优优班--学霸训练营 > 知识点挑题
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            • 1.

              下列各式正确的是(    )

              A.\(\sqrt[4]{{{a}^{4}}}=a\)
              B.\(\sqrt[6]{{{2}^{2}}}=\sqrt[3]{2}\)
              C.\(\lg {{a}^{2}}=2\lg a\)
              D.\(\lg 2\cdot \lg 4=\lg 8\) 
            • 2.

              当\(0 < x\leqslant \dfrac{1}{2}\)时,\(4^{x} < \log _{a}x\),则\(a\)的取值范围是\((\)  \()\)

              A.\((0, \dfrac{ \sqrt{2}}{2})\)                      
              B.\(( \dfrac{ \sqrt{2}}{2},1)\)

              C.\((1, \sqrt{2})\)                              
              D.\(( \sqrt{2},2)\)
            • 3.
              已知集合\(M=\{(x,y)|27^{x}= \dfrac {1}{9}⋅3^{y}\}\),则下列说法正确的是\((\)  \()\)
              A.\((3,5)∈M\)
              B.\((1,5)∈M\)
              C.\((-1,1)∈M\)
              D.\(-1∈M\)
            • 4.

              已知\(a={{1.9}^{0.4}}\),\(b={{\log }_{0.4}}1.9\),\(c={{0.4}^{1.9}}\),则 \((\)  \()\)

              A.\(a > b > c\)
              B.\(b > c > a\)     
              C.\(a > c > b\)
              D.\(c > a > b\)
            • 5. \(3\)、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.\([0,1]\)

            • 6.

              已知定义在\(R\)上的函数\(f\left( x \right)={{2}^{\left| x-m \right|}}-1\left( m\in R \right)\)为偶函数,记\(a=f\left( -2 \right),b=f\left( {{\log }_{2}}5 \right)\),\(c=f(2m),则a,b,c \)的大小关系为

              A.\(a < b < c\)
              B.\(c < a < b\)
              C.\(a < c < b\)
              D.\(c < b < a\)
            • 7.
              已知\(a=0.3^{3}\),\(b=3^{0.3}\),\(c=\log _{0.3}3\),则\(a\),\(b\),\(c\)的大小关系为\((\)  \()\)
              A.\(a < b < c\)
              B.\(c < a < b\)
              C.\(b < a < c\)
              D.\(c < b < a\)
            • 8.
              设\(a=\log _{ \frac {1}{3}}2,b=\log _{ \frac {1}{2}}3,c=( \dfrac {1}{2})^{0.3}\),则\((\)  \()\)
              A.\(a < b < c\)
              B.\(a < c < b\)
              C.\(b < c < a\)
              D.\(b < a < c\)
            • 9.
              下列大小关系,正确的是\((\)  \()\)
              A.\(0.99^{3.3} < 0.99^{4.5}\)
              B.\(\log _{2}0.8 < \log _{3}π\)
              C.\(0.53^{5.2} < 0.35^{5.2}\)
              D.\(1.7^{0.3} < 0.9^{3.1}\)
            • 10.
              设\(a=4^{0.9},b=8^{0.48},c=( \dfrac {1}{2})^{-1.5}\),则\(a\),\(b\),\(c\)的大小顺序为\((\)  \()\)
              A.\(a > b > c\)
              B.\(a > c > b\)
              C.\(b > a > c\)
              D.\(c < a < b\)
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