以能力立意背景下的高考命题中经常出现类似“f’(x)±kf(x)>0”等条件,这类题目的特点是函数、导数、不等关系融为一体.通常初等数学中方程、函数、不等式要体现等价转化思想的应用,显然,不等关系与单调性联系比较密切,那么,我们不妨采用构造函数方法来处理. Similar conditions such as “f (x) ± kf (x)> 0” are often found in the college entrance examination propositions under the conception of ability conception. Such topics are characterized by functions, derivatives and unequal relations. Equations, functions, and inequalities in mathematics should embody the application of the idea of ​​equivalence transformation. Obviously, the relationship between unequal relations and monotonicities is relatively close, so we may wish to adopt the constructor method to deal with them.