圆截y轴所得弦长为2,被x轴分弧长之比1比3,圆心到直线2x+y=0距离为五分之根号5,求圆方程
圆截y轴所得弦长为2,被x轴分弧长之比1比3,圆心到直线2x+y=0距离为五分之根号5,求圆方程
数学人气:435 ℃时间:2019-11-12 14:34:23
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设圆心为O(a,b),半径为r,则圆方程为 (x-a)^2+(y-b)^2=r^2圆截y轴的弦长为2,即x=0时,|y1-y2|=2, => (y1-y2)^2=4x=0时,有:a^2+(y-b)^2=r^2 => y^2-2by+a^2+b^2-r^2=0y1+y2=2b, ...
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