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在解决数学问题时,我们常常采用构造法.在运用构造法解题时,可以针对具体问题构造不同的数学模型,如函数、方程、向量等等,也可以构造图形,如构造立体模型.为增强学生的发散思维能力,在解题方法上加以创新,笔者在教学时发现,有些问题通过构造立体模型来解决,会收到事半功倍的效果.本文在从以下几个方面作出尝试,以便抛砖引玉.
In solving mathematical problems, we often use the construction method.Using the construction method to solve problems, you can construct different mathematical models for specific problems, such as functions, equations, vectors, etc., can also be constructed graphics, such as the construction of three-dimensional model. Enhance students’ divergent thinking ability and make innovations in problem-solving methods, the author found in teaching that some problems are solved by constructing a three-dimensional model and will receive a multiplier effect.This paper attempts to start from the following aspects in order to start a discussion.