设函数f(x)=acos²ωx+√(3)乘acos(ωx)sin(ωx)+b(a不等于0,0<ω<2),x=π/6是其函数图像的一条对称轴(1)求ω的值(2)若f(x)的定义域为[-π/3,π/3],值域为[-1,5],求a,b的值.
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![设函数f(x)=acos²ωx+√(3)乘acos(ωx)sin(ωx)+b(a不等于0,0<ω<2),x=π/6是其函数图像的一条对称轴(1)求ω的值(2)若f(x)的定义域为[-π/3,π/3],值域为[-1,5],求a,b的值.](/uploads/image/z/1136075-59-5.jpg?t=%E8%AE%BE%E5%87%BD%E6%95%B0f%28x%29%3Dacos%26%23178%3B%CF%89x%2B%E2%88%9A%283%29%E4%B9%98acos%28%CF%89x%29sin%28%CF%89x%29%2Bb%28a%E4%B8%8D%E7%AD%89%E4%BA%8E0%2C0%EF%BC%9C%CF%89%EF%BC%9C2%29%2Cx%3D%CF%80%2F6%E6%98%AF%E5%85%B6%E5%87%BD%E6%95%B0%E5%9B%BE%E5%83%8F%E7%9A%84%E4%B8%80%E6%9D%A1%E5%AF%B9%E7%A7%B0%E8%BD%B4%281%29%E6%B1%82%CF%89%E7%9A%84%E5%80%BC%282%29%E8%8B%A5f%28x%29%E7%9A%84%E5%AE%9A%E4%B9%89%E5%9F%9F%E4%B8%BA%5B-%CF%80%2F3%2C%CF%80%2F3%5D%2C%E5%80%BC%E5%9F%9F%E4%B8%BA%5B-1%2C5%5D%2C%E6%B1%82a%2Cb%E7%9A%84%E5%80%BC.)
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