共50条信息
若函数\(f(x)=\dfrac{{{2}^{x}}+1}{{{2}^{x}}-a}(a\in R)\)是奇函数,则使\(f(x) > 4\)成立的\(x\)的取值范围为
若\({{a}^{10}}=\dfrac{1}{2}\),\({{a}^{m}}=\dfrac{\sqrt{2}}{2}\),则\(m=\) .
设等比数列\(\{a_{n}^{{}}\}\)的前\(n\)项和为\(S_{n}^{{}}\),若\(\dfrac{{{S}_{6}}}{{{S}_{3}}}=4,\)则\(\dfrac{{{S}_{9}}}{{{S}_{6}}} =\)( )
已知函数\(f(x)=\begin{cases}{\log }_{3}x,x > 0 \\ {2}^{x},x\leqslant 0\end{cases} \),则\(f(f( \dfrac{1}{9}))= \)
计算:
\((1){{\lg }^{2}}5+\lg 2\cdot \lg 5+\lg 2\) \((2)2\sqrt{3}\times \sqrt[6]{12}\times \sqrt[3]{\dfrac{3}{2}}\)
若函数\(f(x)\)满足\(f(4)=2\),且对于任意正数\({{x}_{1}},{{x}_{2}}\),都有\(f({{x}_{1}}\cdot {{x}_{2}})=f({{x}_{1}})+f({{x}_{2}})\)成立\(.\)则\(f(x)\)可能为
函数\(f(x)={{2}^{x}}+3x-7\)的零点所在的区间是( )
已知\(a=2^{1.3}\) , \(b=4^{0.7}\) , \(c=\ln 6\),则\(a\),\(b\),\(c\)的大小关系为\((\) \()\)
若\(a={{\log }_{4}}3\),则\({{2}^{a}}+{{2}^{-a}}=\)_____.
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