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1问题的提出人们日常生活中经常遇到或用到长方形,对长方形十分熟悉,但对长方形所引申出来的一些问题,并不一定进行过深入的思考.如是否存在整边长方形,以其对角线为边长的正方形面积恰是长方形面积的整数倍,且该长方形总可以割并成两个整边正方形?若存在,有多少个这样的长方形?以其对角线为边长的正方形面积是长方形面积的多少倍?类似
1 raised the issue People often encounter or use rectangular in daily life, very familiar with the rectangle, but some of the problems derived from the rectangle does not necessarily have in-depth thinking, such as the existence of a rectangular edge, with its right The area of the square whose side is the length of the line is exactly an integral multiple of the area of the rectangle, and the rectangle can always be cut into two square squares. If so, how many of these rectangles? A square with its diagonal How many times the area is the rectangular area?