函数f(x)=x
3-3x
2+5在区间
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上的值域是
考点分析:
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函数f(x)=
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+(x-
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)
的定义域是
.
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已知命题p:方程x
2-3ax+2a
2=0在[-1,1]上有解;命题q:只有一个实数x满足不等式 x
2+2ax+2a≤0,若命题“p 或q”是假命题,则a的取值范围是( )
A.(-1,0)∪(0,1)
B.(-∞,-1)∪(1,2)∪(2,+∞)
C.(-2,-1)∪(1,2)
D.(-∞,-2)∪(2,+∞)
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定义在R上的偶函数f(x)满足f(x)=f(x+2),当x∈[3,4]时,f(x)=x-2,则( )
A.f(sin
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)<f(cos
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)
B.f(sin
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)>f(cos
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)
C.f(sin1)<f(cos1)
D.f(sin
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)>f(cos
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)
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设f(x)=|2-x
2|,若0<a<b,且f(a)=f(b),则ab的取值范围是( )
A.(0,2)
B.(0,2]
C.(0,4]
D.(0,4)
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函数f(x)的定义域为R,若f(x+1)与f(x-1)都是奇函数,则( )
A.f(x)是偶函数
B.f(x)是奇函数
C.f(x)=f(x+2)
D.f(x+3)是奇函数
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