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用质点运动的观点来探究几何图形变化规律的问题称为质点运动型问题。此类问题的显著特点是图形中的质点按某种规律运动,图形中的各个元素在运动变化的过程中互相依存、和谐统一。解决质点运动问题的关键是“动中求静”。在变化中找到不变的性质是解决数学“质点运动”探究题的基本思路,这也是动态几何数学问题中最核心的数学本质。本文就以三角形为载体的质点运动问题的解题方法、关键给以点拨。一、以等腰三角形为载体的质点运动问题例1在图1中,等腰△ABC的底边长为8 cm,
With particle point of view to explore the law of geometric changes in the law known as particle sports problems. The salient feature of such problems is that the particles in the graphic move according to some regular pattern. The elements in the graphic interdependence and harmonize with each other during the change of the movement. The key to solving the particle movement problem is “move in seeking quiet ”. Finding the same nature in the change is the basic idea to solve the math “particle motions ” inquiry, which is also the core mathematical essence of the dynamic geometry math problem. In this paper, the triangle as the carrier particle movement problem solving methods, the key to give pointers. First, the isosceles triangle as the carrier particle motion problems Example 1 In Figure 1, the bottom of the isosceles △ ABC length of 8 cm,