
Re: [中學] 奧林匹克競賽題

: 麻煩各位大大了
∠BAN = 50, ∠B = 80
=> ∠BNA = 50
=> BN = BA
在CN上找一點N'使得∠N'AB = 60
AN'交BM於O
N'M = MO ------(1)
則OB = OA = AB => OB = BN
又∠NBO = 20
=> ∠NOB = 80, ∠ONA = 30
=> ∠N'ON = 40
又∠BN'O = 40
=> NO = NN' ---------(2)
由(1)(2)
=> ∠N'MN = ∠OMN
=> ∠NMB = 60/2 = 30
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