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数f(x)的图象如图所示,下列数值排序正确的是 http://picflow.koolearn.com/upload/papers/g02/20120923/201209231526396814654.png

发布时间:2021-07-15

A.0<f′(2)<f′(3)<f(3)﹣f(2)

B.0<f′(3)<f(3)﹣f(2)<f′(2)

C.0<f(3)<f′(2)<f(3)﹣f(2)

D.0<f(3)﹣f(2)<f′(2)<f′(3)

试卷相关题目

  • 1已知定义在R上的函数http://picflow.koolearn.com/upload/papers/g02/20120927/20120927220711677874.png满足http://picflow.koolearn.com/upload/papers/g02/20120927/201209272207133581693.pnghttp://picflow.koolearn.com/upload/papers/g02/20120927/20120927220714304874.png的导函数。已知http://picflow.koolearn.com/upload/papers/g02/20120927/201209272207153191194.png的图象如图所示,若两个正数http://picflow.koolearn.com/upload/papers/g02/20120927/20120927220716283711.png满足http://picflow.koolearn.com/upload/papers/g02/20120927/201209272207172751547.png,则http://picflow.koolearn.com/upload/papers/g02/20120927/201209272207188021019.png的取值范围是http://picflow.koolearn.com/upload/papers/g02/20120927/201209272207200558369.png

    A.http://picflow.koolearn.com/upload/papers/g02/20120927/201209272207213071278.png

    B.http://picflow.koolearn.com/upload/papers/g02/20120927/201209272207223452182.png

    C.http://picflow.koolearn.com/upload/papers/g02/20120927/20120927220723353902.png

    D.http://picflow.koolearn.com/upload/papers/g02/20120927/201209272207244041699.png

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  • 2已知函数http://picflow.koolearn.com/upload/papers/g02/20120918/201209181142558803988.png,使得佂x1∈[1,2],都有f(x1)<f(x0),则实数a的取值范围是

    A.(0,1)

    B.(1,2)

    C.(2,+∞)

    D.(0,1)∪(2,+∞)

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  • 3若函数f(x)=2x2﹣lnx在其定义域内的一个子区间(k﹣1,k+1)内不是单调函数,则实数k的取值范围是 

    A.[1,+∞)

    B.http://picflow.koolearn.com/upload/papers/g02/20120919/201209191607288931355.png

    C.[1,2)

    D.http://picflow.koolearn.com/upload/papers/g02/20120919/201209191607290201459.png

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  • 4若函数f(x)=2x2﹣lnx在其定义域内的一个子区间(k﹣1,k+1)内不是单调函数,则实数k的取值范围是

    A.[1,+∞)

    B.http://picflow.koolearn.com/upload/papers/g02/20120920/201209201717276181101.png

    C.[1,2)

    D.http://picflow.koolearn.com/upload/papers/g02/20120920/201209201717277421142.png

    开始考试点击查看答案
  • 5已知定义在R上的函数f(x)满足f(2)=1,f′(x)为f(x)的导函数.已知y=f′(x)的图象如图所示,若两个正数a,b满足f(2a+b)>1,则http://picflow.koolearn.com/upload/papers/g02/20120924/20120924165650540996.png的取值范围是http://picflow.koolearn.com/upload/papers/g02/20120924/201209241656516835802.png

    A.(http://picflow.koolearn.com/upload/papers/g02/20120924/201209241656523301232.png

    B.http://picflow.koolearn.com/upload/papers/g02/20120924/201209241656531982429.png

    C.(﹣2,1)

    D.(﹣∞,﹣2)∪(1,+∞)

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  • 6若在区间(a,b)内有f′(x)>0且f(a)≥0,则在(a,b)内有(  )

    A.f(x)>0

    B.f(x)<0

    C.f(x)=0

    D.不能确定

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  • 7若函数f(x)在区间(a,b)内函数的导数为正,且f(b)≤0,则函数f(x)在(a,b)内有(  )

    A.f(x)>0

    B.f(x)<0

    C.f(x)=0

    D.无法确定

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  • 8已知f"(x)是函数f(x)的导数,y=f"(x)的图象如图所示,则y=f(x)的图象最有可能是图中  http://picflow.koolearn.com/upload/papers/g02/20120904/201209042058429453020.png

    A.http://picflow.koolearn.com/upload/papers/g02/20120904/201209042058429752726.png

    B.http://picflow.koolearn.com/upload/papers/g02/20120904/201209042058430053276.png

    C.http://picflow.koolearn.com/upload/papers/g02/20120904/201209042058430362661.png

    D.http://picflow.koolearn.com/upload/papers/g02/20120904/201209042058430673365.png

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  • 9已知f(x),g(x)在[m,n]上可导,且f′(x)<g′(x),则当m<x<n时,有

    A.f(x)<g(x)

    B.f(x)>g(x)

    C.f(x)+g(n)<g(x)+f(n)

    D.f(x)+g(m)<g(x)+f(m)

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  • 10下列结论中正确的是(  )

    A.导数为零的点一定是极值点

    B.如果在x0附近的左侧f′(x)>0,右侧f′(x)<0,那么f(x0)是极大值

    C.如果在x0附近的左侧f′(x)>0,右侧f′(x)<0,那么f(x0)是极小值

    D.如果在x0附近的左侧f′(x)<0,右侧f′(x)>0,那么f(x0)是极大值

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