{"id":6604,"date":"2025-12-24T17:21:06","date_gmt":"2025-12-24T08:21:06","guid":{"rendered":"https:\/\/math-travel.com\/?p=6604"},"modified":"2026-02-11T17:23:30","modified_gmt":"2026-02-11T08:23:30","slug":"taisuu-graph","status":"publish","type":"post","link":"https:\/\/math-travel.jp\/math-2\/taisuu-graph\/","title":{"rendered":"\u5bfe\u6570\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306e\u66f8\u304d\u65b9\u30103\u30b9\u30c6\u30c3\u30d7\u3011\u3067\u66f8\u3051\u308b\u30b3\u30c4\u3068\u6307\u6570\u95a2\u6570\u3068\u306e\u95a2\u4fc2"},"content":{"rendered":"\n
\n

\u300c\u5bfe\u6570log\u306e\u30b0\u30e9\u30d5\u306e\u5f62\u304c\u5206\u304b\u3089\u306a\u3044\u300d<\/p>\n\n\n\n

\u300c\u5bfe\u6570\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u304c\u66f8\u304d\u65b9\u306f\uff1f\u300d<\/p>\n<\/div><\/div>\n\n\n\n

\u5bfe\u6570\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u304c\u30a4\u30e1\u30fc\u30b8\u3067\u304d\u306a\u3044\u65b9\u306f\u5fc5\u898b\uff01<\/span><\/p>\n\n\n\n

\u4eca\u56de\u306f\u5bfe\u6570\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306b\u95a2\u3059\u308b\u60a9\u307f\u3092\u89e3\u6c7a\u3057\u307e\u3059\u3002<\/p>\n\n\n

\n
\"\u60a9\u3080\u5b66\u751f\"<\/figure>\n<\/div>\n\n\n

\u5bfe\u6570\u95a2\u6570\\(y=log_{a}x\\)\u3092\u30b0\u30e9\u30d5\u306b\u3059\u308b\u3068\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u5f62\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n

\n
\n
\"\u5bfe\u6570\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306e\u5f62\"<\/figure>\n<\/div>\n
\n
\"\u5bfe\u6570\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306e\u5f62\"<\/figure>\n<\/div>\n<\/div>\n\n\n\n

\u5bfe\u6570\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306f\u306a\u304b\u306a\u304b\u66f8\u304f\u3053\u3068\u304c\u306a\u3044\u306e\u3067\u3001\u30b0\u30e9\u30d5\u306e\u5f62\u3092\u5fd8\u308c\u3066\u3057\u307e\u3044\u307e\u3059\u3088\u306d\u3002<\/p>\n\n\n\n

\u672c\u8a18\u4e8b\u3067\u306f\u5bfe\u6570\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306e\u7279\u5fb4\u3068\u66f8\u304d\u65b9\u3092\u89e3\u8aac<\/span>\u3057\u307e\u3057\u305f\u3002<\/p>\n\n\n\n

\u3053\u306e\u8a18\u4e8b\u3092\u8aad\u3093\u3067\u5bfe\u6570\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306e\u7279\u5fb4\u3068\u66f8\u304d\u65b9\u3092\u305c\u3072\u899a\u3048\u3066\u3044\u3063\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n\n\n

\"\"\u30b7\u30fc\u30bf<\/span><\/div>
\n

\u6c17\u306b\u306a\u308b\u898b\u51fa\u3057\u3092\u30af\u30ea\u30c3\u30af\u3057\u3066\u3001
\u305c\u3072\u6700\u5f8c\u307e\u3067\u3054\u89a7\u304f\u3060\u3055\u3044\u3002<\/p>\n<\/span><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n

\u5bfe\u6570\u95a2\u6570\u306e\u30b0\u30e9\u30d5<\/h2>\n\n\n\n

\\(y=log_{a}x\\)\u306e\u3088\u3046\u306a\u95a2\u6570\u3092\u3001\\(a\\)\u3092\u5e95\u3068\u3059\u308b\\(x\\)\u306e\u5bfe\u6570\u95a2\u6570<\/span>\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n\n\n\n

\u5bfe\u6570\u95a2\u6570<\/span><\/div>
\n

\\(a>0,a\u22601,x>0\\)\u3068\u3059\u308b\u3068\u304d\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u95a2\u6570\u3092\u5bfe\u6570\u95a2\u6570\u3068\u3044\u3046\u3002<\/p>\n\n\n\n

\\[y=log_{a}x\\]<\/p>\n<\/div><\/div>\n\n\n\n

\\(log_{a}x\\)\u306e\\(a\\)\u306e\u90e8\u5206\u3092\u5e95\uff08\u3066\u3044\uff09<\/span>\u3001\\(x\\)\u306e\u5024\u3092\u771f\u6570\uff08\u3057\u3093\u3059\u3046\uff09<\/span>\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n\n\n

\"\"\u30b7\u30fc\u30bf<\/span><\/div>
\n

\u5bfe\u6570\u3068\u6307\u6570\u306e\u95a2\u4fc2\u3092\u3057\u3063\u304b\u308a\u62bc\u3055\u3048\u3066\u304a\u3053\u3046<\/p>\n<\/span><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n

\u5bfe\u6570\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306e\u5f62<\/h3>\n\n\n\n

\u5bfe\u6570\u95a2\u6570\u3092\u30b0\u30e9\u30d5\u3067\u8868\u3059\u3068\u304d\u306f\u3001\u5e95\u306e\u5024\u306b\u6ce8\u610f<\/span>\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n

\\(a>1\\)\u306e\u3068\u304d\u306f\u3001\u53f3\u4e0a\u304c\u308a\u306e\u30b0\u30e9\u30d5\u306b\u306a\u308a\u307e\u3059\u3002<\/span><\/span><\/p>\n\n\n

\n
\"\u5bfe\u6570\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306e\u5f62\"<\/figure>\n<\/div>\n\n\n

\\(0<a<1\\)\u306e\u3068\u304d\u306f\u3001\u53f3\u4e0b\u304c\u308a\u306e\u30b0\u30e9\u30d5\u306b\u306a\u308a\u307e\u3059\u3002<\/span><\/span><\/p>\n\n\n

\n
\"\u5bfe\u6570\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306e\u5f62\"<\/figure>\n<\/div>\n\n
\"\"\u9ad8\u6821\u751f<\/span><\/div>
\n

\u6ed1\u3089\u304b\u306a\u66f2\u7dda\u306b\u306a\u308b\u3093\u3067\u3059\u306d\uff01<\/p>\n<\/span><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n

\u5bfe\u6570\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306e\u7279\u5fb4<\/h3>\n\n\n\n

\u5bfe\u6570\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306e\u7279\u5fb4\u3092\u307e\u3068\u3081\u307e\u3057\u305f\u3002<\/p>\n\n\n\n

\u5bfe\u6570\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306e\u7279\u5fb4<\/span><\/div>
\n
    \n
  • \u70b9(1,0)\u3092\u901a\u308b<\/li>\n\n\n\n
  • a>1\u306e\u3068\u304d\u53f3\u4e0a\u304c\u308a\u3067\u3001\u70b9(a,1)\u3092\u901a\u308b<\/li>\n\n\n\n
  • 0<a<1\u306e\u3068\u304d\u53f3\u4e0b\u304c\u308a\u3067\u3001\u70b9(\\(\\displaystyle \\frac{1}{a}\\),-1)\u3092\u901a\u308b<\/li>\n\n\n\n
  • y\u8ef8\u304c\u6f38\u8fd1\u7dda<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n

    \\(y=log_{2}x\\)\u306e\u30b0\u30e9\u30d5\u3060\u3068\u70b9(1,0)(2,1)\u3092\u901a\u308a\u307e\u3059\u3002<\/p>\n\n\n

    \n
    \"\u5bfe\u6570\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306e\u7279\u5fb4\"<\/figure>\n<\/div>\n\n\n

    \u6307\u6570\u95a2\u6570\u3068\u5bfe\u6570\u95a2\u6570<\/h3>\n\n\n\n

    \u5bfe\u6570\u95a2\u6570\u3068\u5bc6\u63a5\u306a\u95a2\u4fc2\u3092\u3082\u3064\u306e\u304c\u6307\u6570\u95a2\u6570\u3067\u3059\u3002<\/span><\/p>\n\n\n\n

    \u4e00\u822c\u306b\u3001\u5bfe\u6570\u95a2\u6570\\(y=log_{a}x\\)\u306e\u30b0\u30e9\u30d5\u306f\u3001\u6307\u6570\u95a2\u6570\\(y=a^{x}\\)\u306e\u30b0\u30e9\u30d5\u3068\u76f4\u7dda\\(y=x\\)\u306b\u95a2\u3057\u3066\u7dda\u5bfe\u79f0\u306e\u30b0\u30e9\u30d5<\/span>\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n

    \n
    \"\u6307\u6570\u95a2\u6570\u3068\u5bfe\u6570\u95a2\u6570\"<\/figure>\n<\/div>\n\n\n

    \u5bfe\u6570\u3068\u6307\u6570\u306b\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u95a2\u4fc2\u304c\u3042\u308a\u307e\u3059\u3002<\/span><\/p>\n\n\n\n

    \\[y=log_{a}x \\Leftrightarrow a^{y}=x\\]<\/p>\n\n\n\n

    \u6307\u6570\u8868\u8a18\u3068\u5bfe\u6570\u8868\u8a18\u3092\u30b9\u30e0\u30fc\u30ba\u306b\u5165\u308c\u66ff\u3048\u308c\u308b\u3088\u3046\u306b\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n

    \"\"\u30b7\u30fc\u30bf<\/span><\/div>
    \n

    \u5bfe\u6570\u306fa\u3092\u4f55\u4e57\u3057\u305f\u3089x\u306b\u306a\u308b\u306e\u304b\u3092\u8868\u3057\u3066\u3044\u308b\u3088<\/p>\n<\/span><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n

    \u5bfe\u6570\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306e\u66f8\u304d\u65b9<\/h2>\n\n\n\n

    \u5bfe\u6570\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306f\u4ee5\u4e0b\u306e3\u30b9\u30c6\u30c3\u30d7\u3067\u66f8\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n

    \u5bfe\u6570\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306e\u66f8\u304d\u65b9<\/span><\/div>
    \n
      \n
    1. \u70b9(1,0)\u306b\u76ee\u5370\u3092\u3064\u3051\u308b<\/li>\n\n\n\n
    2. a>1\u306a\u3089\u3070\u70b9(a,1)\u306b\u76ee\u5370\u3092\u4ed8\u3051\u308b\u3002 0<a<1\u306a\u3089\u3070\u70b9(\\(\\displaystyle \\frac{1}{a},-1\\))\u306b\u76ee\u5370\u3092\u4ed8\u3051\u308b\u3002<\/li>\n\n\n\n
    3. y\u8ef8\u3092\u6f38\u8fd1\u7dda\u306b\u3057\u3066\u3001\u6ed1\u3089\u304b\u306b\u7d50\u3076<\/li>\n<\/ol>\n<\/div><\/div>\n\n\n\n

      \u3053\u306e\u30b9\u30c6\u30c3\u30d7\u3067\\(y=log_{2}x\\)<\/span>\u306e\u30b0\u30e9\u30d5\u3092\u66f8\u3044\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n

      STEP1\u70b9(1,0)\u306b\u76ee\u5370\u3092\u3064\u3051\u308b<\/p>\n\n\n\n

      \u5bfe\u6570\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306f\u70b9(1,0)\u3092\u901a\u308b\u306e\u3067\u76ee\u5370\u3092\u4ed8\u3051\u307e\u3057\u3087\u3046<\/p>\n\n\n

      \n
      \"\u5bfe\u6570\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306e\u66f8\u304d\u65b9\"<\/figure>\n<\/div>\n\n\n

      STEP2\u70b9(a,1)\u306b\u76ee\u5370\u3092\u3064\u3051\u308b<\/p>\n\n\n\n

      \\(y=log_{2}x\\)\u306f\\(x=2\\)\u306e\u3068\u304d\\(y=1\\)\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n

      \u306a\u306e\u3067\u3001\u70b9(2,1)\u306b\u3082\u76ee\u5370\u3092\u4ed8\u3051\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n

      \n
      \"\u5bfe\u6570\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306e\u66f8\u304d\u65b9\"<\/figure>\n<\/div>\n\n\n

      STEP3y\u8ef8\u3092\u6f38\u8fd1\u7dda\u306b\u3057\u3066\u3001\u6ed1\u3089\u304b\u306b\u7d50\u3076<\/p>\n\n\n\n

      \u6700\u5f8c\u306b2\u70b9(1,0),(2,1)\u3092\u901a\u308b\u3088\u3046\u306b\u3001\u6ed1\u3089\u304b\u306a\u66f2\u7dda\u3092\u66f8\u304d\u307e\u3059\u3002<\/p>\n\n\n\n

      \\(y=log_{2}x\\)\u306f\\(y\\)\u8ef8\u3092\u6f38\u8fd1\u7dda\u3068\u3059\u308b\u306e\u3067\u3001y\u8ef8\u306b\u89e6\u308c\u306a\u3044\u3088\u3046\u306b\u6c17\u3092\u4ed8\u3051\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n\n\n

      \n
      \"\u5bfe\u6570\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306e\u66f8\u304d\u65b9\"<\/figure>\n<\/div>\n\n\n

      \u3053\u308c\u3067\u5bfe\u6570\u95a2\u6570\\(y=log_{2}x\\)\u306e\u30b0\u30e9\u30d5\u304c\u5b8c\u6210\u3067\u3059\u3002<\/span><\/p>\n\n\n

      \"\"\u9ad8\u6821\u751f<\/span><\/div>
      \n

      \u307c\u304f\u3067\u3082\u66f8\u3051\u308b\u6c17\u304c\u3057\u307e\u3059\uff01<\/p>\n<\/span><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n

      \u6f38\u8fd1\u7dda\u306b\u6ce8\u610f\u3057\u3088\u3046<\/h3>\n\n\n\n

      \u5bfe\u6570\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u3092\u66f8\u304f\u3068\u304d\u306f\u3001\u6f38\u8fd1\u7dda\u306e\u5b58\u5728\u306b\u6ce8\u610f<\/span>\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n

      \u5bfe\u6570\u95a2\u6570\\(y=log_{a}x\\)\u306e\u30b0\u30e9\u30d5\u3067\u306fy\u8ef8\u304c\u6f38\u8fd1\u7dda<\/span>\u3067\u3059\u3002<\/p>\n\n\n

      \n
      \"\u6f38\u8fd1\u7dda\"<\/figure>\n<\/div>\n\n\n

      \u9650\u308a\u306a\u304fy\u8ef8\u306b\u8fd1\u3065\u304f\u3088\u3046\u306b\u30b0\u30e9\u30d5\u3092\u66f8\u304d\u307e\u3059\u304c\u3001\u7d76\u5bfe\u306b\u6f38\u8fd1\u7dda\u306b\u89e6\u308c\u3066\u306f\u3044\u3051\u307e\u305b\u3093\u3002<\/span><\/p>\n\n\n\n

      \u63a1\u70b9\u8005\u306f\u3053\u3046\u3044\u3063\u305f\u7d30\u304b\u3044\u3068\u3053\u308d\u3092\u898b\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n

      \"\"\u30b7\u30fc\u30bf<\/span><\/div>
      \n

      \u30b0\u30e9\u30d5\u3092\u66f8\u304f\u554f\u984c\u306e\u3068\u304d\u306f\u6c17\u3092\u3064\u3051\u307e\u3057\u3087\u3046<\/p>\n<\/span><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n

      \u5bfe\u6570\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306e\u79fb\u52d5<\/h2>\n\n\n\n

      \u5bfe\u6570\u95a2\u6570\u306e\u79fb\u52d5\u306b\u306f\u3001\u4e3b\u306b2\u3064\u306e\u65b9\u6cd5\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n

      \n
        \n
      • \u5e73\u884c\u79fb\u52d5<\/li>\n\n\n\n
      • \u5bfe\u79f0\u79fb\u52d5<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n

        \u5bfe\u6570\u95a2\u6570\u306b\u9650\u3089\u305a\u3001\u3069\u306e\u30b0\u30e9\u30d5\u306e\u79fb\u52d5\u306b\u3082\u5fdc\u7528\u3067\u304d\u308b\u306e\u3067\u3001\u305c\u3072\u7fd2\u5f97\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n\n\n

        \"\"\u9ad8\u6821\u751f<\/span><\/div>
        \n

        \u5e73\u884c\u79fb\u52d5\u3063\u3066\u3069\u3046\u3084\u308b\u3093\u3060\u3063\u3051\u2026<\/p>\n<\/span><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n

        \u5e73\u884c\u79fb\u52d5<\/h3>\n\n\n\n

        \u30b0\u30e9\u30d5\u306e\u5f62\u306f\u4e00\u5207\u5909\u3048\u305a\u306b\u3001\u4e00\u5b9a\u306e\u65b9\u5411\u306b\u305d\u306e\u307e\u307e\u79fb\u52d5\u3055\u305b\u308b\u3053\u3068\u3092\u5e73\u884c\u79fb\u52d5<\/span>\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n\n\n\n

        \n

        \\(y=log_{a}x\\)\u3092\\(x\\)\u8ef8\u65b9\u5411\u306b\\(p\\)\u3001\\(y\\)\u8ef8\u65b9\u6cd5\u306b\\(q\\)\u3060\u3051\u5e73\u884c\u79fb\u52d5\u3059\u308b\u3068<\/p>\n\n\n\n

        \\[y=log_{a}(x-p)+q\\]<\/p>\n<\/div><\/div>\n\n\n\n

        \\(y=log_{2}x\\)\u306e\u30b0\u30e9\u30d5\u3092\\(x\\)\u8ef8\u65b9\u5411\u306b\\(3\\)\u3001\\(y\\)\u8ef8\u65b9\u6cd5\u306b\\(-1\\)\u3060\u3051\u5e73\u884c\u79fb\u52d5\u3059\u308b\u3068<\/p>\n\n\n\n

        \\[y=log_{2}(x-3)-1\\]<\/p>\n\n\n\n

        \u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n

        \\(y=log_{2}(x-1)-1\\)\u306e\u30b0\u30e9\u30d5\u306f\u4e0b\u56f3\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n

        \n
        \"\u5e73\u884c\u79fb\u52d5\"<\/figure>\n<\/div>\n\n\n

        \u5bfe\u79f0\u79fb\u52d5<\/h3>\n\n\n\n

        \u539f\u70b9\u3084\u76f4\u7dda\u306b\u5bfe\u3057\u3066\u3001\u5143\u306e\u4f4d\u7f6e\u3068\u53cd\u5bfe\u5074\u3078\u79fb\u52d5\u3055\u305b\u308b\u3053\u3068\u3092\u5bfe\u79f0\u79fb\u52d5<\/span>\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n\n\n\n

        \u5bfe\u79f0\u79fb\u52d5<\/span><\/div>
        \n

        \u5bfe\u6570\u95a2\u6570\\(y=log_{a}x\\)\u306b\u304a\u3044\u3066\u3001<\/p>\n\n\n\n

        \u30fb\\(x\\)\u8ef8\u306b\u95a2\u3057\u3066\u5bfe\u79f0\u79fb\u52d5
        \\[y=-log_{a}x\\]<\/p>\n\n\n\n

        \u30fb\\(y\\)\u8ef8\u306b\u95a2\u3057\u3066\u5bfe\u79f0\u79fb\u52d5
        \\[y=log_{a}(-x)\\]<\/p>\n\n\n\n

        \u30fb\u539f\u70b9\u306b\u95a2\u3057\u3066\u5bfe\u79f0\u79fb\u52d5
        \\[y=-log_{a}(-x)\\]<\/p>\n<\/div><\/div>\n\n\n\n

        \\(x\\)\u8ef8\u306b\u95a2\u3057\u3066\\(y=log_{2}x\\)\u3092\u5bfe\u8c61\u79fb\u52d5\u3059\u308b\u3068\u3001\\(y=-log_{2}x\\)\u306e\u30b0\u30e9\u30d5\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n

        \n
        \"\u5bfe\u79f0\u79fb\u52d5\u306e\u30b0\u30e9\u30d5\"<\/figure>\n<\/div>\n\n\n

        \u5e73\u884c\u79fb\u52d5\u3084\u5bfe\u8c61\u79fb\u52d5\u3092\u3059\u308b\u3068\u304d\u306e\u5f0f\u5909\u5f62\u306f\u3001\u3069\u306e\u95a2\u6570\u3067\u3082\u540c\u3058\u3088\u3046\u306a\u8a08\u7b97\u3092\u3057\u307e\u3059\u3002<\/p>\n\n\n\n

        \u4ee5\u4e0b\u306e\u5f62\u3092\u899a\u3048\u3066\u304a\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n

        \u5e73\u884c\u79fb\u52d5\u30fb\u5bfe\u79f0\u79fb\u52d5\u306e\u516c\u5f0f<\/span><\/div>
        \n

        \u95a2\u6570\\(y=f(x)\\)\u306b\u304a\u3044\u3066\u3001<\/p>\n\n\n\n

        \\(x\\)\u8ef8\u65b9\u5411\u306b\\(p\\)\u3001\\(y\\)\u8ef8\u65b9\u5411\u306b\\(q\\)\u3060\u3051\u5e73\u884c\u79fb\u52d5
        \u21d2\\(y=f(x-p)+q\\)<\/span><\/p>\n\n\n\n

        \\(x\\)\u8ef8\u306b\u95a2\u3057\u3066\u5bfe\u79f0\u79fb\u52d5\u21d2\\(y=-f(x)\\)<\/p>\n\n\n\n

        \\(y\\)\u8ef8\u306b\u95a2\u3057\u3066\u5bfe\u79f0\u79fb\u52d5\u21d2\\(y=f(-x)\\)<\/p>\n\n\n\n

        \u539f\u70b9\u306b\u95a2\u3057\u3066\u5bfe\u79f0\u79fb\u52d5\u21d2\\(y=-f(-x)\\)<\/p>\n<\/div><\/div>\n\n\n\n

        \u5bfe\u6570\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u300a\u7df4\u7fd2\u554f\u984c\u300b<\/h2>\n\n\n
        \n
        \"\u7df4\u7fd2\u554f\u984c\"<\/figure>\n<\/div>\n\n\n

        \u5bfe\u6570\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306b\u95a2\u3059\u308b\u7df4\u7fd2\u554f\u984c\u306b\u6311\u6226\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n

        \u4ee5\u4e0b\u304c\u4eca\u56de\u306e\u7df4\u7fd2\u554f\u984c\u3067\u3059\u3002<\/p>\n\n\n\n

        \u7df4\u7fd2\u554f\u984c<\/span><\/div>
        \n

        \u6b21\u306e\u5bfe\u6570\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u3092\u66f8\u3044\u3066\u307f\u3088\u3046\u3002<\/p>\n\n\n\n

        (1) \\(y=log_{3}x\\)<\/p>\n\n\n\n

        (2) \\(y=log_{\\frac{1}{2}}x\\)<\/p>\n\n\n\n

        (3) \\(y=log_{2}(x+1)+2\\)<\/p>\n<\/div><\/div>\n\n\n

        \"\"\u30b7\u30fc\u30bf<\/span><\/div>
        \n

        \u982d\u306e\u4e2d\u3067\u30b0\u30e9\u30d5\u306e\u5f62\u3092\u30a4\u30e1\u30fc\u30b8\u3057\u3066\u307f\u3088\u3046<\/p>\n<\/span><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n

        \u7df4\u7fd2\u554f\u984c1\u306e\u89e3\u8aac<\/h3>\n\n\n\n
        \u7df4\u7fd2\u554f\u984c1<\/span><\/div>
        \n

        \u6b21\u306e\u5bfe\u6570\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u3092\u66f8\u3044\u3066\u307f\u3088\u3046\u3002<\/p>\n\n\n\n

        (1) \\(y=log_{3}x\\)<\/p>\n<\/div><\/div>\n\n\n\n

        \u5e95\u304c3\u30671\u3088\u308a\u5927\u304d\u3044\u306e\u3067\u3001\u53f3\u4e0a\u304c\u308a\u306e\u30b0\u30e9\u30d5\u3092\u30a4\u30e1\u30fc\u30b8\u3057\u307e\u3059\u3002<\/p>\n\n\n\n

        \u307e\u305a\u306f\u70b9(1,0)\u306b\u76ee\u5370\u3092\u3064\u3051\u307e\u3059\u3002<\/p>\n\n\n

        \n
        \"\u7df4\u7fd2\u554f\u984c1-1\"<\/figure>\n<\/div>\n\n\n

        \u305d\u306e\u3042\u3068\u3001\u5e95\u304c3\u306a\u306e\u3067\u70b9(3,1)\u306b\u3082\u76ee\u5370\u3092\u3064\u3051\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n

        \n
        \"\u7df4\u7fd2\u554f\u984c1-2\"<\/figure>\n<\/div>\n\n\n

        \u76ee\u5370\u3092\u3064\u3051\u305f2\u70b9\u3092\u901a\u308b\u3088\u3046\u306b\u6ed1\u3089\u304b\u306a\u66f2\u7dda\u3092\u66f8\u304d\u307e\u3059\u3002<\/p>\n\n\n\n

        \u3053\u306e\u3068\u304d\u6f38\u8fd1\u7dda\u306e\\(y\\)\u8ef8\u306b\u89e6\u308c\u306a\u3044\u3088\u3046\u306b\u6c17\u3092\u4ed8\u3051\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n

        \n
        \"\u7df4\u7fd2\u554f\u984c1-3\"<\/figure>\n<\/div>\n\n\n

        \u3053\u308c\u3067\\(y=log_{3}x\\)\u306e\u30b0\u30e9\u30d5\u306f\u5b8c\u6210\u3067\u3059\u3002<\/p>\n\n\n

        \"\"\u9ad8\u6821\u751f<\/span><\/div>
        \n

        \u30b0\u30e9\u30d5\u306b\u3082\u304b\u306a\u308a\u6163\u308c\u3066\u304d\u307e\u3057\u305f\uff01<\/p>\n<\/span><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n

        \u7df4\u7fd2\u554f\u984c2\u306e\u89e3\u8aac<\/h3>\n\n\n\n
        \u7df4\u7fd2\u554f\u984c2<\/span><\/div>
        \n

        \u6b21\u306e\u5bfe\u6570\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u3092\u66f8\u3044\u3066\u307f\u3088\u3046\u3002<\/p>\n\n\n\n

        (2) \\(y=log_{\\frac{1}{2}}x\\)<\/p>\n<\/div><\/div>\n\n\n\n

        \u5e95\u304c\\(\\displaystyle \\frac{1}{2}\\)\u30671\u3088\u308a\u5c0f\u3055\u3044\u306e\u3067\u3001\u53f3\u4e0b\u304c\u308a\u306e\u30b0\u30e9\u30d5\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n

        \u307e\u305a\u3001\u70b9(1,0)\u306b\u76ee\u5370\u3092\u3064\u3051\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n

        \n
        \"\u7df4\u7fd2\u554f\u984c2-1\"<\/figure>\n<\/div>\n\n\n

        \u5e95\u304c1\u3088\u308a\u5c0f\u3055\u3044\u306e\u3067\u3001\u70b9(2,-1)\u306b\u3082\u5370\u3092\u3064\u3051\u307e\u3059\u3002<\/p>\n\n\n

        \n
        \"\u7df4\u7fd2\u554f\u984c2-2\"<\/figure>\n<\/div>\n\n\n

        \u6f38\u8fd1\u7dda\u306b\u6c17\u3092\u4ed8\u3051\u306a\u304c\u3089\u30012\u70b9\u3092\u901a\u308b\u66f2\u7dda\u3092\u66f8\u3044\u305f\u3089\u30b0\u30e9\u30d5\u306e\u5b8c\u6210\u3067\u3059\u3002<\/p>\n\n\n

        \n
        \"\u7df4\u7fd2\u554f\u984c2-3\"<\/figure>\n<\/div>\n\n\n

        \u5e95\u304c1\u3088\u308a\u5c0f\u3055\u3044\u3068\u304d\u306e\u30b0\u30e9\u30d5\u306b\u3082\u6163\u308c\u3066\u304a\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n

        \u7df4\u7fd2\u554f\u984c3\u306e\u89e3\u8aac<\/h3>\n\n\n\n
        \u7df4\u7fd2\u554f\u984c3<\/span><\/div>
        \n

        \u6b21\u306e\u5bfe\u6570\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u3092\u66f8\u3044\u3066\u307f\u3088\u3046\u3002<\/p>\n\n\n\n

        (3) \\(y=log_{2}(x+1)+2\\)<\/p>\n<\/div><\/div>\n\n\n\n

        \u3053\u306e\u95a2\u6570\u306f\\(y=log_{2}x\\)\u3092\\(x\\)\u8ef8\u65b9\u5411\u306b-1\u3001\\(y\\)\u8ef8\u65b9\u5411\u306b2\u3060\u3051\u5e73\u884c\u79fb\u52d5\u3057\u305f\u3082\u306e\u3067\u3059\u3002<\/p>\n\n\n\n

        \u21d2\u5bfe\u6570\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306e\u79fb\u52d5\u306b\u3064\u3044\u3066\u306f\u3053\u3061\u3089<\/a><\/p>\n\n\n\n

        \u5e73\u884c\u79fb\u52d5\u3057\u305f\u305f\u3081\u3001\u901a\u904e\u3059\u308b\u70b9\u3084\u6f38\u8fd1\u7dda\u304c\\(y=log_{2}x\\)\u3068\u306f\u7570\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n

        <\/th>x\u8ef8\u3068\u306e\u4ea4\u70b9<\/th>\u70b9(a,1)<\/th>\u6f38\u8fd1\u7dda<\/th><\/tr><\/thead>
        \\(y=log_{2}x\\)<\/th>(1,0)<\/td>(2,1)<\/td>x=0
        \uff08y\u8ef8\uff09<\/td><\/tr>
        \\(y=log_{2}(x+1)+2\\)<\/th>(0,2)<\/td>(1,3)<\/td>x=-1<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

        \u901a\u904e\u3059\u308b\u70b9\u306b\u6ce8\u610f\u3057\u3066\u30b0\u30e9\u30d5\u3092\u66f8\u304f\u3068\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n

        \n
        \"\u7df4\u7fd2\u554f\u984c3\"<\/figure>\n<\/div>\n\n\n

        \u3053\u308c\u3067\\(y=log_{2}(x+1)+2\\)\u306e\u30b0\u30e9\u30d5\u3092\u66f8\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n\n\n\n

        \u5bfe\u6570\u95a2\u6570\u3092\u5e73\u884c\u79fb\u52d5\u3059\u308b\u554f\u984c\u306f\u5c11\u306a\u3044\u3067\u3059\u304c\u3001\u51fa\u984c\u3055\u308c\u305f\u3068\u304d\u306b\u30b0\u30e9\u30d5\u304c\u66f8\u3051\u308b\u3088\u3046\u306b\u306f\u3057\u3066\u304a\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n

        \"\"\u30b7\u30fc\u30bf<\/span><\/div>
        \n

        \u77e5\u3063\u3066\u3044\u308c\u3070\u89e3\u3051\u308b\u306e\u3067\u5dee\u3092\u3064\u3051\u3089\u308c\u308b\u3088<\/p>\n<\/span><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n

        \u5bfe\u6570\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u3000\u307e\u3068\u3081<\/h2>\n\n\n\n

        \u4eca\u56de\u306f\u5bfe\u6570\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306b\u3064\u3044\u3066\u307e\u3068\u3081\u307e\u3057\u305f\u3002<\/span><\/p>\n\n\n\n

        \u5bfe\u6570\u95a2\u6570<\/span><\/div>
        \n


        \\(a>0,a\u22601,x>0\\)\u3068\u3059\u308b\u3068\u304d\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u95a2\u6570\u3092\u5bfe\u6570\u95a2\u6570\u3068\u3044\u3046\u3002<\/p>\n\n\n\n

        \\[y=log_{a}x\\]<\/p>\n<\/div><\/div>\n\n\n\n

        \u5bfe\u6570\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306b\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u7279\u5fb4\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n

        \u5bfe\u6570\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306e\u7279\u5fb4<\/span><\/div>
        \n
          \n
        • \u70b9(1,0)\u3092\u901a\u308b<\/li>\n\n\n\n
        • a>1\u306e\u3068\u304d\u53f3\u4e0a\u304c\u308a\u3067\u3001\u70b9(a,1)\u3092\u901a\u308b<\/li>\n\n\n\n
        • 0<a<1\u306e\u3068\u304d\u53f3\u4e0b\u304c\u308a\u3067\u3001\u70b9(\\(\\displaystyle \\frac{1}{a}\\),-1)\u3092\u901a\u308b<\/li>\n\n\n\n
        • y\u8ef8\u304c\u6f38\u8fd1\u7dda<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n

          \u30b0\u30e9\u30d5\u3092\u66f8\u304f\u3068\u304d\u306f\u4ee5\u4e0b\u306e\u624b\u9806\u3067\u66f8\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n

          \u5bfe\u6570\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306e\u66f8\u304d\u65b9<\/span><\/div>
          \n
            \n
          1. \u70b9(1,0)\u306b\u76ee\u5370\u3092\u3064\u3051\u308b<\/li>\n\n\n\n
          2. a>1\u306a\u3089\u3070\u70b9(a,1)\u306b\u76ee\u5370\u3092\u4ed8\u3051\u308b\u3002 0<a<1\u306a\u3089\u3070\u70b9(\\(\\displaystyle \\frac{1}{a},-1\\))\u306b\u76ee\u5370\u3092\u4ed8\u3051\u308b\u3002<\/li>\n\n\n\n
          3. y\u8ef8\u3092\u6f38\u8fd1\u7dda\u306b\u3057\u3066\u3001\u6ed1\u3089\u304b\u306b\u7d50\u3076<\/li>\n<\/ol>\n<\/div><\/div>\n\n\n\n

            \u4eca\u56de\u306f\u5bfe\u6570\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306b\u3064\u3044\u3066\u89e3\u8aac\u3057\u307e\u3057\u305f\u304c\u3001\u5bfe\u6570\u3068\u5bc6\u63a5\u306a\u95a2\u4fc2\u3092\u3082\u3064\u306e\u304c\u6307\u6570\u95a2\u6570<\/span>\u3067\u3059\u3002<\/p>\n\n\n\n

            \u6307\u6570\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306e\u7279\u5fb4\u3084\u66f8\u304d\u65b9\u306f\u3053\u3061\u3089\u306e\u8a18\u4e8b\u3067\u89e3\u8aac\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n\n\n\n

            >>\u6307\u6570\u95a2\u6570\u3068\u306f\uff1f\u30b0\u30e9\u30d5\u306e\u5f62\u3092\u898b\u306a\u304c\u3089\u5206\u304b\u308a\u3084\u3059\u304f\u89e3\u8aac\uff01<\/p>\n","protected":false},"excerpt":{"rendered":"

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