3.
\((1)\)若抛物线\({{y}^{2}}=8x\)上的点\(M\)到焦点的距离为\(10\),则\(M\)到\(y\)轴的距离是___________.
\((2)\)已知直线\({{l}_{1}}:x+\sin \alpha \cdot y-1=0\)和\({{l}_{2}}:\dfrac{1}{2}\sin \alpha \cdot x+\cos \alpha \cdot y+1=0\),其中\(\alpha \in [0,\pi )\),若\({{l}_{1}}\bot {{l}_{2}}\),则\(\alpha =\)_____________.
\((3)\)已知函数\(f(x)\)是定义在\(R\)上的奇函数,且当\(x > 0\)时,\(f(x)=-{{x}^{2}}+ax-1-a\),若函数\(f(x)\)在\(R\)上是单调减函数,则\(a\)的取值范围是_____________.
\((4)\)如图,在直三棱柱\(ABC-{{A}_{1}}{{B}_{1}}{{C}_{1}}\)中,底面为直角三角形,\(∠ACB={90}^{0}\;,\;AC=6\;,\; BC=C{{C}_{1}}=\sqrt{2}\),\(P\)是\(B{{C}_{1}}\)上一动点,则\(CP+P{{A}_{1}}\)的最小值是___________.