f(x)=1+sin2x+根号3(1+cos2x)=sin2x+根号3cos2x+1+根号3=2sin(2x+π/3)+1+√3
最小正周期T=2Pai/2=Pai
单调减区间是2kPai+Pai/2<=2x+Pai/3<=2kPai+3Pai/2
即有[kPai+Pai/12,kPai+7Pai/12]
2.
f(A)=2sin(2A+Pai/3)+1+根号3=1+根号3
sin(2A+Pai/3)=0
2A+Pai/3=Pai
A=Pai/3
a^2=b^2+c^2-2bccosA=(b+c)^2-2bc-2bc*1/2
(b+c)^2=4+3*5/3=9
b+c=3
故三角形的周长=2+3=5