教材的大多数例习题都具有深刻的知识背景和广泛的应用功能.在教学时,注意挖掘这些潜在的培养因素,有利于激发学生的求知欲,提高学生学习数学的主动性,培养学生的思维素质和创新能力.以下是笔者在教学实践中的一些探索和作法.在学习了三垂线定理以后,如图1,可引导学生分析.既然 AC⊥AB′AC⊥AB.那么在一般情况下,∠CAB 与∠CAB′的关系是怎样 Most of the exercises in the textbooks have a profound knowledge background and a wide range of application functions. When teaching, attention should be paid to mining these potential training factors, which will help stimulate students’ curiosity, improve their initiative in learning mathematics, and cultivate students’ thinking. Quality and innovative ability. The following are some of the explorations and practices of the author in teaching practice. After learning the triple vertical line theorem, as shown in Figure 1, can guide students to analyze. Since AC⊥AB′AC⊥AB, then under normal circumstances What is the relationship between ∠CAB and ∠CAB′?