优优班--学霸训练营 > 知识点挑题
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            • 1.

              已知命题\(p\):\({|}x{-}1{|+|}x{+}1{|\geqslant }3a\)恒成立,命题\(q\):\(y{=}(2a{-}1)^{x}\)为减函数,若\(p\)且\(q\)为真命题,则\(a\)的取值范围是\(({  })\)

              A.\(a{\leqslant }\dfrac{2}{3}\)
              B.\(0{ < }a{ < }\dfrac{1}{2}\)
              C.\(\dfrac{1}{2}{ < }a{\leqslant }\dfrac{2}{3}\)
              D.\(\dfrac{1}{2}{ < }a{ < }1\)
            • 2.

              函数\(f(x)=e1-x^{2}\)的部分图象大致是\((\)  \()\)

              A.
              B.
              C.
              D.
            • 3.

              已知集合\(A=\{x|x^{2}-4x+3 < 0\}\),\(B=\{x|1 < 2^{x}\leqslant 4,x∈N\}\),则\(A∩B=(\)  \()\)

              A.\(\varnothing \)                                               
              B.\((1,2]\)
              C.\(\{2\}\)                                            
              D.\(\{1,2\}\)
            • 4.

              已知集合\(A=\{x|x < 1\}\),\(B=\{x|e^{x} < 1\}\),则

              A.\(A∩B=\{x|x < 1\}\)
              B.\(A∪B=\{x|x < e\}\)
              C.\(A\bigcup {{\complement }_{R}}B=R\)
              D.\({{\complement }_{R}}A\bigcap B=\{x|0 < x < 1\}\)
            • 5.

              函数\(f(x){=}2^{x{+}1}({-}1{\leqslant }x{\leqslant }1)\)的值域是\(({  })\)

              A.\({[}0{,}2{]}\)
              B.\({[}1{,}4{]}\)
              C.\({[}1{,}2{]}\)
              D.\({[}0{,}4{]}\)
            • 6.

              函数\(f\)\((\)\(x\)\()=\)\(a^{x}\)\({\,\!}^{-}\)\({\,\!}^{b}\)的图象如图所示,其中\(a\)\(b\)为常数,则下列结论正确的是(    )

              A.\(a\)\( > 1\), \(b\)\( < 0\)                      
              B.\(a\)\( > 1\), \(b\)\( > 0\)
              C.\(0 < \) \(a\)\( < 1\), \(b\)\( > 0\)                               
              D.\(0 < \) \(a\)\( < 1\), \(b\)\( < 0\)
            • 7. \(3\)、已知命题 :实数\(m\)满足 ,命题 :函数 是增函数。若 为真命题, 为假命题,则实数\(m\)的取值范围为

              A.\((1,2)\)          
              B.\((0,1)\)      

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

            • 8.

              已知\(a > b\),则下列各式一定正确的是\((\)  \()\)

              A.\(a\lg x > b\lg x\)
              B.\(a{{x}^{2}} > b{{x}^{2}}\)
              C.\({{a}^{2}} > {{b}^{2}}\)
              D.\(a\cdot {{2}^{x}} > b\cdot {{2}^{x}}\)
            • 9. 设\(y_{1}=4^{0.9}\),\(y_{2}=8^{0.48}\),\(y_{3}=( \dfrac {1}{2})^{-1.5}\),则\((\)  \()\)
              A.\(y_{3} > y_{1} > y_{2}\)
              B.\(y_{2} > y_{1} > y_{3}\)
              C.\(y_{1} > y_{2} > y_{3}\)
              D.\(y_{1} > y_{3} > y_{2}\)
            • 10.
              已知命题\(p\):函数\(y=a^{x+1}\)的图象恒过定点\((0,1)\);命题\(q\):若函数\(y=f(x)\)为偶函数,则函数\(y=f(x+1)\)的图象关于直线\(x=1\)对称,则下列命题为真命题的是\((\)  \()\)
              A.\(p∨q\)
              B.\(p∧q\)
              C.\(¬p∧q\)
              D.\(p∨¬q\)
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