求与点P1(3,-1,2)和点P2(5,0,-1)的距离都相等的动点轨迹方程.
设动点为P(x,y,z) ∵∣PP1∣=∣PP2∣ ∴√(x-3)2+(y+1)2+(z-2)2=√(x-5)2+(y-0)2+(z+1)2 化简后得,所求轨迹方程为:2x+y-3z-6=0.
求与点P1(3,-1,2)和点P2(5,0,-1)的距离都相等的动点轨迹方程.
设动点为P(x,y,z) ∵∣PP1∣=∣PP2∣ ∴√(x-3)2+(y+1)2+(z-2)2=√(x-5)2+(y-0)2+(z+1)2 化简后得,所求轨迹方程为:2x+y-3z-6=0.