∵∠1=∠2,AO=AO,∠ADO=∠AEO=90°
∴△ADO≌△AEO (ASA)
∴AD=AE
又∠BAE=∠EAD,∠ADC=∠AEB=90°
∴△ADC≌△AEB (AAS)
∴AB=AC
又AD=AE
∴BD=CE