x/2+π/3=2kπ-π/2 x=4kπ-5π/3
x/2+π/3=2kπ+π/2 x=4kπ+π/3
对称轴方程为：x=4kπ-5π/3、x=4kπ-5π/3
x/2+π/3=kπ x=2kπ-2π/3
对称中心为(2kπ-2π/3,0)
以上k为整数.