2022年6.2一次函数2 .pdf

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1、名师精编优秀教案数学教学设计教材：义务教育教科书数学（八年级上册）6.2 一次函数（2）标1能根据已知条件写出一次函数的表达式2进一步由函数中的自变量求出相应的函数值3把实际问题抽象为数学问题，也能把所学知识运用于实际，让学生认识数学与人类生活的密切联系及对人的作用点根据已知条件确定一次函数的表达式点根据已知条件确定一次函数的表达式教学过程（教师）学生活动设计思出下列各题中 y与x之间的表达式，并判断：y是否为 x？是否为正比例函数？托车以50千米/时的速度匀速行驶，行驶路程y（km）（h）之间的关系；方体的表面积y（cm2）与它的棱长 x（cm）之间的关棵树现在高40 厘米，每个月长高 3

2、厘米，x 月后这棵（厘米）；边形的内角和 s 与边数 n 的函数关系空知函数y4x5，当x3时，y_；当y5时，知函数y3x1，当x2时，y_；当y0时，积极思考，主动发言，相互纠错（1）y50 x，y 是 x 的一次函数，也是正比例函数（2）y6x2，y 不是 x 的一次函数（3）y3x40，y 是 x 的一次函数，但不是正比例函数（4）s50（n2），s 是 n 的一次函数，但不是正比例函数（1）7，0；（2）5，13借此两个练次函数的相关概量的值，函数值的节课的进一步展基础名师精编优秀教案表达的函数关系转化为函数表达式盘蚊香长 105cm，点燃时每小时缩短10cm出蚊香点燃后的长度 y（

3、cm）与点燃时间 t（h）之间式；盘蚊香可以燃烧多长时间？两地相距 520km，一辆汽车以 80km/h 的速度从甲地开驶了 t（h）试问剩余路程s（km）与行驶时间 t（h）的函数表达式？并求t 的取值范围解：（1）y10510t；（2）蚊香燃尽，即 y0，由（1）得10510t0，即t10.5答：该盘蚊香可以燃烧10.5h学生口答：解：s52080t（0t 6.5）通过例题教学生掌握将文字函数关系转化为然后根据函数值的自变量的值，并练习文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6

4、B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z

5、3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4

6、M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9

7、R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL

8、6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5

9、Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9

10、E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2名师精编优秀教案法求一次函数的表达式弹性限度内，弹簧长度y（cm）是所挂物体的质量x函数已知一根弹簧挂10g 物体时的长度为11cm，时的长度为 15cm，试求 y 与 x 的函数表达式书据题意，设 y 与 x 的函数表达式为 ykxb时，y11，得1110kb时，y15，得1530kb组10kb11，30kb15，得k 0.2，b9数表达式为 y0.2x9：如何用“待定系数法”确定一次函数的表达式？结：定系数法”确

11、定一次函数表达式的一般步骤是：次函数的表达式ykxb（k0）；知条件代入表达式得到关于 k、b 的方程（组）；程（组），求出k、b 的值；b的值代回所设的表达式数的表达式中有两个待定系数，因而需要两个条件每件的销售价 x元与产品的日销售量 y件之间的关系如口答解：学生交流解：（1）设此函数表达式为ykxb，由题意得，例 2 是一道动”相呼应、探索力的大小关系的函数的一个物理的学校可以让学感受弹簧的弹性的限度 此题体现数法，可以确定所的表达式，讲解细位，让学生理解并方法，并配以练习固的作用文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X

12、5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q

13、3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3

14、E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I

15、8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M1

16、0Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6

17、B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z

18、3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2名师精编优秀教案15 20 25 25 20 15 售量 y 是销售价 x 的一次函数出日销售量 y 件与销售价 x 元的函数表达式；该产品每件成本 10 元，销售价定为 30元时，求每日15k b25，20k b20，解得k 1，b40所以函数表达式为：yx40（2）当 x30 时，y304010（件）（3010）10200（元）答：每日的销售利润为200 元文档编码

19、:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5

20、HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8

21、ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档

22、编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V

23、5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F

24、8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2

25、文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2名师精编优秀教案过本节课的学习：己说，你有哪些收获？学说，你有哪些温馨提示？师说，你有哪些困惑？我们一起回顾一下今天我们这节课的内容题转化为数学模型，即确定一次函数的表达式，然后得到的数学模型去解决实际的数学问题尝试对知识方法进行归纳、提炼、总结，形成理性的认识，内化数学

26、的方法和经验小结不仅可梳理知识、理清脉能够起到提升认结构的作用 老己三方融为一体理、答疑、解惑，了学生的主观能培养学生的反思识，但作为一个初学生对新概念缺统、深刻的认识和小结不宜完全脱导和归纳课我们主要研究了一次函数的表达式，一次函数的图么特点呢？请以一具体实例画图说明复习本节课的内容，预习新课培养学生自力文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M

27、10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R

28、6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6

29、Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y

30、4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E

31、9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:C

32、L6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2文档编码:CL6Z3I8X5V5 HJ5Y4M10Q3F8 ZE9E9R6B3E2