2022年平面图形的镶嵌教学设计 .pdf

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1、学习好资料欢迎下载课题学习平面图形的镶嵌西安交大附中张传敏一、学生起点分析知识基础：学生经历了对平行四边形、菱形、矩形、正方形、梯形等性质和判定的探索活动，掌握了有关特殊四边形的性制、判定，并了解多边形的内角和外角。学生活动经验基础：在本章前几节的探索活动中，学生体现了主动合作，实践动手能力，积累了一定的探索图形性质的经验，以及在活动过程中表现出一定的数学表达能力和数学思考的发展水平。二、学习任务分析本节力图学生通过在平面图形的密铺中进一步强化学生对多边形的内角和以及有关几何事实的认识。通过呈现的生动有趣的现实情境，通过观察分析、操作、交流、研讨等活动，进一步对图形性质丰富多彩的探索过程，进一

2、步发展学生合情推理能力，因此根据教学要求本节目标定为教学目标：1经历探索多边形密密铺（镶嵌）条件的过程，进一步发展学生推理、交流的意识和一定的审美情趣；2通过探索平面图形的密铺，知道哪些图形可以密铺；3通过本节的学习，进一步感受平面图形在现实生活中的广泛应用。教学重点：多边形密铺的条件教学难点：运用三角形、四边形成正六边形进行简单的密铺。教学方法：议论探索法，实践发现法三、教学过程设计共分六个环节第一环节：观察在线，直观感知第二环节：探索平台，合作研讨第三环节：实践之窗，研究探索第四环节：思考时空，理性深化第五环节：交流乐园，发现归纳第六环节：收获评价，总结提高学习好资料欢迎下载第一环节观察在

3、线，直观感知1活动内容：（1）观察工人师傅铺地砖的情境；（2）观察校园中平面图形密铺的实况录像；（见课件）2观察小结：（1）什么叫平面图形的密铺？用形状、大小完全相同的一种或几种平面图形进形拼接，彼此之间不留空隙，不重叠地铺成一片，这就是平面图形的密铺，又称叫做平面图形的镶嵌。（2）生活中平面图形的密铺随处可见。3活动目的：通过观察平面图形密铺的实例，进一步感受平面图形在现实生活中的广泛应用。第二环节探索平台，合作研讨1活动内容：四人小组合作研讨知识介绍：在平面内，各角相等，各边也都相等的多边形叫做正多边形。边数为 n 的多边形的内角和等于（n-2)180探索活动 问题 1：做一做 ：用准备好

4、的学具进行小组合作活动。文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3

5、K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5

6、文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:C

7、F1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O1

8、0S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5

9、HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I

10、10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5学习好资料欢迎下载用大小相同的正三角形、正六边形能否密铺？简述你的理由。能否用正五边形进行密铺？A学生动手操作，小组活动观察。B介绍正多边形C学

11、生小组议论D教师展示多媒体动画和学生进一步观察回顾探索活动思考探索归纳：文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O1

12、0S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5

13、HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I

14、10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7

15、 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3

16、K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5

17、文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5学习好资料欢迎下载（1）用形状、大小完全相同的正三角形可以密铺？每个拼接点处有6 个角，每六个角

18、分别这种三角形的内角，它们可以组成两个三角形的内角，它们的和为360。（2）用同一种正四边形可以密铺，每个拼接点处的四个角恰好是一个四边形的四个内角，它们的和为 360。结论即：用同一种正三角形、正四边形、正六边形可以密铺。2思考探究：议一议 除正三角形、正四边形、正六边形能密铺外，还能找到其它能密铺的正多边形吗？正五边形能否密铺？为什么？请叙述你的理由？还能找到其它能密铺的正多边形吗？A学生小组同伴研讨、拼接。B小组长交流发表小组意见C师生归纳总结正五边形不能密铺正五边形的每个内角都是108360 不是 108 的整数在每个拼接点处，三个内角之和为324，小于360，而四个内角之和都大于36

19、0。在每个拼接点处，拼三个内角不能保证没空隙，而拼接四个，必定有重叠现象。因此正五边形不能密铺。除正三角形、正四边形、正六边形外，其它的正多边形都不可以密铺。正 N边形每个内角nn180)2(设在每个拼接点处，有m个内角彼此无重叠，无缝隙拼接在一起。则nn180)2(m=360（m-2）(n-2)=4 (m、n 正整数)m-2，n-2 是 4 的因式 m=6，m=4，m=3，N=3 n=4 n=6 只有正三角形、正四边形、正六边形，可以密铺，其它正多边形不能密铺。3活动研讨小结1同一种正多边形是否可以密铺的关键是：一种正多边形的一个内角的倍数是否360。2用大小相同的正三角形、正四边形、正六边

20、形都可以密铺，其他正多边形都不可以密铺。文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5

21、K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5

22、I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9

23、T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码

24、:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4

25、O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V

26、5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5学习好资料欢迎下载4活动目的和效果。通过 做一做、议一议 实践合作思索研讨，学生从实践层面和理性分析合情推理方面，得到数学事实，

27、正三角形、正四边形、正六边形可以密铺，其它正多边形不能密铺。活动 效果：小组能很好合作、配合进行实践活动并思索研讨合作研讨除正三角形、正四边形、正六边形能密铺外，第三环节实践之间探索研讨1活动内容：做一做 、议一议 探索活动问题2：（1）同一种任意三角形能否密铺？。（2）用同种任意四边形可以密铺吗？与同伴交流；（3）在用同种三角形密铺的图案中，观察每个拼接点处有几个角，它们与这这种三角形的三个内角有什么关系？（4）在用同种四边形密铺的图案中，观察每个拼接点处的四个角与这种四边形的四个内角有什么关系？拼接摆摆，将你实践探索的结论与同伴交流文档编码:CF1N4O10S2V5 HA3I4I10X5K

28、7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I

29、3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T

30、5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:

31、CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O

32、10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5

33、 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4

34、I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5学习好资料欢迎下载2实践小结归纳：教师展示多媒体动画和学生进一步观察回顾探索活动。（1）可以。（2）可以。（3）6 个，这 6 个角分别是这种三角形的内角（其中有三组分别相等），它们可以组成两个三角形的内角，它们的和为360。

35、（4）每个拼接点处的四个角恰好是一个四边形的四个内角，它们的和为360。归纳：同一种任意三角形、任意四边形都能密铺各需要6 个、4个。同一种任意三角形取6 个，顶点拼接处为360。同一种任意四边形取4 个，顶点拼接处将为它们的和。平面图形能密铺的条件是，每个拼接点处的多边形各内角之和能组合成 180 或 360。3活动目的与效果由对特殊图形的密铺到一般图形密铺的探索，实践了“实践认识再实践再认识”的研究问题的方法。意在通过学生的活动，发现多边形可以密铺的条件。第四环节思考时空理性深化1活动内容：练一练，想一想 1如图，在一个正方形的内部按图示的方式剪去一个正三角形，并平移，形成如图所示的新图案

36、，以这个图案为“基本单位”是否进行密铺？说说你的理由。（1）学生练习、思考、交流；（2）师生交流小结可以，正方形是可以密铺的，而本题只是在整个密铺图案中，将其中一个正方形的某一部分平移到了另一正方形的相应部位，因而它也是可以密铺的。2活动目的与效果平面图形的密铺是体现多边形在现实生活中应用价值的一个方面，也是开发、培养学生创造性思维的一个重要渠道。文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T

37、5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:

38、CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O

39、10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5

40、 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4

41、I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K

42、7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I

43、3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5学习好资料欢迎下载第五环节：交流乐园，发现归纳1活动内容：如何以下图中的（1）、（2）为拼图的“基本单位”，拼出图（3）、（4）、（5）、（6）？如果允许图形作轴对称变换，那么还可以拼出怎样的图案？2活动目的与效果意在展示密铺图案的丰富多彩性，同时，为有兴趣的学生研究多种多边形的密铺、不规则图案的密铺提供了范例，增强了学生对密铺的理解。第六环节：收获评价，总结提高1活动内容：（1）目标回顾本节课你有什么收获和感受？

44、本节课你有什么疑惑和问题？你能给自己和同伴在本节课的学习作个评价吗？学到了什么？密铺的含义密铺的条件密铺的应用探索平面图形的密铺思想方法：观察、实验、探究、合作、比较、归纳、解决问题（2）欣赏时空：美丽的密铺图案（1）（3）（5）（2）（4）（6）（10）（8）（9）（7）文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K

45、6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文

46、档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF

47、1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10

48、S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 H

49、A3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I1

50、0X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7 ZU5I3K6E9T5文档编码:CF1N4O10S2V5 HA3I4I10X5K7