作业帮经过圆4x^2+4y^2+3x+y-8=0与圆3x^2+3y^2-2x+4y-10=0的交点且经过原点的圆的方程?
来源：学生作业帮助网 编辑：作业帮 时间：2024/08/08 18:57:41
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经过圆4x^2+4y^2+3x+y-8=0与圆3x^2+3y^2-2x+4y-10=0的交点且经过原点的圆的方程?
经过圆4x^2+4y^2+3x+y-8=0与圆3x^2+3y^2-2x+4y-10=0的交点且经过原点的圆的方程?
经过圆4x^2+4y^2+3x+y-8=0与圆3x^2+3y^2-2x+4y-10=0的交点且经过原点的圆的方程?
设圆系方程：(4x²+4y²+3x+y-8)+λ(3x²+3y²-2x+4y-10)=0
将点（0,0）代入上式,
得 -8+(-10)λ=0
解得 λ=-4/5
所以所求的圆方程：(4x²+4y²+3x+y-8)-4/5 (3x²+3y²-2x+4y-10)=0
整理得：8x²+8y²+23x-11y=0
答案：8x²+8y²+23x-11y=0
经过圆4x^2+4y^2+3x+y-8=0与圆3x^2+3y^2-2x+4y-10=0的交点且经过原点的圆的方程?
经过圆4x²+4y²+3x+y-8=0与圆3x²+3y²-2x+4y-10=0的交点且经过原点的圆的方程是
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