数学是研究现实世界的数量关系和空间形式的一门科学,它的基本特点是应用的广泛性、抽象性和严密性(即逻辑严密、结论精确).作为一线数学教师我们发现每每问及学生发生错解、漏解的原因时,他们最常说的一句话是“我想不到啊”.培养学生“思维严密性”是高中数学的基本学习目的,也是高考的一个主要考察方向.它体现在各种各样的问题中,比较典型的如“分类讨论”等,它是检验学生“思维严密性”的一个很好的载体.虽然 Mathematics is a science that studies the quantitative relations and spatial forms of the real world, and its basic characteristics are its extensiveness, abstraction and rigor (that is, rigorous logic and precise conclusion) .As a first-line mathematics teacher, we find that when we ask students Misunderstandings, the reasons for the leak, they most often say a sentence is “I can not think of ah.” Students “thinking rigor ” is the basic learning objectives of high school mathematics, but also a major entrance examination direction It is manifested in a variety of issues, such as “class discussion ” and so on, it is to test the students “thinking rigor ” a good carrier .Although