2022年2018青岛版七年级数学下册8.1《角的表示》导学案2 .pdf

名师精编优秀教案BAOBAOBAO8.1 角的表示教学目标：1、通过丰富的实例，进一步理解角的两种定义方式以及顶点、边、始边、终边等有关概念.2、掌握角的表示方法，能在图形中区分不同的角，并把它们分别表示出来。教学重点：角的概念及角的表示方法.教学难点：角的表示方法.教学过程：一：观看图片引入新课二、新知探究知识点 1：角的定义及相关概念（一）从静态的观点来探究角的定义从铁桥、梯子、标志牌的图片中，你看到角的形象了吗？你还能在生活中找到类似的例子吗？这些角的形象有什么共同特点？与同学交流.（1）角的定义（一）：有_ _组成的图形叫做角.这个 _叫做角的顶点，这两条射线叫做角的 _ _.（2）如图，点O是角的顶点，射线OA与 OB是角的边.（二）从动态的观点来探究角的定义从时钟指针的转动、圆规的张开、汽车的雨刷的摆动中，你能发现角的形象吗？（1）角的定义（二）：角也可以看做是一条射线绕着_从所形成的图形。射线旋转时经过的平面部分是角的内部.（2）平角的定义：当终止位置与起始位置成一条直线时，所成的角是 .平角等于 .周角的定义:当终止位置与起始位置重合时，所成的角是 .周角等于AOB名师精编优秀教案DCBA温馨提示：今后，在本书中所说的角，如果没有特别注明，我们都指不大于平角的角知识点 2：角的表示方法。学生阅读课本第4 页，完成学案（1）和（2）（1）符号：角符号_.（2）四种表示方法：用三个大写的英文字母表示，如图（1）记作 .表示顶点的字母必须写在 _。用一个大写英文字母表示，如图（1）可记作 _。用一个数字表示，如图（2）可记作 _ _、_ _ 用一个希腊字母表示，如图（3）可记作 _ _、_ _ 三、典型例题例 1 如图，点D在线段 AB上。(1)ABC与 DBC表示同一个角吗？(2)图中哪些角可以只用一个字母表示？把它们分别写出来。(3)以点 C为顶点的角有哪几个？把它们分别写出来.(4)数一数，图中共有多少个角？把它们分别写出来。巩固练习：（1）图 1 中有 _个角，可以表示为_ 文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 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HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1名师精编优秀教案DCBAODCBA54321（2）图 2 中 ABC可以表示成_或_，可以表示成 _ _，2 可以表示成 _（3）图 3 中可以用一个大写字母表示的角有_个，它们是 _ _图 1 图 2 图 3 四、课堂检测：1.角的概念及角的表示：（1）有_ _ 组成的图形叫做角.这个 _叫做角的顶点，这两条射线叫做角的 _ _.（2）角也可以看做是一条射线绕着_从所形成的图形。射线旋转时经过的平面部分是角的内部.2.如图,分别用三个大写英文字母表示1，2、3、4、5 1可以表示成，2可以表示成，3可以表示成，4可以表示成，5可以表示成3.（1）图中有几个角？表示出这些角。（2）有能用一个大写字母表示的角吗？表示出来.4.如图，分别指出以射线OB为一边的角，并用三个大写字母把它们表ABCOABCD1 2 ABCD文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 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ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1名师精编优秀教案DCBAEDCBAEDCBA示出来.五、课堂小结：本节课你的收获是什么？六、课下作业 1.下列说法正确的是（）A.两条射线所组成的图形叫做角 B.周角是一条射线C.在直线上任取一点作顶点，就可以把这条直线看做一个平角D.在 ABC的边 BC的延长线上任取一点D 2.如图，下列各组角中，表示同一个角的是（）A.BDA与 BDE B.ACE与 AEC C.BAD与 CAE D.ACE与 ABD 3.图中小于平角的角有（）A.5 个 B.6个 C.7个 D.8个4.如图，下列说法正确的是（）A.BDA就是 BDE B.ACE就是 AEC C.BAD就是 CAE D.ACE就是 ABD （第 3 题）（第 4 题）（第 5 题）5.如图，分别用三个大写英文字母表示1,2,3.1可以表示成，2可以表示成，3可以表示成 .6.根据下图，填写表格，将图中的角用不同的方法表示出来.文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 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ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1名师精编优秀教案7.下面各图中哪些角可以用一个大写英文字母表示？哪些角必须用三个大写英文字母表示？把它们写出来。8.如图，图（1）有个角，图（2）中有，图（3）中有，以此类推，若一个角内有n 条射线，此时共有个角.图(3)图(2)图(1)文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 ZX1I3Z7M8P1文档编码:CM3A3A5F9Z5 HX8N6T6N7Z4 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