若直线x=kπ/2(k绝对值小于等于1)与函数y=tan(2π+4/π)图像不相交,则k=?

y=tan(2x+π/4)
定义域是
2x+π/4≠π/2+mπ,m∈Z
∴x≠π/8+mπ/2,m∈Z
x=kπ/2∈x=π/8+mπ/2,m∈Z
∴kπ/2=π/8+mπ/2,m∈Z
kπ=π/4+mπ,m∈Z
k=1/4+m,m∈Z
∵|k|