已知圆M1:(x+4)^2+y^2=25,圆M2:(x-4)^2+y^2=1,一动圆P与这两个圆都外切.(1)求动圆圆心P的轨迹方程(2)设圆M1和圆M2的圆心分别为M1、M2,若过点M2的直线l与(1)所得的轨迹有两个交点A、B,求丨AM1
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![已知圆M1:(x+4)^2+y^2=25,圆M2:(x-4)^2+y^2=1,一动圆P与这两个圆都外切.(1)求动圆圆心P的轨迹方程(2)设圆M1和圆M2的圆心分别为M1、M2,若过点M2的直线l与(1)所得的轨迹有两个交点A、B,求丨AM1](/uploads/image/z/11960688-48-8.jpg?t=%E5%B7%B2%E7%9F%A5%E5%9C%86M1%EF%BC%9A%28x%2B4%29%5E2%2By%5E2%3D25%2C%E5%9C%86M2%EF%BC%9A%28x-4%29%5E2%2By%5E2%3D1%2C%E4%B8%80%E5%8A%A8%E5%9C%86P%E4%B8%8E%E8%BF%99%E4%B8%A4%E4%B8%AA%E5%9C%86%E9%83%BD%E5%A4%96%E5%88%87.%EF%BC%881%EF%BC%89%E6%B1%82%E5%8A%A8%E5%9C%86%E5%9C%86%E5%BF%83P%E7%9A%84%E8%BD%A8%E8%BF%B9%E6%96%B9%E7%A8%8B%EF%BC%882%EF%BC%89%E8%AE%BE%E5%9C%86M1%E5%92%8C%E5%9C%86M2%E7%9A%84%E5%9C%86%E5%BF%83%E5%88%86%E5%88%AB%E4%B8%BAM1%E3%80%81M2%2C%E8%8B%A5%E8%BF%87%E7%82%B9M2%E7%9A%84%E7%9B%B4%E7%BA%BFl%E4%B8%8E%EF%BC%881%EF%BC%89%E6%89%80%E5%BE%97%E7%9A%84%E8%BD%A8%E8%BF%B9%E6%9C%89%E4%B8%A4%E4%B8%AA%E4%BA%A4%E7%82%B9A%E3%80%81B%2C%E6%B1%82%E4%B8%A8AM1)
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