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高考命题是通过数学知识的考查,来反映学生对数学思想方法的理解和掌握程度。这是一种对数学知识在更高层次上的抽象与概括的考查,分类与整合思想、化归与转化思想是每年高考的必考内容,也是考生突破重点、难点题目所必须具备的基本思想方法。下面笔者就列举几例来谈一谈高考试题中蕴涵的这两种数学思想。1分类与整合思想在解某些数学问题时,当被研究的问题包含多种情况时,就必须抓住主导问题发展方向的主要因素,在其变化范围内,根据问题的不同发展方向,划分为
College entrance examination proposition is through the test of mathematical knowledge to reflect the students understanding and mastery of mathematical thinking and methods. This is a higher level of mathematical knowledge on the abstraction and summary of the examination, classification and integration of ideas, conversion and transformation of the annual college entrance examination is the compulsory content, but also candidates to break through the key and difficult issues must have the basic idea method. Here are a few examples of the author to talk about the implication of these two kinds of mathematical thinking college entrance examination questions. 1 Classification and Integration Thoughts When solving certain mathematical problems, when the problems to be studied contain a variety of situations, we must grasp the main factors that lead the development of the dominant problems. Within the scope of the changes, according to the different development directions of the problems, for