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本文从三个方面谈谈动态几何问题的解题思路.一、动点问题动点问题是探索某个几何图形上,一个或几个点在运动变化过程中形成的数量关系、图形状态、图形之间的特殊关系等.解决此类问题,须关注点的运动方向、范围和速度,以便确定是否需要分类讨论.例1(2009年丽水市中考试题)已知直角坐标系中,菱形ABCD的位置如图1,C、D两点的坐标分别为(4,0),(0,3),线段BE是菱形的高.现在有两个动点P,Q分别从A,C同时出发,点P沿线段AD向终点D运动,点Q沿
This article from three aspects to talk about the dynamic geometry problem solving ideas.First, the moving point problem The moving point problem is to explore a geometric figure, one or several points in the process of changing the number of the formation of the relationship between the graphics state, graphics Etc. In order to solve such problems, attention should be paid to the direction, scope and speed of the movement of the points in order to determine whether the need for classification discussion.Example 1 (2009 Lishui middle school examination questions) known rectangular coordinate system, the diamond ABCD The position is shown in Fig. 1, the coordinates of the two points C and D are respectively (4,0), (0,3), and the line segment BE is rhombus height. Now two moving points P and Q start from A and C, Point P along the segment AD to the end point D movement, point Q along