求到两定点A(1,2,3)和B(2,-1,4)等距离的点的轨迹方程
问题描述:
求到两定点A(1,2,3)和B(2,-1,4)等距离的点的轨迹方程
答
(x-1)²+(y-2)²+(z-3)²=(x-2)²+(y+1)²+(z-4)²x²-2x+1+y²-4y+4+z²-6z+9=x²-4x+4+y²+2y+1+z²-8z+162x-6y+2z=7