Question

已知动点A.B分别在x轴y轴上,且|AB|=2,点P在线段AB上,向量AP=tPB,求P的轨迹

Answer 1

设P(x,y)

则A((t+1)x,0),B(0,(t+1)y/t)

((t+1)x)^2+((t+1)y/t)^2=4

(t+1)^2x^2+(1+1/t)^2y^2=4