证明:(I)∵AD?AB=AE?AC,∴ AD AC = AE AB ,又∠A公用,∴△AEB∽△ADC.(II)∵△AEB∽△ADC,∴∠ABE=∠ACD,又∠DOB=∠EOC,∴△BOD∽△COE.∴ BO CO = DO EO .