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在解题过程中，若能类比万能公式的结构，可使一些非三角问题巧妙获解．1求函数的单调区间例1函数f（X）=的单调增区间是（1997年第八届“希望杯”高二培训题）解由函数的结构特征，可类比万能公式．设x=，则原函数可看成是y=sin2a与a=arctgx复合而成的．当ZaE【一三，三」即xE
In the process of solving the problem, if we can analogize the structure of the universal formula, some non-triangular problems can be solved ingeniously. 1 Find the monotonic interval of the function Example 1 The monotonically increasing interval of the function f(X) = (The eighth “Hope Cup” training question in 1997) The structural features of the solution function can be compared to the universal formula. Let x=, the original function can be seen as a composite of y=sin2a and a=arctgx. When ZaE [One Three, Three] is xE