共50条信息
当两个集合中一个集合为另一集合的子集时称这两个集合构成“全食”,当两个集合有公共元素,但互不为对方子集时称这两个集合构成“偏食”\(.\)对于集合\(A=\left\{ \left. -1, \dfrac{1}{2},1 \right. \right\}\),\(B=\{x|ax^{2}=1,a\geqslant 0\}\),若\(A\)与\(B\)构成“全食”或构成“偏食”,则\(a\)的取值集合为________.
已知集合\(A{=}\{ x\left| x(x{-}1){ < }0\} \right.\),\(B{=}\{ x\left| \mathrm{e}^{x}{ > }1\} \right.\),则\(({{C}_{R}}A)\bigcap B=(\) \()\).
设集合\(A=\{x|x^{2}-3x < 0\}\),\(B=\{x||x| > 2\}\),则\(A∩(∁RB)=(\) \()\)
实数集\(R\),设集合\(P{=}\{ x{|}x^{2}{-}4x{+}3{\leqslant }0\}{,}Q{=}\{ x{|}x^{2}{-}4{ < }0\}\),则\(P{∪}({{∁}}_{R}Q){=}({ })\)
若全集\(U=R\),集合\(A=\left\{ x\left| 1 < {{2}^{x}} < 4 \right. \right\}\),\(B=\left\{ x\left| x-1\geqslant 0 \right. \right\}\),则\(A∩{C}_{U}B =(\) \()\)
设集合\(A=\{x|{x}^{2}-4x-5\geqslant 0\},B=\{x|{2}^{x} < 8\} \),则\((C_{R}A)∩B=\)
已知集合 \(A=\left\{ x\left| y=\sqrt{x-4} \right. \right\}\) ,\(B=\left\{ x\left| -1\leqslant 2x-1\leqslant 0 \right. \right\}\),则\({{C}_{U}}A\bigcap B=(\) \()\)
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