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根据课程标准的要求,我们初中教材中,不管是概念的呈现、法则的概括,还是定理的推导,都是建模的过程,这些我们可以认为是知识性建模,而利用这些知识去解决问题,我们可以认为是应用性建模.在应用性建模中,我们又可以分为直接建模与转型建模.下面各举例分析.1直接建模1.1建立方程(组)模型数学是以数量关系和空间形式为主要研究对象的科学,现实生活中广泛存在着数量之间的相等关系,“方程(组)”模型是研究现实世界数量关系的最基本的数学模型,它可以帮
According to the requirements of the curriculum standards, our junior high school textbooks, whether it is the concept of presentation, the generalization of the law, or the derivation of the theorem, are modeling process, which we can think of as knowledge modeling, and the use of knowledge to solve the problem , We can think of as the application of modeling. In the application of modeling, we can be divided into direct modeling and transformation modeling. The following examples are analyzed.1 Direct Modeling 1.1 The establishment of equations (group) model is based on the number of mathematical Relational and spatial forms as the main research object, there is a wide range of equal relationship between quantity and quantity in real life. The “equation (group)” model is the most basic mathematical model for studying the quantitative relationship in the real world, and it can help