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曲线C:f(x)=xlnx(x>0)在x=1处的切线方程为 .
曲线C:f(x)=xlnx(x>0)在x=1处的切线方程为 .
考点分析:
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给出定义:若
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(其中m为整数),则m叫做离实数x最近的整数,记作{x},即{x}=m在此基础上给出下列关于函数f(x)=|x-{x}|的四个命题:
①
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;②f(3.4)=-0.4;
③
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;④y=f(x)的定义域为R,值域是
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;
则其中真命题的序号是( )
A.①②
B.①③
C.②④
D.③④
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函数y=
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的图象大致为( )
A.
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B.
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C.
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D.
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设直线x=t与函数f(x)=x
2,g(x)=lnx的图象分别交于点M,N,则当|MN|达到最小时t的值为( )
A.1
B.
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C.
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D.
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直角坐标系xoy中,以原点为极点,x轴的正半轴为极轴建极坐标系,设点A,B分别在曲线
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(θ为参数)和曲线C
2:ρ=1上,则|AB|的最小值为( )
A.1
B.2
C.3
D.4
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