函数f(x)=sin2x+acos2x的图像关于直线x= -pai/8对称,f(x)=Asin(2x+m) A,m是与a有关的常数 A = √(1+aa) 关于x= -pai/8对称,说明当x=-pai/8,函数取得最值 => f(-pai/8)=sin(-pai/4)+acos(-pai/8)=(a-1)/√2 = ±√(1+aa) => aa +
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![函数f(x)=sin2x+acos2x的图像关于直线x= -pai/8对称,f(x)=Asin(2x+m) A,m是与a有关的常数 A = √(1+aa) 关于x= -pai/8对称,说明当x=-pai/8,函数取得最值 => f(-pai/8)=sin(-pai/4)+acos(-pai/8)=(a-1)/√2 = ±√(1+aa) => aa +](/uploads/image/z/11495840-32-0.jpg?t=%E5%87%BD%E6%95%B0f%EF%BC%88x%EF%BC%89%3Dsin2x%2Bacos2x%E7%9A%84%E5%9B%BE%E5%83%8F%E5%85%B3%E4%BA%8E%E7%9B%B4%E7%BA%BFx%3D+-pai%2F8%E5%AF%B9%E7%A7%B0%2Cf%28x%29%3DAsin%282x%2Bm%29+A%2Cm%E6%98%AF%E4%B8%8Ea%E6%9C%89%E5%85%B3%E7%9A%84%E5%B8%B8%E6%95%B0+A+%3D+%E2%88%9A%281%2Baa%29+%E5%85%B3%E4%BA%8Ex%3D+-pai%2F8%E5%AF%B9%E7%A7%B0%2C%E8%AF%B4%E6%98%8E%E5%BD%93x%3D-pai%2F8%2C%E5%87%BD%E6%95%B0%E5%8F%96%E5%BE%97%E6%9C%80%E5%80%BC+%3D%3E+f%28-pai%2F8%29%3Dsin%28-pai%2F4%29%2Bacos%28-pai%2F8%29%3D%28a-1%29%2F%E2%88%9A2+%3D+%C2%B1%E2%88%9A%281%2Baa%29+%3D%3E+aa+%2B)
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