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1、小学四年级数学梯形教学设计萧山区衙前农村小学校项庆云教学目标(一)使学生理解梯形的概念，知道梯形各部分名称，认识梯形的底和高(二)知道什么叫做等腰梯形，以及等腰梯形和梯形的关系(三)使学生了解所讲过的所有四边形之间的关系，并会用集合图表示(四)进一步提高学生归纳、概括能力教学重点和难点：理解梯形的概念，认识梯形的底和高并会画梯形的高是教学重点；整理所有四边形之间的关系，掌握各种图形的特征及其异同点是学习的难点教学过程设计：(一)复习准备1下面哪些图形是平行四边形？(投影)2说一说学过的四边形之间有怎样的关系？订正 1 题时，明确图(1)、(2)是平行四边形，图(3)有几条边？几个角？从而知道图
2、(3)是四边形但这个四边形的形状像什么？(梯子)这就是梯形今天就研究什么叫梯形(板书课题：梯形)(二)学习新课1认识梯形(1)出示图形(投影)提问：生活中你见到过这样的图形吗？它们外面的形状都像什么？(梯子、木箱、槽子)引导学生看出它们的外形是四边形这样的四边形有什么特点？一人到黑板上测量全班同学看课本153 页，测量四边形(2)交流测量结果通过检查测量使学生明确：有一组对边是平行的，但长度不相等，另一组对边不平行(3)概括梯形的定义只有一组对边平行的四边形叫做梯形(板书)文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT
3、2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J
4、9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV
5、10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8
6、I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文
7、档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY
8、1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H
9、8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R12认识梯形各部分名称结合图形说明，互相平行的一组对边叫做梯形的底，根据图形的位置，一般在上面的叫上底，在下面的叫下底习惯上上底画得短些，下底画得长些不平行的一组对边叫做腰 从上底的一个顶点向对边引一条垂线，这点和垂足之间的线段叫做梯形的高高的画法与三角形、平行四边形中高的画法相同(在原梯形
10、上补充)想一想：能不能在梯形的腰上画高？引导学生明确：梯形的高只能从相互平行的两条边中任一边上的点向它的对边画垂线 再想一想：你怎样区分梯形的底和腰呢？在学生思考的基础上，再次强调梯形的底和腰是根据对边是否平行来区分的，平行的一组对边是底，不平行的一组对边是腰 梯形的上底和下底是根据梯形的位置来区分的，一般上面的叫上底，比较短，下面的叫下底，比较长，但也不是绝对的例如京密引水渠截面是梯形，渠口的宽度(上底)就比渠底(下底)的宽度长3教学等腰梯形(1)教师演示拿一等腰梯形，对折一下你发现两腰有什么特点？(两腰相等)(2)学生测量153页的梯形，量一量两腰的长度，结果怎样？(两腰相等)文档编码:C
11、Y1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7
12、H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 H
13、T2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2
14、J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 Z
15、V10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L
16、8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1
17、文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1(3)概括两腰相等的梯形叫做等腰梯形(板书)它是梯形的一种特殊情况 用图表示4四边形的关系我们学过的四边形有长方形、正方形、平行四边形、梯形、等腰梯形如果根据对边平行的情况，你可以
18、把这些四边形分成几类？每类各有什么图形？在同学讨论的基础上，引导学生明确，根据对边平行的情况分成两类：一类是两组对边平行，其中包括有长方形、正方形和平行四边形；另一类是只有一组对边平行的，其中有梯形和等腰梯形平行四边形、长方形、正方形有怎样的关系？怎样用集合图表示？学生回答后填在四边形的圈里启发学生想一想：梯形和等腰梯形有怎样的关系？怎样用图表示？也填在四边形的圈里它们的关系可用上图表示(三)巩固反馈文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8
19、K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2
20、Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9
21、G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV1
22、0R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I
23、10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档
24、编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1
25、L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R11画出下面梯形的高，并指出上底和下底(三人在黑板上做)2在下面梯形里画一条线段，把它分割成两个图形，有几种画法？可以分成什么图形？(每人在本子上画)(四)课堂总结启发性提问：1什么叫梯形？什么叫等腰梯形？2梯形和等腰梯形有什么关系？3怎样区分平行四边形和梯形？4四边形之间有什么关系？(五)作业练习三十二第 46 题课堂教学设计意图：本节课是在学习了平行四边形，掌
26、握了长方形、正方形和平行四边形之间的关系的基础上，学习梯形和等腰梯形 认识梯形、建立梯形的概念是从观察日常生活中见到的实例或图形入手，引导学生看出它们的外形都是四边形，再通过学文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档
27、编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1
28、L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8
29、K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2
30、Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9
31、G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV1
32、0R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I
33、10R1生自己动手测量它们边长的特点，从而概括出梯形的定义 结合图形明确梯形各部分名称在认识梯形的基础上认识等腰梯形通过动手折纸，测量两腰长度，从而发现等腰梯形的特点，进而概括出等腰梯形的定义 在比较中明确等腰梯形是梯形的一种特殊情况，掌握它们之间的关系 最后通过同学们讨论，把四边形根据对边平行的情况分成两大类，说明四边形各种图形之间的关系，并用集合图表示板书设计梯形只有一组对边平行的四边形叫做梯形两腰相等的梯形叫做等腰梯形文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档
34、编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1
35、L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8
36、K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2
37、Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9
38、G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV1
39、0R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1文档编码:CY1L1H7H8K5 HT2Q8L2J9G1 ZV10R4L8I10R1