a/sinA=b/sinB=c/sinC
cosA=(b^2+c^2-a^2)/(2bc)
2asinA=(2b+c)sinB+(2c+b)sinC
得:cosA=-bc/(2bc)=-1/2
A=120℃
sinB+sinC=2sin((B+C)/2)*cos((B-C)/2)
=2sin30℃cos((B-C)/2)
≤1
a/sinA=b/sinB=c/sinC
cosA=(b^2+c^2-a^2)/(2bc)
2asinA=(2b+c)sinB+(2c+b)sinC
得:cosA=-bc/(2bc)=-1/2
A=120℃
sinB+sinC=2sin((B+C)/2)*cos((B-C)/2)
=2sin30℃cos((B-C)/2)
≤1