论文部分内容阅读
甄梅出了一道脑筋急转弯题想考考甄里:“在123、234、345和456这四组数中,有哪一组数是与众不同的?”甄里脱口答说:“当然是第三组啦!(3,4,5)是基本勾股数组,谁不知道3~2+4~2=5~2呀!只要两个整数的平方和等于另一个整数的平方,它们就能称为勾股数组。”甄梅乐了。她又问:“为什么勾股数组在国外被称为毕达哥拉斯数组?”甄里最近刚好接触过这个问题,他滔滔不绝地说:“你听说过我国最早的一本数学著作《周髀算经》吗?那里面一开头就讲了周公向商高请教数学的故事,如果把商高所说的《勾三股四弦五》画成图1,那就是我们熟知的直角三角形中的a~2+b~2=c~2,足足比希
In the four questions of 123, 234, 345, and 456, what’s the difference between the four groups?” Miao Li spoke, “Of course, It is the third group! (3,4,5) is the basic Pythagogue array, who does not know 3~2+4~2=5~2! As long as the sum of squares of two integers is equal to the square of another integer, they are It can be called an array of Pythagogues.“ She also asked: ”Why is the Pythagorean array known abroad as the Pythagoras array?“ Saki has recently come into contact with this problem. He has been saying forever: ”You have heard of our earliest book on mathematics." Did you know Zhou Jing’s classics? It told the story of Zhou Gong’s advice on mathematics to Shang Gao. If we say “Hook three shares of four-string fives” by Shang Gao, we will draw it into Figure 1. That is what we know as right triangles. a~2+b~2=c~2, full of bixi