設(shè)P點(diǎn)的坐標(biāo)為(x,y)
∵P點(diǎn)到A與B兩點(diǎn)的距離分別是√[(x-5)^2+(y-0)^2],√[(x-2)^2+(y+6)^2]
又P點(diǎn)到A與B兩點(diǎn)的距離相等
∴√[(x-5)^2+(y-0)^2]=√[(x-2)^2+(y+6)^2]
==>(x-5)^2+y^2=(x-2)^2+(y+6)^2
==>6x+12y+11=0
故到A(5.0)和B(2.-6)兩點(diǎn)距離相等的點(diǎn)P的軌跡方程是直線方程6x+12y+11=0.