过点M(6,-1)作倾斜角为π/3的直线与圆x^2+y^2=36的两个交点到点M的距离的和与积

过点M(6,-1)作倾斜角为π/3的直线的参数方程为x=6+tcosπ/3=6+t/2y=-1+tsinπ/3=-1+√3t/2把直线的参数方程带入圆的方程得(6+t/2)^2+(-1+√3t/2)^2=36化简,得t^2+(6-√3)t+1=0两个交点到点M的距离的和=|t1-t2|根据韦...