2022年圆教学设计优质课 .pdf

24.1.1 圆教学设计一、教材分析教材的地位和作用圆是在学习了直线图形的有关性质的基础上来研究的一种特殊的曲线图形。它是常见的几何图形之一，在初中数学中占有重要地位，中考中分值占有一定比例，与其它知识的综合性较强。本节课的内容是对已学过的旋转及轴对称等知识的巩固，也为本章即将要探究的圆的性质、圆与其它图形的位置关系、数量关系等知识打下坚实的基础。二、学情分析九年级学生在过去的生活和学习中对圆的知识已经有了一些认识，初步体会到圆在生活、工农业生产、交通运输、土木建筑等方面均广泛存在，这对进一步探究圆的定义及相关性质奠定了一定的基础。但对圆的相关性质掌握较少，对知识的转化能力较差，所以重在要学生参与，主动探究，增加解决实际问题的能力。三、教法、学法分析 1教法分析：新课标指出：要“在掌握基础知识的同时，感受数学的意义”，提出了“重视从学生的生活经验和已有的知识中学习数学、理解数学”，使学生感受到数学就在我们身边，我采用迁移法，通过观看老师制作的关于圆的图片，把学生的思维带进有圆存在的地方，充分调动学生已有的知识，再用“引导法”与导学案相结合，让学生学习圆的定义及相关知识。2学法分析：充分利用学案，引导学生采用动手操作、自主探究、合作交流等学习方法进行学习，充分发挥学生的主体作用，使知识和能力得到内化。教学目标知识和能力探索圆的两种定义，理解并掌握弧、弦、优弧、劣弧、半圆等基本概念，能够从图形中识别过程和方法体会圆的不同定义方法，感受圆和实际生活的联系培养学生把实际问题转化为数学问题的能力情感态度价值观在解决问题过程中使学生体会数学知识在生活中的普遍性教学重点圆的两种定义的探索，能够解释一些生活问题教学难点圆的两种定义方法教学准备教师多媒体课件学生问题与情境师生行为设计意图活动一：情景引入古希腊的数学家毕达哥拉斯认为：一切平面图形中最美的是圆.观察下列物体，他们都给我们什么图形的形象？你还能举出一些生活中常见的例子吗？活动二：动手操作探究：你能用哪些方法画出一个圆来？如：用圆规、用绳子一端固定，另一端固定在笔上等。（若学生绕圆形物品边画圆，可在学了圆心、半径后让其探究如何找圆心）探究：（1）观察画圆的过程，你能由此说出圆的形成过程吗？rA o师生共同欣赏，具有圆的形象物体美的同时，让学生再举出 一 些生活中常见的例子.提出问题：你能用数学知识解释生活中这些物体做成圆形的道理吗？师：通过本节课的学习，相信同学们都会解释.学生动手尝试小组进行交流总结演示小组的画法.教师巡视指导，与学生进行交流.学生演示教师给予评价表扬.学生观察画圆的过程，用文字语言叙述出来.在一个平面内，线段绕它的固定的一个端点旋转一周，另一个端点形成的图形叫做圆。固定的端点叫做圆心，线段叫做半径.以点 O 为圆心的圆，记作O,读作“圆O”.使学生感受圆在生活中的应用，并给人们带来了美的感受，提出能否用数学知识解释生活中物品做成圆形的道理，激发学生的探究欲望，并引出课题.学生通过动手尝试画圆，培养学生动手动脑的习惯，同时通过画圆使学生经历圆的形成过程，在操作中感受定点与动点的关系，进一步认识圆.培养学生的数学语言表达能力，探究观察出圆上点的特点，加深对圆的认识.问题与情境师生行为设计意图文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 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ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6如如何用符号表示圆？（2）圆上点有什么特点？（3）圆将平面分成几部分？活动三：实际应用你现在能解释车轮、光盘等物体做成圆形的数学道理吗？活动四：自学自学与圆有关的概念弦、直径、弧、半圆的概念及如何用几何符号表示.内容：课本85 页要求：画圆，在圆上作直径、优弧、劣弧、半圆，活动五：应用1.课本 86 页练习第2 题.2.试证明直径是圆中最大的弦.3.求证：矩形的四个顶点在以对角线交点为圆心的同一个圆上.OD C B A 活动六：课堂小结本节课你的收获是什么？布置作业P86 练习第 1、2 题.教师引导学生观察总结：圆上各点到定点的距离都等于定长到定点的距离等于定长的点都在同一个圆上.师：用不同颜色的粉笔描出圆、圆的内部、圆的外部.助于学生发现分成的三部分.学生回答坐车的人会感觉平稳，进一步回答为什么平稳？学生自学，动手画图并表示.教师巡视，发现个别问题进行指导，多数学生存在的问题记录进行讲解.学生独立做练习。对个别学生进行辅导.引导学生画图，书写已知、求证.讨论交流证明方法.学生反思学习的过程，教师认 真 听 取 学 生 的 认 识 和 感受，及时进行总结、鼓励表扬.学生独立完成使学生明白圆与实际物体的圆盘的区别.学生能够运用所学数学知识解决实际问题，体验知识应用的成就感，更加激发学生的学习兴趣.学生边看书边动手画图，并用符号表示，有助于学生对弦、直径、弧、半圆概念的理解和落实.学生了解课外知识，加深对所学知识的理解运用.拓展学生知识面，增加学生兴趣。为学生提供自我提高的机会，使不同层次学生都有不同收获.巩固所学知识.板书设计文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 ZF5H8L7H9A6文档编码:CQ6W2V1J10G6 HR3E7X3G9N8 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