添加的条件可以是AF⊥CE；证明：∵CP平分∠ACD，∴∠ACP=∠PCD．∵AB∥CD，∴∠AEC=∠PCD．∴∠ACE=∠AEC．∵AF⊥CE，∴∠AFC=∠AFE=90°．在△ACF和△AEF中 ∠AFE＝∠AFC ∠ACF＝∠AEF AF＝AF ，∴△ACF≌△AEF（AAS）．
