1).y=sin2x+mcos2x(m∈r)的图像过点P(0,√3)
√3=sin0+mcos0,m=√3
f(x)=sin2x+√3cos2x
=2(sin2x/2+√3cos2x/2)
=2sin(2x+π/3)
函数的增区间:2kπ-π/2≤2x+π/3≤2kπ+π/2
kπ-5π/12≤x≤kπ+π/12,
2).f(-π/12)=2cosA
2cosA=2sin(-π/6+π/3)=√3
cosA=√3/2,sinA=1/2
a=√3,b=√2
a/sinA=b/sinB
sinB=√2/2,cosB=√2/2
sinC=sin[π-A-B]=sin(A+B)
=sinAcosB+cosAsinB
=(√6+√2)/4
s=absinC/2=(3+√3)/4