二次幂和公式有着悠久的发展历史,笔者在文献[1]、[2]、[3]、[4]中都曾论及这个主题.而受阿基米德求面积或体积的力学方法的启示,我们还可以得到新的推导方法[5].但是,阿基米德本人是如何推导二次幂和公式的?他的方法有什么得与失?对今天的教学有什么启示?上述文献均未触及.本 Second power and formula has a long history of development, the author in the literature [1], [2], [3], [4] have discussed the subject.And by Archimedes seeking area or volume of mechanical methods , We can also get a new derivation method.5 However, how did Archimedes derive the second power and the formula? What is the difference between his method and his teaching? What are the implications for today’s teaching? The literature has not touched