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1、课题三:小数的性质一、教学内容:教科书 5859 例 1、例 2、例 3。二、授课时间:2014 年4 月14 日三、教学目的:1、初步理解小数的基本性质,并应用性质化简和改写小数。2、运用猜测、操作、检验、观察、对比等方法,探索并发现小数的性质,养成探求新知的良好品质。3、感受透过现象看本质的过程以及数学在实际生活中的重要作用,体验问题解决的情趣。四、教材分析:小数的性质是小数四则计算的基础。根据小数的性质,可以化简小数,也可以不改变小数的大小,在小数末尾添上一个或几个“0”,或者把整数改写成小数的形式。教学时,要通过比较、辨析、抽象、概括等一系列的思维活动,帮助学生理解和掌握小数的性质。教
2、学重点:掌握小数性质的含义。五、教学重点:让学生理解并掌握小数的性质。六、教学难点:能应用小数的性质解决实际问题.七、课的类型:新授课八、教学方法:讲解法,引导法九、教学用具:多媒体十、课时安排:1 课时十一、教学过程:(一)、创设情境,引导探索1 师:夏天的时候同学们都爱吃冷饮,老师了解到校门口左边的商店可爱多标价是 2.5 元,右边一家则是 2.50元,那你们去买的时候会选择哪一家呢?为什么?师:为什么 2.5 元末尾添个 0 大小不变呢?究竟可以添几个零呢?这节课我们就来研究这一方面的知识。二、探究新知、课中释疑1.教学例 1。(1)课件出示 1 分米、10 厘米、100毫米的线段图请比
3、较一下它们的大小。学生略加思考后马上提问,要求说说你是怎么知道的。(即想的过程)演示:重合法比较1 分米、10 厘米、100 毫米的大小。板书并演示:1 分米=10 厘米=100毫米(2)导入例 1:你能把它们改写成用米做单位的小数的形式吗?根据学生回答归纳演示:1 分米是 1/10 米,写成 0.1米10 厘米是 10 个 1/100米,写成 0.10米100毫米是 100个 1/1000米,写成 0.100米并板书:01 米0.10米0.100米那 0.1米、0.10米、0.100 米之间大小有什么关系呢?学生很快回答后课件演示。并在他们之间加上等号。我们还可以用重合法比较一下。(课件演示
4、)(3)指导看黑板:1 分米=10 厘米=100 毫米0.1 米=0.10 米=0.100米提问:这说明了什么问题?请大家仔细观察这个等式,可以从左往右看,再从右往左看,有什么变化?在这个小数的什么位置(强调是末尾,不是后面)?多(少)文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2
5、HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 Z
6、O5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编
7、码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F
8、2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1
9、 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文
10、档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R30 还可以怎么说?根据学生回
11、答逐一板书:小数0.1米=0.10 米=0.100 米大小不变小数的性质:小数的末尾添上0 大小不变,去掉0 大小也不变。是不是所有的小数都有这个性质呢?这是不是一个特例?我们还需再验证一下。(4)验证练习,做一做。出示例2:比较 0.30 和 0.3 的大小。请你用喜欢的颜色分别表示出030 和 03。导:想想 0.30表示什么意思?0.3 呢?应该涂多少格?学生涂完色问:你为什么这样涂?之后演示涂色过程。问:谁涂的面积大?0.30和.0.3 的大小怎样?你是怎么知道的?直观比较法:看上去都一样大;(在原板书下再板书:0.300.3)(5)从数位顺序表上可以看出,在小数的末尾添零或是去零,其
12、余的数所在数位不变,所以小数的大小也就不变。师:小数中间的零能不能去掉?能不能在小数中间添零?生:不能,因为这样做,其余的数所在数位都变了,所以小数大小也就变了。师:那整数有这个性质吗?(要强调出小数与整数的区别)(6)判断练习。末尾添上“0”末尾去掉“0”文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT
13、3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR
14、7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5
15、F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:
16、CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2
17、HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 Z
18、O5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3下面的
19、数中,那些“0”可以去掉?0.3005000.004060.06(三)、联系生活灵活运用1教师结合板书内容讲解性质的运用。(1)根据小数的性质,当遇到小数末尾有“0”的时侯,例如,0.30,一般可以去掉末尾的“0”,把小数化简。(0.300.3)化简下面各小数:2.9000.50600 0.09010.83012.000(2)师:有时根据需要,可以在小数的末尾添上0;(例如:0.30.30)还可以在整数的个位右下角点上小数点,再添上0,把整数写成小数的形式。比如:我们在商场里看到的2 元=2.00 元,2.5 元=2.50元出示:不改变数的大小,把0.2、4.08、3 改写成小数部分是三位的小
20、数,怎样改写?让学生同桌两人议论后答出。提醒:把整数改写成小数形式,在整数的个位右下角点上小数点,再添上“0”。(四)、智力大比拼1、数字游戏、拓展升华:摆数游戏1.出示5张卡片:2、5、0、0、和“”并说明游戏要求:每小组利用老师发给的数字卡片按要求摆数。3个人摆数,一个人做记录。想一想:怎样摆才能既不重复又不遗漏2.动手摆(1)用五张卡片摆一个数,这个数中的两个“”都能去文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1
21、 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文
22、档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M
23、6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1
24、F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R
25、3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X
26、1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5
27、S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3掉(2)用五张卡片摆一个数,这个数中的两个“”一个能去掉,一个不能去掉3.请小组板演汇报,不完全的可以补充。(五)、总结师:什么叫小数的性质?十二、作业设计完成教科书第 64 页第一题。十三、板书设计:小数的性质观察:1 分米=10 厘米=100 毫米0.1米=0.10 米=0.100 米观察上面的式子,你发现了什么规律?小数的基本性质:小数的末尾添上或去掉“0”,小数的大小不变。十四、课后反思文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编
28、码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F
29、2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1
30、 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文
31、档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M
32、6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1
33、F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3文档编码:CT3B10X1M6F2 HR7S2B5S1F1 ZO5F4L9Z4R3