{"id":1174,"date":"2026-01-19T13:26:55","date_gmt":"2026-01-19T03:26:55","guid":{"rendered":"https:\/\/archive4ones.com\/2ndstudy\/?p=1174"},"modified":"2026-01-19T13:26:55","modified_gmt":"2026-01-19T03:26:55","slug":"year11-math-3-1-3-jp","status":"publish","type":"post","link":"https:\/\/archive4ones.com\/2ndstudy\/?p=1174","title":{"rendered":"Year11-MATH-3-1-3-JP"},"content":{"rendered":"\n

\u7b2c3\u7ae0\uff1a\u5fae\u5206\u306e\u5fdc\u7528<\/strong><\/p>\n\n\n\n

\u7b2c2\u7ae0\u3067\u306f\u3001\u66f2\u7dda\u306e\u50be\u304d\u3092\u6c7a\u5b9a\u3059\u308b\u305f\u3081\u306e\u5fae\u5206\uff08f<\/mi>\u2032<\/mtext>(<\/mo>x<\/mi>)<\/mo><\/mrow>f\u2032(x)<\/annotation><\/semantics><\/math>\uff09\u3092\u6c42\u3081\u308b\u65b9\u6cd5\u3092\u5b66\u3073\u307e\u3057\u305f\u3002\u3053\u3053\u3067\u306f\u3001\u3053\u306e\u30b9\u30ad\u30eb\u3092\u5b9f\u969b\u306e\u554f\u984c\u306b\u9069\u7528\u3057\u307e\u3059\u3002\u50be\u304d\u304c\u30bc\u30ed\u306b\u306a\u308b\u70b9\u3092\u898b\u3064\u3051\u308b\u3053\u3068\u3067\u3001\u95a2\u6570\u306e\u6700\u9ad8\u70b9\u3068\u6700\u4f4e\u70b9\u3092\u7279\u5b9a\u3067\u304d\u307e\u3059\u3002\u3053\u306e\u30d7\u30ed\u30bb\u30b9\u306f\u6700\u9069\u5316\u3068\u547c\u3070\u308c\u307e\u3059\u3002
<\/p>\n\n\n\n

3.1 \u505c\u7559\u70b9<\/strong><\/p>\n\n\n\n

\u505c\u7559\u70b9\u306f\u3001\u95a2\u6570\u306e\u50be\u304d\u304c\u30bc\u30ed\uff08f<\/mi>\u2032<\/mtext>(<\/mo>x<\/mi>)<\/mo>=<\/mo>0<\/mn><\/mrow>f\u2032(x)=0<\/annotation><\/semantics><\/math>\uff09\u306b\u306a\u308b\u70b9\u306b\u767a\u751f\u3057\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u70b9\u3067\u306f\u3001\u66f2\u7dda\u306e\u63a5\u7dda\u306f\u5b8c\u5168\u306b\u6c34\u5e73\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n

\u505c\u7559\u70b9\u306b\u306f\u4e3b\u306b3\u3064\u306e\u7a2e\u985e\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n

    \n
  1. \u6975\u5927\u5024\uff1a\u4e18\u306e\u300c\u9802\u4e0a\u300d\u3002\u50be\u304d\u304c\u6b63\u304b\u3089\u8ca0\u306b\u5909\u5316\u3057\u307e\u3059\u3002<\/li>\n<\/ol>\n\n\n\n

    2. \u6975\u5c0f\u5024\uff1a\u8c37\u306e\u300c\u5e95\u300d\u3002\u50be\u304d\u304c\u8ca0\u304b\u3089\u6b63\u306b\u5909\u5316\u3057\u307e\u3059\u3002<\/p>\n\n\n\n

    3. \u505c\u7559\u5909\u66f2\u70b9\uff1a\u66f2\u7dda\u306f\u4e00\u6642\u7684\u306b\u5e73\u5766\u306b\u306a\u308a\u307e\u3059\u304c\u3001\u305d\u306e\u5f8c\u306f\u540c\u3058\u65b9\u5411\u306b\u9032\u307f\u7d9a\u3051\u307e\u3059\u3002<\/p>\n\n\n\n

    3.2 \u70b9\u306e\u6027\u8cea\u306e\u5224\u5b9a<\/strong><\/p>\n\n\n\n

    \u505c\u7559\u70b9\u304c\u6975\u5927\u70b9\u304b\u6975\u5c0f\u70b9\u304b\u3092\u5224\u65ad\u3059\u308b\u306b\u306f\u3001\u7b26\u53f7\u8868\u3092\u7528\u3044\u3066\u70b9\u306e\u76f4\u524d\u3068\u76f4\u5f8c\u306e\u52fe\u914d\u3092\u8abf\u3079\u307e\u3059\u3002<\/p>\n\n\n\n

    x<\/td> a\u2212\u03f5 (\u76f4\u524d)<\/td>a (\u70b9) <\/td>a+\u03f5 (\u76f4\u5f8c)<\/td><\/tr>
    f\u2032(x)<\/td>\u6b63 (+)<\/td>0<\/td>\u8ca0 (-)<\/td><\/tr>
    \u5f62\u72b6<\/td>\/<\/td>\u2014<\/td>\\<\/td><\/tr>
    \u7d50\u8ad6<\/td><\/td>\u6975\u5927\u5024<\/td><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n


    3.3 \u5897\u52a0\u95a2\u6570\u3068\u6e1b\u5c11\u95a2\u6570<\/strong><\/p>\n\n\n\n

    \u95a2\u6570\u304c\u533a\u9593\u5185\u3067\u5897\u52a0\u3057\u3066\u3044\u308b\u5834\u5408\u3001f<\/mi>\u2032<\/mtext>(<\/mo>x<\/mi>)<\/mo>><\/mo>0<\/mn><\/mrow>f\u2032(x)>0<\/annotation><\/semantics><\/math> \u3067\u3059\u3002
    \u95a2\u6570\u304c\u533a\u9593\u5185\u3067\u6e1b\u5c11\u3057\u3066\u3044\u308b\u5834\u5408\u3001f<\/mi>\u2032<\/mtext>(<\/mo>x<\/mi>)<\/mo><<\/mo>0<\/mn><\/mrow>f\u2032(x)<0<\/annotation><\/semantics><\/math> \u3067\u3059\u3002<\/p>\n\n\n\n

    \u4f8b\u984c 1: \u505c\u7559\u70b9\u306e\u6c42\u3081\u65b9 f<\/mi>(<\/mo>x<\/mi>)<\/mo>=<\/mo>x<\/mi>3<\/mn>\u2212<\/mo>3<\/mn>x<\/mi><\/mrow>f(x)=x3\u22123x<\/annotation><\/semantics><\/math> \u306e\u505c\u7559\u70b9\u306e\u5ea7\u6a19\u3068\u6027\u8cea\u3092\u6c42\u3081\u307e\u3059\u3002<\/p>\n\n\n\n

    \u5fae\u5206\u3057\u307e\u3059: f<\/mi>\u2032<\/mtext>(<\/mo>x<\/mi>)<\/mo>=<\/mo>3<\/mn>x<\/mi>2<\/mn>\u2212<\/mo>3<\/mn><\/mrow>f\u2032(x)=3×2\u22123<\/annotation><\/semantics><\/math>
    0 \u306b\u8a2d\u5b9a\u3057\u307e\u3059: 3<\/mn>x<\/mi>2<\/mn>\u2212<\/mo>3<\/mn>=<\/mo>0<\/mn>\u2192<\/mo>3<\/mn>x<\/mi>2<\/mn>=<\/mo>3<\/mn>\u2192<\/mo>x<\/mi>2<\/mn>=<\/mo>1<\/mn>\u2192<\/mo>x<\/mi>=<\/mo>1<\/mn>,<\/mo>\u2212<\/mo>1<\/mn><\/mrow>3×2\u22123=0\u21923×2=3\u2192x2=1\u2192x=1,\u22121<\/annotation><\/semantics><\/math>
    y\u5ea7\u6a19\u3092\u6c42\u3081\u3088: > * f<\/mi>(<\/mo>1<\/mn>)<\/mo>=<\/mo>(<\/mo>1<\/mn>)<\/mo>3<\/mn>\u2212<\/mo>3<\/mn>(<\/mo>1<\/mn>)<\/mo>=<\/mo>\u2212<\/mo>2<\/mn><\/mrow>f(1)=(1)3\u22123(1)=\u22122<\/annotation><\/semantics><\/math>\u3002\u70b9\u306f(1<\/mn>,<\/mo>\u2212<\/mo>2<\/mn><\/mrow>1,\u22122<\/annotation><\/semantics><\/math>)\u3067\u3042\u308b\u3002
    f<\/mi>(<\/mo>\u2212<\/mo>1<\/mn>)<\/mo>=<\/mo>(<\/mo>\u2212<\/mo>1<\/mn>)<\/mo>3<\/mn>\u2212<\/mo>3<\/mn>(<\/mo>\u2212<\/mo>1<\/mn>)<\/mo>=<\/mo>2<\/mn><\/mrow>f(\u22121)=(\u22121)3\u22123(\u22121)=2<\/annotation><\/semantics><\/math>\u3002\u70b9\u306f(\u2212<\/mo>1,2<\/mn><\/mrow>\u22121,2<\/annotation><\/semantics><\/math>)\u3067\u3042\u308b\u3002<\/p>\n\n\n\n

    \u6027\u8cea\u306e\u30c6\u30b9\u30c8(x<\/mi>=<\/mo>1<\/mn><\/mrow>x=1<\/annotation><\/semantics><\/math>\u306e\u5834\u5408):
    x<\/mi>=<\/mo>0<\/mn><\/mrow>x=0<\/annotation><\/semantics><\/math>\u3092\u78ba\u8a8d\u305b\u3088: f<\/mi>\u2032<\/mtext>(<\/mo>0<\/mn>)<\/mo>=<\/mo>\u2212<\/mo>3<\/mn><\/mrow>f\u2032(0)=\u22123<\/annotation><\/semantics><\/math> (\u8ca0)\u3002
    x<\/mi>=<\/mo>2<\/mn><\/mrow>x=2<\/annotation><\/semantics><\/math>\u3092\u78ba\u8a8d\u305b\u3088: f<\/mi>\u2032<\/mtext>(<\/mo>2<\/mn>)<\/mo>=<\/mo>3<\/mn>(<\/mo>4<\/mn>)<\/mo>\u2212<\/mo>3<\/mn>=<\/mo>9<\/mn><\/mrow>f\u2032(2)=3(4)\u22123=9<\/annotation><\/semantics><\/math> (\u6b63)\u3002
    \u8ca0 \u2192 0 \u2192 \u6b63\u306e\u9806\u3068\u306a\u308b\u306e\u3067\u3001(1<\/mn>,<\/mo>\u2212<\/mo>2<\/mn><\/mrow>1,\u22122<\/annotation><\/semantics><\/math>)\u306f\u5c40\u6240\u6700\u5c0f\u5024\u3067\u3042\u308b\u3002<\/p>\n\n\n\n

    3.4 \u6700\u9069\u5316\u306e\u5b9f\u8df5<\/strong><\/p>\n\n\n\n

    \u6700\u9069\u5316\u3068\u306f\u3001\u300c\u6700\u826f\u306e\u300d\u5024(\u4f8b\u3048\u3070\u3001\u6700\u5927\u9762\u7a4d\u3084\u6700\u5c0f\u30b3\u30b9\u30c8)\u3092\u898b\u3064\u3051\u308b\u30d7\u30ed\u30bb\u30b9\u3067\u3042\u308b\u3002<\/p>\n\n\n\n

    \u6226\u7565<\/strong>:<\/p>\n\n\n\n

      \n
    1. \u6700\u9069\u5316\u3057\u305f\u3044\u5909\u6570(\u4f8b\u3048\u3070\u3001\u9762\u7a4d A<\/strong>)\u306b\u3064\u3044\u3066\u65b9\u7a0b\u5f0f\u3092\u4f5c\u6210\u3059\u308b\u3002<\/li>\n\n\n\n
    2. \u65b9\u7a0b\u5f0f\u306b\u306f\u72ec\u7acb\u5909\u6570\u304c1\u3064<\/strong>\u3060\u3051\u542b\u307e\u308c\u3066\u3044\u308b\u3053\u3068\u3092\u78ba\u8a8d\u3059\u308b(\u4ee3\u5165\u304c\u5fc5\u8981\u306b\u306a\u308b\u5834\u5408\u304c\u3042\u308b)\u3002<\/li>\n\n\n\n
    3. \u65b9\u7a0b\u5f0f\u3092\u5fae\u5206\u3059\u308b\u3002<\/li>\n\n\n\n
    4. \u5c0e\u95a2\u6570\u3092\u30bc\u30ed\u306b\u3057\u3066\u89e3\u304d\u306a\u3055\u3044\u3002<\/li>\n<\/ol>\n\n\n\n

      \u4f8b\u984c2\uff1a\u9762\u7a4d\u306e\u6700\u5927\u5316<\/strong><\/p>\n\n\n\n

      \u8fb2\u5bb6\u304c\u76f4\u7dda\u306e\u58c1\u306b\u6cbf\u3063\u3066\u9577\u65b9\u5f62\u306e\u7267\u8349\u5730\u3092\u4f5c\u308b\u305f\u3081\u306b\u300140<\/mn>m<\/mi><\/mrow>40m<\/annotation><\/semantics><\/math>\u306e\u67f5\u3092\u8a2d\u7f6e\u3057\u307e\u3057\u305f\uff08\u67f5\u304c\u5fc5\u8981\u306a\u306e\u306f3\u8fba<\/strong>\u3060\u3051\u3067\u3059\uff09\u3002\u9762\u7a4d\u304c\u6700\u5927\u3068\u306a\u308b\u5bf8\u6cd5\u3092\u6c42\u3081\u306a\u3055\u3044\u3002<\/p>\n\n\n\n
        \n
      1. \u58c1\u306b\u5782\u76f4\u306a\u8fba\u3092x<\/mi>x<\/annotation><\/semantics><\/math>\u3001\u5e73\u884c\u306a\u8fba\u3092y<\/mi>y<\/annotation><\/semantics><\/math>\u3068\u3057\u307e\u3059\u3002<\/li>\n\n\n\n
      2. \u5236\u7d04\u6761\u4ef6\uff1a2<\/mn>x<\/mi>+<\/mo>y<\/mi>=<\/mo>40<\/mn>\u2192<\/mo>y<\/mi>=<\/mo>40<\/mn>\u2212<\/mo>2<\/mn>x<\/mi><\/mrow>2x+y=40\u2192y=40\u22122x<\/annotation><\/semantics><\/math><\/li>\n\n\n\n
      3. \u9762\u7a4d\u306e\u516c\u5f0f\uff1aA<\/mi>=<\/mo>x<\/mi>\u00d7<\/mo>y<\/mi>=<\/mo>x<\/mi>(<\/mo>40<\/mn>\u2212<\/mo>2<\/mn>x<\/mi>)<\/mo>=<\/mo>40<\/mn>x<\/mi>\u2212<\/mo>2<\/mn>x<\/mi>2<\/mn><\/msup><\/mrow>A=x\u00d7y=x(40\u22122x)=40x\u22122x^2<\/annotation><\/semantics><\/math><\/li>\n\n\n\n
      4. \u5fae\u5206\uff1ad<\/mi>A<\/mi><\/mrow>d<\/mi>x<\/mi><\/mrow><\/mfrac>=<\/mo>40<\/mn>\u2212<\/mo>4<\/mn>x<\/mi><\/mrow>\\frac{dA}{dx}=40\u22124x<\/annotation><\/semantics><\/math><\/li>\n\n\n\n
      5. \u30bc\u30ed\u306b\u8a2d\u5b9a\uff1a40<\/mn>\u2212<\/mo>4<\/mn>x<\/mi>=<\/mo>0<\/mn>\u2192<\/mo>4<\/mn>x<\/mi>=<\/mo>40<\/mn>\u2192<\/mo>x<\/mi>=<\/mo>10<\/mn><\/mrow>40\u22124x=0\u21924x=40\u2192x=10<\/annotation><\/semantics><\/math><\/li>\n\n\n\n
      6. y<\/mi>y<\/annotation><\/semantics><\/math>\u3092\u6c42\u3081\u306a\u3055\u3044\uff1ay<\/mi>=<\/mo>40<\/mn>\u2212<\/mo>2<\/mn>(<\/mo>10<\/mn>)<\/mo>=<\/mo>20<\/mn><\/mrow>y=40\u22122(10)=20<\/annotation><\/semantics><\/math><\/li>\n\n\n\n
      7. \u89e3\u7b54\uff1a\u5bf8\u6cd5\u306f10<\/mn>m<\/mi>\u00d7<\/mo>20<\/mn>m<\/mi><\/mrow>10m\u00d720m<\/annotation><\/semantics><\/math>\u3067\u3001\u6700\u5927\u9762\u7a4d\u306f200<\/mn>m<\/mi>2<\/mn><\/msup><\/mrow>200m\u00b2<\/annotation><\/semantics><\/math>\u3067\u3059\u3002<\/li>\n<\/ol>\n\n\n\n

        3.5 \u7df4\u7fd2\u554f\u984c<\/strong>
        \u30d1\u30fc\u30c8A\uff1a\u505c\u7559\u70b9<\/strong><\/p>\n\n\n\n

          \n
        1. f<\/mi>(<\/mo>x<\/mi>)<\/mo>=<\/mo>x<\/mi>2<\/mn>\u2212<\/mo>6<\/mn>x<\/mi>+<\/mo>8<\/mn><\/mrow>f(x)=x2\u22126x+8 <\/annotation><\/semantics><\/math> \u306e\u505c\u7559\u70b9\u3092\u6c42\u3081\u3001\u305d\u306e\u6027\u8cea\u3092\u5224\u5b9a\u305b\u3088\u3002
          <\/li>\n\n\n\n
        2. y<\/mi>=<\/mo>2<\/mn>x<\/mi>3<\/mn>\u2212<\/mo>9<\/mn>x<\/mi>2<\/mn>+<\/mo>12<\/mn>x<\/mi><\/mrow>y=2×3\u22129×2+12x<\/annotation><\/semantics><\/math> \u306b\u3064\u3044\u3066\u3001\u6975\u5927\u5024\u3068\u6975\u5c0f\u5024\u306e\u5ea7\u6a19\u3092\u6c42\u3081\u3088\u3002<\/li>\n<\/ol>\n\n\n\n

          \u30d1\u30fc\u30c8B\uff1a\u533a\u9593<\/strong><\/p>\n\n\n\n

          3. f<\/mi>(<\/mo>x<\/mi>)<\/mo>=<\/mo>x<\/mi>2<\/mn><\/msup>\u2212<\/mo>4<\/mn>x<\/mi><\/mrow>f(x)=x^2\u22124x<\/annotation><\/semantics><\/math> \u304c\u6e1b\u5c11\u95a2\u6570\u3068\u306a\u308b\u533a\u9593\u3092\u6c42\u3081\u3088\u3002<\/p>\n\n\n\n

          \u30d1\u30fc\u30c8C\uff1a\u6700\u9069\u5316<\/strong><\/p>\n\n\n\n

          4. \u767a\u5c04\u4f53\u306e\u9ad8\u3055\u306fh<\/mi>(<\/mo>t<\/mi>)<\/mo>=<\/mo>30<\/mn>t<\/mi>\u2212<\/mo>5<\/mn>t<\/mi>2<\/mn><\/msup><\/mrow> h(t)=30t\u22125t^2<\/annotation><\/semantics><\/math> \u3067\u4e0e\u3048\u3089\u308c\u308b\u3002\u3053\u3053\u3067 t<\/mi>t<\/annotation><\/semantics><\/math> \u306f\u6642\u9593\uff08\u79d2\uff09\u3067\u3042\u308b\u3002\u5230\u9054\u3059\u308b\u6700\u5927\u9ad8\u3055\u3092\u6c42\u3081\u3088\u3002
          5. \u8ab2\u984c\uff1a\u5e95\u9762\u304c\u6b63\u65b9\u5f62\u3067\u4e0a\u9762\u304c\u306a\u3044\u7bb1\u306e\u4f53\u7a4d\u306f 32<\/mn>c<\/mi>m<\/mi>3<\/mn><\/msup><\/mrow>32 cm^3<\/annotation><\/semantics><\/math> \u3067\u3042\u308b\u3002\u8868\u9762\u7a4d\u3092\u6700\u5c0f\u306b\u3059\u308b\u5e95\u9762\u306e\u8fba\u306e\u9577\u3055 (x) \u3092\u6c42\u3081\u3088\u3002(\u30d2\u30f3\u30c8\uff1aV<\/mi>=<\/mo>x<\/mi>2<\/mn><\/msup>h<\/mi>,<\/mo>S<\/mi>A<\/mi>=<\/mo>x<\/mi>2<\/mn><\/msup>+<\/mo>4<\/mn>x<\/mi>h<\/mi><\/mrow>V=x^2h, SA=x^2+4xh<\/annotation><\/semantics><\/math>)\u3002<\/p>\n\n\n\n

          \u89e3\u7b54\uff08\u307e\u3068\u3081\uff09<\/p>\n\n\n\n

            \n
          1. f<\/mi>\u2032<\/mtext>(<\/mo>x<\/mi>)<\/mo>=<\/mo>2<\/mn>x<\/mi>\u2212<\/mo>6<\/mn>\u2192<\/mo>x<\/mi>=<\/mo>3<\/mn><\/mrow>f\u2032(x)=2x\u22126\u2192x=3<\/annotation><\/semantics><\/math>\u3002\u70b9\u306f (3,\u22121) \u3067\u3042\u308b\u3002\u3053\u308c\u306f\u5c40\u6240\u6700\u5c0f\u5024\u3067\u3059\u3002<\/li>\n\n\n\n
          2. y<\/mi>\u2032<\/mtext>=<\/mo>6<\/mn>x<\/mi>2<\/mn><\/msup>\u2212<\/mo>18<\/mn>x<\/mi>+<\/mo>12<\/mn>=<\/mo>6<\/mn>(<\/mo>x<\/mi>\u2212<\/mo>1<\/mn>)<\/mo>(<\/mo>x<\/mi>\u2212<\/mo>2<\/mn>)<\/mo><\/mrow>y\u2032=6x^2\u221218x+12=6(x\u22121)(x\u22122)<\/annotation><\/semantics><\/math>\u3002(1,5<\/mn>1,5<\/annotation><\/semantics><\/math>)\u3067\u6700\u5927\u5024\u3001(2,4<\/mn>2,4<\/annotation><\/semantics><\/math>)\u3067\u6700\u5c0f\u5024\u3002<\/li>\n\n\n\n
          3. f<\/mi>\u2032<\/mtext>(<\/mo>x<\/mi>)<\/mo>=<\/mo>2<\/mn>x<\/mi>\u2212<\/mo>4<\/mn><\/mrow>f\u2032(x)=2x\u22124<\/annotation><\/semantics><\/math>\u30022<\/mn>x<\/mi>\u2212<\/mo>4<\/mn><<\/mo>0<\/mn>\u2192<\/mo>x<\/mi><<\/mo>2<\/mn><\/mrow>2x\u22124<0\u2192x<2<\/annotation><\/semantics><\/math>\u306e\u3068\u304d\u3001\u6e1b\u5c11\u3057\u307e\u3059\u3002<\/li>\n\n\n\n
          4. h<\/mi>\u2032<\/mtext>(<\/mo>t<\/mi>)<\/mo>=<\/mo>30<\/mn>\u2212<\/mo>10<\/mn>t<\/mi>=<\/mo>0<\/mn>\u2192<\/mo>t<\/mi>=<\/mo>3<\/mn><\/mrow>h\u2032(t)=30\u221210t=0\u2192t=3<\/annotation><\/semantics><\/math>\u79d2\u3002h<\/mi>(<\/mo>3<\/mn>)<\/mo>=<\/mo>45<\/mn>m<\/mi><\/mrow>h(3)=45m<\/annotation><\/semantics><\/math>\u3002<\/li>\n\n\n\n
          5. h<\/mi>=<\/mo>32<\/mn>x<\/mi>2<\/mn><\/msup><\/mfrac><\/mrow>h=\\frac{32}{x^2} <\/annotation><\/semantics><\/math> S<\/mi>A<\/mi>=<\/mo>x<\/mi>2<\/mn><\/msup>+<\/mo>4<\/mn>x<\/mi>(<\/mo>32<\/mn>x<\/mi>2<\/mn><\/msup><\/mfrac>)<\/mo>=<\/mo>x<\/mi>2<\/mn><\/msup>+<\/mo>128<\/mn>x<\/mi><\/mfrac><\/mrow>SA=x^2+4x(\\frac{32}{x^2})=x^2+\\frac{128}{x}<\/annotation><\/semantics><\/math>\u3002S<\/mi>A<\/mi>\u2032<\/mtext>=<\/mo>2<\/mn>x<\/mi>\u2212<\/mo>128<\/mn>x<\/mi>2<\/mn><\/msup><\/mfrac>=<\/mo>0<\/mn>\u2192<\/mo>x<\/mi>3<\/mn><\/msup>=<\/mo>64<\/mn>\u2192<\/mo>x<\/mi>=<\/mo>4<\/mn>c<\/mi>m<\/mi><\/mrow>SA\u2032=2x\u2212\\frac{128}{x^2}=0\u2192x^3=64\u2192x=4cm<\/annotation><\/semantics><\/math>\u3002<\/li>\n<\/ol>\n\n\n\n

            <\/p>\n","protected":false},"excerpt":{"rendered":"

            \u7b2c3\u7ae0\uff1a\u5fae\u5206\u306e\u5fdc\u7528 \u7b2c2\u7ae0\u3067\u306f\u3001\u66f2\u7dda\u306e\u50be\u304d\u3092\u6c7a\u5b9a\u3059\u308b\u305f\u3081\u306e\u5fae\u5206\uff08f\u2032(x)f\u2032(x)\uff09\u3092\u6c42\u3081\u308b\u65b9\u6cd5\u3092\u5b66\u3073\u307e\u3057\u305f\u3002\u3053\u3053\u3067\u306f\u3001\u3053\u306e\u30b9\u30ad\u30eb\u3092\u5b9f\u969b\u306e\u554f\u984c\u306b\u9069\u7528\u3057\u307e\u3059\u3002\u50be\u304d\u304c\u30bc\u30ed\u306b\u306a\u308b\u70b9\u3092\u898b\u3064\u3051\u308b\u3053\u3068\u3067\u3001\u95a2\u6570\u306e\u6700\u9ad8\u70b9\u3068\u6700\u4f4e\u70b9\u3092\u7279\u5b9a\u3067\u304d\u307e\u3059\u3002\u3053\u306e\u30d7\u30ed\u30bb\u30b9\u306f\u6700\u9069\u5316\u3068\u547c\u3070\u308c\u307e\u3059\u3002 3.1 \u505c\u7559\u70b9 \u505c\u7559\u70b9\u306f\u3001\u95a2\u6570\u306e\u50be\u304d\u304c\u30bc\u30ed\uff08f\u2032(x)=0f\u2032(x)=0\uff09\u306b\u306a\u308b\u70b9\u306b\u767a\u751f\u3057\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u70b9\u3067\u306f\u3001\u66f2\u7dda\u306e\u63a5\u7dda\u306f\u5b8c\u5168\u306b\u6c34\u5e73\u306b\u306a\u308a\u307e\u3059\u3002 \u505c\u7559\u70b9\u306b\u306f\u4e3b\u306b3\u3064\u306e\u7a2e\u985e\u304c\u3042\u308a\u307e\u3059\u3002 2. \u6975\u5c0f\u5024\uff1a\u8c37\u306e\u300c\u5e95\u300d\u3002\u50be\u304d\u304c\u8ca0\u304b\u3089\u6b63\u306b\u5909\u5316\u3057\u307e\u3059\u3002 3. \u505c\u7559\u5909\u66f2\u70b9\uff1a\u66f2\u7dda\u306f\u4e00\u6642\u7684\u306b\u5e73\u5766\u306b\u306a\u308a\u307e\u3059\u304c\u3001\u305d\u306e\u5f8c\u306f\u540c\u3058\u65b9\u5411\u306b\u9032\u307f\u7d9a\u3051\u307e\u3059\u3002 3.2 \u70b9\u306e\u6027\u8cea\u306e\u5224\u5b9a \u505c\u7559\u70b9\u304c\u6975\u5927\u70b9\u304b\u6975\u5c0f\u70b9\u304b\u3092\u5224\u65ad\u3059\u308b\u306b\u306f\u3001\u7b26\u53f7\u8868\u3092\u7528\u3044\u3066\u70b9\u306e\u76f4\u524d\u3068\u76f4\u5f8c\u306e\u52fe\u914d\u3092\u8abf\u3079\u307e\u3059\u3002 x a\u2212\u03f5 (\u76f4\u524d) a (\u70b9) a+\u03f5 (\u76f4\u5f8c) f\u2032(x) \u6b63 (+) 0 \u8ca0 (-) \u5f62\u72b6 \/ \u2014 \\ \u7d50\u8ad6 \u6975\u5927\u5024 3.3 \u5897\u52a0\u95a2\u6570\u3068\u6e1b\u5c11\u95a2\u6570 \u95a2\u6570\u304c\u533a\u9593\u5185\u3067\u5897\u52a0\u3057\u3066\u3044\u308b\u5834\u5408\u3001f\u2032(x)>0f\u2032(x)>0 \u3067\u3059\u3002\u95a2\u6570\u304c\u533a\u9593\u5185\u3067\u6e1b\u5c11\u3057\u3066\u3044\u308b\u5834\u5408\u3001f\u2032(x)<0f\u2032(x)<0 \u3067\u3059\u3002 \u4f8b\u984c 1: \u505c\u7559\u70b9\u306e\u6c42\u3081\u65b9 f(x)=x3\u22123xf(x)=x3\u22123x \u306e\u505c\u7559\u70b9\u306e\u5ea7\u6a19\u3068\u6027\u8cea\u3092\u6c42\u3081\u307e\u3059\u3002 \u5fae\u5206\u3057\u307e\u3059: f\u2032(x)=3×2\u22123f\u2032(x)=3×2\u221230 \u306b\u8a2d\u5b9a\u3057\u307e\u3059: 3×2\u22123=0\u21923×2=3\u2192x2=1\u2192x=1,\u221213×2\u22123=0\u21923×2=3\u2192x2=1\u2192x=1,\u22121y\u5ea7\u6a19\u3092\u6c42\u3081\u3088: > * f(1)=(1)3\u22123(1)=\u22122f(1)=(1)3\u22123(1)=\u22122\u3002\u70b9\u306f(1,\u221221,\u22122)\u3067\u3042\u308b\u3002f(\u22121)=(\u22121)3\u22123(\u22121)=2f(\u22121)=(\u22121)3\u22123(\u22121)=2\u3002\u70b9\u306f(\u22121,2\u22121,2)\u3067\u3042\u308b\u3002 \u6027\u8cea\u306e\u30c6\u30b9\u30c8(x=1x=1\u306e\u5834\u5408):x=0x=0\u3092\u78ba\u8a8d\u305b\u3088: f\u2032(0)=\u22123f\u2032(0)=\u22123 (\u8ca0)\u3002x=2x=2\u3092\u78ba\u8a8d\u305b\u3088: f\u2032(2)=3(4)\u22123=9f\u2032(2)=3(4)\u22123=9 (\u6b63)\u3002\u8ca0 \u2192 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