(1)解:如图所示:(2)证明:∵?ABCD中AD∥BC,∴∠AFB=∠FBC,又∵∠ABF=∠FBC,∴∠ABF=∠AFB,∴AB=AF;(3)解:∵AD∥BC,∴△AEF∽△CEB,当AB=3,BC=5时,∴AF=3,∴ AE EC = AF BC = 3 5 ,∴ AE AC 的值为: 3 8 .