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“等比数列的前n项和”是人教A版必修5第二章第5节的内容,教材用数学史上的一个传说故事创设情境,提出计算等比数列的前n项和问题.接着,用错位相减法推导出等比数列的前n项和公式,再来解答情境中的问题,体现了从一般到特殊的方法.这样处理的优点是用历史故事和问题可以激发学生的学习动机,不足的是,创设的情境、提出的问题对公式的推导过程却没有起到作用,尤其是公式推导过程中两边同时乘以q,有点从天而降的感觉,
“The first n items of the geometric series and ” is the content of Chapter 5, Chapter 2, Chapter 5 of the PEP. The teaching material uses a legend in the history of mathematics to create situations and proposes to compute the first n terms and problems in the geometric series Then, using the dislocation subtraction method to derive the first n terms and formulas of the geometric series, and then to solve the problems in the situation, from the general to the special method, the advantage of such treatment is that historical stories and questions can stimulate students’ learning Motivation, lack of is that the creation of the situation, the problem posed on the formula for the derivation of the process but did not play a role, especially in the process of deriving the formula multiplied by q at the same time, a little feeling from heaven,