函数y=3tan(ωx+π/6)（ω＞0）的最小周期是π/2,则ω等于

T=π/ω=π/2,所以 ω=2详细点可以不这是公式。如用周期函数的定义，稍微麻烦些。设f(x)=3tan(ωx+π/6)由诱导公式，得3tan(ωx+π/6+π)=3tan(ωx+π/6)3tan[ω(x+π/ω)+π/6]=3tan(ωx+π/6)即f(x+π/ω)=f(x)所以 T=π/ω=π/2， ω=2