解:弦?$BA$?與弦?$BC$?相等,理由如下:
如圖,連接?$OA,$??$OC.$?
?$∵OA=OB,$??$OB=OC$?
?$∴∠ABO=∠BAO,$??$∠CBO=∠BCO$?
?$∵BO$?平分?$∠ABC$?
?$∴∠ABO=∠CBO$?
?$∴∠BAO=∠BCO$?
在?$△OAB$?和?$△OCB$?中,
?$ {{\begin{cases} { {∠ABO=∠CBO}} \\{∠BAO=∠BCO} \\{OB=OB} \end{cases}}}$?
?$∴△OAB≌△OCB(\mathrm {AAS})$?
?$∴BA=BC ,$?即弦?$BA$?與弦?$BC$?相等