如图,已知AB=AC,AD=AE,BD=CE.试说明：∠BAC=∠DAE

网友回答

证明∵AB=AC,AD=AE,BD=CE
∴ΔBAD≌ΔCAD(三组对边分别相等的三角形全等)
∴∠BAD=∠CAD
∠BAC=∠BAD+∠DAC
=∠CAD+∠DAC
=∠DAE证毕!======以下答案可供参考======
供参考答案1:
∵AB=AC,BD=CE,AD=AE
∴△ABD≌△ACE
∴∠BAD=∠CAE
又∵∠BAC=∠BAD+∠CAD,∠DAE=∠CAE+∠CAD
∴∠BAD=∠DAE
供参考答案2:
∵AB=AC
AD=AEBD=CE∴△ABD≌△ACE
(SSS)∴∠BAD=∠CAE
∴∠BAD+∠DAC=∠DAC+∠ACE
即∠BAC=∠DAE
如图,已知AB=AC,AD=AE,BD=CE.试说明：∠BAC=∠DAE(图1)