如图,已知在△ABC中,点D.E分别在AB、AC上,且AD?AB=AE?AC,CD与BE相交于点O.(I)求证:△AEB∽△ADC

2025-06-22 18:20:18
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回答1:

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