(完整word版)六年级分数乘除法应用题类型总结(经典),推荐文档.pdf

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1、分数应用题类型总结第一类、一个数的几分之几。已知单位“1”，用乘法。“是”“比”“占”后面是单位1，已知单位“1”，用乘法。“是比占”相当于“=”“的”相当于“”例 1:已知甲数是 乙数的53，乙数是 25，求甲数是多少？甲数=乙数 53即 2553=151.（1）某校有男生 240 人，女生是男生的65，女生有多少人？第二类、一个数的几分之几。未知单位“1”，用除法。“是”“比”“占”后面是单位1，未知单位“1”，用除法。“是比占”相当于“=”“的”相当于“”例:甲数是乙数的53，甲数是 15，求乙是多少？甲=乙 53即：1553=251、果园里有桃树 120 棵，桃树的棵数是梨树的41，果

2、园里有桃树多少棵？第三类、两步乘除此类型的题是第一第二类题目综合运用，一般要经过两步才能得到答案。1、A、小明有图书 48 本，小芳的图书是小明的65，小利的图书是小芳的43，小利有图书多少本？分析：这种类型的题目要倒着分析，从问题开始分析。思路：a 看问题求小利有图书多少本；b小利的图书是小芳的3/4；从 ab 看，如果知道小芳的图书本数，即可求出小利有多少本图书，小芳的图书是单位 1，小利图书=小芳图书 1/4，从题目看，小芳的图书本数没有直接给出，现在还不能求出小利的图书本数，接着看题目。精品资料-欢迎下载-欢迎下载 名师归纳-第 1 页，共 5 页 -C 小芳的图书是小明的5/6；如果

3、知道小明的图书本数即可求出小芳的图书本数，小明的图书是单位1，小芳图书=小明图书 5/6，随之可求出小利的图书本数；d 最后，彩蛋来了，“小明有图书48 本”有了这个条件，根据c 可求出小芳的图书本数，根据b 可求出小利图书本数。看明白了吗？从问题开始分析，根据条件一步步得到答案，像柯南找破案一样，很酷吧。自己尝试做一下吧B、小利有图书 45 本，小芳的图书是小明的65，小利的图书是小芳的43，小明有图书多少本？2、A、果园里有桃树80 棵，梨树的棵树是桃树的169，又是苹果树的3215，果园里有多少棵苹果树？B、果园里有桃树 45 棵，桃树的棵数是梨树的169，苹果树的棵数是梨树的2017，

4、果园里有多少棵苹果树？第四类、比单位“1”多或者少，已知单位“1”.甲比乙多几分之几，已知乙，求甲。甲=乙（1+几分之几）1、商店运来一批水果，其中苹果有180kg,梨比苹果多91，苹果多少千克？2、林场有 400 棵杨树，槐树的棵数比杨树多81，林场有多少棵槐树？精品资料-欢迎下载-欢迎下载 名师归纳-第 2 页，共 5 页 -文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7

5、R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P

6、6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU

7、9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R

8、7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI

9、10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4

10、Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档

11、编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2甲比乙少几分之几，已知乙，求甲。甲=乙（1-几分之几）6、某校有男生 240 人，女生比男生少61，女生有多少人？第五类、比单位“1”多或者少，求单位“1”.甲比乙多几分之几，已知甲，求乙。乙=甲（1+几分之几）商店运来一批水果，其中梨有20kg,梨比苹果多91，苹果多少千克？林场有 180 棵槐树，槐树的棵数比杨树多81，林场有多少棵杨树？甲比乙少几分之几，已知甲，求乙。乙=甲（1几分之几）某校有女生 200 人，女生比男生少61

12、，男生有多少 人？某养鸡场有公鸡 1200 只，比母鸡少51，母鸡有多少只？第六类、分数的和倍、差倍问题已知两个数的和（或差）及这两个数的倍数关系，求这两个数。方法一、和倍问题：单位1=和（1+倍数）另一个数=和单位 1 差倍问题：单位 1=和（1倍数）另一个数=差+单位 1 方法二、列方程，设单位1 为 x方法三、转化为比，再计算1、某单位四、五月份一共用电1680 千瓦时，已知四月份的用电量是五月份的3/5。五月份用电多少千瓦时？精品资料-欢迎下载-欢迎下载 名师归纳-第 3 页，共 5 页 -文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:C

13、C7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U

14、2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7

15、HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W

16、1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2

17、ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5

18、H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2

19、文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R22、小利买了一只圆珠笔和一只钢笔，共用去了12 元，圆珠笔的单价是钢笔的1/3。圆珠笔和钢笔的单价各是多少元？3、两城相距 112 千米，甲、乙两车同时从两城相对开，经过 4/5 小时相遇，甲、乙两车的速度比是5：9，甲、乙两车每小时各行多少千米？4、一块长方形草

20、地的周长是160cm，它的宽是长的3/5，这块草地的面积是多少？5、李奶奶和张奶奶一共捐款1200 元，李奶奶捐的钱数是张奶奶的1/2，李奶奶和张奶奶各捐了多少元？分数应用题解题口诀：找出关键句，判断单位“1”。已知单位“1”，直接用乘法。不知单位“1”，用除法精品资料-欢迎下载-欢迎下载 名师归纳-第 4 页，共 5 页 -文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R1

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22、7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J

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24、2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10

25、S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1

26、R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码

27、:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2工程问题工程问题的特点：一般工程问题都是，已知独做的工作时间（或合作的工作时间），求合作的时间（或独做的工作时间）数量关系：工作效率工作时间=工作总量工作总量工作时间=工作效率工作总量工作效率=工作时间1、一个蓄水池装有两个进水管，单开甲管10 分钟可以将水池注满，单开乙管12 分钟可以将水池注满。如果同时打开两管，多少分钟可以将水池注满？1 完成一项工程，甲队独做要 15 天，乙队独做要 20 天，丙队独做要 12 天。（1）三个队每

28、天各完成这项工程的几分之几？（2）三队合做多少天可以完成这项工程？（3）三队合做多少天可以完成这项工程的3/4？（4）甲乙合做 3 天后还余下工程的几分之几？（5）三队合做多少天后可余下这项工程的1/2？（6）三队合做两天后余下的由甲队独做，还要多少天可以完成？（7）甲乙合做 2 天后余下的由乙丙合做，还要多少天可以完成？（8）甲队先做 3 天后，余下的由三队合做还要多少天可以完成？（9）甲丙合做 2 天后，余下的由乙队独做，还要多少天可以完成？3.一份稿件，甲每小时打这份稿件的1/4，乙单独打完这份稿件要4 小时，如果两人合打这份稿件，几小时能完成？4一项工程甲队独做要40 天完成，甲队工效

29、是乙队的1/3，若两队合做，完成这项工程要多少天？5修一条公路，单独修甲要8 天完成，乙要 10 天完成，甲乙合做4 天后，还余下 72 米没有修，这条公路全长多少米？6一项工程，甲独做75 天完成，乙独做 50 天完成，在合做过程中，甲中途离开了一些天数，结果整个工程40 天才完成。甲中途离开了几天？7一批货物单独运，甲要 10 小时运完，乙要15小时运完，甲先运一段时间后，乙接着运。这样全部运完用了12.5 小时，问甲运了多少小时？8一份稿件甲乙合打要12 小时完成，甲独打要20 小时完成，现由两人合打直至完成任务，甲比乙多打0.9 万字。这份稿件共有多少万字？9一件工程甲独做20天完成，

30、乙独做30 天完成。现由二人合做，中途甲先休息 1 天，乙接着休息 6 天，工程完成时，两人同时工作了几天？10一支细长蜡烛 4 小时点完，一支粗短蜡烛6 小时点完，两支蜡烛同时点2小时后，剩下的长度正好相等。原来短粗蜡烛是长细蜡烛的几分之几？12.有一项工程，甲工程队单独做要10 天完成，乙工程队单独做要12 天完成，丙工程队单独做要15 天完成，现在甲、乙、丙三队合作2 天后剩下的工程再由丙单独做几天才能完工？13.师徒二人加工一批零件，师傅单独加工要8 小时完成，徒弟单独加工要10小时，师傅先加工2 小时后，再与徒弟共同加工，还需几小时？14.甲乙二车分别从AB两地同时相向开出，甲要6

31、小时到达 B地，乙要 8 小时到达 A地，当他们相遇时，甲比乙多行了120 千米，问 AB两地的距离是多少？精品资料-欢迎下载-欢迎下载 名师归纳-第 5 页，共 5 页 -文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编

32、码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R

33、10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6

34、L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9

35、J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7

36、P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI1

37、0S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2文档编码:CC7R10U2P6L7 HU9J9W1R7P2 ZI10S5H4Z1R2