过圆x2+y2-x+y-2=0和x2+y2=5的交点,且圆心在直线3x+4y-1=0上的圆的方程为______.
人气:460 ℃ 时间:2019-08-21 09:55:29
解答
设所求圆的方程为x2+y2-x+y-2+λ(x2+y2-5)=0(λ≠-1),即整理可得 x2+y2−2(1−λ)1+λx+2(5+λ)1+λy−8(3+λ)1+λ=0x2+y2−11+λx+11+λy−2+5λ1+λ=0,所以可知圆心坐标为 (12(1+λ),−12(1+λ)),因为圆...
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