对于复杂的几何问题,用几何方法发现这些结论往往是比较困难的.本文以一道全国初中数学竞赛试题为例,以数解形探寻结论,然后借助于图形的旋转变换,对这道试题进行变式探究,供大家学习参考.一、试题及解答例1(2006年全国初中数学竞赛(浙江赛区)初赛试题)如图1,正方形ABCD和正方形CGEF的边长分别是2和3,且点B,C,G在同一直线上,M是线段AE的中点,连结MF,则 For complex geometric problems, it is often difficult to find these conclusions by using geometric methods.This paper takes a national junior high school mathematics competition as an example to explore the conclusion with numerical solution, and then makes use of the rotation of the graph to change the question First, the test questions and answers Example 1 (2006 junior high school math competition (Zhejiang Division) Preliminary Test) As shown in Figure 1, the side length of the square ABCD and square CGEF are 2 and 3, and the point B , C, G in the same straight line, M is the midpoint of the line segment AE, the link MF