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对于实数x,若n∈Z,n≤x<n+1,规定[x]=n,则不等式4[x]2-60[...
对于实数x,若n∈Z,n≤x<n+1,规定[x]=n,则不等式4[x]2-60[x]+125<0的解集是( )
A.[3,13]
B.[4,12]
C.[3,13)
D.[4,12)
考点分析:
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定义
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设实数x、y满足约束条件
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且z=max{4x+y,3x-y},则z的取值范围为( ).
A.[-6,0]
B.[-7,10]
C.[-6,8]
D.[-7,8]
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在△ABC中,a,b,c分别为三个内角A,B,C所对的边,设向量
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,若
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,则角A的大小为( )
A.
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B.
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C.
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D.
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如图是一个空间几何体的三视图,根据图中尺寸(单位:cm),可知几何体的表面积是( )
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A.
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B.
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C.
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D.
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①若m∥n,m⊥α,则n⊥α
②若m⊥α,m⊥β,则α∥β;
③若m⊥α,m∥n,n⊂β,则α⊥β;
④若m∥α,α∩β=n,则m∥n,
其中不正确的命题的个数是( )
A.0个
B.1个
C.2个
D.3个
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在圆x
2+y
2=5x内,过点
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有n条弦的长度成等差数列,最短弦长为数列的首项a
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n,若公差
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,那么n的取值集合为( )
A.{4,5,6}
B.{6,7,8,9}
C.{3,4,5}
D.{3,4,5,6}
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