已知函数f(x)＝sin(ωx+π4)

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函数f(x)＝sin(ωx+π4)
======以下答案可供参考======
供参考答案1:
f(x+π/6)=g(x)
sin(w(x+π/6)+π/4)=sin(wx+π/6)
sin(wx+wπ/6+π/4)=sin(wx+π/6)
wπ/6+π/4=π/6
w=(1/6-1/4)*6=-0.5
供参考答案2:
f(x)=sin(wx+π/4)向左平移π/6个单位后得到F(x)=sin[w(x+π/6)+π/4]=sin(wx+wπ/6+π/4)
这个函数与g(x)重合,则wπ/6+π/4=π/6+2kπ,解得w=(2kπ-π/12)6/π=12k-1/2(其中k为整数)
而要使w为正数,则k=1,故w=23/2
我是专业教师,没错的!