1.
在直角坐标系\(xOy\)中,曲线\({{C}_{1}}\)的参数方程为\(\begin{cases} & x=\sqrt{3}\sin \alpha -\cos \alpha \\ & y=3-2\sqrt{3}\sin \alpha \cos \alpha -2{{\cos }^{2}}\alpha \\ \end{cases}(\alpha \)为参数\().\)以坐标原点为极点,以\(x\)轴正半轴为极轴建立极坐标系,曲线\({{C}_{2}}\)的极坐标方程为\(\rho \sin \left( \theta -\dfrac{\pi }{4} \right)=\dfrac{\sqrt{2}}{2}m\).
\((1)\)求曲线\({{C}_{1}}\)的普通方程和曲线\({{C}_{2}}\)的直角坐标方程;
\((2)\)若曲线\({{C}_{1}}\)与曲线\({{C}_{2}}\)有公共点,求实数\(m\)的取值范围.