在《中学生数学》初中版2015年4月下有一道题目是《面积之和的最值》,原题如下:如图,在正方形ABCD内,有五个边长都是整数的不同正方形,且他们的一条对角线都在AC上,且AB长是2015cm,求这五个四边形的面积之和的最大值与最小值.杂志上给出的参考答案主要是运用了结论:两个正数之和一定时,两数的差越大(小), Under the “Junior high school mathematics” junior high school version in April 2015 under a topic is “the sum of the area and the most value”, the original title is as follows: As shown, within the square ABCD, five sides are integer squares, Their diagonal line is on AC, and the length of AB is 2015cm, find the maximum and minimum of the sum of the area of ​​these four quadrilaterals.The answers given in the magazine mainly use the conclusion that two positive numbers The sum of the two, the greater the difference between the two (small)