【例题】有一个正方形(如图1),它的面积是8平方米,这个正方形内切一个最大的圆,这个最大的圆面积是多少米?【分析与解】按常规的计算方法思考,要求正方形内切圆的面积,需要先求出圆的半径。而正方形内最大圆的直径等于正方形的边长,因为正方形面积是8平方米,8是由哪两个相等的数相乘得到的呢?在小学数学中无法解决。但如果我们另辟蹊径转换思路,问题就可以化难为易。 【Example】 There is a square (Figure 1), which is an area of ​​8 square meters, the square cut a circle, the largest circular area is how many meters? [Analysis and solution] According to the conventional calculation method of thinking, Requires square inscribed circle area, you need to find the radius of the circle. The diameter of the largest circle in the square is equal to the length of the square. Because the area of ​​the square is 8 square meters, which of the two equal numbers 8 is multiplied, can not be solved in elementary mathematics. But if we find another way to change our thinking, the problem can be solved easily.