10.
\((1)\)已知直线\(l_{1}:x+my-1=0\),\(l_{2}:2mx+y+1=0\),若\(l_{1}/\!/l_{2}\),则\(m=\)________
\((2)\)设\(x\),\(y\)满足不等式组\(\begin{cases}2x+y-4\geqslant 0 \\ \begin{matrix}x\leqslant 2 \\ y\leqslant 4\end{matrix}\end{cases} \),则\(x^{2}+y^{2}\)的最小值为_______\(\_\)
\((3)\)已知点\(A(−2,0)\),\(B(0,2)\),点\(C\)是圆\(x^{2}+y^{2}−2x=0\)上任意一点,则\(\triangle ABC\)的面积的最大值是________
\((4)\)把一个小球放入如图所示的由\(8\)根长均为\(20 cm\)的铁丝接成的正四棱锥形框架内,使小球的表与\(8\)根铁丝都相切,则小球的半径为___\(\_\)____.