已知向量a=(2cosx,sinx),向量b=(0,√3cosx),f(x)=|向量a+向量b|.(1)求f(π/6)的值.(2)当x∈(0,π/3)时,求f(x)的值域.
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![已知向量a=(2cosx,sinx),向量b=(0,√3cosx),f(x)=|向量a+向量b|.(1)求f(π/6)的值.(2)当x∈(0,π/3)时,求f(x)的值域.](/uploads/image/z/5162244-60-4.jpg?t=%E5%B7%B2%E7%9F%A5%E5%90%91%E9%87%8Fa%3D%EF%BC%882cosx%2Csinx%EF%BC%89%2C%E5%90%91%E9%87%8Fb%3D%EF%BC%880%2C%E2%88%9A3cosx%EF%BC%89%2Cf%28x%29%3D%7C%E5%90%91%E9%87%8Fa%2B%E5%90%91%E9%87%8Fb%7C.%281%29%E6%B1%82f%28%CF%80%2F6%29%E7%9A%84%E5%80%BC.%282%29%E5%BD%93x%E2%88%88%280%2C%CF%80%2F3%29%E6%97%B6%2C%E6%B1%82f%28x%29%E7%9A%84%E5%80%BC%E5%9F%9F.)
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