∵AC⊥BC
∴∠ACB=∠CAB+∠CBA=90°
∵AC平分∠BAD
BC平分∠ABE
∴∠CAB=1/2∠BAD
∠CBA=1/2∠ABE
∴∠CAB+∠CBA=1/2∠BAD+1/2∠ABE=90°
∴∠BAD+∠ABE=180°
∴AD∥BE(同旁内角互补,两直线平行)
∵AC⊥BC
∴∠ACB=∠CAB+∠CBA=90°
∵AC平分∠BAD
BC平分∠ABE
∴∠CAB=1/2∠BAD
∠CBA=1/2∠ABE
∴∠CAB+∠CBA=1/2∠BAD+1/2∠ABE=90°
∴∠BAD+∠ABE=180°
∴AD∥BE(同旁内角互补,两直线平行)