优优班--学霸训练营 > 知识点挑题
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            • 1.
              已知集合\(A=\{x|\log _{2}(4+x-x^{2}) > 1\}\),集合\(B=\{y|y=( \dfrac {1}{2})^{x},x > 1\}\),则\(A∩(∁_{R}B)=(\)  \()\)
              A.\([ \dfrac {1}{2},2)\)
              B.\((-1, \dfrac {1}{2}]\)
              C.\((-1,0]∪[ \dfrac {1}{2},2)\)
              D.\((-∞,-1)∪(2,+∞)\)
            • 2.
              设集合\(A=\{-3,-1,1,3\}\),\(B=\{x|x^{2}+2x-3=0\}.\)则\(A∩(∁_{R}B)=(\)  \()\)
              A.\(\{1,-3\}\)
              B.\(\{-1,-3\}\)
              C.\(\{-1,3\}\)
              D.\(\{1,3\}\)
            • 3.
              设集合\(A=\{x|(x+3)(x-6)\geqslant 0\}\),\(B=\{x|2^{x}\leqslant \dfrac {1}{4}\}\),则\((∁_{R}A)∩B=(\)  \()\)
              A.\((-3,6)\)
              B.\([6,+∞)\)
              C.\((-3,-2]\)
              D.\((-∞,-3)U(6,+∞)\)
            • 4.
              已知集合\(A=\{x||x-1|\leqslant 2\}\),\(B=\{x|0 < x\leqslant 4\}\),则\((∁_{R}A)∩B=(\)  \()\)
              A.\(\{x|0 < x\leqslant 3\}\)
              B.\(\{x|-3\leqslant x\leqslant 4\}\)
              C.\(\{x|3 < x\leqslant 4\}\)
              D.\(\{x|-3 < x\leqslant 0\}\)
            • 5.
              已知\(A=\{x|-1 < 2x-1 < 5\}\),\(B=\{y|y=2^{x},x > 0\}\),则\((∁_{R}A)∪B=(\)  \()\)
              A.\(\{x|x\leqslant 0\)或\(x > 1\}\)
              B.\(\{x|x\leqslant 0\)或\(x\geqslant 1\}\)
              C.\(\{x|1 < x\leqslant 3\}\)
              D.\(\{x|x\geqslant 3\}\)
            • 6.
              集合\(M=\{x|x\geqslant -2\}\),\(N=\{x|2^{x}-1 > 0\}\),则\(M∩(∁_{R}N)=(\)  \()\)
              A.\(\{x|x > 0\}\)
              B.\(\{x|x\geqslant -2\}\)
              C.\(\{x|-2\leqslant x < 0\}\)
              D.\(\{x|-2\leqslant x\leqslant 0\}\)
            • 7.
              设全集\(U=R\),\(A=\{x|x+1 < 0\}\),集合\(B=\{x|\log _{2}x < 1\}\),则集合\((∁_{U}A)∩B=(\)  \()\)
              A.\([-1,2]\)
              B.\((0,2)\)
              C.\([-1,+∞)\)
              D.\([-1,1)\)
            • 8.
              设全集\(U=\{0,1,2,3,4,5\}\),集合\(A=\{1,3\}\),\(B=\{3,5\}\),则\(∁_{U}(A∪B)=(\)  \()\)
              A.\(\{0,4\}\)
              B.\(\{1,5\}\)
              C.\(\{2,0,4\}\)
              D.\(\{2,0,5\}\)
            • 9.
              已知集合\(A=\{x|2x^{2}-7x < 0\}\),\(B=\{0,1,2,3,4\}\),则\((∁_{R}A)∩B=(\)  \()\)
              A.\(\{0\}\)
              B.\(\{1,2,3\}\)
              C.\(\{0,4\}\)
              D.\(\{4\}\)
            • 10.
              设全集\(U=\{-2,-1,0,1,2\}\),\(A=\{-2,-1,0\}\),\(B=\{0,1,2\}\)则\((∁_{U}A)∩B=(\)  \()\)
              A.\(\{0\}\)
              B.\(\{-2,-1\}\)
              C.\(\{0,1,2\}\)
              D.\(\{1,2\}\)
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