∵AD平分∠BAC,∴∠DAC=∠DAE,∵DE⊥AB,∴∠AED=90°=∠C在RTΔADC与RTΔADE中,∠DAC=∠DAE,AD=AD,∠C=∠AED,∴ΔADC≌ΔADE,∴AC=AE,∵AD=BD,∴∠B=∠BAD,∵AD平分∠BAC,∴∠BAD=∠CAD,∴∠BAD=∠CAD=∠B,∵∠C=90...