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            • 1.

              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________.

            • 2. 设全集\(U=R\),集合\(A=\{x|{{x}^{2}}-2x-3 < 0\}\),\(B=\{x|x-1\geqslant 0\}\),则图中阴影部分所表示的集合为(    )

              A.\(\{x|x\leqslant -1\)或\(x\geqslant 3\}\)
              B.\(\{x|x < 1\)或\(x\geqslant 3\}\)
              C.\(\{x|x\leqslant 1\}\)
              D.\(\{x|x\leqslant -1\}\)
            • 3.

              已知集合\(A{=}\{ x\left| x(x{-}1){ < }0\} \right.\),\(B{=}\{ x\left| \mathrm{e}^{x}{ > }1\} \right.\),则\(({{C}_{R}}A)\bigcap B=(\)    \()\).

              A.\({[}1{,+∞})\)
              B.\((0{,+∞})\)
              C.\((0{,}1)\)
              D.\({[}0{,}1{]}\)
            • 4.
              已知全集\(U=\{1,2,3,4,5,6\}\),集合\(P=\{1,3,5\}\),\(Q=\{1,2,4\}\),则\((∁_{U}P)∪Q=(\)  \()\)
              A.\(\{1\}\)
              B.\(\{3,5\}\)
              C.\(\{1,2,4,6\}\)
              D.\(D\)
            • 5.

              设集合\(A=\{x|x^{2}-3x < 0\}\),\(B=\{x||x| > 2\}\),则\(A∩(∁RB)=(\)  \()\)

              A.\(\{x|-2\leqslant x < 3\}\)                            
              B.\(\{x|0 < x\leqslant 2\}\)

              C.\(\{x|-2\leqslant x < 0\}\)                            
              D.\(\{x|2\leqslant x < 3\}\)
            • 6.

              实数集\(R\),设集合\(P{=}\{ x{|}x^{2}{-}4x{+}3{\leqslant }0\}{,}Q{=}\{ x{|}x^{2}{-}4{ < }0\}\),则\(P{∪}({{∁}}_{R}Q){=}({  })\)

              A.\({[}2{,}3{]}\)
              B.\((1{,}3)\)
              C.\((2{,}3{]}\)
              D.\(({-∞}{,}{-}2{]∪[}1{,}{+∞})\)
            • 7.

              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\(A∩{C}_{U}B =(\)     \()\)

              A.\(\left\{ x\left| 1 < x < 2 \right. \right\}\)
              B.\(\left\{ x\left| 0 < x\leqslant 1 \right. \right\}\)
              C.\(\left\{ x\left| 0 < x < 1 \right. \right\}\)
              D.\(\left\{ x\left| 1\leqslant x < 2 \right. \right\}\) 
            • 8.

              设集合\(A=\{x|{x}^{2}-4x-5\geqslant 0\},B=\{x|{2}^{x} < 8\} \),则\((C_{R}A)∩B=\)

              A.\((-5,3)\)         
              B.\((-∞,3)\)         
              C.\((-1,3)\)             
              D.\((0,3)\)
            • 9.
              已知集合\(A=\{x|2\leqslant x\leqslant 8\}\),\(B=\{x|1 < x < 6\}\),\(C=\{x|x > a\}\),\(U=R\).
              \((\)Ⅰ\()\)求\(A∪B\),\((∁_{U}A)∩B\);
              \((\)Ⅱ\()\)如果\(A∩C\neq \varnothing \),求\(a\)的取值范围.
            • 10.

              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\({{C}_{U}}A\bigcap B=(\)     \()\)

              A.\((4,+\infty )\)
              B.\([0,\dfrac{1}{2}]\)
              C.\((\dfrac{1}{2},4]\)
              D.\((1,4]\)
            0/40

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