给出一个边长是1的正方形,它的对角线长是无理数2(1/2),这似乎大家都知道。如果问一个为什么,估计大多数人会用勾股定理来证明。其实,在古希腊,毕达哥拉斯学派认为世界上的数只有整数和整数的比,也就是他们只承认有理数。尽管发现了勾股定理,但是他们并不知道,边长是1的正方形,它的对角线长是不能用有理数表示的。这可是一个重大矛 Given a square with a side length of 1, its diagonal length is an irrational number 2 (1/2), which seems to be known to all. If you ask one why, it is estimated that most people will use the Pythagorean theorem to prove. In fact, in ancient Greece, the Pythagoreans believe that the number of the world only integer and integer ratio, that is, they only admit rational numbers. Although they found the Pythagorean theorem, they did not know that the side length is a square of 1, and its diagonal length can not be expressed in rational numbers. This is a major spear