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            • 1.
              集合\(A=\{x|-3\leqslant x < 5\}\),\(B=\{x|-2 < x < 7\}\)
              \((1)\)求\(A∩B\),\(A∪B\)
              \((2)(∁_{R}A)∩B\).
            • 2.

              已知集合\(A=\{x|3^{x} > 1\}\),集合\(B=\{x|-1 < x < 2\}\).

              \((\)Ⅰ\()\)求\(({C}_{R}A)∩B \);

              \((\)Ⅱ\()\)若集合\(C=\{x|2a+a > 0\}\),满足\(B∪C=C\),求实数\(a\)的取值范围.

            • 3.

              设集合\(A=\{1,2,6\},B=\{2,4\},C=\{x\in R|-1\leqslant x\leqslant 5\}\),则\((A\bigcup B)\bigcap C=\)

              A.\(\{2\}\)
              B.\(\{1,2,4\}\)
              C.\(\{1,2,4,6\}\)
              D.\(\{x\in R|-1\leqslant x\leqslant 5\}\)
            • 4.

              已知集合\(A=\left\{x| \dfrac{6}{x+1}\geqslant 1,x∈R\right\},B=\left\{x|{x}^{2}-2x-m < 0\right\} \)

                 \((\)Ⅰ\()\)求集合\(A\);

                 \((\)Ⅱ\()\)当\(m=3\)时,求\(A∩ {{C}_{R}}B\).

            • 5.

              设全集\(U=\left\{ 1,2,3,4,5 \right\}\),\(A=\left\{ 1,2 \right\}\) \(B=\left\{ 2,3,4 \right\}\)则\(\left( {{C}_{U}}A \right)\cup B=\)(    )

              A.\(\left\{ 3,4 \right\}\)
              B.\(\left\{ 3,4,5 \right\}\)
              C.\(\left\{ 1,2,3,4 \right\}\)
              D.\(\left\{ 2,3,4,5 \right\}\)
            • 6.

              已知集合\(A=\{x|y= \sqrt{x-4}\}\),\(B=\{x|-1\leqslant 2x-1\leqslant 0\}\),则\(({{C}_{R}}A)∩B=(\)  \()\).

              A.\((4,+∞)\)   
              B.\(\left[ \left. 0, \dfrac{1}{2} \right. \right]\)       
              C.\(\left( \left. \dfrac{1}{2},4 \right. \right]\)
              D.\((1,4]\)
            • 7.

              已知集合\(A=\left\{ x\left| 3 < x < 10 \right. \right\},B=\left\{ x\left| {{x}^{2}}-9x+14 < 0 \right. \right\},C=\left\{ 5-m < x < 2m \right\}\)

              \((1)\)求\(A\cap B,({{C}_{R}}A)\cup B\)

              \((2)\)若\(x∈C\)是\(x∈(A∩B)\)的充分不必要条件,求实数\(m\)的取值范围

            • 8. 设全集U=R,集合A={x|x≥3},B={x|0≤x<5},则集合(∁UA)∩B=(  )
              A.{x|0<x<3}
              B.{x|0≤x<3}
              C.{x|0<x≤3}
              D.{x|0≤x≤3}
            • 9.

              已知全集\(U{=}\{ 1{,}2{,}3{,}4{,}5{,}6\}\),集合\(P{=}\{ 1{,}3{,}5\}{,}Q{=}\{ 1{,}2{,}4\}\),则\(({{∁}}_{U}P){∪}Q{=}({  })\)

              A.\(\{ 1\}\)
              B.\(\{ 1{,}2{,}4{,}6\}\)
              C.\(\{ 3{,}5\}\)         
              D.\(\{ 1{,}2{,}3{,}4{,}5\}\)
            • 10.

              已知集合\(P=\{x|x-1\leqslant 0\},Q=\{x|0\leqslant x\leqslant 2\}\),则\(({{C}_{R}}P)\bigcap Q=(\)  \()\)

              A.\((0,1)\)
              B.\((0,2]\)
              C.\([1,2]\)
              D.\((1,2]\) 
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