在z轴上求一点M,使点M到A(-4,1,7),B(3,5,-2)的距离相等,则点M的坐标为?

M(0,0,a)=>MA=MB =>MA^2=MB^2
=>(-4-0)^2+(1-0)^2+(7-a)^2 = (3-0)^2+(5-0)^2+(-2-a)^2
=> 16+1+49-14a+a^2=9+25+4+4a+a^2
=> 66-14a=38+4a
=> 28=18a =>a=14/9 =>M(0,0,14/9)