优优班--学霸训练营 > 知识点挑题
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            • 1.
              设集合\(A=\{1,2,3,4\}\),\(B=\{-1,0,2,3\}\),\(C=\{x∈R|-1\leqslant x < 2\}\),则\((A∪B)∩C=(\)  \()\)
              A.\(\{-1,1\}\)
              B.\(\{0,1\}\)
              C.\(\{-1,0,1\}\)
              D.\(\{2,3,4\}\)
            • 2. 已知A={x|a-4<x<a+4},B={x|x<-1或x>5}.
              (1)若a=1,求A∩B;
              (2)若A∪B=R,求实数a的取值范围.
            • 3.
              设集合\(A=\{1,2,3\}\),\(B=\{2,3,4\}\),则\(A∪B=(\)  \()\)
              A.\(\{1,2,3,4\}\)
              B.\(\{1,2,3\}\)
              C.\(\{2,3,4\}\)
              D.\(\{1,3,4\}\)
            • 4.
              设集合\(A=\{1,2,6\}\),\(B=\{2,4\}\),\(C=\{1,2,3,4\}\),则\((A∪B)∩C=(\)  \()\)
              A.\(\{2\}\)
              B.\(\{1,2,4\}\)
              C.\(\{1,2,4,6\}\)
              D.\(\{1,2,3,4,6\}\)
            • 5. 设集合\(A=\{y|y=\log _{ \frac {1}{2}}x, \dfrac {1}{8}\leqslant x\leqslant 2\},B=\{x|y= \sqrt {3^{x-a}-1}\}\).
              \((1)\)若\(a=2\),求\(A∩B\);
              \((2)\)若\(A∪B=B\),求实数\(a\)的取值范围.
            • 6. 已知集合\(M=\{1,2,3\}\),\(N=\{2,3,4\}\),则\(M∪N=\) ______ .
            • 7. 已知集合\(A=\{x|x^{2} < 2-x\}\),\(B=\{x|-1 < x < 2\}\),则\(A∪B=(\)  \()\)
              A.\((-1,1)\)
              B.\((-2,2)\)
              C.\((-1,2)\)
              D.\((-2,1)\)
            • 8. 已知函数\(f(x)= \sqrt {x-3}- \dfrac {1}{ \sqrt {7-x}}\)的定义域为集合\(A.\)且\(B=\{x∈Z|2 < x < 10\}\),\(C=\{x∈R|x < a\)或\(x > a+1\}\).
              \((\)Ⅰ\()\)求\(A\)和\((∁_{U}A)∩B\);
              \((\)Ⅱ\()\)若\(A∪C=R\),求实数\(a\)的取值范围.
            • 9. 设集合\(A=\{x|x^{2}-3x+a=0\}\),\(B=\{x|x^{2}+b=0\}\),若\(A∩B=\{2\}\),求\(A∪B\).
            • 10. 已知集合\(A=\{-1,a\}\),\(B=\{\log _{2}a,b\}\),若\(A∩B=\{1\}\),则\(A∪B=(\)  \()\)
              A.\(\{-1,0\}\)
              B.\(\{0,1,3\}\)
              C.\(\{-1,1\}\)
              D.\(\{-1,0,1\}\)
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