如图,AB⊥AC,AD⊥AE,AB=AC,AD=AE,求证:(1)△DAC≌△EAB;(2)BE⊥CD. ,の

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如图,AB⊥AC,AD⊥AE,AB=AC,AD=AE,求证:(1)△DAC≌△EAB;(2)BE⊥CD. ,の

如图,AB⊥AC,AD⊥AE,AB=AC,AD=AE,求证:(1)△DAC≌△EAB;(2)BE⊥CD. ,の
如图,AB⊥AC,AD⊥AE,AB=AC,AD=AE,求证:(1)△DAC≌△EAB;(2)BE⊥CD.
 ,の

如图,AB⊥AC,AD⊥AE,AB=AC,AD=AE,求证:(1)△DAC≌△EAB;(2)BE⊥CD. ,の
证明:
∵AB⊥AC,AD⊥AE
∴∠BAC=∠DAE=90
∴∠ADC+∠AMD=90
∵∠EMF=∠AMD
∴∠ADC+∠EMF=90
∵∠BAE=∠BAC+∠CAE,∠CAD=∠DAE+∠CAE
∴∠BAE=∠CAD
∵AB=AC,AD=AE
∴△DAC≌△EAB
∴∠AEB=∠ADC
∴∠BFC=∠AEB+∠EMF=∠ADC+∠EMF=90
∴BE⊥CD