Question

已知点P是圆O:x^2+y^2=1上一点,定点A(3,0),一动点M满足向量AM=1/3向量AP,求点M的轨迹

Answer 1

设M(x,y)P(a,b)

x-3=(a-3)/3.1

y=b/3.2

a^2+b^2=1.3

由1式得,x=3a-6.4

把1.4式代入3式,化简,即为M的轨迹