設(shè)M的坐標(biāo)是(x,y),
|MC|^2=x^2+y^2
r^2=1
設(shè)動點M到圓的切線長為d
d^2=|MC|^2-r^2=x^2+y^2-1
|MQ|^2=(x-2)^2+y^2
當(dāng)d/MQ=1時,d=MQ,即d^2=|MQ|^2
則：x^2+y^2-1=(x-2)^2+y^2
化簡得：4x=5
x=5/4
當(dāng)d/MQ=2時,d=2MQ,即d^2=4|MQ|^2
則：x^2+y^2-1=4[(x-2)^2+y^2]
化簡得：3y^2+3x^2-16x+17=0
(x-8/3)^2+y^2=13/9
終上所述：
當(dāng)d/MQ=1時,點M的軌跡方程是：x=5/4
當(dāng)d/MQ=2時,點M的軌跡方程是：(x-8/3)^2+y^2=13/9