∠BDA=∠CEA,AE=AD,求证(1)AB=AC（2）BE=CD
问题描述：
∠BDA=∠CEA,AE=AD,求证(1)AB=AC（2）BE=CD
答
证明：（1）∵∠BDA=∠CEA,AE=AD,∠A=∠A∴⊿AEC ≌⊿ABD (AAS)∴AB=AC （2）不知图若E,D分别在AB,AC上∵BE=AB-AE,CD=AC-ADAB=AC,AE=AD∴BE=CD若E,D分别在AB,AC的延长线上∵BE=AE-AB,CD=AD-ACAB=AC,AE=AD∴BE=CD...