∵PR⊥AB,PS⊥AC

∴⊿ARP and ⊿⊿⊿⊿ ASP are right triangles.

PR = PS，AP=AP。

∴⊿ARP≌⊿ASP

∴AS=AR( 1) is correct, ∠RAP=∠SAP.

∫AQ = PQ，

∴∠QAP=∠QPA

∴∠RAP=∠QPA

∴PQ//AP(2) is also correct.