证明：∵AB=AE∴∠ABE=∠AEB∴四边形ABCD是菱形∴∠ABE=2∠ABM（菱形对角线平分对角）     BC//AD∴∠EAD=∠AEB=∠ABE∵∠EAD=2∠BAE∴∠ABM=∠BAE∴AM=BM∵∠BME=∠ABM+∠BAE=2∠BAE=∠AEB∴BM=BE∴...