优优班--学霸训练营 > 知识点挑题
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            • 1.

              设非空集合\(P\),\(Q\)满足\(P∩Q=P\),则 (    )

              A.\(∀x∈Q\),\(x∈P\)
              B.\(∀x∉Q\),\(x∉P\)
              C.\(∃x_{0}∉Q\),\(x_{0}∈P\)
              D.\(∃x_{0}∈P\),\(x_{0}∉Q\)
            • 2.

              从\(\left\{ \left. a,b,c,d,e \right. \right\}\)的所有子集中任取一个,这个集合恰是集合\(\left\{ \left. a,b,c \right. \right\}\)子集的概率是\((\)  \()\)

              A.\( \dfrac{3}{5}\)
              B.\( \dfrac{2}{5}\)

              C.\( \dfrac{1}{4}\)
              D.\( \dfrac{1}{8}\)
            • 3.

              设集合\(M=\{-1,1\}\),\(N=\{x|\dfrac{1}{x} < 3\}\),则下列结论正确的是

              A.\(N\subseteq M\)
              B.\(M\subseteq N\)
              C.\(N∩M=Φ\)
              D.\(M∪N=R\)
            • 4.

              已知集合 \(A=\left\{ 0,2,4,6 \right\}\),\(B=\{x\in {N}|{{2}^{x}}\leqslant 33\}\),则集合\(A\bigcap B\)的子集个数为\((\)    \()\)

              A.\(6\)                
              B.\(7\)                 
              C.\(8\)                 
              D.\(4\)
            • 5.
              已知\(i\)是虚数单位,且集合\(M=\{z|z=( \dfrac {i-1}{i+1})^{n},n∈N^{*}\}\),则集合\(M\)的非空子集的个数为\((\)  \()\)
              A.\(16\)
              B.\(15\)
              C.\(8\)
              D.\(7\)
            • 6. 已知集合\(A=\{1,3,4,5\}\),集合\(B=\{x∈Z|x^{2}-4x-5 < 0\}\),则\(A∩B\)的子集个数为\((\)    \()\)
              A.\(2\)
              B.\(4\)
              C.\(8\)
              D.\(16\)
            • 7. 若集合\(A=\{x|ax^{2}-3x+2=0,a∈R\}\)有且仅有两个子集,求实数\(a\)的取值范围.
            • 8.

              已知集合\(A=\{0,2,4,6\}\),\(B=\{n∈N|2^{n} < 33\}\),则集合\(A∩B\)的子集个数为\((\)   \()\)

              A.\(8\)   
              B.\(7\)   
              C.\(6\)   
              D.\(4\)
            • 9.
              从\(\left\{\begin{matrix} a,b,c,d,e \end{matrix}\right\}\)的所有子集中任取一个,这个集合恰是集合\(\left\{\begin{matrix} a,b,c \end{matrix}\right\}\)子集的概率是(    )
              A.\( \dfrac{3}{5}\)                                  
              B.\( \dfrac{2}{5}\)
              C.\( \dfrac{1}{4}\)                                   
              D.\( \dfrac{1}{8}\)
            • 10.

              已知集合\(A\)\(={1\),\(x\)\({\,\!}^{- \frac{1}{2}}}\),\(B\)\(={0\),\(1\),\(2}\),若\(A\)\(⊆\)\(B\),则\(x\)\(=\)________.

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