一动圆与圆X^2+Y^2+6X+5=0外切 同时与圆X^+Y^2-6X-91=0内切 求圆心的轨迹方程
一动圆与圆X^2+Y^2+6X+5=0外切 同时与圆X^+Y^2-6X-91=0内切 求圆心的轨迹方程
数学人气：559 ℃时间：2020-03-26 05:38:02
优质解答
圆x^2 + y^2 + 6x +5=0,即 (x + 3)^2+ y^2 = 2^2圆x^2 + y^2 - 6x -91=0,即 (x - 3)^2+ y^2 = 10^2设动圆的圆心为O(x,y),据题意,利用动圆心与两个已知圆心的距离关系：√[(x + 3)^2+ y^2] - 2 = 10 - √[(x - 3)^2+ ...
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