2022年八年级数学四边形教学设计 .pdf
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1、学习好资料欢迎下载桃江玉潭实验学校初中部教 学 设 计第(11)节学习主题:多边形的内角和与外角和(1)学习目标:1 通过具体情景了解多边形的概念,掌握四边形和多边形的内角和。2 会利用多边形的内角和进行计算。3 通过多边形内角和公式的推导过程,培养学生的发散思维能力,逐步提高推理的能力。4 通过现实中抽象出多边形概念,让学生再次体会数学来源于生活,从而认识到数学的应用价值,提高学习数学的热情。教学重点:多边形的概念,四边形和多边形的内角和难点:多边形内角和公式的推到过程。学习环节学习活动学习方式一 创设情境,导入新课1 三角形的内角和等于多少?(180)2 四边形的内角和等于多少呢?为什么?
2、四边形的内角和等于360o,理由是:连结 AC,则四边形ABCD 被分成了两个三角形,因此四边形的内角和等于一个三角形的内角和的2 倍。即:2 180 o=360 o由此得到:四边形的内角和等于 360o多边形的内角和与外角和(1)(板书课题)二 合作交流,探究新知1 请你说一说什么叫多边形?在平面内,由一些线段首尾顺次相接组成的封闭图形叫做多边形。组成多边形的各条线段叫多边形的边,每相邻两条边的公共端点叫多边形的顶点,连结不相邻两个顶点的线段叫做多边形的对角线,DCBA顶点对角线角边EDCBAEDCBA学习好资料欢迎下载相邻两边组成的角叫多边形的内角。简称多边形的角。说明:我们的课本今后说的
3、多边形都是凸多边形,即:多边形总在一条边所在的直线的同旁。2 五边形的内角和如图,五边形的内角和等于多少呢?(交流讨论)估计学生会想到下面方法:方法 1 连结 AD,AC,则五边形别两条对角线分成了三个三角形,所以五边形的内角和等于3180o=540o归纳:n 边形的内角和等于(n-2)180o三 课堂练习,巩固提高1 P 114 1,2 补充:1 一个多边形的内角和不可能是()A 560oB 1080oC 720oD 1800o2 一个多边形的内角和是2340o,这个多边形是_边形。3 一个多边形的边数增加1,内角和增加多少呢?四 反思小结,拓展提高OEDCBA文档编码:CP10N6H4Z8
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10、H4Z8X7 HG8C6J2N5B4 ZX8P2O1M5H6文档编码:CP10N6H4Z8X7 HG8C6J2N5B4 ZX8P2O1M5H6文档编码:CP10N6H4Z8X7 HG8C6J2N5B4 ZX8P2O1M5H6文档编码:CP10N6H4Z8X7 HG8C6J2N5B4 ZX8P2O1M5H6学习好资料欢迎下载精典作业设计:教学反思:文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5
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13、D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 H
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15、T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10
16、ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7
17、U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5学习好资料欢迎下载桃江玉潭实验学校初中部教 学 设 计第(12 )节学习主题:多边形的内角和与外角和(2)学习目标:1 了解多边形的外角和的概念、掌握多边形的外角和公式。2 了解正多边形的概念。3 了解四边形的不稳定性及生活中的运用。4 通过多边形内角和的探索,让学生体验从特殊到一般的思考方法教学重点与难点:多边形的外角的概念、多边形的外角和公式。难点:多边形外角和公式的推导过程。学习环节学习活动学习方式一 创设情境
18、,导入新课1 如图,AB DE,AC DF,那么 A 与 D 有什么关系?为什么?你能有一句话表达这个结论吗?解:A=D,理由是:设AC 与 DE 交于 C,AB DE,AC DF A=ACD=D 如果一个角的两边和另一个角的两边分别平行,而且开口方向一致,那么这两个角相等。2 四边形的内角和=_,n 边形的内角和=_.3 什么叫三角形的外角?什么叫三角形的外角和?三角形的外角和等于 _.三角形的一边和另一边的延长线组成的角叫三角形的外角,三角形的每一个内角的外角(共三个)的和叫三角形的外交和,三角形的外角和等于180o4 类似地,多边形一边和另一边的反向延长线组成的角叫多边形的外角,在每个顶
19、点处取这个多边形的一个外角,它们的和叫多边形的外角和。5 我们知道多边形每多一条边,多边形的内角和就多180o,外角和多多少度呢?你猜猜看.你的猜想对吗?下面我们来学习多边形的内角和与外角和(2)二 合作交流,探究新知文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P
20、6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10
21、 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M
22、7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y
23、5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:
24、CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B
25、2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2 HT4M4P6T3A10 ZN10M7U4J5Y5文档编码:CI3X4B2D2B2
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