“大胆猜想,小心求证”是科学研究的基本要求,自然也应成为数学学习的一种方法、一种态度、一种精神.著名物理学家牛顿有句名言:没有大胆的猜想,就不可能有伟大的发明和发现.数学教育家G.波利亚也指出:要成为一个好的数学家,必须首先是一个好的猜想家.纵观数学发展历史,很多著名的数学结论都是从猜想开始的,如哥德巴赫猜想、费马猜想,正是有了成千上万人不倦的探索和大胆的猜想,数学科学才发展为今天壮观的现代数学.对数学问题的猜想,应成为同学们认识、探索数学规律和本质时的思维活动.结论 “Bold conjecture, careful verification ” is the basic requirement of scientific research, of course, should also be a method of learning mathematics, an attitude, a spirit of famous physicist Newton has a famous saying: no bold guess It is impossible to have a great invention and discovery.Margist educator G. Polia also pointed out: To be a good mathematician, must first be a good conjecture.According to the history of mathematics, many well-known mathematical conclusions are From the conjecture, as Goldbach’s conjecture, Fermat conjecture, it is with tens of thousands of tireless exploration and bold conjecture, mathematical science developed into today’s spectacular modern mathematics.Guess the mathematical problems, Should become the students’ thinking and exploration of the regularity and nature of mathematics