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动态问题是指以图形为背景,融入运动变化观点的一类问题,主要研究的是图形在运动中所遵循的规律,具体研究的是图形中的位置、数量关系。就运动对象而言,通常可分为三种类型:点动问题、线动问题、面动问题。本文就点动问题中“关于函数图象中动点与面积的最值问题”进行典例分析,希望能对同学们学习这类知识有所启发和帮助。典例分析例1:如图(1),直线y=-x+4与两坐标轴分别相交于A、B点,点M是线段AB上的任意一
The dynamic problem refers to a kind of problem that takes the graphic as the background and incorporates the viewpoint of the change of the movement. The main research is the law that the graph follows in the movement. The specific study is the relationship between the position and the quantity in the graph. In terms of moving objects, usually can be divided into three types: jogging problems, line moving problems, facial movement problems. In this paper, we give a typical case analysis of “the most value problem of moving point and area in the function image” in the jogging problem, hoping to be able to inspire and help the students learn this kind of knowledge. Example Analysis Example 1: As shown in Figure (1), the straight line y = -x + 4 intersects the two coordinate axes respectively at points A and B, and the point M is any one of the segments AB