共50条信息
函数\(f(x){=}e^{\ln\left| x \right|}{+}\dfrac{1}{x}\)的大致图象为( )
已知\(2\lg (x-2y)=\lg x+\lg y\),则\(\dfrac{x}{y}\)的值为 \((\) \()\)
已知\( \dfrac{1}{\log _{2}a}+ \dfrac{1}{\log _{4}a}=3\),则\(a=\)__________.
已知数列\(\{a_{n}\}\)的通项公式\(a_{n}=\log _{3} \dfrac{n}{n+1}(n∈N^{*})\),设其前\(n\)项和为\(S_{n}\),则使\(S_{n} < -4\)成立的最小自然数\(n\)等于\((\) \()\)
若\(a > b > 1\)且\(2\log _{a}b+3\log _{b}a=7\),则\(a+\dfrac{1}{b^{2}\mathrm{{-}}1}\)的最小值为 \(.\)
已知定义域为\(R\)的偶函数\(f(x)\)在\([0,+∞)\)上是增函数,若实数\(a\)满足\(f(\log _{2}a)+f(\log _{0.5}a)\leqslant 2f(1)\),则实数\(a\)的最小值是 \((\) \()\)
计算:\( \dfrac{\left( \left. 1-\log _{6}3 \right. \right)^{2} +\log _{6}2·\log _{6}18}{\log _{6}4}=\)________.
若\(\sin (π-α)=\log _{8} \dfrac{1}{4}\),且\(α∈\left(\begin{matrix}- \dfrac{π}{2},0 \end{matrix}\right)\),则\(\cos (π+α)\)的值为\((\) \()\)
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