若函数y=(3a-1)x为指数函数,则a的取值范围为 .
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m,n∈R,集合
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,Q={n,0},若P=Q,则m+n的值等于
.
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已知函数f(x)=x
2+(3m+5)|x|+1的定义域为R,且函数有四个单调区间,则实数m的取值范围为( )
A.
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B.
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或m>-1
C.
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D.
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或m>-1
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如图所示为函数①y=a
x、②y=b
x、③y=log
cx、④y=log
dx的图象,其中a、b、c、d均大于0且不等于1,则 a、b、c、d大小关系为( )
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A.a>b>c>d
B.a>b>d>c
C.b>a>c>d
D.b>a>d>c
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下列函数中在区间(1,2)上有零点的是( )
A.f(x)=x
2-3x+2
B.f(x)=x
3-2x+3
C.f(x)=lgx+2x-3
D.f(x)=e
x+3x-5
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已知函数f(x)的定义域为[1,2],则函数f(2x+1)的定义域为( )
A.[3,5]
B.
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C.[1,2]
D.
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