BE与CD相等!证明：∵∠ABC=∠ACB∴AB=AC∵BE,CD分别是∠ABC,∠ACB的平分线∴∠ABE=∠CBE,∠ACD=∠BCD∴∠ABE=∠CBE=∠ACD=∠BCD在△ABE与△ACD中∵∠ABE=∠ACD ,且AB=AC∴ △ABE=△ACD 【ASA】∴BE=CD