优优班--学霸训练营 > 知识点挑题
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            • 1.

              设集合\(A=\{(x,y)|y=x\}\)与集合\(B=\{(x,y)|x=a+\sqrt{1-{{y}^{2}}},a\in R\}\),若\(A\cap B\)的元素只有一个,则实数\(a\)的取值范围是\((\)     \()\)

              A.\(a=\pm \sqrt{2}\)
              B.\(-1 < a < 1\)或\(a=\pm \sqrt{2}\)
              C.\(a=\sqrt{2}\)或\(-1\leqslant a < 1\)
              D.\(-1 < a\leqslant 1\)或\(a=-\sqrt{2}\)
            • 2.
              已知集合\(A=\{x|-l < x < l\}\),\(B=\{x|\log _{2}x < 1\}\),则\(A∩B=(\)  \()\)
              A.\((\)一\(1\),\(2)\)
              B.\((0,1)\)
              C.\((\)一\(1\),\(1)\)
              D.\((1,2)\)
            • 3.

              已知集合\(A=\{x|x+1\geqslant 0,x∈R)\),\(B=\{x|x < 3,x∈N\}\),则\(A∩B=\)

              A.\(\{\)一\(1\),\(0\),\(1\}\)
              B.\(\{0,1\}\)
              C.\(\{1\}\)
              D.\(\{\)一\(1\),\(1\}\)
            • 4. 设集合A={x|>0},B={x|x+2≥0},则A∩B=(  )
              A.{x|-1<x<1}
              B.{x|x≥-2}
              C.{x|-2≤x<1}
              D.{x|-1<x≤2}
            • 5. 已知集合,B={x|1<x≤2},则A∩B=(  )
              A.(1,2)
              B.(1,2]
              C.[-1,2]
              D.[-1,2)
            • 6.
              集合\(M=\{(x,y)|y= \sqrt {4-x^{2}}\}\),\(N=\{(x,y)|x-y+m=0\}\),若\(M∩N\)的子集恰有\(4\)个,则\(m\)的取值范围是\((\)  \()\)
              A.\((-2 \sqrt {2},2 \sqrt {2})\)
              B.\([-2,2 \sqrt {2})\)
              C.\((-2 \sqrt {2},-2]\)
              D.\([2,2 \sqrt {2})\)
            • 7.

              若集合\(A\)\(=\{0,\sqrt{2},\)\(x\)\(\}\),\(B\)\(=\{\)\(x\)\(\}\),\(A\bigcap B\ne \varnothing \),则满足条件的实数\(x\)

              A.\(4\)个
              B.\(3\)个
              C.\(2\)个
              D.\(1\)个
            • 8. 已知集合\(A=\{ \)\(x\)\(|\) \(\log \)\({\,\!}_{2}\) \(x\)\( > 0\}\),\(B=\{ \)\(x\)\(|\) \(x\)\( < 1\}\),则(    )
              A.\(A∩B=\varnothing \)   
              B.\(A∪B=R\)   
              C.\(B⊆A\)    
              D.\(A⊆B\)
            • 9.

              已知集合\(A=\{-1,0,1,2,4\}\),\(B=\{x∈N|x^{2}-2\leqslant 0\}\),则\(A∩B\)的子集个数有\((\)      \()\)个


              A.\(1\)        
              B.\(2\)           
              C.  \(3\)         
              D.   \(4\)
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