10.
设全集\(U\)是实数集\(R\),\(M=\left\{x|{x}^{2} > 4\right\} \),\(N=\left\{ x|1 < x < 3 \right\}\),则图中阴影部分所表示的集合是_________.
![](https://www.ebk.net.cn/tikuimages/2/2017/700/shoutiniao65/4481f89859d853e6a280d81b07168283.png)
方程\({{\log }_{2}}\left( {{9}^{x}}-5 \right)=2+{{\log }_{2}}\left( {{3}^{x}}-2 \right)\)的解\(x=\) .
已知\(f(x)\)为偶函数,当\(x\leqslant 0\)时,\(f(x)={{e}^{-x-1}}-x\),则曲线\(y=f(x)\)在点\((1,2)\)处的切线方程式_____________________________.
已知函数\(f\left(x\right)= \dfrac{1}{3}{x}^{3}+{x}^{2}+ax \),若\(g\left(x\right)= \dfrac{1}{{e}^{x}} \),对任意\({x}_{1}∈\left[ \dfrac{1}{2},2\right] \),存在\({x}_{2}∈\left[ \dfrac{1}{2},2\right] \),使\(f{{'}}\left({x}_{1}\right)\leqslant g\left({x}_{2}\right) \)成立,则实数\(a\)的取值范围是 .