ab=ac AD⊥bd ae⊥ce ad=ae 说明ob=oc

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ab=ac AD⊥bd ae⊥ce ad=ae 说明ob=oc
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ab=ac AD⊥bd ae⊥ce ad=ae 说明ob=oc
ab=ac AD⊥bd ae⊥ce ad=ae 说明ob=oc

ab=ac AD⊥bd ae⊥ce ad=ae 说明ob=oc
AD⊥bd ae⊥ce
所以△ADB,△AEC均为RT△
在RT△ADB,RT△AEC中
AB=AC,
AD=AE
所以RT△ADB≌RT△AEC(HL)
∠ABD=∠ACE
AB=AC,所以∠ABC=∠ACB
∠ABC-∠ABD=∠ACB-∠ACE
∠OBC=∠OCB
OB=OC