优优班--学霸训练营 > 知识点挑题
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            • 1.
              已知集合\(A=\{x| \dfrac {1}{2} < 2^{x}\leqslant 2\}\),\(B=\{x|\ln (x- \dfrac {1}{2})\leqslant 0\}\),则\(A∩(∁_{R}B)=(\)  \()\)
              A.\(\varnothing \)
              B.\((-1, \dfrac {1}{2}]\)
              C.\([ \dfrac {1}{2},1)\)
              D.\((-1,1]\)
            • 2.
              已知集合\(A=\{x|2 < x < 4\}\),\(B=\{x|x < 3\)或\(x > 5\}\),则\(A∪∁_{R}B=(\)  \()\)
              A.\(\{x|2 < x\leqslant 5\}\)
              B.\(\{x|x < 4\)或\(x > 5\}\)
              C.\(\{x|2 < x < 3\}\)
              D.\(\{x|x < 2\)或\(x\geqslant 5\}\)
            • 3.

              已知集合\(A{=}\{ x{|}x^{2}{-}3x{ < }0\}{,}B{=}\{ x{|}x{ > }2\}\),则集合\(A{∩}({{∁}}_{R}B){=}({  })\)

              A.\((0{,}2{]}\)
              B.\({[}2{,}3)\)
              C.\((3{,}{+∞})\)
              D.\(({-∞}{,}0)\)
            • 4.

              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.\(({-∞}{,}{-}2{]∪[}1{,}{+∞})\)
            • 5.

              设全集\(U=R\),集合\(A{=}\left\{ x\left| {{\log }_{2}}x\leqslant 1 \right. \right\}\),\(B=\left\{ x\left| {{x}^{2}}+x-2\geqslant 0 \right. \right\}\),则\(A∩{∁}_{U}B= \) \((\)     \()\)

              A.\(\left( 0,1 \right]\)
              B.\(\left( -2,2 \right]\)
              C.\((0,1)\)
              D.\(\left[ -2,2 \right]\)
            • 6.

              设集合 \(A=\{ 1,2,3,4,5,6\}\),\(B=\{x|2 < x < 5\}\),则\(A∩(∁_{R}B)=(\)  \()\)

              A.\(\{ 2,3,4,5\}\)    
              B.\(\{ 1,2,5,6\}\)         
              C.\(\{ 3,4\}\)     
              D.\(\{ 1,6\}\)
            • 7.

              若集合\(M=\left\{x|y=\lg \dfrac{2-x}{x}\right\},N=\left\{x|x < 1\right\} \),则\(M∩{C}_{R}N \) \((\)    \()\)

              A.\(\left(0,2\right) \)
              B.\((0,2]\)
              C.\([1,2)\)
              D.\(\left(0,+∞\right) \)
            • 8.

              已知集合\(A=\{x|3\leqslant x < 7\}\),\(B=\{x|2 < x < 9\}\),则\(({{C}_{U}}A)\cap B=(\)  \()\)

              A.\(\varphi \) 
              B.\(\{x|7 < x < 9\}\) 
              C.\(\left\{x|2 < x < 3或7\leqslant x < 9\right\} \)  
              D.\(\{x|2 < x < 9\}\)
            • 9.

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

              A.\(\{2,4,6\}\)
              B.\(\{1,3,5\}\)
              C.\(\{x\in Z\left| 0\leqslant x\leqslant 6\} \right.\)
              D.\(\{0,2,4,6\}\) 
            • 10.

              设全集\(U=R\),\(A=\{x|y=\sqrt{2x-{{x}^{2}}}\}\),\(B=\{y|y={{2}^{x}},x\in R\}\),则\(({C}_{R}A)∩B= \) 

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