一、前言数学猜想是数学中一种重要思想方法,是根据某些已知的事实材料和数学知识,通过观察、比较、归纳、类比等,对未知量及其关系所做出的一种猜测性的推断。牛顿说过:“没有大胆的猜想,就做不出伟大的发现。”美国著名数学家波利亚也说过:“在证明一个数学定理之前,你先得猜测这个定理的内容。在你完全做出详细证明之前,你先得推测证明的思路。你先得把 I. Preface Mathematical conjecture is an important way of thinking in mathematics. It is based on some known factual materials and mathematical knowledge, through observation, comparison, induction, analogy and so on, a guess about the unknowns and their relations Sexual inference. Newton said: ”Without bold conjecture, great discoveries can not be made.“ ”The famous American mathematician Pollia also said:" Before you prove a mathematical theorem, you have to guess the content of this theorem. Before you fully prove that you have to speculate on the idea of ​​proof