已知半径为1的动圆M与圆N;(x-5)^2+(y+7)^2=16相切,球动圆圆心M的轨迹方程.
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已知半径为1的动圆M与圆N;(x-5)^2+(y+7)^2=16相切,球动圆圆心M的轨迹方程.
已知半径为1的动圆M与圆N;(x-5)^2+(y+7)^2=16相切,球动圆圆心M的轨迹方程.
已知半径为1的动圆M与圆N;(x-5)^2+(y+7)^2=16相切,球动圆圆心M的轨迹方程.
(1)内切
设半径为1的圆心为(a,b),
则|√16 -√1|² =(a -5)²+(b+7)²=9
(2)外切
则|√16 +√1|² =(a -5)²+(b+7)²=25