优优班--学霸训练营 > 知识点挑题
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            • 1.

              设集合\(A=\{x|x^{2}-2x-3 < 0\}\),\(B=\{x|x > 0\}\),则\(A∪B=\)  \((\)    \()\)

              A.\((-1,+∞)\)
              B.\((-∞,3)\)
              C.\((0,3)\)
              D.\((-1,3)\)
            • 2.

              设集合\(A=\left\{ \left. 5, \dfrac{b}{a},a-b \right. \right\}\),\(B=\{b,a+b,-1\}\),若\(A∩B=\{2,-1\}\),则\(A∪B=(\)  \()\)

              A.\(\{2,3\}\)                                              
              B.\(\{-1,2,5\}\)

              C.\(\{2,3,5\}\)                                         
              D.\(\{-1,2,3,5\}\)
            • 3.
              集合 \(P\)\(=\{1,2,3,4\}\), \(Q\)\(=\{2,4\}\),则 \(P\)\(∪\) \(Q\)\(=(\)  \()\)
              A.\(\{1\}\)   
              B.\(\{1,2\}\)   
              C.\(\{1,2,3\}\)   
              D.\(\{1,2,3,4\}\)
            • 4. 已知集合\(A=\{x|x^{2}+3x-10\leqslant 0\}\)
              \((1)\)若集合\(B=[-2m+1,-m-1]\),且\(A∪B=A\),求实数\(m\)的取值范围;
              \((2)\)若集合\(B=\{x|-2m+1\leqslant x\leqslant -m-1\}\),且\(A∪B=A\),求实数\(m\)的取值范围.
            • 5.

              已知集合\(A=\{1,2,3\} \),\(B=\{x|(x+1)(x-2) < 0,x∈Z\}, \),则\(A∪B= (\)   \()\) 

              A.\(\{1\}\)     
              B.\(\{1,2\}\)     
              C.\(\{0,1,2,3\}\)       
              D.\(\{-1,0,1,2,3\}\)
            • 6.

              已知集合 \(A=\)\(\{ \)\(x|-\)\(1\) \( < x < \)\(1\}\), \(B=\)\(\{ \)\(x|x < a\)\(\}\),若 \(A\)\(∪\) \(B=\)\(\{ \)\(x|x < \)\(1\}\),则 \(a\)的取值范围是                  

            • 7. 设集合\(A=\{x|(x+1)(x-2) < 0\}\),集合\(B=\{x|1 < x < 3\}\),则\(A∪B=(\)  \()\)
              A.\(\{x|-1 < x < 3\}\)
              B.\(\{x|-1 < x < 1\}\)
              C.\(\{x|1 < x < 2\}\)
              D.\(\{x|2 < x < 3\}\)
            • 8. 已知集合\(A=\{1,2,6\}\),\(B=\{2,3,6\}\),则\(A∪B=\) ______ .
            • 9.

              已知集合\(A={ }\!\!\{\!\!{ }x\in Z||{{x}^{2}}-4x| < 4\}\),\(B=\{y\in {{N}_{+}}|{{\left( \dfrac{1}{2} \right)}^{y}}\geqslant \dfrac{1}{8}\}\),记\({card}A\)为集合\(A\)的元素个数,则下列说法不正确的是\((\) \()\)

              A.\({card}A=5\)
              B.\({card}B=3\)
              C.\(card(A∩B)=2 \)
              D.\(card(A∪B)=5 \)
            • 10.

              已知集合\(A=\{x|y=\lg (3-2x)\}\),\(B=\{x|x^{2}\leqslant 4\}\),则\(A∪B=(\)   \()\)

              A.\(\{x|-2\leqslant x\leqslant \dfrac{3}{2}\} \)
              B.\(\{x|x < 2\}\)
              C.\(\{x|x\leqslant 2\}\)
              D.\(\{x|-2 < x < \dfrac{3}{2}\} \)
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