已知锐角三角形ABC中的内角A,B,A的对边分别为a,b,c,定义向量m=(sinB,-根号3),n=(cos2B,4cos^2(B/2-2))

m=(sinB,-√3),n=(cos2B,4cos^2(B/2）-2)=（cos2B,2cosB),由m∥n得sinB/cos2B=-√3/(2cosB),∴tan2B=-√3,2B=2π/3,或5π/3,B=π/3或5π/6.b=1,由正弦定理,a=sinA/sinB,c=sinC/sinB,∴S△ABC=(1/2)acsinB=sinAsinC/...