7.
\((1)\)若\(\sin \alpha =-\dfrac{5}{13}\),且\(α\)为第四象限角,则\(\tan α\)的值等于________.
\((2)\)已知\(x\),\(y\)满足约束条件\(\begin{cases} & x-y\leqslant 0, \\ & x+y\geqslant 4, \\ & y\leqslant 4, \\ \end{cases}\)则\(z=2x+3y\)的最大值为________.
\((3)\)已知\(l_{1}\),\(l_{2}\)分别为双曲线\(\dfrac{{{x}^{2}}}{{{a}^{2}}}-\dfrac{{{y}^{2}}}{{{b}^{2}}}=1(a > 0,b > 0)\)的两条渐近线,且右焦点关于\(l_{1}\)的对称点在\(l_{2}\)上,则双曲线的离心率为________.
\((4)\)已知函数\(f(x)\)的定义域为\(R\),直线\(x=1\)和\(x=2\)是曲线\(y=f(x)\)的对称轴,且\(f(0)=1\),则\(f(4)+f(10)=\)________.