{"id":75205,"date":"2024-06-30T01:40:54","date_gmt":"2024-06-30T01:40:54","guid":{"rendered":"https:\/\/science-hub.click\/%E5%A4%9A%E9%A0%85%E5%BC%8F%E9%96%A2%E6%95%B0%28%E5%88%9D%E7%AD%89%E6%95%B0%E5%AD%A6%29%E3%81%AB%E3%81%A4%E3%81%84%E3%81%A6%E8%A9%B3%E3%81%97%E3%81%8F%E8%A7%A3%E8%AA%AC\/"},"modified":"2024-06-30T01:40:54","modified_gmt":"2024-06-30T01:40:54","slug":"%E5%A4%9A%E9%A0%85%E5%BC%8F%E9%96%A2%E6%95%B0%28%E5%88%9D%E7%AD%89%E6%95%B0%E5%AD%A6%29%E3%81%AB%E3%81%A4%E3%81%84%E3%81%A6%E8%A9%B3%E3%81%97%E3%81%8F%E8%A7%A3%E8%AA%AC","status":"publish","type":"post","link":"https:\/\/science-hub.click\/?p=75205","title":{"rendered":"\u591a\u9805\u5f0f\u95a2\u6570 (\u521d\u7b49\u6570\u5b66)\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac"},"content":{"rendered":"<div><div><table cellpadding=\"2\" cellspacing=\"0\"><tr><td><br\/><small>\u3053\u306e\u8a18\u4e8b\u306f\u30b7\u30ea\u30fc\u30ba\u306e\u4e00\u90e8\u3067\u3059<br\/><strong>\u5c0f\u5b66\u6821\u6570\u5b66<\/strong><\/small><\/td><\/tr><tr><td>\u4ee3\u6570<\/td><\/tr><tr><td>\u5206\u6790<\/td><\/tr><tr><td>\u7b97\u8853<\/td><\/tr><tr><td>\u30b8\u30aa\u30e1\u30c8\u30ea<\/td><\/tr><tr><td><span><a href=\"https:\/\/science-hub.click\/?p=57519\">\u8ad6\u7406<\/a><\/span><\/td><\/tr><tr><td><span><a href=\"https:\/\/science-hub.click\/?p=57009\">\u78ba\u7387<\/a><\/span><\/td><\/tr><tr><td><span><a href=\"https:\/\/science-hub.click\/?p=48844\">\u7d71\u8a08\u7684<\/a><\/span><\/td><\/tr><\/table><p><span><a href=\"https:\/\/science-hub.click\/?p=82762\">\u521d\u7b49\u6570\u5b66<\/a><\/span>\u3067\u306f\u3001<span><a href=\"https:\/\/science-hub.click\/?p=89803\">\u591a\u9805\u5f0f\u95a2\u6570\u306f<\/a><\/span>\u6b21\u306e\u5f62\u5f0f\u306e\u95a2\u6570\u306e\u5408\u8a08\u3067\u3059\u3002 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {\\begin{matrix} f_k: &amp; \\mathbb R &amp; \\rightarrow &amp; \\mathbb R \\\\ &amp; x &amp; \\mapsto &amp; a_kx^k \\end{matrix}} $$<\/div><\/dd><\/dl><p>\u95a2\u6570<i>f <sub>k \u306f<\/sub><\/i><strong>k<span>\u6b21<\/span>\u306e<span><a href=\"https:\/\/science-hub.click\/?p=23938\">\u5358\u9805<\/a><\/span>\u95a2\u6570<\/strong>\u3068\u547c\u3070\u308c\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001<span><a href=\"https:\/\/science-hub.click\/?p=35323\">\u591a\u9805\u5f0f<\/a><\/span>\u95a2\u6570\u306f\u5358\u9805\u5f0f\u95a2\u6570\u306e\u548c\u3067\u3042\u308b\u3068\u8a00\u3044\u307e\u3059\u3002<\/p><p>\u4e00\u822c\u306b\u3001\u521d\u7b49<span><a href=\"https:\/\/science-hub.click\/?p=66499\">\u6570\u5b66<\/a><\/span>\u3067\u5b66\u7fd2\u3055\u308c\u308b\u591a\u9805\u5f0f\u95a2\u6570\u306f\u6b21\u306e\u3088\u3046\u306b\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\R} $$<\/div>\u4fc2\u6570\u3092\u542b\u3080<div class=\"math-formual notranslate\">$$ {\\R} $$<\/div> \u3002\u3057\u304b\u3057\u3001\u6642\u3005\u3001\u591a\u9805\u5f0f\u95a2\u6570\u304c\u5b9a\u7fa9\u3055\u308c\u3066\u3044\u308b\u306e\u3092\u898b\u3064\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\mathbb C} $$<\/div>\u4fc2\u6570\u3092\u542b\u3080<div class=\"math-formual notranslate\">$$ {\\mathbb C} $$<\/div> \u3002\u3053\u308c\u3089\u306e\u591a\u9805\u5f0f\u95a2\u6570\u306f\u3001\u5909\u6570\u3068\u4fc2\u6570\u304c\u4ed6\u306e\u96c6\u5408\u306b\u5c5e\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3001\u3088\u308a\u4e00\u822c\u7684\u306a\u591a\u9805\u5f0f\u95a2\u6570\u306e\u7279\u6b8a\u306a\u30b1\u30fc\u30b9\u3067\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\R} $$<\/div>\u307e\u305f\u306f<div class=\"math-formual notranslate\">$$ {\\mathbb C} $$<\/div> \u3002<\/p><p>\u8aa4\u3063\u305f\u540d\u79f0\u3067\u3059\u304c\u3001\u591a\u9805\u5f0f\u95a2\u6570\u3092\u591a\u9805\u5f0f\u3068\u547c\u3076\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u95a2\u6570\u3068<span><a href=\"https:\/\/science-hub.click\/?p=56791\">\u5f62\u5f0f\u7684\u306a\u591a\u9805\u5f0f<\/a><\/span>\u3092\u6df7\u540c\u3057\u307e\u3059\u3002\u3053\u306e\u6df7\u4e71\u306f\u521d\u7b49\u6570\u5b66\u306e\u6587\u8108\u3067\u306f<span>\u6df1\u523b\u3067<\/span>\u306f\u3042\u308a\u307e\u305b\u3093\u304c\u3001<span>\u4e00\u822c\u7684\u306a\u4ee3\u6570\u5b66<\/span>\u3067\u306f\u8aa4\u89e3\u3092\u62db\u304f\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059\u3002<\/p><h2><span>\u4f8b<\/span><\/h2><div><div><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"5 \u6b21\u306e\u591a\u9805\u5f0f\u306e\u4f8b\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/GzzoSv9Qgyc\/0.jpg\" style=\"width:100%;\"\/><\/figure><div> 5 \u6b21\u306e\u591a\u9805\u5f0f\u306e\u4f8b<\/div><\/div><\/div><p>\u8868\u8a18\u4e0a\u306e\u904e\u8ca0\u8377\u3092\u907f\u3051\u308b\u305f\u3081\u306b\u3001\u591a\u9805\u5f0f\u95a2\u6570\u306e\u5f0f\u306e\u307f\u3092\u6307\u5b9a\u3057\u307e\u3059\u3002\u305d\u306e\u958b\u59cb<span><a href=\"https:\/\/science-hub.click\/?p=57227\">\u30bb\u30c3\u30c8<\/a><\/span>\u306f\u5e38\u306b<div class=\"math-formual notranslate\">$$ {\\R} $$<\/div>\u307e\u305f\u306f<div class=\"math-formual notranslate\">$$ {\\mathbb C} $$<\/div> \u3002<\/p><p>\u3082\u3057<div class=\"math-formual notranslate\">$$ {f(x) = x^5 + 6x^3 + 3x^2 &#8211; \\sqrt{2}x + 3} $$<\/div> , <i>f \u306f<\/i>5 \u6b21\u306e\u591a\u9805\u5f0f\u95a2\u6570\u3067\u3059\u3002<\/p><p>\u975e\u30bc\u30ed\u591a\u9805\u5f0f\u95a2\u6570\u306e\u6b21\u6570\u306f\u3001\u305d\u306e\u6700\u9ad8\u6b21\u6570\u306e\u5358\u9805\u95a2\u6570\u306e\u6b21\u6570\u3067\u3059\u3002\u975e\u30bc\u30ed\u5b9a\u6570\u95a2\u6570\u306f\u3001\u6b21\u6570 0 \u306e\u5358\u9805\u95a2\u6570\u3067\u3059\u3002\u30bc\u30ed\u5b9a\u6570\u95a2\u6570\u306f\u3001\u6b21\u6570\u306b\u7b49\u3057\u3044\u591a\u9805\u5f0f\u95a2\u6570\u3068\u547c\u3070\u308c\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {-\\infty} $$<\/div><\/p><p> <i>f(x) = ax + b<\/i>\u3067\u5b9a\u7fa9\u3055\u308c\u3001 <i>a<\/i>\u304c\u30bc\u30ed\u4ee5\u5916\u306e<span><a href=\"https:\/\/science-hub.click\/?p=69085\">\u30a2\u30d5\u30a3\u30f3\u95a2\u6570 \u306f<\/a><\/span>\u30011 \u6b21\u306e<span>\u4e8c\u9805<\/span>\u95a2\u6570\u3067\u3059\u3002 <span><i>f<\/i> ( <i>x<\/i> ) = <i>a<\/i> <i>x<\/i> <sup>2<\/sup> + <i>b<\/i> <i>x<\/i> + <i>c<\/i><\/span>\u3067\u5b9a\u7fa9\u3055\u308c\u3001 <i>a<\/i>\u304c\u975e\u30bc\u30ed\u3068\u306a\u308b\u95a2\u6570\u306f\u30012 \u6b21\u306e 3 \u9805\u95a2\u6570\u3067\u3059\u3002<\/p><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u591a\u9805\u5f0f\u95a2\u6570 (\u521d\u7b49\u6570\u5b66)\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/b-d4gJkTeEM\/0.jpg\" style=\"width:100%;\"\/><\/figure><h2><span>\u6839<\/span><\/h2><p>f(r) = 0 \u306e\u5834\u5408\u3001 r \u306f\u591a\u9805\u5f0f<i>f<\/i>\u306e<strong>\u6839<\/strong>\u3067\u3042\u308b\u3068\u8a00\u3044\u3001 <i>(x &#8211; r)<\/i>\u306b\u3088\u3063\u3066\u591a\u9805\u5f0f\u3092\u56e0\u6570\u5206\u89e3\u3067\u304d\u308b\u3053\u3068\u3092\u793a\u3057\u307e\u3059\u3002<\/p><dl><dt>\u6b21\u6570 1 \u306e\u4e8c\u9805<\/dt><dd>f(x) = ax + b (\u30bc\u30ed\u4ee5\u5916)<\/dd><dd>\u30eb\u30fc\u30c8<i>r = -b\/a<\/i><\/dd><dd>\u56e0\u6570\u5206\u89e3: <i>f(x) = a(x &#8211; r)<\/i><\/dd><\/dl><dl><dt> 2\u6b21\u4e09\u9805\u5f0f<\/dt><\/dl><ul><li>\u4e3b\u306a\u8a18\u4e8b: \u4e8c\u6b21<span><a href=\"https:\/\/science-hub.click\/?p=66517\">\u65b9\u7a0b\u5f0f<\/a><\/span><\/li><\/ul><p><span><a href=\"https:\/\/science-hub.click\/?p=81583\">\u5224\u5225\u5f0f<\/a><\/span>\u306e\u7b26\u53f7\u306b\u5fdc\u3058\u3066\u30012 \u6b21\u591a\u9805\u5f0f\u95a2\u6570\u306f 0 \u307e\u305f\u306f 2 \u3064\u306e\u6839 (\u304a\u305d\u3089\u304f\u7d50\u5408) \u3092\u6301\u3061\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\R} $$<\/div>\u3057\u304b\u3057\u3001\u307e\u3060\u6839\u304c2\u3064\u3042\u308a\u307e\u3059<div class=\"math-formual notranslate\">$$ {\\mathbb C} $$<\/div> \u3002\u30eb\u30fc\u30c8\u304c 2 \u3064\u3042\u308b\u5834\u5408\u3001\u6b21\u306e\u8981\u7d20\u304c\u8003\u616e\u3055\u308c\u307e\u3059\u3002<\/p><dl><dd> f(x) = a(x &#8211; r <sub>1 <sub>)(x &#8211; r <sub>2<\/sub> )<\/sub><\/sub><\/dd><\/dl><dl><dt>\u4e00\u822c\u7684\u306a\u5834\u5408<\/dt><\/dl><p>\u521d\u7b49\u6570\u5b66\u3067\u306f\u30012 \u3088\u308a\u5927\u304d\u3044\u6b21\u6570\u306e\u591a\u9805\u5f0f\u306e\u6839<span>\u3092\u898b\u3064\u3051\u308b\u3053\u3068\u306f<\/span>\u3001\u300c\u660e\u767d\u306a\u300d\u6839\u3092\u63a2\u3059\u3053\u3068\u306b\u3088\u3063\u3066\u5b9f\u9a13\u7684\u306b\u306e\u307f\u884c\u308f\u308c\u307e\u3059\u3002<\/p><dl><dd> <i>f(x) = x <sup>3<\/sup> + 3x <sup>2<\/sup> &#8211; 16x + 12<\/i>\u306e\u5834\u5408\u3001\u5358\u7d14\u306a\u5024\u306e\u753b\u50cf\u306e\u4e2d\u3067\u3082\u7279\u306b f(2) \u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u3067\u30012 \u304c<i>f<\/i>\u306e\u6839\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u6b21\u306b\u3001<span><a href=\"https:\/\/science-hub.click\/?p=40276\">\u30db\u30fc\u30ca\u30fc\u6cd5<\/a><\/span>\u3001\u591a\u9805\u5f0f\u306e<span><a href=\"https:\/\/science-hub.click\/?p=95961\">\u9664\u7b97<\/a><\/span>\u3001\u540c\u5b9a\u306a\u3069\u306e\u3055\u307e\u3056\u307e\u306a\u65b9\u6cd5\u3092\u4f7f\u7528\u3057\u3066\u56e0\u6570\u5206\u89e3\u304c\u884c\u308f\u308c\u307e\u3059 (\u4e0b\u8a18\u3092\u53c2\u7167)\u3002<\/dd><\/dl><h2><span>\u8b58\u5225<\/span><\/h2><p>\u3067\u5b9a\u7fa9\u3055\u308c\u305f\u591a\u9805\u5f0f\u95a2\u6570\u304c<div class=\"math-formual notranslate\">$$ {\\R} $$<\/div>\u307e\u305f\u306f<div class=\"math-formual notranslate\">$$ {\\mathbb C} $$<\/div>\u6b21\u6570 n \u306e\u5834\u5408\u3001n \u56de\u3092\u8d85\u3048\u3066\u30ad\u30e3\u30f3\u30bb\u30eb\u3059\u308b\u3053\u3068\u306f\u3067\u304d\u307e\u305b\u3093\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u6b21\u6570\u304c n \u4ee5\u4e0b\u3067\u3001n \u3092\u8d85\u3048\u308b\u70b9\u3067\u4e00\u81f4\u3059\u308b 2 \u3064\u306e\u591a\u9805\u5f0f\u95a2\u6570\u306f\u3001\u5fc5\u305a\u540c\u4e00\u3067\u3042\u308b (\u540c\u3058\u6b21\u6570\u3068\u540c\u3058\u4fc2\u6570) \u3068\u8a00\u3048\u307e\u3059\u3002\u3053\u308c\u3092\u8b58\u5225\u3068\u3044\u3044\u307e\u3059\u3002<\/p><p>\u3053\u308c\u306f\u3001\u7279\u5b9a\u306e\u5f0f\u306b\u5bfe\u3057\u3066\u3088\u308a\u9069\u5207\u306a\u5f62\u5f0f\u3092\u898b\u3064\u3051\u308b\u3053\u3068\u3092\u53ef\u80fd\u306b\u3059\u308b\u52b9\u679c\u7684\u306a\u30d7\u30ed\u30d1\u30c6\u30a3\u3067\u3059\u3002<\/p><p><strong>\u4f8b 1<\/strong> :<span><a href=\"https:\/\/science-hub.click\/?p=95765\">\u3059\u3079\u3066\u306e<\/a><\/span>\u5b9f\u6570<i>x<\/i>\u306b\u3064\u3044\u3066<i>\u3001 x <sup>3<\/sup> + 3x <sup>2<\/sup> &#8211; 16x + 12 = (x &#8211; 2)(x <sup>2<\/sup> + ax + b)<\/i>\u3068\u306a\u308b a \u3068 b \u3092\u898b\u3064\u3051\u307e\u3059\u3002<\/p><dl><dd> <i>f(x) = x <sup>3<\/sup> + 3x <sup>2<\/sup> &#8211; 16x + 12<\/i>\u3068\u3057\u307e\u3059\u3002<\/dd><dd> <i>g(x) = (x &#8211; 2)(x <sup>2<\/sup> + ax + b)<\/i>\u3068\u3057\u307e\u3059\u3002<\/dd><dd> <i>g(x)<\/i>\u3092\u5c55\u958b\u3057\u307e\u3059: <i>g(x) = x <sup>3<\/sup> + (a &#8211; 2)x <sup>2<\/sup> + (b &#8211; 2a)x &#8211; 2b<\/i><\/dd><dd> 2 \u3064\u306e\u591a\u9805\u5f0f\u306f 3 \u3064\u4ee5\u4e0a\u306e\u70b9\u3067\u4e00\u81f4\u3059\u308b\u305f\u3081\u3001\u540c\u3058\u6b21\u6570 (3 \u6b21) \u3067\u540c\u3058<span><a href=\"https:\/\/science-hub.click\/?p=99105\">\u4fc2\u6570<\/a><\/span>\u3092\u6301\u3061\u3001\u540c\u4e00\u3067\u3059\u3002\u8a00\u3044\u63db\u3048\u308b\u3068\u3001\u3059\u3079\u3066\u306e<i>x<\/i>\u306b\u3064\u3044\u3066<i>f(x) = g(x) \u3068\u306a\u308a<\/i>\u307e\u3059\u3002 <\/dd><dd><div class=\"math-formual notranslate\">$$ {\\begin{cases} 1 = 1 \\\\ 3 = a &#8211; 2\\\\ -16 = b &#8211; 2a\\\\ 12 = -2b \\end{cases} \\Leftrightarrow \\begin{cases} a = 5\\\\ b = -6 \\end{cases}} $$<\/div><\/dd><dd>\u6b21\u306b\u3001 <i>f(x) = (x &#8211; 2)(x <sup>2<\/sup> + 5x &#8211; 6)<\/i>\u3092\u53d6\u5f97\u3057\u307e\u3059\u3002<\/dd><\/dl><p><strong>\u4f8b 2<\/strong> : <i>f(x) = x <sup>4<\/sup> &#8211; 4x <sup>3<\/sup> + 9x <sup>2<\/sup> &#8211; 10x -1<\/i>\u3067\u5b9a\u7fa9\u3055\u308c\u308b\u591a\u9805\u5f0f\u95a2\u6570<i>f<\/i>\u306e\u7814\u7a76\u306b\u3088\u308a\u3001\u4ee3\u8868\u7684\u306a<span><a href=\"https:\/\/science-hub.click\/?p=78293\">\u66f2\u7dda<\/a><\/span>\u306b\u5bfe\u3059\u308b\u65b9\u7a0b\u5f0f<i>x = 1<\/i>\u306e<span><a href=\"https:\/\/science-hub.click\/?p=30620\">\u5bfe\u79f0<\/a><\/span>\u8ef8\u306e\u5b58\u5728\u304c\u660e\u3089\u304b\u306b\u306a\u308a\u3001<span>\u6b21\u306e\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059<\/span>\u3002\u3059\u3079\u3066\u306e\u5b9f\u6570<i>x<\/i>\u306b\u3064\u3044\u3066\u3001 <i>f(x) = (x-1) <sup>4<\/sup> + a(x &#8211; 1) <sup>2<\/sup> + b<\/i>\u3068\u306a\u308b 2 \u3064\u306e\u5b9f\u6570<i>a<\/i>\u304a\u3088\u3073<i>b<\/i>\u3092\u63a2\u3057\u307e\u3059\u3002<\/p><dl><dd> <i>g(x) = (x-1) <sup>4<\/sup> + a(x &#8211; 1) <sup>2<\/sup> + b<\/i>\u3068\u3057\u307e\u3059\u3002<\/dd><dd>\u79c1\u305f\u3061\u306f\u6ce8\u76ee\u3059\u3079\u304d\u30a2\u30a4\u30c7\u30f3\u30c6\u30a3\u30c6\u30a3\u306e\u304a\u304b\u3052\u3067<i>g(x)<\/i>\u3092\u958b\u767a\u3057\u307e\u3059\u3002<dl><dd> <i>g(x) = x <sup>4<\/sup> &#8211; 4x <sup>3<\/sup> + (6 + a)x <sup>2<\/sup> &#8211; (4 + 2a)x + 1 + a + b<\/i><\/dd><\/dl><\/dd><dd>\u79c1\u305f\u3061\u306f\u8b58\u5225\u3057\u307e\u3059<\/dd><dd><div class=\"math-formual notranslate\">$$ {\\begin{cases} 1 = 1 \\\\ -4 = -4\\\\ 9 = 6 + a\\\\ 10 = 4 + 2a\\\\ -1 = 1 + a + b \\end{cases} \\Leftrightarrow \\begin{cases} a = 3\\\\ b = -5 \\end{cases}} $$<\/div><\/dd><dd>\u6b21\u306b\u3001 <i>f(x) = (x-1) <sup>4<\/sup> + 3(x-1) <sup>2<\/sup> &#8211; 5<\/i>\u3092\u53d6\u5f97\u3057\u307e\u3059\u3002<\/dd><\/dl><p><strong>\u4f8b 3<\/strong> : \u3059\u3079\u3066\u306e<span><i>x<\/i><\/span>\u306b\u5bfe\u3057\u3066\u5b9a\u7fa9\u3055\u308c\u305f<span><a href=\"https:\/\/science-hub.click\/?p=12424\">\u6709\u7406\u95a2\u6570<\/a><\/span>\u3092 2 \u3068\u306f\u7570\u306a\u308b\u3082\u306e\u306b\u3057\u3088\u3046\u3068\u3057\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {f(x) = \\frac{2x^2 + 3x &#8211; 5}{x &#8211; 2}} $$<\/div>\u7e2e\u5c0f\u3055\u308c\u305f\u5f62\u3067\u3002\u3064\u307e\u308a\u3001\u3059\u3079\u3066\u306e<i>x \u304c<\/i><i>2<\/i>\u3068\u7570\u306a\u308b\u5834\u5408\u306b\u3001\u6b21\u306e\u3088\u3046\u306a 3 \u3064\u306e\u5b9f\u6570<i>a<\/i> \u3001 <i>b<\/i> \u3001 <i>c \u3092<\/i>\u898b\u3064\u3051\u3088\u3046\u3068\u3057\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {f(x) = ax + b + \\frac{c}{x &#8211; 2}} $$<\/div><\/p><dl><dd>\u30dd\u30fc\u30ba\u3092\u3068\u308b<div class=\"math-formual notranslate\">$$ {g(x) = ax + b + \\frac{c}{x &#8211; 2}} $$<\/div><\/dd><dd>\u540c\u3058\u5206\u6bcd\u306b\u7e2e\u5c0f\u3057\u307e\u3059<div class=\"math-formual notranslate\">$$ {g(x) = \\frac{ax^2 + (b &#8211; 2a)x + c &#8211; 2b}{x &#8211; 2}} $$<\/div><\/dd><dd> 2 \u3064\u306e\u95a2\u6570\u306f\u540c\u3058\u5206\u6bcd\u3092\u6301\u3061\u3001\u5206\u5b50\u304c\u3053\u306e\u540c\u3058\u30bb\u30c3\u30c8\u4e0a\u3067\u4e00\u81f4\u3059\u308b\u5834\u5408\u306b\u9650\u308a\u30012 \u4ee5\u5916\u306e\u4efb\u610f\u306e<i>x<\/i>\u306b\u3064\u3044\u3066\u4e00\u81f4\u3057\u307e\u3059\u3002\u5206\u5b50\u306f 2 \u3064\u4ee5\u4e0a\u306e\u70b9\u3067\u4e00\u81f4\u3059\u308b 2 \u6b21\u591a\u9805\u5f0f\u3067\u3042\u308b\u305f\u3081\u3001\u305d\u308c\u3089\u306e\u4fc2\u6570\u3092\u7279\u5b9a\u3067\u304d\u307e\u3059\u3002 <\/dd><dd><div class=\"math-formual notranslate\">$$ {\\begin{cases} 2 = a \\\\ 3 = b &#8211; 2a\\\\ -5 = c &#8211; 2b \\end{cases} \\Leftrightarrow \\begin{cases} a = 2\\\\ b = 7\\\\ c = 9 \\end{cases}} $$<\/div><\/dd><dd>\u6b21\u306b\u3001 <div class=\"math-formual notranslate\">$$ {f(x) = 2x + 7 + \\frac{9}{x &#8211; 2}} $$<\/div><\/dd><\/dl><h2><span>\u5bfe\u79f0\u6027\u306e\u8981\u7d20<\/span><\/h2><p>\u591a\u9805\u5f0f\u95a2\u6570<i>f<\/i>\u3092\u8868\u3059\u66f2\u7dda\u306f\u3001 <i>f \u3092<\/i>\u69cb\u6210\u3059\u308b\u3059\u3079\u3066\u306e\u5358\u9805\u5f0f\u304c\u5076\u6570\u6b21\u3067\u3042\u308b\u5834\u5408\u306b\u9650\u308a\u3001\u305d\u306e\u5bfe\u79f0\u8ef8\u3068\u3057\u3066\u8ef8<i>(Oy)<\/i>\u3092\u6301\u3061\u307e\u3059\u3002\u304a\u305d\u3089\u304f\u3053\u306e\u6027\u8cea\u304c\u3001\u5bfe\u79f0\u8ef8\u3068\u3057\u3066\u8ef8<i>(Oy)<\/i>\u3092\u3082\u3064\u4ee3\u8868\u66f2\u7dda\u3092\u3082\u3064\u95a2\u6570\u306b\u5bfe\u3059\u308b<i>\u5076\u95a2\u6570<\/i>\u306e\u540d\u524d\u306e\u7531\u6765\u3068\u306a\u3063\u3066\u3044\u307e\u3059\u3002<\/p><p>\u540c\u69d8\u306b\u3001\u591a\u9805\u5f0f\u95a2\u6570<i>f<\/i>\u306e\u66f2\u7dda\u306f\u3001 <i>f \u3092<\/i>\u69cb\u6210\u3059\u308b\u3059\u3079\u3066\u306e\u5358\u9805\u5f0f\u304c\u5947\u6570\u6b21\u3067\u3042\u308b\u5834\u5408\u306b\u9650\u308a\u3001\u5bfe\u79f0\u4e2d\u5fc3\u3068\u3057\u3066<span><a href=\"https:\/\/science-hub.click\/?p=43578\">\u70b9<\/a><\/span><i>O \u3092<\/i>\u6301\u3061\u307e\u3059\u3002<\/p><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u591a\u9805\u5f0f\u95a2\u6570 (\u521d\u7b49\u6570\u5b66)\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/Y4OlWTaKneI\/0.jpg\" style=\"width:100%;\"\/><\/figure><h2><span>\u52c9\u5f37<\/span><\/h2><p><span><a href=\"https:\/\/science-hub.click\/?p=7150\">\u30a2\u30d5\u30a3\u30f3<\/a><\/span>\u95a2\u6570\u3068\u4e8c\u6b21\u95a2\u6570\u306e\u7814\u7a76\u304c\u5fb9\u5e95\u7684\u306b\u884c\u308f\u308c\u307e\u3059\u3002\u9ad8\u6b21\u306e\u591a\u9805\u5f0f\u95a2\u6570\u306b\u95a2\u3057\u3066\u306f\u3001\u3044\u304f\u3064\u304b\u306e\u7d50\u679c\u304c\u5f97\u3089\u308c\u307e\u3059\u3002<\/p><p>\u591a\u9805\u5f0f\u95a2\u6570\u306f\u5fae\u5206\u53ef\u80fd\u3067\u3059<div class=\"math-formual notranslate\">$$ {\\R} $$<\/div> \u3002 k \u304c\u30bc\u30ed\u3067\u306f\u306a\u3044\u5834\u5408\u3001\u5358\u9805\u95a2\u6570<span><i>f<\/i> <sub><i>k<\/i><\/sub><\/span>\u306e\u5c0e\u95a2\u6570\u306f\u6b21\u306e\u3088\u3046\u306b\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {f_k(x) = a_kx^k \\,} $$<\/div>\u6771<div class=\"math-formual notranslate\">$$ {f&#8217;_k(x) = k\\times a_kx^{k &#8211; 1}} $$<\/div> \u3002\u5b9a\u6570\u5358\u9805\u95a2\u6570\u306e\u5c0e\u95a2\u6570\u306f\u30bc\u30ed\u95a2\u6570\u3067\u3059\u3002<\/p><p>\u3057\u305f\u304c\u3063\u3066\u3001\u591a\u9805\u5f0f\u95a2\u6570\u306f\u9023\u7d9a\u3067\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\R} $$<\/div> \u3002<\/p><p>\u591a\u9805\u5f0f\u95a2\u6570\u306e<span><a href=\"https:\/\/science-hub.click\/?p=96157\">\u7121\u9650\u5927<\/a><\/span>\u306e\u9650\u754c\u306f\u3001\u305d\u306e\u6700\u9ad8\u6b21\u6570\u306e\u5358\u9805\u5f0f\u306e\u9650\u754c\u3068\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002<\/p><ul><li>\u306e\u9650\u754c<div class=\"math-formual notranslate\">$$ {+ \\infty} $$<\/div> <span><i>n<\/i> <i>x<\/i> <sup><i>n<\/i><\/sup><sub><i>\u306f<\/i><\/sub><\/span><div class=\"math-formual notranslate\">$$ {+ \\infty} $$<\/div> <span><i>n<\/i><sub><i>\u304c<\/i><\/sub><\/span>\u6b63\u306e\u5834\u5408\u3001\u304a\u3088\u3073<div class=\"math-formual notranslate\">$$ {-\\infty} $$<\/div>\u3055\u3082\u306a\u3044\u3068\u3002<\/li><li>\u306e\u9650\u754c<div class=\"math-formual notranslate\">$$ {- \\infty} $$<\/div> <span><i>n<\/i> <i>x<\/i> <sup><i>n<\/i><\/sup><sub><i>\u306f<\/i><\/sub><\/span><ul><li><div class=\"math-formual notranslate\">$$ {+ \\infty} $$<\/div> <span><i>n<\/i><sub><i>\u304c<\/i><\/sub><\/span>\u6b63\u3067\u3042\u308a\u3001n \u304c\u5076\u6570\u306e\u5834\u5408<\/li><li><div class=\"math-formual notranslate\">$$ {- \\infty} $$<\/div> <span><i>n<\/i><sub><i>\u304c<\/i><\/sub><\/span>\u6b63\u3067\u3001n \u304c\u5947\u6570\u306e\u5834\u5408<\/li><li><div class=\"math-formual notranslate\">$$ {- \\infty} $$<\/div> <span><i>n<\/i><sub><i>\u304c<\/i><\/sub><\/span>\u8ca0\u3067\u3042\u308a\u3001n \u304c\u5076\u6570\u306e\u5834\u5408<\/li><li><div class=\"math-formual notranslate\">$$ {+ \\infty} $$<\/div> <span><i>n<\/i><sub><i>\u304c<\/i><\/sub><\/span>\u8ca0\u3067\u3042\u308a\u3001n \u304c\u5947\u6570\u306e\u5834\u5408\u3002<\/li><\/ul><\/li><\/ul><h2><span>\u3044\u304f\u3064\u304b\u306e\u8208\u5473\u6df1\u3044\u30aa\u30fc\u30d7\u30cb\u30f3\u30b0<\/span><\/h2><p>\u521d\u7b49\u6570\u5b66\u306b\u306f\u3001<span><a href=\"https:\/\/science-hub.click\/?p=56953\">\u30ab\u30eb\u30c0\u30f3\u6cd5<\/a><\/span>\u3092\u4f7f\u7528\u3057\u305f\u6b21\u6570 3 \u306e\u591a\u9805\u5f0f\u306e\u6839\u306e\u691c\u7d22\u3084\u3001\u6b21\u6570 4 \u306e\u591a\u9805\u5f0f\u306e\u6839\u306a\u3069\u306e\u8208\u5473\u6df1\u3044\u7d50\u679c\u306f\u542b\u307e\u308c\u307e\u305b\u3093\u3002\u3053\u306e\u3088\u3046\u306a\u65b9\u6cd5\u304c\u5b58\u5728\u3059\u308b\u3068\u3044\u3046\u3053\u3068\u306f\u30015 \u4ee5\u4e0a\u306e\u6b21\u6570\u306b\u5bfe\u3059\u308b\u4e00\u822c\u7684\u306a\u65b9\u6cd5\u304c\u3042\u308b\u3053\u3068\u3092\u793a\u5506\u3057\u3066\u3044\u308b\u304b\u3082\u3057\u308c\u307e\u305b\u3093\u304c\u3001\u305d\u3046\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/p><p> 2 \u6b21\u306e\u591a\u9805\u5f0f\u306e\u6839\u306e\u5b58\u5728\u306f\u3001n \u6b21\u306e\u591a\u9805\u5f0f\u306b\u306f\u6b21\u306e\u4fc2\u6570\u304c\u3042\u308b\u3068\u3044\u3046<span><a href=\"https:\/\/science-hub.click\/?p=26454\">\u4ee3\u6570<\/a><\/span>\u306e\u57fa\u672c<span>\u5b9a\u7406<\/span>\u3068\u306e\u6700\u521d\u306e\u63a5\u89e6\u3067\u3059<span><a href=\"https:\/\/science-hub.click\/?p=16042\">\u3002<\/a><\/span> <div class=\"math-formual notranslate\">$$ {\\mathbb R} $$<\/div> n \u500b\u306e\u30eb\u30fc\u30c8\u304c\u3042\u308a\u3001\u304a\u305d\u3089\u304f\u7d50\u5408\u3055\u308c\u3066\u3044\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\mathbb C} $$<\/div> \u3002<\/p><\/div><h2 class=\"ref_link\">\u53c2\u8003\u8cc7\u6599<\/h2><ol><li><a class=\"notranslate\" href=\"https:\/\/ar.wikipedia.org\/wiki\/%D8%AF%D8%A7%D9%84%D8%A9_%D9%83%D8%AB%D9%8A%D8%B1%D8%A9_%D8%A7%D9%84%D8%AD%D8%AF%D9%88%D8%AF\">\u062f\u0627\u0644\u0629 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u2013 arabe<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/cv.wikipedia.org\/wiki\/%D0%A2%D1%83%D0%BB%D0%BB%D0%B8_%D1%80%D0%B0%D1%86%D0%B8%D0%BE%D0%BD%D0%B0%D0%BB%D0%BB%C4%83_%D1%84%D1%83%D0%BD%D0%BA%D1%86%D0%B8\">\u0422\u0443\u043b\u043b\u0438 \u0440\u0430\u0446\u0438\u043e\u043d\u0430\u043b\u043b\u0103 \u0444\u0443\u043d\u043a\u0446\u0438 \u2013 tchouvache<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/de.wikipedia.org\/wiki\/Ganzrationale_Funktion\">Ganzrationale Funktion \u2013 allemand<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/el.wikipedia.org\/wiki\/%CE%A0%CE%BF%CE%BB%CF%85%CF%89%CE%BD%CF%85%CE%BC%CE%B9%CE%BA%CE%AE_%CF%83%CF%85%CE%BD%CE%AC%CF%81%CF%84%CE%B7%CF%83%CE%B7\">\u03a0\u03bf\u03bb\u03c5\u03c9\u03bd\u03c5\u03bc\u03b9\u03ba\u03ae \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7 \u2013 grec<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/en.wikipedia.org\/wiki\/Polynomial_function\">Polynomial function \u2013 anglais<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/es.wikipedia.org\/wiki\/Funci%C3%B3n_polin%C3%B3mica\">Funci\u00f3n polin\u00f3mica \u2013 espagnol<\/a><\/li><\/ol><\/div>\n<div class=\"feature-video\">\n <h2>\n  \u591a\u9805\u5f0f\u95a2\u6570 (\u521d\u7b49\u6570\u5b66)\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\u30fb\u95a2\u9023\u52d5\u753b\n <\/h2>\n <div class=\"video-item\">\n  \n  <figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\">\n   <div class=\"wp-block-embed__wrapper\">\n    <iframe loading=\"lazy\" title=\"\u3010\u885d\u6483\u306e\u9577\u3055\u3011\u3082\u306f\u3084\u4f7f\u3044\u6240\u304c\u306a\u3044\u516c\u5f0fwww\" width=\"500\" height=\"375\" src=\"https:\/\/www.youtube.com\/embed\/tzRXAJKwvH0?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n   <\/div>\n  <\/figure>\n  \n <\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u3053\u306e\u8a18\u4e8b\u306f\u30b7\u30ea\u30fc\u30ba\u306e\u4e00\u90e8\u3067\u3059\u5c0f\u5b66\u6821\u6570\u5b66 \u4ee3\u6570 \u5206\u6790 \u7b97\u8853 \u30b8\u30aa\u30e1\u30c8\u30ea \u8ad6\u7406 \u78ba\u7387 \u7d71\u8a08\u7684 \u521d\u7b49\u6570\u5b66\u3067\u306f\u3001\u591a\u9805\u5f0f\u95a2\u6570\u306f\u6b21\u306e\u5f62\u5f0f\u306e\u95a2\u6570\u306e\u5408\u8a08\u3067\u3059\u3002 $$ {\\begin{matrix} f_k: &amp; \\mathbb  [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":75206,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"https:\/\/img.youtube.com\/vi\/qzd5iXKHkiU\/0.jpg","fifu_image_alt":"\u591a\u9805\u5f0f\u95a2\u6570 (\u521d\u7b49\u6570\u5b66)\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac","footnotes":""},"categories":[5],"tags":[68822,11,13,14,10,12,5485,918,1013,16,15,1839],"class_list":["post-75205","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-dictionary","tag-teck","tag-techniques","tag-technologie","tag-news","tag-actualite","tag-dossier","tag-polynome","tag-elementaires","tag-mathematiques","tag-sciences","tag-article","tag-fonction"],"_links":{"self":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/75205"}],"collection":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=75205"}],"version-history":[{"count":0,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/75205\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/media\/75206"}],"wp:attachment":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=75205"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=75205"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=75205"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}