匀股定理中的数学思想

• 作 者: 孟坤
• 出 处: 中学生数理化(初中版)
• 发表日期: 2006年10期
• 关键词: 折痕 直角边 相似三角形 总结概括 平分线 探究过程 平面图形 解折叠 二时 平方关系

数学思想是数学的“灵魂”,总结概括数学思想有利于透彻地理解所学知识,提高独立分析问题和解决问题的能力,现把与勾股定理有关的数学思想总结如下：一、方程思想例1如图1．有一张直角三角形纸片ABC,两直角边AC=5 cm,BC=10cm,将△ABC折叠,使点B与点A重合,折痕为DE,则CD的长为( )。

Mathematical thinking is the “soul” of mathematics. The summarization and generalization of mathematics ideas is conducive to a thorough understanding of the learned knowledge and the ability to independently analyze problems and solve problems. The mathematical ideas related to the Pythagorean Theorem are summarized as follows: 1. Examples of equations 1 as shown in Figure 1. There is a right-angle triangular piece of paper ABC, two right-angled edges AC = 5 cm, BC = 10cm, △ ABC is folded, so that point B coincides with point A, the fold is DE, then the length of the CD is ().