1。解:过点A作AP⊥BE于P、AQ⊥CF于Q∵AB=AC,∠BAC=90∴∠ABC=∠ACB=45∵∠EAB=∠BAC+∠CAE,∠FAC=∠EAF+∠EAC,∠BAC=∠EAF∴∠EAB=∠FAC∵AE=AF∴△ABE≌△ACF (SAS)∴BE=CF