过点o(0,0) p(1,1) q(-2,1)求圆的方程,请写
问题描述:
过点o(0,0) p(1,1) q(-2,1)求圆的方程,请写
答
设圆方程为:
(x-a)^2+(y-b)^2=r^2
过 O,P,Q点,代入:
a^2+b^2=r^2--------------------(1)
(1-a)^2+(1-b)^2=r^2-----------(2)
(-2-a)^2+(1-b)^2=r^2----------(3)
(2)-(3) => a=-1/2
(2)-(1) => b=3/2
=> r^2=5/2
所以,圆方程:(x+1/2)^2+(y-3/2)^2=5/2