7．
\((1)\)已知两条直线\({{l}_{1}}:kx+(1-k)y-3=0\)和\({{l}_{2}}:\left( k-1 \right)x+2y-2=0\)互相垂直，则\(k=\)__________．
\((2)\)如图，已知正方体\(ABCD-{{A}_{1}}{{B}_{1}}{{C}_{1}}{{D}_{1}}\)的棱长为\(2\)，\(M\)、\(N\)分别是棱\(AD\)和\(C{{C}_{1}}\)的中点，则异面直线\({{A}_{1}}M\)与\(BN\)所成角度为_________．
\((3)\)已知二次函数\(f\left( x \right)=a{{x}^{2}}+bx+c\)，任意的\(x\in R\)有\(f\left( 1-x \right)=f\left( 1 \right)+f\left( x \right)\)，若\(f\left( x \right)\)在区间\(\left[ 2m,m+1 \right]\)上不单调，则\(m\)的取值范围为_________________．
\((4)\)已知点\(A\)为圆\(O:{{x}^{2}}+{{y}^{2}}=5\)与圆\(C:{{x}^{2}}+{{(y-2)}^{2}}=1\)在第一象限内的交点，过\(A\)的直线\(l\)被圆\(O\)和圆\(C\)所截得的弦分别为\(NA\)和\(MA(M,N\)不重合\()\)，若\(\left| NA \right|=\left| MA \right|\)，则直线\(l\)的方程为______________\(.\)
