把 x=c 代入双曲线 x2 a2 - y2 b2 =1 可得|y|=|PF2|= b2 a ,Rt△PF1F2中,tan∠PF1F2 = pF2 F1F2 = b2 2ac = b2 2a a2+b2 =tan π 6 = 3 3 ,∴ b a = 2 ,∴渐近线方程为y=± b a x=± 2 x,故答案为 y=±