如图,AB=AC,AE=AF,AF⊥EC于E,AF⊥FB于F.求证∠1=∠2.

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如图,AB=AC,AE=AF,AF⊥EC于E,AF⊥FB于F.求证∠1=∠2.

如图,AB=AC,AE=AF,AF⊥EC于E,AF⊥FB于F.求证∠1=∠2.
如图,AB=AC,AE=AF,AF⊥EC于E,AF⊥FB于F.求证∠1=∠2.

如图,AB=AC,AE=AF,AF⊥EC于E,AF⊥FB于F.求证∠1=∠2.
是∠AEC=∠AFB吧.
因为AF⊥EC于E,AF⊥FB于F
所以∠AEC=∠AFB
在△AEC与△AFB中
AB=AC
∠AEC=∠AFB
∠AEC=∠AFB
所以△AEC≌△AFB
所以∠EAC=∠FAB
所以∠EAC-∠BAC=∠FAB-∠BAC
所以 ∠1=∠2

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