ab=ad,ac=ae,∠bad=∠cae,试说明be=cd

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ab=ad,ac=ae,∠bad=∠cae,试说明be=cd

∵∠BAD=∠CAE,
∴∠BAD+∠BAC=∠CAE+∠BAC,
即∠DAC=∠BAE,
∵AD=AB,AC=AE,
∴ΔADC≌ΔABE,
∴BE=CD.