如图,CD⊥AB,BE⊥AC,垂足分别为D,E,BE,CD相交于点O,OB=OC,求证∠1=∠2

2025-05-07 12:10:48
推荐回答(2个)
回答1:

证:
由题可知,∠BDO = ∠CEO = 90°,
∠BOD = ∠COE(对角),且OB = OC
∴△BOD ≌ △COE(AAS)
∴OD = OE
∵∠ADO = ∠AEO = 90°,DO = EO,AO为公共边,
∴△ADO≌△AEO(HL)
∴∠1 = ∠2

回答2:

先证明dob相似于eoc