数学是思维的体操和工具,是进行思维训练的载体。中学数学对学生各种能力的培养,其核心是对学生进行思维能力的培养。笔者在教学实践中体会到,充分挖掘课本例题的拓展结论及其应用,是培养学生诸多思维能力的重要手段。下面结合初中几何第三册第94页例题2的教学,谈谈笔者是怎样做的。一、深入分析,找到结论。例题:如图一,AD 是△ABC 的高,AE 是△ABC 的外接圆的直径。求证:AB·AC=AE·AD Mathematics is the gymnastics and tools of thinking, is the carrier of thinking training. High school mathematics students ability training, the core is to train students’ thinking ability. The author realizes in the teaching practice that fully excavating the expanded conclusion of the textbook example and its application is an important means of cultivating many students’ thinking ability. The following combination of junior high school geometry Volume III page 94 of Example 2 teaching, talk about how the author is doing. First, in-depth analysis, find the conclusion. Example: As shown in Figure 1, AD is △ ABC high, AE is the diameter of △ ABC circumcircle. Prove: AB · AC = AE · AD