fx=1/2sin2x-根号3/2cos2x+1=sin2xcosπ/3-cos2xsinπ/3+1=sin(2x-π/3)+1最小正周期=2π÷2=π增区间：2kπ-π/2≤2x-π/3≤2kπ+π/22kπ-π/6≤2x≤2kπ+5π/6kπ-π/12≤x≤kπ+5π/12即【kπ-π/12，kπ+5π/12】
