优优班--学霸训练营 > 知识点挑题
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            • 1.

              若函数\(y\)\(=\)\(f\)\((\)\(x\)\()\)是函数\(y\)\(=\)\(a^{x}\)\((\)\(a\)\( > 0\),且\(a\)\(\neq 1)\)的反函数,且\(f\)\((2)=1\),则\(f\)\((\)\(x\)\()=\)(    )

              A.\({{\log }_{2}}x\)
              B.\( \dfrac{1}{2^{x}}\)
              C.\({\log }_{ \frac{1}{2}}x \)
              D.\(2\) \({\,\!}^{x}\)\({\,\!}^{-2}\)
            • 2.

              设点\(P\)在曲线\(y=\dfrac{1}{2}{{e}^{x}}\)上,点\(Q\)在曲线\(y=\ln (2x)\)上,则\(|PQ|\)最小值为\((\)    \()\)

              A.\(1-\ln 2\)
              B.\(1+\ln 2\)
              C.\(\sqrt{2}(1-\ln 2)\)
              D.\(\sqrt{2}(1+\ln 2)\)
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