{"id":10983,"date":"2022-10-31T12:19:35","date_gmt":"2022-10-31T03:19:35","guid":{"rendered":"https:\/\/hatsudy.com\/jp\/?p=10983"},"modified":"2022-11-05T16:27:56","modified_gmt":"2022-11-05T07:27:56","slug":"fraction-formula","status":"publish","type":"post","link":"https:\/\/hatsudy.com\/jp\/fraction-formula.html","title":{"rendered":"\u5206\u6570\u5f0f\u306e\u8a08\u7b97\uff1a\u7d04\u5206\u30fb\u901a\u5206\u3001\u7e41\u5206\u6570\u5f0f\u30fb\u90e8\u5206\u5206\u6570\u5206\u89e3"},"content":{"rendered":"\n<p>\u9ad8\u6821\u6570\u5b66\u3067\u306f\u3001\u6587\u5b57\u3092\u542b\u3080\u5206\u6570\u306e\u8a08\u7b97\u3092\u3057\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002\u304b\u3051\u7b97\u3068\u5272\u308a\u7b97\u3067\u306f\u3001\u7279\u306b\u82e6\u52b4\u306a\u304f\u5206\u6570\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002\u4e00\u65b9\u3001\u5206\u6570\u306e\u8db3\u3057\u7b97\u307e\u305f\u306f\u5f15\u304d\u7b97\u3067\u306f\u3001\u5206\u6bcd\u304c\u540c\u3058\u3067\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002\u305d\u306e\u305f\u3081\u3001\u7d04\u5206\u307e\u305f\u306f\u901a\u5206\u3092\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u5206\u6bcd\u3092\u305d\u308d\u3048\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u305d\u3053\u3067\u56e0\u6570\u5206\u89e3\u3092\u3057\u305f\u308a\u3001\u5206\u6bcd\u3068\u5206\u5b50\u306e\u4e21\u65b9\u306b\u540c\u3058\u5024\u3092\u304b\u3051\u305f\u308a\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u5206\u6bcd\u3092\u305d\u308d\u3048\u308b\u3088\u3046\u306b\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u306a\u304a\u5206\u6570\u5f0f\u306e\u8a08\u7b97\u3067\u306f\u3001\u5e2f\u5206\u6570\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u8a08\u7b97\u3092\u7c21\u5358\u306b\u3067\u304d\u308b\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002\u307e\u305f\u7e41\u5206\u6570\u5f0f\u3092\u8a08\u7b97\u3057\u305f\u308a\u3001\u90e8\u5206\u5206\u6570\u5206\u89e3\u3092\u5229\u7528\u3057\u305f\u308a\u3059\u308b\u3053\u3068\u3067\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3082\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u5206\u6570\u306b\u6587\u5b57\u5f0f\u3092\u542b\u3080\u6574\u6570\u306b\u3064\u3044\u3066\u3001\u3069\u306e\u3088\u3046\u306b\u8a08\u7b97\u3059\u308c\u3070\u3044\u3044\u306e\u304b\u5b66\u3073\u307e\u3057\u3087\u3046\u3002\u305d\u3053\u3067\u3001\u5206\u6570\u5f0f\u306e\u8a08\u7b97\u65b9\u6cd5\u3092\u89e3\u8aac\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<h2>\u5206\u6570\u5f0f\u306e\u610f\u5473\u3068\u7d04\u5206\u30fb\u5272\u308a\u7b97<\/h2>\n<p>\u5206\u6bcd\u3068\u5206\u5b50\u304c\u6574\u5f0f\uff08\u5358\u9805\u5f0f\u3068\u591a\u9805\u5f0f\u306b\u3088\u308b\u5f0f\uff09\u3068\u306a\u3063\u3066\u3044\u308b\u5206\u6570\u3092\u5206\u6570\u5f0f\u3068\u3044\u3044\u307e\u3059\u3002\u4f8b\u3048\u3070\u3001\u4ee5\u4e0b\u306f\u5206\u6570\u5f0f\u3067\u3059\u3002<\/p>\n<ul>\n<li>\\(\\displaystyle\\frac{1}{x}\\)<\/li>\n<li>\\(\\displaystyle\\frac{x-1}{x^2+y}\\)<\/li>\n<\/ul>\n<p>\u4e00\u65b9\u3001\u5206\u6bcd\u307e\u305f\u306f\u5206\u5b50\u304c\u6574\u5f0f\u3067\u306a\u3044\u5834\u5408\u306f\u5206\u6570\u5f0f\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u4f8b\u3048\u3070\u3001\\(\\displaystyle\\frac{1}{\\sqrt{x}}\\)\u306f\u5206\u6570\u5f0f\u3067\u306f\u306a\u3044\u3067\u3059\u3002<\/p>\n<p><strong>\u30fb\u5206\u6570\u5f0f\u306e\u7d04\u5206<\/strong><\/p>\n<p>\u306a\u304a\u3001\u5206\u6570\u5f0f\u3067\u306f\u7d04\u5206\u304c\u53ef\u80fd\u3067\u3059\u3002\u5c0f\u5b66\u6821\u3067\u5b66\u3093\u3060\u8a08\u7b97\u65b9\u6cd5\u3068\u540c\u3058\u3067\u3042\u308a\u3001<span style=\"color: #0000ff;\">\u5206\u6bcd\u3068\u5206\u5b50\u306b\u540c\u3058\u5024\u304c\u3042\u308b\u5834\u5408\u3001\u5272\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u5024\u3092\u6d88\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/span>\u4f8b\u3048\u3070\u4ee5\u4e0b\u306e\u8a08\u7b97\u3067\u306f\u3001\u56e0\u6570\u5206\u89e3\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u7d04\u5206\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(\\displaystyle\\frac{x^2-1}{x^3+1}\\)<\/p>\n<p>\\(=\\displaystyle\\frac{(x+1)(x-1)}{(x+1)(x^2-x+1)}\\)<\/p>\n<p>\\(=\\displaystyle\\frac{x-1}{x^2-x+1}\\)<\/p>\n<p>\u56e0\u6570\u5206\u89e3\u306b\u3088\u3063\u3066\u540c\u3058\u5024\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u308c\u3070\u3001\u3053\u306e\u3088\u3046\u306b\u901a\u5206\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<h3>\u5206\u6570\u5f0f\u306e\u901a\u5206\u30fb\u304b\u3051\u7b97\uff1a\u8db3\u3057\u7b97\u3084\u5f15\u304d\u7b97\u3092\u5206\u6570\u5f0f\u3067\u884c\u3046<\/h3>\n<p>\u306a\u304a\u5206\u6570\u5f0f\u306e\u8db3\u3057\u7b97\u307e\u305f\u306f\u5f15\u304d\u7b97\u3092\u3059\u308b\u5834\u5408\u3001\u5fc5\u305a\u5206\u6bcd\u304c\u4e00\u81f4\u3057\u3066\u3044\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u901a\u5206\u3092\u3057\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002\u5206\u6570\u3067\u306f\u3001\u5206\u6bcd\u3068\u5206\u5b50\u306b\u540c\u3058\u5024\u3092\u304b\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u305d\u3053\u3067\u304b\u3051\u7b97\u3092\u884c\u3044\u3001\u5206\u6bcd\u3092\u305d\u308d\u3048\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u3053\u3046\u3057\u3066\u901a\u5206\u3092\u3059\u308c\u3070\u3001\u8db3\u3057\u7b97\u3084\u5f15\u304d\u7b97\u3092\u884c\u3048\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002\u305d\u308c\u3067\u306f\u3001\u4ee5\u4e0b\u306e\u8a08\u7b97\u3092\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(\\displaystyle\\frac{1}{x^2+x}-\\displaystyle\\frac{1}{x^2-1}\\)<\/p>\n<p>\u56e0\u6570\u5206\u89e3\u3092\u3057\u305f\u5f8c\u3001\u5206\u6bcd\u3092\u305d\u308d\u3048\u308b\u3068\u8a08\u7b97\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(\\displaystyle\\frac{1}{x^2+x}-\\displaystyle\\frac{1}{x^2-1}\\)<\/p>\n<p>\\(=\\displaystyle\\frac{1}{x(x+1)}-\\displaystyle\\frac{1}{(x+1)(x-1)}\\)<\/p>\n<p>\\(=\\displaystyle\\frac{x-1}{x(x+1)(x-1)}-\\displaystyle\\frac{x}{x(x+1)(x-1)}\\)<\/p>\n<p>\\(=-\\displaystyle\\frac{1}{x(x+1)(x-1)}\\)<\/p>\n<p>\u5206\u6bcd\u304c\u305d\u308d\u3063\u3066\u3044\u306a\u3044\u5834\u5408\u3001\u901a\u5206\u306b\u3088\u3063\u3066\u5206\u6bcd\u3092\u305d\u308d\u3048\u307e\u3057\u3087\u3046\u3002\u8db3\u3057\u7b97\u3084\u5f15\u304d\u7b97\u3067\u5206\u6bcd\u3092\u305d\u308d\u3048\u308b\u5fc5\u8981\u304c\u3042\u308b\u306e\u306f\u3001\u3059\u3079\u3066\u306e\u5206\u6570\u3067\u5171\u901a\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n<h3>\u4eee\u5206\u6570\u3092\u5e2f\u5206\u6570\u3078\u5909\u63db\u3057\u3001\u8a08\u7b97\u3059\u308b<\/h3>\n<p>\u5834\u5408\u306b\u3088\u3063\u3066\u306f\u3001\u4eee\u5206\u6570\u3092\u5e2f\u5206\u6570\u3078\u5909\u63db\u3059\u308b\u3068\u8a08\u7b97\u3057\u3084\u3059\u304f\u306a\u308b\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002\u5206\u6bcd\u3068\u5206\u5b50\u304c\u540c\u3058\u5834\u5408\u3001\u308f\u308a\u7b97\u306b\u3088\u3063\u3066\u7d04\u5206\u3059\u308c\u3070\u3001\u5024\u3092\u6d88\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u4eee\u5206\u6570\u306e\u5f62\u3092\u5909\u3048\u308b\u306e\u3067\u3059\u3002<\/p>\n<p>\u4f8b\u3048\u3070\u3001\\(\\displaystyle\\frac{x^2+3x+5}{x+1}\\)\u3092\u5e2f\u5206\u6570\u306b\u5909\u63db\u3059\u308b\u5834\u5408\u3001\u3069\u306e\u3088\u3046\u306b\u3059\u308c\u3070\u3044\u3044\u3067\u3057\u3087\u3046\u304b\u3002\u5206\u6bcd\u304c\\(x+1\\)\u3067\u3042\u308b\u305f\u3081\u3001\u5206\u5b50\u306b\\(x+1\\)\u3092\u4f5c\u308c\u3070\u3044\u3044\u3068\u308f\u304b\u308a\u307e\u3059\u3002\u305d\u3053\u3067\u3001\\(x+1\\)\u3092\u542b\u3080\u5f0f\u3092\u5206\u5b50\u306b\u4f5c\u308a\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u305f\u3060\u56e0\u6570\u5206\u89e3\u3060\u3051\u3067\u306f\u5f0f\u3092\u4f5c\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u305b\u3093\u3002\u305d\u3053\u3067\u3001\u56e0\u6570\u5206\u89e3\u3068\u8db3\u3057\u7b97\uff08\u307e\u305f\u306f\u5f15\u304d\u7b97\uff09\u3092\u5229\u7528\u3057\u307e\u3057\u3087\u3046\u3002\u305d\u3046\u3059\u308b\u3068\u3001\\(x^2+3x+5=(x+1)(x+2)+3\\)\u3068\u306a\u308a\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5f0f\u3092\u5909\u5f62\u3057\u307e\u3059\u3002<\/p>\n<p>\\(\\displaystyle\\frac{x^2+3x+5}{x+1}\\)<\/p>\n<p>\\(=\\displaystyle\\frac{(x+1)(x+2)+3}{x+1}\\)<\/p>\n<p>\\(=x+2+\\displaystyle\\frac{3}{x+1}\\)<\/p>\n<p>\u6574\u5f0f\u3068\u5206\u6570\u5f0f\u3092\u4e00\u3064\u306b\u307e\u3068\u3081\u308b\u8a08\u7b97\u3092\u3059\u308b\u3053\u3068\u306f\u591a\u3044\u3067\u3059\u3002\u3053\u306e\u3068\u304d\u3001\u4e00\u3064\u306e\u5206\u6570\u5f0f\u3092\u6574\u5f0f\u3068\u5206\u6570\u5f0f\u306b\u5206\u3051\u3089\u308c\u308b\u3088\u3046\u306b\u306a\u308b\u3053\u3068\u3082\u91cd\u8981\u3067\u3059\u3002<\/p>\n<p>\u4f8b\u3048\u3070\u3001\u4ee5\u4e0b\u306e\u554f\u984c\u306e\u7b54\u3048\u306f\u4f55\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<p>\\(\\displaystyle\\frac{x^2+x+2}{x+1}-\\displaystyle\\frac{x^2-x+2}{x-1}\\)<\/p>\n<p>\u3053\u306e\u5f0f\u3092\u8a08\u7b97\u3059\u308b\u3068\u304d\u3001\u901a\u5206\u306b\u3088\u3063\u3066\u5f15\u304d\u7b97\u3092\u3057\u3066\u3082\u3044\u3044\u3067\u3059\u3002\u305f\u3060\u3001\u305d\u306e\u8a08\u7b97\u65b9\u6cd5\u3067\u306f\u9762\u5012\u3067\u3059\u3002\u305d\u3053\u3067\u3001\u4eee\u5206\u6570\u3092\u5e2f\u5206\u6570\u306b\u5909\u3048\u3066\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(\\displaystyle\\frac{x^2+x+2}{x+1}-\\displaystyle\\frac{x^2-x+2}{x-1}\\)<\/p>\n<p>\\(=\\displaystyle\\frac{x(x+1)+2}{x+1}-\\displaystyle\\frac{x(x-1)+2}{x-1}\\)<\/p>\n<p>\\(=x+\\displaystyle\\frac{2}{x+1}-x-\\displaystyle\\frac{2}{x-1}\\)<\/p>\n<p>\\(=\\displaystyle\\frac{2(x-1)}{(x+1)(x-1)}-\\displaystyle\\frac{2(x+1)}{(x+1)(x-1)}\\)<\/p>\n<p>\\(=-\\displaystyle\\frac{4}{(x+1)(x-1)}\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u7b54\u3048\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n<h2>\u5206\u6bcd\u3068\u5206\u5b50\u306b\u5206\u6570\u5f0f\u304c\u5b58\u5728\u3059\u308b\u7e41\u5206\u6570\u5f0f\u306e\u8a08\u7b97<\/h2>\n<p>\u6b21\u306b\u3001\u7e41\u5206\u6570\u5f0f\u306e\u8a08\u7b97\u65b9\u6cd5\u3092\u5b66\u3073\u307e\u3057\u3087\u3046\u3002\u5206\u6bcd\u307e\u305f\u306f\u5206\u5b50\u306b\u5206\u6570\u5f0f\u304c\u5b58\u5728\u3059\u308b\u5834\u5408\u3001\u7e41\u5206\u6570\u5f0f\u3068\u3044\u3044\u307e\u3059\u3002\u4f8b\u3048\u3070\u3001\u4ee5\u4e0b\u306e\u5f0f\u306f\u7e41\u5206\u6570\u5f0f\u3067\u3059\u3002<\/p>\n<ul>\n<li>\\(\\displaystyle\\frac{1-\\displaystyle\\frac{1}{x}}{1+\\displaystyle\\frac{1}{x}}\\)<\/li>\n<\/ul>\n<p>\u554f\u984c\u306e\u89e3\u304d\u65b9\u306f2\u30d1\u30bf\u30fc\u30f3\u3042\u308a\u307e\u3059\u3002\u4e00\u3064\u306f\u3001\u308f\u308a\u7b97\u3092\u304b\u3051\u7b97\u306b\u5909\u63db\u3059\u308b\u65b9\u6cd5\u3067\u3059\u3002\u5206\u6570\u306f\u308f\u308a\u7b97\u3067\u3082\u3042\u308b\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u304b\u3051\u7b97\u306e\u5f0f\u306b\u5909\u5f62\u3059\u308b\u3053\u3068\u3067\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(\\displaystyle\\frac{1-\\displaystyle\\frac{1}{x}}{1+\\displaystyle\\frac{1}{x}}\\)<\/p>\n<p>\\(=\\left(1-\\displaystyle\\frac{1}{x}\\right)\u00f7\\left(1+\\displaystyle\\frac{1}{x}\\right)\\)<\/p>\n<p>\\(=\\displaystyle\\frac{x-1}{x}\u00f7\\displaystyle\\frac{x+1}{x}\\)<\/p>\n<p>\\(=\\displaystyle\\frac{x-1}{x}\u00d7\\displaystyle\\frac{x}{x+1}\\)<\/p>\n<p>\\(=\\displaystyle\\frac{x-1}{x+1}\\)<\/p>\n<p>\u3082\u3046\u4e00\u3064\u306e\u8a08\u7b97\u65b9\u6cd5\u3068\u3057\u3066\u306f\u3001\u7e6b\u5206\u6570\u5f0f\u306e\u307e\u307e\u901a\u5206\u3059\u308b\u65b9\u6cd5\u304c\u3042\u308a\u307e\u3059\u3002\u5206\u6570\u306e\u8a08\u7b97\u3067\u306f\u5206\u6bcd\u3068\u5206\u5b50\u306b\u540c\u3058\u6570\u3092\u304b\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u305f\u3081\u3001\u5206\u6bcd\u304c\u6d88\u3048\u308b\u5024\u3092\u304b\u3051\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3057\u307e\u3059\u3002<\/p>\n<p>\\(\\displaystyle\\frac{1-\\displaystyle\\frac{1}{x}}{1+\\displaystyle\\frac{1}{x}}\\)<\/p>\n<p>\\(=\\displaystyle\\frac{\\left(1-\\displaystyle\\frac{1}{x}\\right)\u00d7x}{\\left(1+\\displaystyle\\frac{1}{x}\\right)\u00d7x}\\)<\/p>\n<p>\\(=\\displaystyle\\frac{x-1}{x+1}\\)<\/p>\n<p>\u4f8b\u3048\u3070\u7e6b\u5206\u6570\u5f0f\u3067\u540c\u3058\u5024\u304c\u5206\u6bcd\u306b\u542b\u307e\u308c\u3066\u3044\u308b\u5834\u5408\u306a\u3069\u3001\u3053\u306e\u8a08\u7b97\u65b9\u6cd5\u306e\u307b\u3046\u304c\u697d\u306a\u30b1\u30fc\u30b9\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p><strong>\u30fb\u8907\u96d1\u306a\u7e6b\u5206\u6570\u5f0f\u306e\u8a08\u7b97\u554f\u984c<\/strong><\/p>\n<p>\u305d\u308c\u3067\u306f\u3001\u4ee5\u4e0b\u306e\u7e6b\u5206\u6570\u5f0f\u306e\u8a08\u7b97\u3092\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\n<li>\\(\\displaystyle\\frac{1}{x+\\displaystyle\\frac{1}{x+\\displaystyle\\frac{1}{x+1}}}\\)<\/li>\n<\/ul>\n<p>\u3053\u306e\u3088\u3046\u306a\u554f\u984c\u306b\u3064\u3044\u3066\u306f\u3001\u305d\u308c\u305e\u308c\u306e\u5206\u6570\u3092\u4e00\u3064\u305a\u3064\u7c21\u5358\u306b\u3057\u3066\u3044\u304d\u307e\u3057\u3087\u3046\u3002\u307e\u305a\u3001\\(x+\\displaystyle\\frac{1}{x+1}\\)\u306b\u7740\u76ee\u3059\u308b\u3068\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(x+\\displaystyle\\frac{1}{x+1}\\)<\/p>\n<p>\\(\\displaystyle\\frac{x(x+1)}{x+1}+\\displaystyle\\frac{1}{x+1}\\)<\/p>\n<p>\\(\\displaystyle\\frac{x^2+x+1}{x+1}\\)<\/p>\n<p>\u305d\u3053\u3067\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5f0f\u3092\u5909\u3048\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(\\displaystyle\\frac{1}{x+\\displaystyle\\frac{1}{\\displaystyle\\frac{x^2+x+1}{x+1}}}\\)<\/p>\n<p>\\(=\\displaystyle\\frac{1}{x+\\displaystyle\\frac{x+1}{x^2+x+1}}\\)<\/p>\n<p>\\(=\\displaystyle\\frac{1}{\\displaystyle\\frac{x(x^2+x+1)+x+1}{x^2+x+1}}\\)<\/p>\n<p>\\(=\\displaystyle\\frac{1}{\\displaystyle\\frac{x^3+x^2+2x+1}{x^2+x+1}}\\)<\/p>\n<p>\\(=\\displaystyle\\frac{x^2+x+1}{x^3+x^2+2x+1}\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u7e6b\u5206\u6570\u5f0f\u306e\u8a08\u7b97\u3092\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n<h3>\u90e8\u5206\u5206\u6570\u5206\u89e3\u306b\u3088\u3063\u3066\u7b54\u3048\u3092\u5f97\u308b<\/h3>\n<p>\u4e00\u3064\u306e\u5206\u6570\u5f0f\u3092\u8907\u6570\u306e\u5206\u6570\u5f0f\u3078\u3068\u5206\u89e3\u3059\u308b\u65b9\u6cd5\u3092\u90e8\u5206\u5206\u6570\u5206\u89e3\u3068\u3044\u3044\u307e\u3059\u3002\u90e8\u5206\u5206\u6570\u5206\u89e3\u306e\u516c\u5f0f\u3092\u77e5\u3063\u3066\u3044\u308c\u3070\u3001\u697d\u306b\u8a08\u7b97\u3067\u304d\u308b\u30b1\u30fc\u30b9\u304c\u3042\u308a\u307e\u3059\u3002\u90e8\u5206\u5206\u6570\u5206\u89e3\u3067\u306f\u3001\u4ee5\u4e0b\u306e\u516c\u5f0f\u3092\u5229\u7528\u3057\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(\\displaystyle\\frac{1}{(x+a)(x+b)}\\)\\(=\\displaystyle\\frac{1}{b-a}\\left(\\displaystyle\\frac{1}{x+a}-\\displaystyle\\frac{1}{x+b}\\right)\\)<\/li>\n<\/ul>\n<p>\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3059\u308b\u3068\u3001\u516c\u5f0f\u304c\u6210\u308a\u7acb\u3064\u3068\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<p>\\(\\displaystyle\\frac{1}{b-a}\\left(\\displaystyle\\frac{1}{x+a}-\\displaystyle\\frac{1}{x+b}\\right)\\)<\/p>\n<p>\\(=\\displaystyle\\frac{1}{b-a}\u00b7\\displaystyle\\frac{b-a}{(x+a)(x+b)}\\)<\/p>\n<p>\\(=\\displaystyle\\frac{1}{(x+a)(x+b)}\\)<\/p>\n<p>\u305d\u308c\u3067\u306f\u3001\u90e8\u5206\u5206\u6570\u5206\u89e3\u3092\u5229\u7528\u3057\u3066\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<p>\\(\\displaystyle\\frac{1}{(x+1)(x+3)}\\)\\(+\\displaystyle\\frac{1}{(x+3)(x+5)}\\)\\(+\\displaystyle\\frac{1}{(x+5)(x+7)}\\)<\/p>\n<p>\u901a\u5206\u306b\u3088\u3063\u3066\u8a08\u7b97\u3059\u308b\u3053\u3068\u306f\u53ef\u80fd\u3067\u3059\u3002\u305f\u3060\u3001\u305d\u306e\u5834\u5408\u306f\u8a08\u7b97\u904e\u7a0b\u304c\u8907\u96d1\u306b\u306a\u308a\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u90e8\u5206\u5206\u6570\u5206\u89e3\u306e\u516c\u5f0f\u3092\u5229\u7528\u3057\u3066\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002\u90e8\u5206\u5206\u6570\u5206\u89e3\u3092\u3059\u308b\u5834\u5408\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\\(\\displaystyle\\frac{1}{(x+1)(x+3)}\\)\\(+\\displaystyle\\frac{1}{(x+3)(x+5)}\\)\\(+\\displaystyle\\frac{1}{(x+5)(x+7)}\\)<\/p>\n<p>\\(=\\displaystyle\\frac{1}{2}\u00b7\\left(\\displaystyle\\frac{1}{x+1}-\\displaystyle\\frac{1}{x+3}\\right)\\)\\(+\\displaystyle\\frac{1}{2}\u00b7\\left(\\displaystyle\\frac{1}{x+3}-\\displaystyle\\frac{1}{x+5}\\right)\\)\\(+\\displaystyle\\frac{1}{2}\u00b7\\left(\\displaystyle\\frac{1}{x+5}-\\displaystyle\\frac{1}{x+7}\\right)\\)<\/p>\n<p>\\(=\\displaystyle\\frac{1}{2}\u00b7\\left(\\displaystyle\\frac{1}{x+1}-\\displaystyle\\frac{1}{x+7}\\right)\\)<\/p>\n<p>\\(=\\displaystyle\\frac{1}{2}\u00b7\\displaystyle\\frac{x+7-(x+1)}{(x+1)(x+7)}\\)<\/p>\n<p>\\(=\\displaystyle\\frac{3}{(x+1)(x+7)}\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u90e8\u5206\u5206\u6570\u5206\u89e3\u3092\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u7b54\u3048\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002\u90e8\u5206\u5206\u6570\u5206\u89e3\u306f\u91cd\u8981\u3067\u306f\u306a\u304f\u3001\u5229\u7528\u3067\u304d\u308b\u5834\u9762\u306f\u5c11\u306a\u3044\u3067\u3059\u3002\u305f\u3060\u3001\u5229\u7528\u3067\u304d\u308b\u5834\u5408\u306f\u8a08\u7b97\u304c\u7c21\u5358\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<h2>\u7d04\u5206\u3084\u901a\u5206\u306b\u3088\u308a\u3001\u5206\u6570\u5f0f\u306e\u8a08\u7b97\u3092\u884c\u3046<\/h2>\n<p>\u5c0f\u5b66\u6821\u3067\u5b66\u3076\u5206\u6570\u306e\u8a08\u7b97\u3067\u6587\u5b57\u306f\u542b\u307e\u308c\u3066\u304a\u3089\u305a\u3001\u6570\u5b57\u3092\u7528\u3044\u3066\u8a08\u7b97\u3059\u308b\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u6574\u5f0f\u3092\u542b\u3080\u5206\u6570\u306e\u8a08\u7b97\u3092\u884c\u3048\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u5206\u6570\u306b\u5358\u9805\u5f0f\u3084\u591a\u9805\u5f0f\u304c\u542b\u307e\u308c\u3066\u3044\u3066\u3082\u3001\u8a08\u7b97\u306e\u30eb\u30fc\u30eb\u306f\u540c\u3058\u3067\u3059\u3002\u304b\u3051\u7b97\u3084\u5272\u308a\u7b97\u3092\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u7d04\u5206\u3084\u901a\u5206\u3092\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u307e\u305f\u8db3\u3057\u7b97\u3084\u5f15\u304d\u7b97\u3092\u3059\u308b\u3068\u304d\u3001\u5fc5\u305a\u5206\u6bcd\u3092\u305d\u308d\u3048\u308b\u3088\u3046\u306b\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u306a\u304a\u3001\u5206\u6570\u5f0f\u3067\u306f\u7e41\u5206\u6570\u5f0f\u306e\u8a08\u7b97\u3092\u3059\u308b\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002\u307e\u305f\u5834\u5408\u306b\u3088\u3063\u3066\u306f\u3001\u90e8\u5206\u5206\u6570\u5206\u89e3\u304c\u6709\u52b9\u306a\u30b1\u30fc\u30b9\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u5206\u6570\u5f0f\u3067\u306f\u8a08\u7b97\u65b9\u6cd5\u306b\u30eb\u30fc\u30eb\u304c\u3042\u308b\u305f\u3081\u3001\u3069\u306e\u3088\u3046\u306b\u8a08\u7b97\u3059\u308c\u3070\u3044\u3044\u306e\u304b\u7406\u89e3\u3057\u307e\u3057\u3087\u3046\u3002\u8a08\u7b97\u6cd5\u306f\u5358\u9805\u5f0f\u3084\u591a\u9805\u5f0f\u3092\u542b\u307e\u306a\u3044\u5834\u5408\u3068\u540c\u3058\u3067\u3042\u308b\u305f\u3081\u3001\u5206\u6570\u306e\u8a08\u7b97\u30eb\u30fc\u30eb\u3092\u5fa9\u7fd2\u3057\u3066\u7b54\u3048\u3092\u5f97\u308b\u3088\u3046\u306b\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u9ad8\u6821\u6570\u5b66\u3067\u306f\u3001\u6587\u5b57\u3092\u542b\u3080\u5206\u6570\u306e\u8a08\u7b97\u3092\u3057\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002\u304b\u3051\u7b97\u3068\u5272\u308a\u7b97\u3067\u306f\u3001\u7279\u306b\u82e6\u52b4\u306a\u304f\u5206\u6570\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002\u4e00\u65b9\u3001\u5206\u6570\u306e\u8db3\u3057\u7b97\u307e\u305f\u306f\u5f15\u304d\u7b97\u3067\u306f\u3001\u5206\u6bcd\u304c\u540c\u3058\u3067\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002\u305d\u306e\u305f\u3081\u3001\u7d04\u5206\u307e\u305f\u306f\u901a\u5206\u3092\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":10990,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[13],"tags":[],"class_list":{"0":"post-10983","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-h-math"},"_links":{"self":[{"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts\/10983","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=10983"}],"version-history":[{"count":13,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts\/10983\/revisions"}],"predecessor-version":[{"id":11045,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts\/10983\/revisions\/11045"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/media\/10990"}],"wp:attachment":[{"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/media?parent=10983"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/categories?post=10983"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/tags?post=10983"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}