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题目:(2013天津中考题第18题)如图1,将△ABC放在每个小正方形的边长为1的网格中,点A、B、C均落在格点上.若四边形DEFG是△ABC中所能包含的面积最大的正方形,请你在如图所示的网格中,用直尺和三角尺画出该正方形,并简要说明画图方法(不要求证明).本题是在三角形中寻求最大正方形的操作题,难度较大,我们可以把该题分解为以下两个问题:1.怎样的正方形是面积最大的正方形?2.怎样画出这个正方形?图1
Title: (Tianjin 2013 2013 test questions) As shown in Figure 1, △ ABC is placed in each small square grid with a side length of 1, and points A, B and C fall on the grid point. If the quadrilateral DEFG Is the largest square that can be contained in ABC, please draw the square with a ruler and ruler in the grid as shown in the figure, and briefly describe the drawing method (without proof) The triangle to find the largest square of the operation problem, more difficult, we can decompose the problem into the following two questions: 1. What kind of square is the largest square? 2. How to draw the square? Figure 1