This question is actually very simple. △OAB is an equilateral triangle with a side length of 1, and the height on the side of AB is √3/2. Since the modulus of vector OC is √3, when vector OC=OA+OB (parallelogram rule), its modulus is √3, at this time λ = 1, μ = 65438. The vector OC is decomposed into the sum of OA and OB by vector method, and then the relationship between λ and μ is established, and then the maximum value is obtained. This will require a lot of calculation, so it is not used here.