已知A=60° a=2 ,求bc-b²的取值范围
问题描述:
已知A=60° a=2 ,求bc-b²的取值范围
答
a²=b²+c²-2bcCOSA
=b²+c²-bc
bc-b²=c²-a²
c=aSINC/SINA (正弦定理)
=2SINCa/(√3/2)
=(4√3sinC)/3
bc-b²=c²-a²
=(16sin²C)/3-4
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