设函数f(x)=a·b,其中向量a=(2cosx,1),b=(cosx,根号3sin2x+m)(1)求函数f(x)的最小正周期和在[0,180°]上的单调递增区间(2)当x属于[0,30度]时,f(x)的最大值为4,求实数m的值
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![设函数f(x)=a·b,其中向量a=(2cosx,1),b=(cosx,根号3sin2x+m)(1)求函数f(x)的最小正周期和在[0,180°]上的单调递增区间(2)当x属于[0,30度]时,f(x)的最大值为4,求实数m的值](/uploads/image/z/3737682-18-2.jpg?t=%E8%AE%BE%E5%87%BD%E6%95%B0f%28x%29%3Da%C2%B7b%2C%E5%85%B6%E4%B8%AD%E5%90%91%E9%87%8Fa%3D%282cosx%2C1%29%2Cb%3D%28cosx%2C%E6%A0%B9%E5%8F%B73sin2x%2Bm%29%EF%BC%881%EF%BC%89%E6%B1%82%E5%87%BD%E6%95%B0f%28x%29%E7%9A%84%E6%9C%80%E5%B0%8F%E6%AD%A3%E5%91%A8%E6%9C%9F%E5%92%8C%E5%9C%A8%5B0%2C180%C2%B0%5D%E4%B8%8A%E7%9A%84%E5%8D%95%E8%B0%83%E9%80%92%E5%A2%9E%E5%8C%BA%E9%97%B4%EF%BC%882%EF%BC%89%E5%BD%93x%E5%B1%9E%E4%BA%8E%5B0%2C30%E5%BA%A6%5D%E6%97%B6%2Cf%28x%29%E7%9A%84%E6%9C%80%E5%A4%A7%E5%80%BC%E4%B8%BA4%2C%E6%B1%82%E5%AE%9E%E6%95%B0m%E7%9A%84%E5%80%BC)
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