多边形及其内角和第一课时教案数学八年级上第11章113人教版.pdf

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1、11.3 多边形及其内角和第一课时教案一、教学目标(1)观察生活中大量的图片，认识一些简单的几何体（四边形、五边形），了解多边形及其内角，对角线等数学概念；(2)能由实物中辨别寻找出几何体，由几何体图形联想或设计一些实物形状；(3)了解类比的数学学习方法。二、教学重难点重点：连接多边形、内角、外角、对角线的概念以及凸多边形的形状的辨别；难点：正多边形的正确理解以及凸多边形的辨别三、专家建议让学生认识生活中的多边形形状，感受数学与生活的联系；在三角形的基础上，学习多边形把多边形的有关问题转化为三角形问题。在探究多边形的对角线的条数时，从特殊到一般进行分析，让学生体会从特殊到一般的分析问题的方法。

2、师生共同探究，教师注意多让学生活动，不要急于得出结论，在学生充分讨论的基础上再给出结论，有利于培养学生的探究精神，从而让学生感受成功的乐趣。四、教学方法情境引入探索研讨总结归纳练习提高五、教学用具多媒体，三角板，直尺六、教学过程（一）、情景导入投 影1 看 下 面 的 图片，你 能 从 中 找 出 由 一 些 线 段 围 成 的 图 形 吗？（二）、多边形及有关概念（1）多边形的定义这些图形有什么特点？由几条线段组成；它们不在同一条直线上；首尾顺次相接这种在同一平面内，由一些不在同一条直线上的线段首尾顺次相接组成的图形叫做 多边形。多边形按组成它的线段的条数分成三角形、四边形、五边形、n 边形

3、。这就是说，一个多边形由几条线段组成，就叫做几边形，三角形是最简单的多边形。例题讲解例 1：请列出生活中的一些多边形，并指出其特征解：房屋顶是三角形，因为三角形有稳定性；螺母底面为六边形，是为了方便安装和拆卸；黑板为四边形，是为了满足教学的使用；等等教师强调：多边形概念的重要提示：在多边形的概念中，要分清以下几个方面（1）在同一平面内；（2）若干线段不在同一直线上；（3）首尾顺次相结；（4）所形成的封闭图形（2）多边形的内角与三角形类似地，多边形相邻两边组成的角叫做多边形的内角，如图中的A、B、C、D、E。（3）多边形的外角多边形的边与它的邻边的延长线组成的角叫做多边形的外角 如图中的 1是五

4、边形 ABCDE的一个外角。例 2：（1）五边形、六边形分别有多少个内角？多少个外角？答：五边形有 5 个内角，10 个（5 对）外角；六边形有 6 个内角，12 个（6 对）外角.（2）n 边形有多少个内角？多少个外角？答：n 边形有 n 个内角，2n 个（n 对）外角.文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O

5、6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5

6、P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9

7、N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S

8、3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9

9、M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10

10、M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W

11、5S3O6（4）多边形的对角线连接多边形的不相邻的两个顶点的线段，叫做多边形的对角线做一做：（1）画出三角形，四边形，五边形，六边形多边形中从一个顶点出发的对角线，写出它的条数；它们把这个多边形分成了几个三角形？（2）你能写出它们对角线的总条数吗？如果不行，请画出所有对角线。你能猜想 n 边形从一个顶点出发能画几条对角线吗，能把这个n 边形分成几个三角形？说说你的想法。多边形的对角线：n 边形有12n（n3）条对角线。因为从 n 边形的一个顶点可以引n3 条对角线，n 个顶点共引 n（n3）条对角线，又由于连接任意两个顶点的两条对角线是相同的，所以，n 边形有12n（n3）条对角线。例题讲解例

12、 3：如图，从五边形ABCDE的一个顶点 A 出发，顺次间隔连接五边形的各顶点，得到的是一个什么样的图形？请动手试一试。解：得到的是一个五角星（三）、多边形的分类文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8

13、H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3

14、E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O

15、6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5

16、P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9

17、N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S

18、3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6投影 3如图，下面的两个多边形有什么不同？在图（1）中，画出四边形ABCD的任何一条边所在的直线，整个

19、图形都在这条直线的同一侧，这样的四边形叫做凸四边形，这样的多边形称为凸多边形；而图（2）就不满足上述凸多边形的特征，因为我们画BD 所在直线，整个多边形不都在这条直线的同一侧，我们称它为凹多边形。注意：今后我们讨论的多边形指的都是凸多边形（四）、正多边形的概念我们知道，等边三角形、正方形的各个角都相等，各条边都相等，像这样各个角都相等，各条边都相等的多边形叫做正多边形。下面是正多边形的一些例子。判断一个 n 边形是正 n 边形的条件是：当 n3 时，必须同时满足以下两个条件：（1）是各边相等，（2）是各角相等.两者缺一不可如长方形各角相等，但各边不一定相等，菱形各边相等，但各角不一定相等，所以

20、它们都不是正多边形。（五）、课堂练习1、如图，此多边形应记作 _ 五_ 边形_ ABCDE _，AB 边的邻边是 _ AE _、_ BC _，顶点 E 处的内角为 _ AED_，过顶点 A 画出这个多边形的对角线，共有 _2_条，它们把多边形分成 _3_个三角形。文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码

21、:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1

22、HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3

23、ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档

24、编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H

25、1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E

26、3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6

27、2、n 边形有 _n_个顶点，_n_ 边，有_n_ 个角，有_n_个不共顶点外角3、四边形有 _2_ 条对角线。五边形有 _3_条对角线。四边形的一条对角线将它分成 _2_个三角形4、从五边形的一个顶点出发可以画_2_ 条对角线，它们将五边形分成_3_个三角形5、正多边形的 _ 边_ 相等，_ 角_ 相等6、多边形分为 _ 凸多边形 _和_ 凹多边形_两类（六）、课堂小结1、多边形的定义2、多边形的内角n 边形有 n 个内角3、多边形的外角n 边形有 n 个不共顶点外角4、多边形的对角线n 边形从一个顶点可以做n-3 条对角线，可以将这个多边形分成n-2 个三角形。总共有12n（n3）条对角线

28、5、正多边形板书设计一、情境引入二、多边形的有关概念这种在同一平面内，由一些不在同一条直线上的线段首尾顺次相接组成的图形叫做 多边形。n 边形有 n 个顶点，n 边，有 n 个内角，有 n 个不共顶点外角，从一个顶点可以做 n-3 条对角线，可以将这个多边形分成n-2 个三角形。总共有12n（n3）条对角线。文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F1

29、0M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7

30、W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX

31、6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7

32、F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7

33、M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:

34、CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 H

35、O7F10M9N3E3 ZA7M7W5S3O6三、多边形的分类凸多边形与凹多边形四、正多边形的概念各个角都相等，各条边都相等的多边形叫做正多边形。五、课堂练习六、课堂小结文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9

36、M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10

37、M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W

38、5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6

39、J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F

40、10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6文档编码:CX6J9M5P8H1 HO7F10M9N3E3 ZA7M7W5S3O6