2022年小学数学二年级上册第二单元单元备课 .pdf

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1、小学数学二年级上册第二单元单元备课乘法口诀(一)一、单元教材分析1.单元知识结构图:2.单元主要知识点1)25 乘法口诀2)用 25 的乘法口诀进行乘法口算3)解决有关的简单实际问题3.教材中的编排思想方法本单元知识是在学生初步了解乘法的意义和掌握“跳着数”的数数技能(连加的计算方法)的基础上来学习的。乘法口诀是学习表内乘除法,乃至多位数乘除法的基础。因为任何多位数的乘法,都要分解为若干个一位数的乘法才能计算,而除法计算,也要根据乘除关系,利用乘法口诀求商。因此,学习乘除法运算之前必须先掌握乘法口诀。本册教材把乘法口诀分成两个单元进行教学,本单元只学习25 的乘法口诀。这种编排的意图,一方面是

2、想把除法的学习提前一点,使学生体会乘法口诀在除法运算中的应用与价值,体验乘法与除法的密切联系;另一方面,能够延长乘法口诀的学习周期,并有循环反复练习巩固的机会。4.单元知识在生活中的运用会用 25 的乘法口诀进行乘法计算,并解决生活中简单的实际问题。二、单元教学目标:知识与技能:1、结合解决问题的情境,经历编制2-5 乘法口诀的过程,体验运用乘法口诀的优越性。2、能够发现每一组乘法口诀的排列规律,培养有条理思考的习惯,逐步发展数感。3、会比较熟练地用2-5 的乘法口诀进行乘法口算和解决简单的实际问题。过程与方法:引导学生通过观察、操作、推理等活动探索新知。情感目标:积极主动参与编乘法口诀等数学

3、活动,获得成功的体验,增强自信心。三、教学重点剖析在理解的基础上熟记2-5 的乘法口诀已学过的相关内容一年级下册100 以内的加法本册乘法的意义乘法算式各部分的名称本单元的主要内容25 乘法口诀用 2 5 的乘法口诀进行乘法口算解决有关的简单实际问题后续的相关内容本册除法的意义用乘法口诀求商及其应用69 的乘法口诀及其应用四、教学难点剖析1、理解 2-5 的每句乘法口诀的含义和来源。2、利用 2-5 的乘法口诀解决简单的实际问题。五、教学策略(一)创造性地使用教材,创设出学生感兴趣的情境,使学生在静态和动态中获得感知,从而进一步理解乘法的意义。(二)重视迁移,引导学生探索与交流。在学习 5 的

4、乘法口诀后要充分发挥学生对已有乘法口诀的知识迁移作用。并通过具体的情境,要使学生主体作用发挥淋漓尽致,让学生经历编制乘法口诀的过程,感受口诀的来源。(三)重视良好的书写习惯。老师在进行乘法口诀的书写时,要让学生了解“乘法口诀”是我们祖先传下来的,所以写口诀时用中文字书写,要让学生注意和乘法算式的书写是有区别的,在书写的过程要养成良好的书写习惯,按要求认真做题。(三)注重练习的有效性与多样性在学习 2-5 的乘法口诀时,大部分的学生基本掌握了运用口诀进行计算的方法,只是熟练的程度还不够,教师在教学时,要精心设计练习的形式,充分相信学生,大胆放手,让学生在互相学习,互相交流中,轻松完成学习任务。(

5、四)培养学生解决生活中数学问题的能力。教学时,教师可以利用教科书上的情境或学生身边的素材,鼓励学生提出问题,并引导学生尝试解决问题。学生提出的问题如果不能解决可以存放在“问题银行中”。注意生师互动,建立良好的师生关系。六、练习基础练习1、我会算。48=63=21=45=33=56=27=44=39=08=8+1=53=37=25=83=2、我会填。1)、一双袜子 2 只,2 双()只,5 双()只。2)、每层楼大约高3 米,5 层的教学楼大约有()米。文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6

6、X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8

7、R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6

8、X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8

9、R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6

10、X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8

11、R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6

12、X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A83)、3 个 4 相加,用乘法表示写在()或()。4)、4 张 5 元和 1 张 10 元是()元。5)、一支圆珠笔 2 元,淘气用 20 元买 6 支,应找回()元。6)、找规律填空:(1)10,15,20()()。(2)9,12,15,(),()。7)、里最大能填几?325 5 21 215 4 18 8)、把乘法口诀补充完整,并写出两道乘法算式。(共10 分)三八()四七()9)、在括号里填上合适的数。5 10 30 16 14 3、连一连。1)、请你把算式与对应的图连起来。2)、找朋友34

13、2222 33 42 333 文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:

14、CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V

15、3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:

16、CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V

17、3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:

18、CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V

19、3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A882 二八十六39 93 三九二十七36 63 四五二十45 54 三六十八28 综合练习1、看图列算式。加法算式:乘法算式:读作:()乘()2、你能列出几道算式?3、解决生活中的问题。1)、2)、我们都有 8 只脚,一共有多少只脚?爸爸每个星期工作5 天,每天工作 8 个小时。一个星期要工作多少个小时?文档编码:CK9V3C8

20、R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6

21、X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8

22、R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6

23、X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8

24、R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6

25、X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8

26、R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A83)、(1)笑笑买 2 包饼干,需要多少钱?(2)淘气买 5 块点心,需要多少钱?(3)智慧老人买 3 瓶汽水和 1 瓶果汁一共要付多少钱?(4)你还能提出哪些问题?请列式解答。易错题1、把乘法口诀补充完整。三五(),四()二十四,()九二十七,一八(),()十四,()十二三八()五九()四七()2、填“”、“”或“”。46 10 20 4 5 92 2 9 18 6 66 84

27、3 6 44 4 文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C

28、8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE

29、6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C

30、8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE

31、6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C

32、8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8文档编码:CK9V3C8R3I9 HQ9F2K5V3I9 ZE6X4V7T3A8

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