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.
              已知全集\(U=R\),集合\(A=\{x|x^{2}-3x-18\geqslant 0\}\),\(B=\{x| \dfrac {x+5}{x-14}\leqslant 0\}\).
              \((1)\)求\((∁_{U}B)∩A\).
              \((2)\)若集合\(C=\{x|2a < x < a+1\}\),且\(B∩C=C\),求实数\(a\)的取值范围.
            • 3.

              已知集合\(A=\{x|x < 1\}\),\(B=\{x|e^{x} < 1\}\),则

              A.\(A∩B=\{x|x < 1\}\)
              B.\(A∪B=\{x|x < e\}\)
              C.\(A\bigcup {{\complement }_{R}}B=R\)
              D.\({{\complement }_{R}}A\bigcap B=\{x|0 < x < 1\}\)
            • 4.

              设 \(U=R\),集合\(A=\{x|x^{2}+3x+2=0\}\),\(B=\{x|x^{2}+(m+1)x+m=0\}\);若\({C}_{U}A∩B=ϕ \),则 \(m=(\)  \()\)。

              A.\(1\)    
              B.\(2\)     
              C.\(1\)或\(2\)     
              D.\(-1\)或\(1\)
            • 5.

              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.\(\{ 4\}\)
            • 6.
              已知全集\(U=\{1,2,3,4,5,6,7,8\}\),集合\(A=\{2,3,5,6\}\),集合\(B=\{1,3,4,6,7\}\),则集合\(A∩(∁_{U}B)=\) ______ .
            • 7.

              已知全集\(U=R\),\(A=\{x|x\leqslant 0\}\),\(B=\{x|x\geqslant 1\}\),则集合\(∁_{U}(A∪B)=\)________.

            • 8.

              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.\(\left\{ 3,4,5 \right\}\)
            • 9.

              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.\(\{2,3,5\}\)
            • 10.

              若集合\(A=\{y|0\leqslant y < 2\}\),\(B=\{x||x| > 1\}\),则\(A∩(∁RB)=\)(    )

              A.\(\{x|0\leqslant x\leqslant 1\}\) 
              B.\(\{x|1\leqslant x\leqslant 2\}\)
              C.\(\{x|-1 < x\leqslant 0\}\) 
              D.\(\{x|1 < x < 2\}\)
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