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            • 1.

              已知\(a={{5}^{{lo}{{{g}}_{2}}3.4}}\),\(b={{5}^{{lo}{{{g}}_{4}}3.6}}\),\(c={{\left( \dfrac{1}{5} \right)}^{{lo}{{{g}}_{3}}0.3}}\),则\((\)   \()\)

              A.\(a > b > c\)
              B.\(b > a > c\)
              C.\(c > a > b\)
              D.\(a > c > b\)
            • 2.

              计算:\(2^{\log }_{2}{}^{3+\log }{}_{4}{}^{3}=\)_______________.

            • 3.

              设\(f(x)=\dfrac{{{9}^{x}}}{{{9}^{x}}+3}\),则\(f(\dfrac{1}{2018})+f(\dfrac{2}{2018})+...+f(\dfrac{2017}{2018})=\)________________;

            • 4.

              已知幂函数\(y=f(x)\)的图像过点\((\dfrac{1}{3},\dfrac{\sqrt{3}}{3})\),则\(\log _{2}f(2)\)的值为____\(.\) 

            • 5.

              计算下列各式的值:

              \((1)1.{5}^{ \frac{1}{3}}×\left(- \dfrac{7}{6}\right)+{8}^{0.25}× \sqrt{{\left( \dfrac{2}{3}\right)}^{ \frac{2}{3}}} \);

              \((2) \dfrac{1}{2}1g \dfrac{32}{49}1g \sqrt{8}+1g \sqrt{245}+{10}^{1g3} \).

            • 6.
              化简求值:
              \((1)2 \sqrt {3}× \sqrt[3]{1.5}× \sqrt[6]{12}× \sqrt {(3-π)^{2}}\);
              \((2)\lg 25+ \dfrac {2}{3}\lg 8+\lg 5\cdot \lg 20+(\lg 2)^{2}\).
            • 7.
              计算:
              \((1)\)计算\(27\;^{ \frac {2}{3}}-2\;^{\log _{2}3}×\log _{2} \dfrac {1}{8}+\log _{2}3×\log _{3}4\);
              \((2)\)已知\(0 < x < 1\),\(x+x^{-1}=3\),求\(x\;^{ \frac {1}{2}}-x\;^{- \frac {1}{2}}\).
            • 8.
              已知实数\(x\)满足\(x+x^{-1}=3\),则\(x^{ \frac {1}{2}}+x^{- \frac {1}{2}}=\) ______ .
            • 9.
              计算下列各式的值:
              \((1)( \dfrac {2}{3})^{-2}+(1- \sqrt {2})^{0}-(3 \dfrac {3}{8})^{ \frac {2}{3}}\);
              \((2) \dfrac {2\lg 2+\lg 3}{1+ \dfrac {1}{2}\lg 0.36+ \dfrac {1}{3}\lg 8}\).
            • 10.
              计算
              \((1)( \dfrac {16}{81})^{- \frac {3}{4}}+\log _{3} \dfrac {5}{4}+\log _{3} \dfrac {4}{5}\)
              \((2)3^{3+\log _{3}2}-5^{1+\log _{5}2}\).
            0/40

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