已知f(x)=sin(wx+π/3)(w>o),f(6/π)=f(3/π),且f(x)在区间(π/6,π/3)有最小值,无最大值,则w=?

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已知f(x)=sin(wx+π/3)(w>o),f(6/π)=f(3/π),且f(x)在区间(π/6,π/3)有最小值,无最大值,则w=?

已知f(x)=sin(wx+π/3)(w>o),f(6/π)=f(3/π),且f(x)在区间(π/6,π/3)有最小值,无最大值,则w=?
已知f(x)=sin(wx+π/3)(w>o),f(6/π)=f(3/π),且f(x)在区间(π/6,π/3)有最小值,无最大值,则w=?

已知f(x)=sin(wx+π/3)(w>o),f(6/π)=f(3/π),且f(x)在区间(π/6,π/3)有最小值,无最大值,则w=?
f(6/π)=f(3/π),所以函数关于4/π对称.且f(x)在区间(π/6,π/3)有最小值 所以X=4/π是对应着最小值.f(x)=sin(wπ/4+π/3)=-1 wπ/4+π/3=-π/2+2Kπ K=1 w>o W=22/3