\((1)\)求过点\((2,3)\)且在\(x\)轴和\(y\)轴截距相等的直线的方程_________________.
\((2)\)已知圆\({{x}^{2}}-4x-4+{{y}^{2}}=0\)上的点\(P(x,y)\),求\({{x}^{2}}+{{y}^{2}}\)的最大值_________________.
\((3)\)已知圆\({{x}^{2}}+{{y}^{2}}=4\)和圆外一点\(P(-2,-3)\),求过点 \(P\) 的圆的切线方程为________________
\((4)\)若\(l\)为一条直线,\(\alpha \),\(\beta \),\(\gamma \)为三个互不重合的平面,给出下面四个命题:\(①\alpha ⊥\gamma \),\(\beta ⊥\gamma \),则\(\alpha ⊥\beta \);\(②\alpha ⊥\gamma \),\(\beta /\!/\gamma \),则\(\alpha ⊥\beta \);\(③l/\!/\alpha \),\(l⊥\beta \),则\(\alpha ⊥\beta .④\)若\(l/\!/\alpha \),则\(l\)平行于\(\alpha \)内的所有直线。其中正确命题的序号是 ______\(.(\)把你认为正确命题的序号都填上\()\)
\((5)\)过点\(P(4,9)\)引圆\({{x}^{2}}+{{y}^{2}}=4\)两条切线\(PA\),\(PB(\)切点为\(A\),\(B)\),则直线\(AB\)方程为_________________