• 2022-06-07
    证明不等式[tex=12.429x1.286]Kit/PExCOWnfuERcxfvK4NChO9vvbtLdKmq0bT1U548HvH6oDHUYj8hDHPQECLYP[/tex]。
  • 知识点:利用拉格朗日中值定理。思路:用拉格朗日中值定理证明不等式的过程:寻找函数[tex=3.714x1.286]ILxTGSNsFVqbb4UrB1q2og==[/tex],通过式子[tex=8.357x2.071]lzQv80ZLeUASAnm5Ehn9hbGWSVWhGIVNKHZlFA8UkLUr+OlvKuoYy35h1X4llRXY[/tex](或[tex=11.0x1.286]2xbqG656S43Gy9MVz3WEQAnKOB/CazKKW978URURTPewS/JSDBGjv9Hp9gsiAjc2[/tex])证明的不等式。证明:令[tex=6.643x1.286]ZB2LJriDYVAW6PsRMeq62tglyPpwujFcmjlu4S+2WDk=[/tex],[tex=0.714x1.286]wbdAxWgHFhoV9XdVGDcK2w==[/tex][tex=1.857x1.286]G6WxJ307HB2e1l7Qz3uNbQ==[/tex]在[tex=1.929x1.286]vPlUmwL8t1REs9r1XOy2kg==[/tex]上连续,在[tex=2.071x1.286]Q9EbYIIWqK0gqhJcCkS6lw==[/tex]内可导,[tex=0.714x1.286]Mjp1ERIg12NQkOrp1BseMg==[/tex]由拉格朗日中值定理,得[tex=16.357x1.286]Kit/PExCOWnfuERcxfvK4Kw9RqkIOUDDun8Dm5oj9euU38s6CEZj3v6bm+25n2lBcitd/FgjYJbq+/Iku4u2Sw==[/tex][tex=10.143x2.429]icJndWD0f3otz3y9pX8gd3+suTPZgpaYGuyOfalFI91c1bOCIoU/XlB1bknEBS6Y5MHvd8g/Om5eq8x3CJfCQQ==[/tex]

    内容

    • 0

      >>>x= [10, 6, 0, 1, 7, 4, 3, 2, 8, 5, 9]>>>print(x.sort()) 语句运行结果正确的是( )。 A: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10] B: [10, 6, 0, 1, 7, 4, 3, 2, 8, 5, 9] C: [10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0] D: ['2', '4', '0', '6', '10', '7', '8', '3', '9', '1', '5']

    • 1

      set1 = {x for x in range(10)} print(set1) 以上代码的运行结果为? A: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} B: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9,10} C: {1, 2, 3, 4, 5, 6, 7, 8, 9} D: {1, 2, 3, 4, 5, 6, 7, 8, 9,10}

    • 2

      设 [tex=4.071x1.286]nR/cJv6OqBZsTDNk+MpaBw==[/tex],证明不等式[p=align:center][tex=12.0x2.286]X/Ri20XB58Oz2ZfZYw8yP6qEPtmDovjJXhp8eOv8KNGfaJgnC6X1XEJ+2xzOJGQkwqKgHtAAyzdujVIOGdlO7gycABMU66WddDs30mp1D7k=[/tex]。(本题满分8分)

    • 3

      【计算题】5 ×8= 6×4= 7×7= 9×5= 2×3= 9 ×2= 8×9= 7×8= 5×5= 4×3= 5+8= 6 ×6= 3×7= 4×8= 9×3= 1 ×2= 9×9= 6×8= 8×0= 4×7=

    • 4

      设[tex=0.929x1.286]uswT/CEcOIwMpCvTz/zeaA==[/tex]是一随机变量,[tex=1.214x1.286]ywJhPpsrK/zutVlpmSO1aw==[/tex]为任意实数,[tex=1.714x1.286]p+zOLBbKURbVjWbmuQcavg==[/tex]为[tex=0.929x1.286]uswT/CEcOIwMpCvTz/zeaA==[/tex]的数学期望,则有[input=type:blank,size:6][/input] . 未知类型:{'options': ['[tex=12.429x1.286]q8HyMzYbNdS1m5JUH9I4P2hQkYCLaYrqtxCkFw7B/sNfba/3vR/wvSOSMJOWk78q[/tex]', '[tex=12.429x1.286]q8HyMzYbNdS1m5JUH9I4P2ulDzbX1WJGk5hIN2LNVZWDlNVuxPvZEsiV3Cup+6g7[/tex]', '[tex=12.429x1.286]q8HyMzYbNdS1m5JUH9I4P43nhMlotD7qMdvbP2wr7qcU8ZwIGcFbGu9PHX0MceTbQAQjho10ZtEiYsmPIVEROw==[/tex]', '[tex=7.214x1.286]q8HyMzYbNdS1m5JUH9I4P7W9T0H0r3AUr6X06QcrlSNOXiTxR1DoUbzN1GIHu6tj[/tex]'], 'type': 102}