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1、名师精编优秀教案课题2.4.2 用尺规作线段和角教学目标(一)教学知识点1.会用尺规作一个角等于已知角.2.利用尺规作一个角等于已知角的应用.(二)能力训练要求会用尺规作一个角等于已知角，并了解它在尺规作图中的简单应用.(三)情感与价值观要求通过作图，进一步激发学生的学习兴趣，体验数学在生活中的应用.教学重点用尺规作一个角等于已知角.教学难点理解画图的语言，能根据几何语言画出图形.教学方法讲练结合法教具准备师：直尺、圆规.投影片一张第一张：引例(记作投影片2.4.2 A)生：直尺、圆规、量角器教学过程.创设现实情景，引入新课师在上节课我们学习了用直尺和圆规作图，并且引入了规范的尺规作图语言.从
2、而能够用几何语言描述作一条线段等于已知线段.那么如何用尺规作一条线段等于已知线段呢？生已知线段a,求作：线段AB，使AB=a.作法：(1)作射线AC.(2)以点A为圆心，以a的长为半径画弧，交AC于点 B.则，AB就是所求的线段.图 264 师很好.同学们已掌握了一些尺规作图的语言.下面大家看一实例，你能解决它吗？(出示投影片2.4.2 A)如图 265，要在长方形木板上截一个平行四边形，使它的一组对边在长方形木板的边缘上，另一组对边中的一条边为AB.(1)请过C点画出与AB平行的另一条边.(2)如果你只有一个圆规和一把没有刻度的直尺，你能解决这个问题吗？名师精编优秀教案图 265 师大家讨论
3、讨论.生甲要在长方形木板上截一个平行四边形，按上图的方式(平行四边形的一组对边在长方形木板的边缘上).只要保证过点C作出与AB平行的另一条线段即可.所以我用一个三角板的一边与AB重合，用直尺紧靠三角板的另一边，然后移动三角板，使与AB重合的那边过点C，这样过C点画线段CD，则CD就是所求的与AB平行的另一边.如图 2 66.图 266 生乙只有一个圆规和一把没有刻度的直尺，现在还不能解决这个问题.生丙 过直线外一点作这条直线的平行线的原理是：同位角相等，两直线平行.所以，能不能过点C作一个角等于BAC，且使这两个角是同位角呢？师同学们讨论得很好，尤其是丙同学提出的问题：作一个角等于已知角.这节
4、课，我们就来利用尺规作一个角等于已知角.讲授新课师用尺规作图，它的步骤有哪些呢？生已知、求作、分析、作法.师好，那我们现在先来写已知、求作.师生共析已知：AOB,求作:AOB,使AOB=AOB.图 267 师这个AOB如何就能作出呢？它的道理是什么呢？这将在第五章中谈到.现在我们只需按下列作法步骤去画即可.下面老师在黑板上画、叙述，同学们在下面用尺规作AOB,使AOB=AOB.作法：(1)作射线OA.(2)以点O为圆心，以任意长为半径画弧，交OA于点C，交OB于点 D.文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R
5、1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编
6、码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R
7、1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编
8、码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R
9、1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编
10、码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R
11、1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8名师精编优秀教案(3)以点O为圆心，以OC长为半径画弧，交OA于点C.(4)以点C为圆心，以CD长为半径画弧，交前面的弧于点D.(5)过点 D作射线OB.AOB就是所求作的角.图 268 师同学们作好了没有？生齐声好了.师那你所作的角一定等于已知角吗？师大家来比较一下.生甲我用量角器量了量所作的角与已知角，可以知道这两个角相等.生乙 我把所作的角与已知角重叠，看到这两个角的终边与始边重合，说明所作的角与已知角相等.师很好.这样我们就会用尺规作一个角等于已知角.下面我们两人一组，再作
12、一个角等于已知角，一人叙述作法，一人根据作图.师大家基本掌握了用尺规作一个角等于已知角.接下来我们通过练习进一步熟悉掌握这内容.课堂练习(一)课本 P67随堂练习1.已知AOB,利用尺规作AOB，使AOB=2AOB.图 269 图 270 作法：(1)以O为圆心，以任意长为半径画弧，与OA交于点A，与OB交于点 C.(2)以点C为圆心，以AC长为半径画弧，交前弧于点B.(3)过点B作射线OB，则AOB就是所求作的角.或者：作法：(1)作射线OA.(2)以O点为圆心，以任意长为半径画弧交OA于点C，交OB于点 D.文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文
13、档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A
14、1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文
15、档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A
16、1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文
17、档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A
18、1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文
19、档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8名师精编优秀教案图 271 图 272(3)以点O为圆心，以OC长为半径画弧，交OA于C点.(4)以点C为圆心，以CD长为半径画弧，交前弧于E点.(5)以点 E为圆心，以CD长为半径画弧，交于点B.(6)过点B作射线OB.则AOB就是所求作的角.2.利用尺规完成本节课开始时提出的问题.作法：(略)，图如下图 273(二)看书 P67“读一读”.(三)看课本 P6566.课时小结本节课我们主要学习了用尺规作一个角等于已知角.要会用自己的语言
20、来书写作法，并要了解作一个角等于已知角在尺规作图中的简单应用.课后作业(一)课本 P68习题 2.6 1.(二)复习本章的全部内容，并作一小结.活动与探究1.利用尺规设计一些美丽的图案.过程 通过这个活动，一方面使学生进一步掌握尺规作图的方法，另一方面也可培养学生的动手、动脑能力，激发他们的创造力，增进其对数学的理解.结果结果是许多学生设计出好多的美丽图案.板书设计2.4.2 用尺规作线段和角一、做一做：作一个角等于已知角已知求作作法二、课堂练习三、读一读四、课时小结CE 文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A
21、1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文
22、档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A
23、1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文
24、档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A
25、1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文
26、档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A
27、1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8名师精编优秀教案五、课后作业文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z
28、5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM
29、5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z
30、5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM
31、5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z
32、5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8文档编码:CM5F9M4K3Q6 HL7A1R1Z6Z5 ZQ8A5J6S3A8