如图,已知Rt△ABC中,∠BAC=90°,AB=AC,P是BC延长线上一点,PE⊥AB交BA延长线于E,PF⊥AC交AC延长线于F.
(1)求证:AEPF是矩形;
(2)D为BC中点,连接DE,DF.求证:DE=DF.
推荐套卷
如图,已知Rt△ABC中,∠BAC=90°,AB=AC,P是BC延长线上一点,PE⊥AB交BA延长线于E,PF⊥AC交AC延长线于F.
(1)求证:AEPF是矩形;
(2)D为BC中点,连接DE,DF.求证:DE=DF.