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构造函数是当今高中数学最时尚的解题方法,在各家杂志上常发表文章说明它的应用,但都是直接给出函数式,没有讲为什么,也不讲构造方法.笔者认为这样是不够的,读者是不易掌握的,那么怎样构造函数呢?要了解构造函数的原理,首先应该从函数本身进行思考,函数有很多性质例如值域(最值)、单调性、奇偶性、正负性等,易于与不等式、方程、数列等产生交汇.因此引入函数的目的就是为了利用函数的这些性质,这也就为我们去发现函数、构造函数提供了思考切入点,
Constructor is the most fashionable high school mathematics problem solving methods, often published articles in various magazines illustrate its application, but are given directly functional style, did not say why, do not talk about the construction method. I think this is not enough , The reader is not easy to grasp, then how to construct a function? To understand the principle of the constructor, we should first think from the function itself, the function has many properties such as range (most value), monotonicity, parity, positive and negative And so easy to produce inequalities, equations, sequences, etc. Therefore, the purpose of the introduction of the function is to use these properties of the function, which also provides us with the point of view for finding functions and constructors,