优优班--学霸训练营 > 知识点挑题
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            • 1.

              已知全集\(U=\left\{2,3,4,5,6,7\right\} \),\(M=\left\{3,5,7\right\} \),\(N=\left\{2,3,4,5\right\} \),则图中的阴影部分表示的集合是

                  

              A.\(\left\{2,3,4,5\right\} \)
              B.\(\left\{2,4\right\} \)
              C.\(\left\{3,5\right\} \)
              D.\(\left\{7\right\} \)
            • 2.

              已知集合\(A=\{x|x(x-1) < 0\}\),\(B=\{x|e^{x} > 1\}\),则\((C_{R}A)∩B=\)(    )

              A.\([1,+∞)\)
              B.\((0,+∞)\)
              C.\((0,1)\)
              D.\([0,1]\)
            • 3.

              设全集\(U{=}\{ 1{,}2{,}3{,}4{,}5\}\),集合\(A{=}\{ 1{,}3{,}5\}\),集合\(B{=}\{ 3{,}4\}\),则\(({{∁}}_{U}A){∩}B{=}({  })\)

              A.\(\{ 3\}\)
              B.\(\{ 2{,}\ 3{,}\ 4\}\)
              C.\(\{ 3{,}4\}\)
              D.\(\{ 4\}\)
            • 4.

              已知全集\(U=\left\{ x\in Z|{{x}^{2}}-5x-6 < 0 \right\},A=\left\{ x\in Z\left| -1 < x\leqslant 2 \right. \right\}\),\(B=\left\{ 2,3,5 \right\}\),则\(\left( {{\complement }_{U}}A \right)\bigcap B=\)  \((\)    \()\)

              A.\(\left\{ 2,3,5 \right\}\)
              B.\(\left\{ 3,5 \right\}\)
              C.\(\left\{ 2,3,4,5 \right\}\)
              D.\(\left\{ 3,4,5 \right\}\)
            • 5.

              已知全集\(U=\{1,2,3,4,5,6\}\),集合\(A=\{2,3,5\}\),\(B=\{1,3,4,6\}\),则\(A\bigcap \left( {{C}_{U}}B \right)=(\)    \()\)

              A.\(\{3\}\)
              B.\(\{2,5\}\)
              C.\(\{1,4,6\}\)
              D.\(\{2,3,5\}\)
            • 6.

              设\(U=R\),\(A=\left\{x|y= \sqrt{x}\right\},B=\left\{y|y=-{x}^{2}\right\} \),则\(A∩(∁_{U}B)=(\)  \()\)

              A.\(φ\)                                
              B.\(R\)                                
              C.\(\{x|x > 0\}\)                  
              D.\(\{0\}\)
            • 7. 已知全集\(U=R \),设集合\(A=\left\{ \left.x \right|y=\lg \left(x-1\right)\right\} \),集合\(B=\left\{ \left.y \right|y={2}^{x},x\geqslant 1\right\} \)则\(A∩\left({C}_{U}B\right) =(\)    \()\)     

              A.\(\left[1,2\right] \)
              B.\([1,2) \)
              C.\((1,2) \)
              D.\((1,2] \)
            • 8.
              若\(A\)、\(B\)、\(C\)为三个集合,\(A∪B=B∩C \),则一定有
              A.\(A⊆C \)          
              B. \(C⊆A \)         
              C. \(A\neq C \)            
              D. \(A\neq ϕ \)
            • 9.

              已知全集\(U=R\),集合\(A=\{x\left| {{x}^{2}} > 2x+3 \right.\}\),\(B=\{x\left| {{\log }_{3}}x > 1 \right.\}\),则下列关系正确的是

              A. \(A\bigcup {{C}_{U}}B=R\)
              B.\(B\bigcup {{C}_{U}}A=R\)
              C.\(A\bigcup B=R\)
              D.\(A∩B=A \)
            • 10. 已知全集\(U=R\),集合\(A=\{x|0\leqslant x\leqslant 3\}\),\(B=\{x|a < x\leqslant a+1\}\)
              \((1)\)当\(a=1\),求\(∁_{U}(A∩B)\)
              \((2)\)当集合\(A\),\(B\)满足\(A∪B=A\)时,求实数\(a\)的取值范围.
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