DE=CE+BD
证明:
∵BD⊥DE,CE⊥DE
∴∠ADB=∠AEC=90
∴∠BAD+∠ABD=90
∵∠BAC=90
∴∠BAD+∠CAE=180-∠BAC=90
∴∠ABD=∠CAE
∵AB=AC
∴△ABD≌△ACE
∴DA=CE,BD=AE
∵DE=AD+AE
∴DE=CE+BD
DE=CE+BD
证明:
∵BD⊥DE,CE⊥DE
∴∠ADB=∠AEC=90
∴∠BAD+∠ABD=90
∵∠BAC=90
∴∠BAD+∠CAE=180-∠BAC=90
∴∠ABD=∠CAE
∵AB=AC
∴△ABD≌△ACE
∴DA=CE,BD=AE
∵DE=AD+AE
∴DE=CE+BD