①△AEB≌△ADC;∵AE=AD,∠1=∠2=90°,∠A=∠A,∴△AEC≌△ADC;∴AB=AC,∴BD=CE;②△BED≌△CDE;∵AD=AE,∴∠ADE=∠AED,∵∠ADC=∠AEB,∴∠CDE=∠BED,∴△BED≌△CDE.③∵BD=CE,∠DBO=∠ECO,∠BOD=∠COE,∴△BOD≌△COE.故答案为3.