扩大鱼池问题
- 时间:2020-06-22 16:00:25
- 分类:数学世界
- 阅读:172 次
数学百题之九:扩大鱼池问题:养鱼专业户张强,去年承包了一个叫“金三角”的鱼池(如下图),喜获丰收。为了进一步增产,决定把鱼池扩大。但有这样的要求:

①扩大后的鱼池必须仍是三角形,保持“金三角”鱼池的称号;②扩大后的鱼池面积是原面积的4 倍;③原鱼池的三个角上栽的3 棵大柳树不能移动。你能替张强设计一个施工草图吗?
分析与解:(如下图)所示。

我们只要过三角形的三个顶点,分别作它们所对的边的平行线,两两相交,成一个大三角形,这个大三角形的面积是原三角形面积的4倍。当然还有其他的方法,小朋友们可以再想一想。
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