2022年人教A版高中数学必修四1.5《函数y=asin》教案4 .pdf

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1、名师精编优秀教案三角函数函数 yAsin（x）的图象教学目标1掌握 y=Asin（x）的图象画法2通过画yAsin（x）的图象认识函数性质3通过学习函数y=Asin（x）的图象，培养数形结合的思想及从特殊一般特殊的认识事物的规律教学重点与难点函数 yAsin（x）的图象教学过程设计（见下表）表 1 教学过程与计算机辅助教学过程的对比及计算机辅助教学对培养学生能力的作用本节课教学过程计算机辅助教学优势的说明对培养学生能力的作用1引入让学生观察屏幕上小球小角度摆动，这时教师告诉学生小球做的是简谐振动，它的运动方程为 y=Asin（x）引出课题这种运动的画面会立刻吸引学生的注意力，使他们迅速进入教学

2、情景这段引入在以往的教学模式中是教师口述生活中常见的例子，与计算机演示相比，在生动形象方面要逊色很多有助培养学生对生活的观察力、想象力、对知识的迁移能力2复习相关知识（1）复习函数图象变化，在屏幕上显示图1，点动鼠标使上图中横线上的字依次出现八种不同的显示方式（例如：从左到右、垂直渐现、掀开背景、水平新问题中要注意事物之间合拢、中心撕破、翻板显示、垂直合拢、推门显示）与传统的从左到右的事物是普遍联系的，在解决的联系，善于利用旧知识解决新的问题名师精编优秀教案（2）复习 y=sinx图象的几何画法（如图2）教师在单位圆上每隔 10度取角的终边作正弦线并平移至坐标系相应位置，然后用平滑曲线连接书写

3、形式相比形成了强烈的反差，深深吸引了学生的注意力 多彩的形式对学生的美感及想象力的培养也起着潜移默化的作用这种作图方式课本P167有插图及说明，教师的口授讲解学生大致可以明白，但因缺乏生动形象的展示，学生理解不够深刻，而用计算机却可以完全真实地展现y=sinx图象形成的全过程这种动画过程强烈刺激学生的感官，使学生深刻理解了这一知识点，这是投影等其它方式所不能达到的效果事物是运动的，运动的发展变化是有规律的，培训学生在运动变化的过程中发现规律、分析概括的能力续表文档编码:CR10W5T10D10W5 HX4L4O5Y9W3 ZI3F5S9G1O4文档编码:CR10W5T10D10W5 HX4L4

4、O5Y9W3 ZI3F5S9G1O4文档编码:CR10W5T10D10W5 HX4L4O5Y9W3 ZI3F5S9G1O4文档编码:CR10W5T10D10W5 HX4L4O5Y9W3 ZI3F5S9G1O4文档编码:CR10W5T10D10W5 HX4L4O5Y9W3 ZI3F5S9G1O4文档编码:CR10W5T10D10W5 HX4L4O5Y9W3 ZI3F5S9G1O4文档编码:CR10W5T10D10W5 HX4L4O5Y9W3 ZI3F5S9G1O4文档编码:CR10W5T10D10W5 HX4L4O5Y9W3 ZI3F5S9G1O4文档编码:CR10W5T10D10W5 HX4L

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7、4L4O5Y9W3 ZI3F5S9G1O4文档编码:CR10W5T10D10W5 HX4L4O5Y9W3 ZI3F5S9G1O4文档编码:CR10W5T10D10W5 HX4L4O5Y9W3 ZI3F5S9G1O4文档编码:CR10W5T10D10W5 HX4L4O5Y9W3 ZI3F5S9G1O4文档编码:CR10W5T10D10W5 HX4L4O5Y9W3 ZI3F5S9G1O4文档编码:CR10W5T10D10W5 HX4L4O5Y9W3 ZI3F5S9G1O4文档编码:CR10W5T10D10W5 HX4L4O5Y9W3 ZI3F5S9G1O4文档编码:CR10W5T10D10W5 H

8、X4L4O5Y9W3 ZI3F5S9G1O4文档编码:CR10W5T10D10W5 HX4L4O5Y9W3 ZI3F5S9G1O4文档编码:CR10W5T10D10W5 HX4L4O5Y9W3 ZI3F5S9G1O4文档编码:CR10W5T10D10W5 HX4L4O5Y9W3 ZI3F5S9G1O4文档编码:CR10W5T10D10W5 HX4L4O5Y9W3 ZI3F5S9G1O4文档编码:CR10W5T10D10W5 HX4L4O5Y9W3 ZI3F5S9G1O4文档编码:CR10W5T10D10W5 HX4L4O5Y9W3 ZI3F5S9G1O4文档编码:CR10W5T10D10W5

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10、 HX4L4O5Y9W3 ZI3F5S9G1O4文档编码:CR10W5T10D10W5 HX4L4O5Y9W3 ZI3F5S9G1O4文档编码:CR10W5T10D10W5 HX4L4O5Y9W3 ZI3F5S9G1O4文档编码:CR10W5T10D10W5 HX4L4O5Y9W3 ZI3F5S9G1O4文档编码:CR10W5T10D10W5 HX4L4O5Y9W3 ZI3F5S9G1O4名师精编优秀教案文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2

11、 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3

12、I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2

13、 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3

14、I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2

15、 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3

16、I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2

17、 HW3E7J1J9H9 ZZ7I6J3I1I3名师精编优秀教案续表本节课教学过程计算机辅助教学优势的说明对培养学生能力的作用好，总认为1 应该伸，0 1 时应该缩针对学生出现的问题，讲课时，一方面从对函数概念的理解上让学生懂得正确作法的道理，另一方面让学生仔细观察图象变化过程研究 y=sin（x+）图象变化研究 y=sin（x+）图象变化这两种问题都不是单一的变换，都存在先后顺序，都有中间一个过渡性的函数图象研究 A，对于y=sinx图象的影响，即y=Asin（x+）图象计算机辅助教学可以利用计算机切换快的特点，让学生看到把y=sinx 先横平移个单位，再纵伸缩至A倍，与先纵伸缩至A情再横平

18、移个单位效果相同 而y=sin（x+）是先把y=sinx 图象横向平移个单位得到y=sin（x+）图象后再横伸缩，或把 y=sinx图象先横伸缩，得到y=sin x 图象后，再横平移个单位当计算机把先后如何变化的全过程展现给学生时，学生们毫无疑问地对这一知识点的理解更具体、更深刻了培养学生对简单知识的综合运用能力4课堂练习讨论 y=-3sin（2x 3）计算机迅速演示作图过程进一步完善从特殊一般特殊的认识事物的规律5课再次让学生观察小球的运动通过画面快速回放，帮助学生回顾这节课的教学过程，巩固复习本节课的知识要点，以进一步达到总结数学思想方这类图象画起来很繁琐，如果在黑板上完全演示画法的全过程

19、，既耽误时间，又不够美观，用投影文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码

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22、:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1

23、J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码

24、:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1

25、J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3名师精编优秀教案堂教学小结法及培养能力的目的片也会带来同样的问题而用计算机却能快速地将作图过程展现出来，而且图象清晰、色彩鲜明，大大提高课堂效率和教学效果。附图课堂教学设计说明本节课的整体思路如下：1由一个物理现象引出课题2复习相关知识文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:C

26、K1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9

27、H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:C

28、K1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9

29、H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:C

30、K1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9

31、H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:C

32、K1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3名师精编优秀教案（1）复习图象变换知识（2）复习 y=sinx图象的几何画法3新课讲授（1）研究 y=sin（x+）的图象（2）研究 y=Asinx 的图象（3）研究 y=sin（x）的图象（4）研究 y=Asin（x）的图象（5）研究 y=sin（x+）的图象（6）研究 y=Asin（x+）的图象4课堂练习5课堂小结这节课信息量大、内容抽象，图形繁杂，学生较难理解，又是本章的难点和重点所以很有必要采用计算机辅助教学的形式新颖的教学形式强烈地吸引和

33、感染着学生，使学生们注意力集中，从而使教学任务较好地完成 动画效果的展示形成对视觉的强刺激，把通常惯用的语言描述生动形象地刻画出来，使学生对重点难点的知识掌握较为容易本节课的设计思想中体现着从特殊到一般，再从一般到特殊的认识事物的规律通过对图象变换的认识，可以进一步分析函数性质的变化，树立数形结合的思想文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9

34、 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1

35、A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9

36、 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1

37、A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9

38、 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3文档编码:CK1A9V1E9C2 HW3E7J1J9H9 ZZ7I6J3I1I3