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每年高考中都会考查学生对数学思想的理解和掌握程度,从而考查学生的数学能力。所以下面就高考考查到的四类基本数学思想作一剖析。一、数形结合思想是指把问题的数量关系和空间图形结合起来考查的思想方法。根据解决问题的需要,可以把数量关系的问题转化为图形的性质和特征去研究,或者把图形的性质问题转化为数量关系的问题去研究,从而利用数形的辩证统一和各自的优势尽快地得到解题思路和方法,这对分析问题和解决问题将会产生极大的帮助。这种思想,不仅是一种重要的解题方法,而且也是一种重要的思维方法,是高考解题常用的一种重要思想方法。
Every year in the college entrance examination, students’ understanding and mastery of mathematics thinking are examined to examine students’ mathematical ability. Therefore, we will analyze the four types of basic mathematics thoughts in the college entrance examination. First, the idea of combination of numbers and shapes refers to the way of thinking that combines quantitative relationships and spatial patterns of problems. According to the needs of solving problems, the problem of quantity relations can be transformed into the nature and characteristics of the graph to study, or the problem of the nature of the graph can be transformed into the problem of quantitative relations, so that the dialectical unity of the figures and their respective advantages can be utilized as quickly as possible. Get ideas and methods for problem solving, which will greatly help analyze problems and solve problems. This kind of thinking is not only an important method of solving problems, but also an important way of thinking. It is an important method of thinking that is commonly used in solving college entrance examination questions.