已知函数f(x)=A(sin(wx+φ))^2(A>0,w>0,0

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已知函数f(x)=A(sin(wx+φ))^2(A>0,w>0,0
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已知函数f(x)=A(sin(wx+φ))^2(A>0,w>0,0
已知函数f(x)=A(sin(wx+φ))^2(A>0,w>0,0

已知函数f(x)=A(sin(wx+φ))^2(A>0,w>0,0
f(x)=A(sin(wx+φ))^2=-(A/2)cos(2wx+2φ)-1因为y=f(x)的最大值为2,A>0
所以cos(2wx+2φ)=-1,A=6,图像相邻两对称轴间的距离为2周期为4,w>0,w
=π/4,
过点（1,2）,所以f(1)=A(sin(w+φ))^2=-(A/2)cos(2w+2φ)-1=2,所以
cos(2w+2φ)=-1,0

（1）φ=∏/4;
（2）0

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