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1、数列求和之错位相减法教学设计教学目标:让学生能够理解错位相减法,并能够应用错位相减法求数列的前 n 项和。教学重点:错位相减法的应用教学难点:错位相减法的计算过程教 学 内 容 : 一、课前复习回顾等比数列前 n 项和的求和公式:设计意图:由于应用错位相减法解题时必定会使用等比数列前 n 项和的通项公式求和,因此有必要做好复习铺垫工作。二、问题探究数列an 的通项公式an= n,数列bn 的通项公式bn= 2n,求数列an bn 的前n项和。设计意图:由具体问题引入课题,引导学生观察题目中所求数列通项的特点,即“等差等比”型。解决方法:展示并叙述“错位相减法”的具体操作步骤,具体如下:由此归纳
2、“错位相减法”核心要领:乘公比,错位,相减。设计意图:整个过程的完整展示,帮助学生建立一个清晰的计算步骤, 以此学会解决此类型的数列求和问题,主要体现设计的实用性。三、当堂练习设计意图:为了巩固复习错位相减法,让学生对不同“长相”,但都属于“等差等比”型题目能熟悉,从而确信并有意识强化学习。四、归纳小结1、首先进行使用“错位相减法”时易出错的 4 点进行归纳强调。2、再整体上对此段的学习进行小结,再次提升设计意图:有学习必有总结。任何一种解题方法都有其使用条件、适用范围,以及易错点等等。学生通过学习,也能自觉感知并总结,由此深化数学解题方法的学习。五、作业布置设计意图:课下练习,进一步巩固掌握
3、“错位相减法”“”“”At the end, Xiao Bian gives you a passage. Minand once said, people who learn to learn are very happy people. In every wonderful life, learning is an eternal theme. As a professional clerical and teaching position, I understand the importance of continuous learning, life is diligent, noth
4、ing can be gained, only continuous learning can achieve better self. Only by constantly learning and mastering the latest relevant knowledge, can employees from all walks of life keep up with the pace of enterprise development and innovate to meet the needs of the market. This document is also edited by my studio professionals, there may be errors in the document, if there are errors, please correct, thank you!