求圆的中心坐标求通过点A(1.-2.1)B(3.1.7)C(2.0.6)三点的圆的坐标注意是空间坐标

Answer 1

1.分别求AB BC AC 三个线段的中垂面
a,P(x,y,z):|PA|=|PB|
√[(x-1)^2+(y+2)^2+(z-1)^2]=√[(x-3)^2+(y-1)^2+(z-7)^2]
b,Q(x,y,z):|QB|=|QC|
√[(x-3)^2+(y-1)^2+(z-7)^2]=√[(x-2)^2+y^2+(z-6)^2]
c,R(x,y,z):|RA|=|RC|
√[(x-1)^2+(y+2)^2+(z-1)^2]=√[(x-2)^2+y^2+(z-6)^2]
整理的
4x+6y+12z-51=0
2x+2y+ 2z-19=0
2x+4y+10z-32=0
求解三元一次方程组可得圆心坐标
圆心坐标 O (0.0768,0.1184,0.2434)
(计算机求解的,懒得手工求了)