A woman heading home from a late-night session with a hairdresser was raped outside Forest Park in Queens early yesterday, police said.

At about 2:55 a.m., the 29-year-old woman was approached from behind by a knife-wielding thug near the intersection of Woodhaven Boulevard and Park Lane South in Woodhaven.

The man put the knife to the woman’s neck, dragged her to some nearby woods and assaulted her, cops said.

The suspect was identified as black, 6-foot-4, with a goatee and braided hair.