\u3092\u4f7f\u3044\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\n<li>\\((x+a)(x-a)=x^2-a^2\\)<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-2273\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2020\/11\/wth4.jpg\" alt=\"\" width=\"600\" height=\"176\" \/><\/p>\n<p>\u3053\u306e\u516c\u5f0f\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u3067\u3001\u5206\u6bcd\u306e\u6709\u7406\u5316\u304c\u53ef\u80fd\u3067\u3059\u3002\u4f8b\u3048\u3070\u5148\u307b\u3069\u306e\u8a08\u7b97\u5f0f\u3067\u3042\u308c\u3070\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\\(\\displaystyle\\frac{1}{3-\\sqrt{2}}\\)<\/p>\n<p>\\(=\\displaystyle\\frac{1\\color{red}{\u00d7(3+\\sqrt{2})}}{(3-\\sqrt{2})\\color{red}{\u00d7(3+\\sqrt{2})}}\\)<\/p>\n<p>\\(=\\displaystyle\\frac{3+\\sqrt{2}}{3^2-(\\sqrt{2})^2}\\)<\/p>\n<p>\\(=\\displaystyle\\frac{3+\\sqrt{2}}{9-2}\\)<\/p>\n<p>\\(=\\displaystyle\\frac{3+\\sqrt{2}}{7}\\)<\/p>\n<p>\u3053\u306e\u3088\u3046\u306b\u3001<span style=\"color: #0000ff;\">\u4e57\u6cd5\u516c\u5f0f\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u3067\u5206\u6bcd\u306e\u6709\u7406\u5316\u304c\u53ef\u80fd\u3067\u3059\u3002<\/span>\u9805\u304c2\u3064\u3042\u3063\u305f\u3068\u3057\u3066\u3082\u3001\u4ee5\u4e0b\u306e\u65b9\u6cd5\u306b\u3088\u3063\u3066\u5206\u6bcd\u306e\u6709\u7406\u5316\u3092\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-2746\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2020\/11\/rhyte8.jpg\" alt=\"\" width=\"600\" height=\"199\" \/><\/p>\n<p>\u5206\u6bcd\u306b\u30eb\u30fc\u30c8\u306e\u8db3\u3057\u7b97\u3084\u5f15\u304d\u7b97\u304c\u542b\u307e\u308c\u3066\u3044\u308b\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u306e\u5834\u5408\u3001\u4e57\u6cd5\u516c\u5f0f\u3092\u5229\u7528\u3057\u3066\u5206\u6bcd\u306e\u6709\u7406\u5316\u3092\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<h2>\u5206\u6570\u3067\u306a\u305c\u5206\u6bcd\u306e\u6709\u7406\u5316\u304c\u5fc5\u8981\u306a\u306e\u304b<\/h2>\n<p>\u305d\u308c\u3067\u306f\u3001\u306a\u305c\u5e73\u65b9\u6839\u306e\u5206\u6570\u3067\u306f\u5206\u6bcd\u306e\u6709\u7406\u5316\u304c\u5fc5\u8981\u306a\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u5206\u6bcd\u306b\u30eb\u30fc\u30c8\u304c\u3042\u308b\u3068\u3001\u4f55\u304c\u554f\u984c\u306a\u306e\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<p>\u5206\u6bcd\u306e\u6709\u7406\u5316\u3092\u3057\u306a\u3044\u3068\u3044\u3051\u306a\u3044\u7406\u7531\u3068\u3057\u3066\u3001\u6570\u5b57\u3092\u5206\u304b\u308a\u3084\u3059\u304f\u3059\u308b\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002\u4f8b\u3048\u3070\u3001\u4ee5\u4e0b\u306e\u5206\u6570\u3067\u306f\u3069\u306e\u3088\u3046\u306a\u6570\u5b57\u306a\u306e\u304b\u7406\u89e3\u3057\u306b\u304f\u3044\u3067\u3059\u3002<\/p>\n<ul>\n<li>\\(\\displaystyle\\frac{1}{\\sqrt{2}}\\)<\/li>\n<\/ul>\n<p>\u7121\u7406\u6570\u306f\u6570\u5b57\u304c\u6c38\u4e45\u306b\u7d9a\u304d\u307e\u3059\u3002\u305d\u306e\u3088\u3046\u306a\u6570\u5b57\u3067\u5206\u5b50\u3092\u5272\u308b\u306e\u306f\u4e0d\u53ef\u80fd\u3067\u3042\u308a\u3001\u3069\u306e\u3088\u3046\u306a\u6570\u5b57\u306b\u306a\u308b\u306e\u304b\u60f3\u50cf\u3057\u306b\u304f\u3044\u3067\u3059\u3002<\/p>\n<p>\u4e00\u65b9\u3067\u5206\u6bcd\u306e\u6709\u7406\u5316\u3092\u884c\u3044\u3001\u5206\u6570\u3092\u4ee5\u4e0b\u306e\u5f62\u306b\u5909\u3048\u308c\u3070\u3069\u3046\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>\\(\\displaystyle\\frac{\\sqrt{2}}{2}\\)<\/li>\n<\/ul>\n<p>\u7121\u7406\u6570\u306a\u306e\u3067\u3001\u5206\u5b50\u306b\u3042\u308b\u6570\u5b57\u304c\u6c38\u4e45\u306b\u7d9a\u304f\u306e\u306f\u540c\u3058\u3067\u3059\u3002\u305f\u3060\u3001\u3069\u306e\u3088\u3046\u306a\u6570\u5b57\u306b\u306a\u308b\u306e\u304b\u5bb9\u6613\u306b\u60f3\u50cf\u3067\u304d\u307e\u3059\u3002\\(\\sqrt{2}\u22521.41\\)\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\\(\\displaystyle\\frac{\\sqrt{2}}{2}\\)\u306f\u7d040.7\u3068\u5206\u304b\u308a\u307e\u3059\u3002<\/p>\n<p><span style=\"color: #ff0000;\">\u5206\u6bcd\u306b\u7121\u7406\u6570\u304c\u3042\u308b\u3068\u3001\u6570\u5b57\u304c\u5206\u304b\u308a\u306b\u304f\u3044\u3067\u3059\u3002<\/span>\u4e00\u65b9\u3067\u30eb\u30fc\u30c8\u304c\u3042\u3063\u305f\u3068\u3057\u3066\u3082\u3001\u5206\u5b50\u3067\u3042\u308c\u3070\u3069\u306e\u3088\u3046\u306a\u6570\u5b57\u306a\u306e\u304b\u7406\u89e3\u3057\u3084\u3059\u3044\u3067\u3059\u3002<\/p>\n<h3>\u901a\u5206\u3092\u3059\u308b\u5834\u5408\u3001\u5206\u6bcd\u306e\u6709\u7406\u5316\u304c\u5fc5\u8981<\/h3>\n<p>\u307e\u305f\u901a\u5206\u3092\u3059\u308b\u3068\u304d\u306b\u3064\u3044\u3066\u3082\u3001\u5206\u6bcd\u3092\u6709\u7406\u5316\u3057\u3066\u3044\u308b\u307b\u3046\u304c\u597d\u307e\u3057\u3044\u3067\u3059\u3002\u5206\u6570\u306e\u8db3\u3057\u7b97\u3068\u5f15\u304d\u7b97\u3067\u306f\u3001\u5fc5\u305a\u5206\u6bcd\u304c\u63c3\u3063\u3066\u3044\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002\u5206\u6bcd\u304c\u63c3\u3046\u3053\u3068\u3067\u3001\u5206\u6570\u306e\u6027\u8cea\u304c\u540c\u3058\u306b\u306a\u308b\u304b\u3089\u3067\u3059\u3002<\/p>\n<p>\u305f\u3060\u5206\u6bcd\u304c\u7121\u7406\u6570\u3092\u542b\u3093\u3067\u3044\u308b\u3068\u3001\u5206\u6bcd\u3092\u63c3\u3048\u308b\u306e\u304c\u56f0\u96e3\u3067\u3059\u3002\u4f8b\u3048\u3070\u3001\u4ee5\u4e0b\u306e\u8a08\u7b97\u306f\u3069\u306e\u3088\u3046\u306b\u3059\u308c\u3070\u3044\u3044\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>\\(\\displaystyle\\frac{1}{3}+\\displaystyle\\frac{1}{2+\\sqrt{2}}\\)<\/li>\n<\/ul>\n<p>\u3053\u306e\u72b6\u614b\u3067\u306f\u3001\u8a08\u7b97\u304c\u56f0\u96e3\u3067\u3059\u3002\u5206\u6bcd\u306b\u7121\u7406\u6570\u304c\u3042\u308b\u305f\u3081\u3001\u6570\u5b57\u3092\u63c3\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u305b\u3093\u3002\u305d\u3053\u3067\u3001\u5206\u6bcd\u306e\u6709\u7406\u5316\u3092\u3057\u307e\u3057\u3087\u3046\u3002\u305d\u3046\u3059\u308c\u3070\u3001\u901a\u5206\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(\\displaystyle\\frac{1}{3}+\\displaystyle\\frac{1}{2+\\sqrt{2}}\\)<\/p>\n<p>\\(=\\displaystyle\\frac{1}{3}+\\displaystyle\\frac{1\\color{red}{\u00d7(2-\\sqrt{2})}}{(2+\\sqrt{2})\\color{red}{\u00d7(2-\\sqrt{2})}}\\)<\/p>\n<p>\\(=\\displaystyle\\frac{1}{3}+\\displaystyle\\frac{2-\\sqrt{2}}{4-2}\\)<\/p>\n<p>\\(=\\displaystyle\\frac{1}{3}+\\displaystyle\\frac{2-\\sqrt{2}}{2}\\)<\/p>\n<p>\\(=\\displaystyle\\frac{2}{6}+\\displaystyle\\frac{(2-\\sqrt{2})\u00d73}{6}\\)<\/p>\n<p>\\(=\\displaystyle\\frac{2}{6}+\\displaystyle\\frac{6-3\\sqrt{2}}{6}\\)<\/p>\n<p>\\(=\\displaystyle\\frac{8-3\\sqrt{2}}{6}\\)<\/p>\n<p><span style=\"color: #0000ff;\">\u5206\u6bcd\u3092\u6574\u6570\u306b\u3059\u308b\u304b\u3089\u3053\u305d\u3001\u5206\u6570\u306e\u901a\u5206\u304c\u53ef\u80fd\u306b\u306a\u308a\u307e\u3059\u3002<\/span>\u7121\u7406\u6570\u304c\u5206\u6bcd\u306b\u3042\u308b\u3068\u3001\u901a\u5206\u3067\u304d\u307e\u305b\u3093\u3002\u5206\u6bcd\u306e\u6709\u7406\u5316\u304c\u5fc5\u8981\u306a\u7406\u7531\u3068\u3057\u3066\u306f\u3001\u901a\u5206\u3059\u308b\u3053\u3068\u3067\u5206\u6570\u540c\u58eb\u3092\u8a08\u7b97\u3067\u304d\u308b\u3088\u3046\u306b\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u304b\u3089\u3067\u3059\u3002\u5206\u6bcd\u306e\u6709\u7406\u5316\u3092\u3057\u306a\u3044\u3068\u3001\u8a08\u7b97\u3067\u304d\u306a\u3044\u306e\u3067\u3059\u3002<\/p>\n<h2>\u7df4\u7fd2\u554f\u984c\uff1a\u5206\u6bcd\u306e\u6709\u7406\u5316\u306e\u8a08\u7b97<\/h2>\n<p><strong>Q1.<\/strong>\u00a0\u5206\u6bcd\u306e\u6709\u7406\u5316\u3092\u3057\u307e\u3057\u3087\u3046<\/p>\n<ol style=\"list-style-type: lower-alpha;\">\n<li>\\(\\displaystyle\\frac{4}{\\sqrt{8}}\\)<\/li>\n<li class=\"odd\">\\(\\displaystyle\\frac{\\sqrt{3}}{\\sqrt{24}}\\)<\/li>\n<li>\\(\\displaystyle\\frac{1}{\\sqrt{6}+\\sqrt{3}}\\)<\/li>\n<\/ol>\n<p><strong>A1.<\/strong>\u00a0\u89e3\u7b54<\/p>\n<p>\u3053\u308c\u307e\u3067\u8aac\u660e\u3057\u3066\u304d\u305f\u3053\u3068\u3092\u7406\u89e3\u3059\u308c\u3070\u3001\u3069\u306e\u554f\u984c\u3082\u7c21\u5358\u306b\u89e3\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p><strong>(a)<\/strong><\/p>\n<p>\\(\\displaystyle\\frac{4}{\\sqrt{8}}\\)<\/p>\n<p>\\(=\\displaystyle\\frac{4}{2\\sqrt{2}}\\)<\/p>\n<p>\\(=\\displaystyle\\frac{2}{\\sqrt{2}}\\)<\/p>\n<p>\\(=\\displaystyle\\frac{2\\color{red}{\u00d7\\sqrt{2}}}{\\sqrt{2}\\color{red}{\u00d7\\sqrt{2}}}\\)<\/p>\n<p>\\(=\\displaystyle\\frac{2\\sqrt{2}}{2}\\)<\/p>\n<p>\\(=\\sqrt{2}\\)<\/p>\n<p><strong>(b)<\/strong><\/p>\n<p>\\(\\displaystyle\\frac{\\sqrt{3}}{\\sqrt{24}}\\)<\/p>\n<p>\\(=\\displaystyle\\frac{\\sqrt{3}}{2\\sqrt{6}}\\)<\/p>\n<p>\\(=\\displaystyle\\frac{\\sqrt{3}\\color{red}{\u00d7\\sqrt{6}}}{2\\sqrt{6}\\color{red}{\u00d7\\sqrt{6}}}\\)<\/p>\n<p>\\(=\\displaystyle\\frac{\\sqrt{18}}{2\u00d76}\\)<\/p>\n<p>\\(=\\displaystyle\\frac{3\\sqrt{2}}{12}\\)<\/p>\n<p>\\(=\\displaystyle\\frac{\\sqrt{2}}{4}\\)<\/p>\n<p><strong>(c)<\/strong><\/p>\n<p>\\(\\displaystyle\\frac{1}{\\sqrt{6}+\\sqrt{3}}\\)<\/p>\n<p>\\(=\\displaystyle\\frac{1\\color{red}{\u00d7(\\sqrt{6}-\\sqrt{3})}}{(\\sqrt{6}+\\sqrt{3})\\color{red}{\u00d7(\\sqrt{6}-\\sqrt{3})}}\\)<\/p>\n<p>\\(=\\displaystyle\\frac{\\sqrt{6}-\\sqrt{3}}{(\\sqrt{6})^2-(\\sqrt{3})^2}\\)<\/p>\n<p>\\(=\\displaystyle\\frac{\\sqrt{6}-\\sqrt{3}}{3}\\)<\/p>\n<h2>\u5e73\u65b9\u6839\u3067\u306f\u5206\u6bcd\u306b\u3042\u308b\u6839\u53f7\u3092\u6d88\u3059<\/h2>\n<p>\u6570\u5b66\u3067\u5e73\u65b9\u6839\u3092\u53d6\u308a\u6271\u3046\u3068\u304d\u3001\u5fc5\u305a\u884c\u308f\u306a\u3051\u308c\u3070\u3044\u3051\u306a\u3044\u8a08\u7b97\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u306e\u4e00\u3064\u304c\u5206\u6bcd\u306e\u6709\u7406\u5316\u3067\u3059\u3002\u5206\u6bcd\u306b\u6839\u53f7\u304c\u542b\u307e\u308c\u3066\u3044\u308b\u5834\u5408\u3001\u305d\u306e\u307e\u307e\u306e\u72b6\u614b\u3067\u306f\u9593\u9055\u3044\u3067\u3059\u3002\u5fc5\u305a\u5206\u6bcd\u306e\u6709\u7406\u5316\u3092\u3059\u308b\u3088\u3046\u306b\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u5206\u6bcd\u306e\u6709\u7406\u5316\u3092\u3059\u308b\u304b\u3089\u3053\u305d\u3001\u3069\u306e\u3088\u3046\u306a\u6570\u5b57\u306a\u306e\u304b\u8a08\u7b97\u3057\u3084\u3059\u304f\u306a\u308a\u307e\u3059\u3002\u307e\u305f\u5206\u6570\u306e\u901a\u5206\u304c\u53ef\u80fd\u306b\u306a\u308a\u3001\u8db3\u3057\u7b97\u3084\u5f15\u304d\u7b97\u304c\u53ef\u80fd\u306b\u306a\u308a\u307e\u3059\u3002\u306a\u305c\u3001\u5206\u6bcd\u306e\u6709\u7406\u5316\u304c\u5fc5\u8981\u306a\u306e\u304b\u307e\u3067\u542b\u3081\u3066\u7406\u89e3\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u306a\u304a\u3001\u5206\u6bcd\u306e\u6709\u7406\u5316\u3092\u884c\u3046\u3084\u308a\u65b9\u306f\u7c21\u5358\u3067\u3059\u3002\u5206\u6bcd\u306b\u3042\u308b\u30eb\u30fc\u30c8\u3068\u540c\u3058\u6570\u3092\u5206\u5b50\u3068\u5206\u6bcd\u306b\u639b\u3051\u307e\u3057\u3087\u3046\u3002\u3053\u306e\u3068\u304d\u3001\u5148\u306b\u7d20\u56e0\u6570\u5206\u89e3\u306b\u3088\u3063\u3066\u6839\u53f7\u306e\u4e2d\u306e\u6570\u5b57\u3092\u5c0f\u3055\u304f\u3057\u3066\u304a\u304f\u3068\u8a08\u7b97\u30df\u30b9\u304c\u6e1b\u308a\u307e\u3059\u3002\u307e\u305f\u3001\u5206\u6bcd\u306b\u9805\u304c2\u3064\u3042\u308b\u5834\u5408\u306f\u4e57\u6cd5\u516c\u5f0f\u3092\u5229\u7528\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u5206\u6bcd\u306e\u6709\u7406\u5316\u3067\u306f\u6b63\u3057\u3044\u3084\u308a\u65b9\u304c\u3042\u308a\u307e\u3059\u3002\u5206\u6bcd\u306e\u6709\u7406\u5316\u3092\u3059\u308b\u65b9\u6cd5\u3092\u7406\u89e3\u3057\u3066\u3001\u5e73\u65b9\u6839\u306e\u8a08\u7b97\u3092\u3059\u308b\u3088\u3046\u306b\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5e73\u65b9\u6839\u306e\u8a08\u7b97\u3067\u306f\u5206\u6570\u304c\u983b\u7e41\u306b\u51fa\u3066\u304d\u307e\u3059\u3002\u5206\u6570\u306e\u8a08\u7b97\u3067\u306f\u3001\u5206\u6bcd\u306b\u30eb\u30fc\u30c8\u304c\u542b\u307e\u308c\u308b\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u306e\u5834\u5408\u3001\u5206\u6bcd\u306b\u6839\u53f7\uff08\u30eb\u30fc\u30c8\uff09\u304c\u3042\u308b\u307e\u307e\u3067\u306f\u4e0d\u6b63\u89e3\u3067\u3059\u3002 \u6839\u53f7\u306e\u8a08\u7b97\u554f\u984c\u3067\u306f\u3001\u5206\u6bcd\u306b\u30eb\u30fc\u30c8\u304c\u542b\u307e\u308c\u308b\u5834\u5408\u3001\u5206\u6bcd\u306e\u6839\u53f7\u3092\u6d88\u3059\u3088\u3046 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":2598,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":{"0":"post-2531","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-j-math"},"_links":{"self":[{"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts\/2531","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/comments?post=2531"}],"version-history":[{"count":15,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts\/2531\/revisions"}],"predecessor-version":[{"id":8236,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts\/2531\/revisions\/8236"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/media\/2598"}],"wp:attachment":[{"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/media?parent=2531"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/categories?post=2531"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/tags?post=2531"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}