设函数f(x)=sin(wx+φ)+cos(wx+φ)(w>0,|φ|
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设函数f(x)=sin(wx+φ)+cos(wx+φ)(w>0,|φ|
设函数f(x)=sin(wx+φ)+cos(wx+φ)(w>0,|φ|
设函数f(x)=sin(wx+φ)+cos(wx+φ)(w>0,|φ|
析:f(x)=sin(wx+φ)+cos(wx+φ)=√2sin(wx+φ+π/4)
f(-x)=f(x):知f(x)图像关于y轴对称,又w>0,所以,f(x)一定可以化简成f(x)=cos(wx)
这样就必须满足φ+π/4=kπ+π/2.φ=kπ+π/4,又知|φ|<π/2,所以只有φ= π/4
设函数f(x)=sin(wx+φ)+cos(wx+φ)(w>0,|φ|
设函数f(x)=sin(wx+φ)+cos(wx+φ)(w>0,|φ|
设函数f(x)=sin(wx+φ)+cos(wx+φ)(w>0,|φ|
设函数f(x)=sin(wx+φ)+cos(wx+φ)(w>0,|φ|
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设函数f(x)=sin(wx+φ)+cos(wx+φ)(w>0,|φ|
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已知函数f(x)=sin(wx+φ)(w
已知函数f(x)=sin(wx+φ)(w
已知函数f(x)=sin(wx+φ)(w