动态几何函数问题是近年来全国各地中考数学试题中的一类热点考题。这类问题一般是通过一个几何图形上的点运动或两个几何图形的相对运动,从而形成相关联的几何变量(线段长与线段长、时间与面积、路径长与面积等)之间的函数关系,然后利用初中数学已学过的函数知识(正比例函数、反比例函数、一次函数、二次函数)解决运动中的某些问题,如面积最大问题、相似问题、特殊直线和直线形的生 Dynamic geometric function problem in recent years throughout the country in the mathematics test questions in a class of hot questions. This type of problem is generally solved by the relative movement of a point on a geometric figure or two geometric figures to form a function between the associated geometric variables (length of line and length of line, time and area, path length and area, etc.) Then, we can solve some problems in motion by using the function knowledge (normal proportion function, inverse proportion function, first order function, quadratic function) that junior middle school mathematics has learned, such as the problem of maximum area, similarity problem, special straight line and straight line