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关于高一立体几何棱台、圆台体积公式推导一课的教学,为开阔学生的思路,培养学生思维探究的能力,并勾通前后知识间的联系,我有如下一些主要想法和做法。 一、为进而退 广开思路 提出课题后,教师引导学生为进而退,转化矛盾,把台体体积公式的推导归结为求锥体、柱体体积的问题,为学生探究用不同方法去推导台体体积公式提供一个总的遵循,起到“开而弗达”作用。
With regard to the teaching of the derivation of a high-dimensional solid geometry platform and the circular table volume formula, I have the following major ideas and practices in order to broaden the students’ thinking, develop the students’ ability to think and explore, and to link the knowledge before and after. I. In order to move forward and broaden the thinking and propose the topic, the teacher guides the students to retreat and transform the contradictions, and deduce the derivation of the volume formula of the table body as the problem of finding the volume of the cone and cylinder, and use different methods to push the guide for students to explore. The volumetric formula provides a general follow-up and plays the role of “opening the Fuda”.