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用面积解题在中学训练较少。随着教学改革的深入,导致对学生培养目标的两个转变,要求教育工作者在教学中应把统一性和灵活性结合起来。而灵活性要求能应用学过的知识来解决实际问题。笔者由多年的教学实践体会到:面积方法解题具有直观性、通用性和推理的简洁性,故利用面积方法解题是一种可取的方法。本文试图从几何、代数、三角几个方面来说明如何利用面积法解一些非面积问题。
Using the area to solve problems in secondary school training is less. With the deepening of teaching reforms, it has led to two changes in the students’ training objectives, requiring educators to combine unity and flexibility in teaching. Flexibility requires the application of learned knowledge to solve practical problems. The author has learned from many years of teaching practice that the method of solving area problems has intuitiveness, versatility, and conciseness of reasoning. Therefore, using the area method to solve problems is a desirable method. This article attempts to explain how to use area method to solve some non-area problems from geometric, algebraic and trigonometric aspects.