10.
\((1)\)已知满足\(x,y\)不等式组\(\begin{cases} & y\leqslant x \\ & x+y\geqslant 2 \\ & x\leqslant 2 \end{cases}\),则\(z=2x+y\)的最大值为_____________
\((2)\)已知等差数列\(\{{{a}_{n}}\}\)的公差为\(d\),若\({{a}_{1}},{{a}_{2}},{{a}_{3}},{{a}_{4}},{{a}_{5}}\)的方差为\(8\), 则\(d\)的值为__________.
\((3)\)圆心在抛物线\(y=\dfrac{1}{2}{{x}^{2}}(x < 0)\)上,并且和该抛物线的准线及\(y\)轴都相切的圆的标准方程为______.
\((4)\)已知函数\(f(x)=3mx-\dfrac{1}{x}-(3+m)\ln x\),若对任意的\(m\in (4,5),{{x}_{1}},{{x}_{2}}\in [1,3]\),恒有\((a-\ln 3)m-3\ln 3 > \left| f({{x}_{1}})-f({{x}_{2}}) \right|\)成立,则实数\(a\)的取值范围是 __________________