优优班--学霸训练营 > 知识点挑题
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            • 1.
              函数\(y=\lg \dfrac {1}{8+2x-x^{2}}\)的单调递减区间是 ______ .
            • 2.
              若函数\(f(x)=\log _{ \frac {1}{2}}(x^{2}-ax+3a)\)在区间\((2,+∞)\)上是减函数,则\(a\)的取值范围为 ______ .
            • 3.
              函数\(y=\log _{2}(5-4x-x^{2})\)的递增区间是 ______ .
            • 4.
              函数\(y=\log _{ \frac {1}{2}}(-x^{2}+2x+3)\)的单调递减区间是 ______ .
            • 5.
              已知函数\(f(x)=\log _{ \frac {1}{2}}(x^{2}-ax-a)\)的值域为\(R\),且\(f(x)\)在\((-3,1- \sqrt {3})\)上是增函数,则\(a\)的取值范围为 ______ .
            • 6.
              函数\(f(x)\)的图象与函数\(g(x)=( \dfrac {1}{2})^{x}\)的图象关于直线\(y=x\)对称,则\(f(2x-x^{2})\)的单调减区间为 ______ .
            • 7.
              已知函数\(y=\log _{ \frac {1}{2}}(x^{2}-1)\)的单调递增区间为 ______ .
            • 8.
              函数\(y=\log _{a}(2x^{2}-3x+1)\),当\(x=3\)时,\(y < 0.\)则该函数的单调递减区间是 ______ .
            • 9.

              若函数\(f\)\((\)\(x\)\()\)同时满足:\(①\)对于定义域上的任意\(x\),恒有\(f\)\((\)\(x\)\()+\)\(f\)\((-\)\(x\)\()=0\);\(②\)对于定义域上的任意\(x\)\({\,\!}_{1}\),\(x\)\({\,\!}_{2}\),当\(x\)\({\,\!}_{1}\neq \)\(x\)\({\,\!}_{2}\)时,恒有\( \dfrac{f(x_{1})-f(x_{2})}{x_{1}-x_{2}} < 0.\)则称函数\(f\)\((\)\(x\)\()\)为“理想函数”\(.\)给出下列三个函数中:\((1)\)\(f\)\((\)\(x\)\()= \dfrac{1}{x}\);\((2)\)\(f\)\((\)\(x\)\()=\)\(x\)\({\,\!}^{2}\);\((3)\)\(f\)\((\)\(x\)\()=\begin{cases}-x^{2},x\geqslant 0, \\ x^{2},x < 0.\end{cases}\)能被称为“理想函数”的有________\((\)填相应的序号\()\).

            • 10.

              已知函数\(y={\log }_{ \frac{1}{2}}\left({x}^{2}-1\right) \)的单调递增区间为_________.

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