已知,如图,AB=AC,AD=AE.BD=CE,AC平分DE.求证∠BAD=∠CAD

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已知,如图,AB=AC,AD=AE.BD=CE,AC平分DE.求证∠BAD=∠CAD
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已知,如图,AB=AC,AD=AE.BD=CE,AC平分DE.求证∠BAD=∠CAD
已知,如图,AB=AC,AD=AE.BD=CE,AC平分DE.求证∠BAD=∠CAD

已知,如图,AB=AC,AD=AE.BD=CE,AC平分DE.求证∠BAD=∠CAD
如图.图呢!
由AB=AC,AD=AE.BD=CE可得:三角形ABD和三角形ACE全等,即∠BAC=∠DAE
由已知的AC平分DE得到:=∠DAC=∠CAE
∠BAC=∠BAD+∠DAC
∠DAE=∠DAC+∠CAE=∠DAC+∠DAC
替换∠DAC
得:∠BAD=∠CAD