f(x)=(√3/2)sin2x+(1/2)cos2x+(√3/2)sin2x-(1/2)cos2x+cos2x+1
=√3sin2x+cos2x+1
=2sin(2x+π/6)+1
周期T=2π/2=π
对称轴:2x+π/6=π/2+kπ,得对称轴为:x=-π/6+kπ/2,k∈Z
对称中心:2x+π/6=kπ,得对称中心为:(-π/12+kπ/2,0),k∈Z
单调增区间:
-π/2+2kπ
f(x)=(√3/2)sin2x+(1/2)cos2x+(√3/2)sin2x-(1/2)cos2x+cos2x+1
=√3sin2x+cos2x+1
=2sin(2x+π/6)+1
周期T=2π/2=π
对称轴:2x+π/6=π/2+kπ,得对称轴为:x=-π/6+kπ/2,k∈Z
对称中心:2x+π/6=kπ,得对称中心为:(-π/12+kπ/2,0),k∈Z
单调增区间:
-π/2+2kπ