【例】△ABC是一张等腰直角三角形纸板,∠C=90゜。要在这张纸板中剪出一个尽可能大的正方形,有两种剪法(如图1、图2)。比较这两种剪法,哪种剪法所得的正方形面积更大?并说明理由。【分析】这道数学题非常贴近我们的生活。剪法1以直角为基础剪正方形,比较容易;剪法2以斜边为基础剪正方形,难度大一点。但两个正方形的面积看上去非常接近,直观上很难分辨出哪种剪法剪出的 【Example】 △ ABC is an isosceles right triangle cardboard, ∠ C = 90 ゜. To cut a large square in this cardboard, there are two kinds of scissors (Figure 1, Figure 2). Compare the two scissor methods, which scissor the resulting square area larger? And explain the reasons. [Analysis] This math problem is very close to our life. Scissor 1 It is easy to cut a square based on a right angle. Scissor 2 cuts a square based on the hypotenuse, which is more difficult. But the area of ​​the two squares looks very close, it is intuitively difficult to tell which cut method to cut out