Question

三角形abc中,ac=bc,角acb=90度,bd平分角abc,ae垂直bd于e,问bd与ae大小关系

Answer 1

延长BC交AE的延长线于点F∵∠ACB＝90∴∠CBD+∠CDB＝90,∠ACF＝∠ACB＝90∵AE⊥BD∴∠AEB＝∠FBE＝90∴∠CAF+∠ADE＝90∵∠CDB＝∠ADE∴∠CBD＝∠CAF∵AC＝BC∴△CBD≌△CAF （ASA）∴AF＝BD∵BD平分∠ABC∴∠ABE＝...