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1．直接构造例1求函数f(x)=(3-sinx)/(2+cosx)的值域．分析由于f(x)=(3-sinx)/(2+cosx)可以看作定点(2,3)与动点(-cosx,sinx)连线的斜率,故f(x)的值域即为斜率的最大、最小值．
1. Direct Construction Example 1 Find the value range of the function f(x) = (3-sinx)/(2+cosx). Since f(x) = (3-sinx)/(2+cosx) can be regarded as the slope of the line connecting the fixed point (2,3) and the moving point (-cosx,sinx), the range of f(x) is The maximum and minimum slope.