a²-b²=√3bc sinC=2√3sinB→2R*sinC=2R*2√3sinB→c=2√3b→c²=2√3bc cosA=(b²+c²-a²)/(2bc) =(c²-(a²-b²))/(2bc) =(2√3bc-√3bc)/(2bc) =√3/2 所以A=π/6
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