已知圆(x+4)^2+y^2=25的圆心为M1,圆(x-4)^2+y^2=1的圆心为M2一动圆与两圆外切,求动圆点P的轨

学习时间:2026-04-02 19:29:46 阅读：5726

已知圆(x+4)^2+y^2=25的圆心为M1,圆(x-4)^2+y^2=1的圆心为M2一动圆与两圆外切,求动圆点P的轨迹方程.

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2026-04-02 19:29:46

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x+4)^2+y^2=(r+5)^2=r^2+10r+25(x-4)^2+y^2=(r+1)^2=r^2+2r+116x=8r+242x=r+3r=2x-3圆心轨迹(x-4)^2+y^2=(x-1)^8x^2-8x+16+y^2=8x^2-16x+87x^2-8x-y^2=8