解题是我们掌握数学知识的重要途径,也是进一步学习的方法之一.解题的线索很多、方法很多,一种重要的方法是通过特殊值的代入,为解决问题提供线索.通过特殊值,我们先发现数学结论,获得数学猜想,然后再进行证明.而数学猜想就是依据某些已知事实和数学知识,对未知量及其关系所作出的一种似真推断.学生只有敢于猜想,大胆假设,才能从多层 Problem solving is an important way for us to master mathematics knowledge and also one of the methods for further study. There are many clues to solving problems and many ways. One important method is to provide clues to solve problems through the substitution of special values. By means of special values, We first find mathematical conclusions, obtain mathematical conjecture, and then prove that mathematical conjecture is based on some known facts and mathematical knowledge of unknowns and their relationship made by a plausible inference. Students only have the courage to guess, bold Hypothesis can be from multiple layers