2022年因式分解巩固练习教案2 .pdf

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1、13.5.2 因式分解巩固练习教学目标知识与技能：使学生理解因式分解是把一个多项式化为几个整式的积的形式，是整式乘法的逆变形过程与方法：使学生灵活应用乘法公式进行分解因式，注意因式分解的彻底性情感态度与价值观：培养良好的逆向思维，形成代数意识，和严谨的学习态度重点、难点、关键重点：能利用因式分解的常用方法进行分解因式难点：灵活地应用因式分解的常用方法分解因式关键：抓住乘法公式的结构特征应用于多项式的分解，注意检验多项式是否分解彻底了教具准备投影仪教学过程一、回顾1提问（1）什么叫做因式分解？（2）因式分解的常用方法有哪些？应注意些什么？（3）整式乘法和因式分解有什么区别？教师活动：提出问题，学

2、生活动：复习、回忆、回答教学方法和媒体：投影显示问题、讨论、交流2点评：复习因式分解时就强调下列几点：（1）一个多项式进行分解因式，首先应考虑有没有公因式，?如果有公因式应提取，而且要提取彻底（2）分解因式要分解到不能再分解为止，?一般没有特殊说明是在有理数范围内分解因式（3）分解结果中的每一个因式应当是整式（4）分解结果若出现相同因式，应写成幂的形式二、参与其中，探究新知例 1 分解因式9（x+3）2（3x2）+（23x）思路点拨：本题中 3x2 与 23x 是互为相反数，应该将它们中的一个转化，2?3x=（3x2），而后利用提取公因式提出（3x 2）即：（3x2）9（x+3）2 1，通过观

3、察可将 9（x+3）21 应用平方差公式分解因式，最后对每一个因式进行整理解：9（x+3）2（3x2）+（23x）=9（x+3）2（3x2）（3x2）=（3x2）9（x+3）21=（3x2）3（x+3）+13（x+3）1=（3x2）（3x+10）（3x+8）例 2 分解因式4（x+2y）281（xy）2思路点拨：本题应首先将式子变形为2（x+2y）29（xy）2的形式，再用乘法公式分解，最后整理每一个因式，检查每一个因式能否再分解因式解：4（x+2y）281（x+y）2=2（x+2y）29（xy）2=2（x+2y）+9（xy）2（x+2y）9（xy）=（2x+4y+9x 9y）（2x+4y 9

4、x+9y）=（11x 5y）（13y7x）教师活动：启发、引导学生活动：参与分析教学方法：互动交流点拨：通过例1、例2，应使学生掌握因式分解的基本思路和常见手法，特别要注意因式分解的彻底性，对每一个因式注意检查是否是最简因式三、随堂练习，巩固新知文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A

5、1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9

6、V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4

7、S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N

8、8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5

9、P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7

10、J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8练习1用提公因式法

11、分解因式（1）20a25ab（2）a3b23a2b3（3）9a3x227a5x2+36a4x4（4）amam+1（5）a2（x 2a）2a（2ax）2（6）（x m）3m（xm）2用公式法分解因式（1）a236b2（2）9x2+16y2（3）144x2 256y2（4）z2+（xy）2（5）（a+2b）2（x3y）2（6）aa5（7）a481b4教师活动：巡视、关注中等或中下水平的学生学生活动：书面练习、合作探索教学方法和媒体：投影显示练习题，师生交流四、全课小结，提高认识1本节主要内容有：因式分解和因式分解的方法，?学习了提公因式法和公式法2应充分感受到因式分解的过程与整式乘法恰好相反、?掌

12、握检验因式分解的正确性的方法3应灵活应用乘法公式进行因式分解，注意解题的完整性，?和因式分解结论的要求五、作业布置选用课时作业设计第二课时作业设计一、判断题1（a2b2）（a2+b2）=a4b4（）2a2ab+14b2=（12b a）2（）34a3+6a2+8a=2a（2a2+3a+4a）（）文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 Z

13、V10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档

14、编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I

15、8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5

16、 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8

17、文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A

18、1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9

19、V5 ZV10K4Y7J4S84分解因式a3 2a2+a1=a（a1）21（）5分解因式（xy）22（xy）+1=（x1）2（）二、填空题6若 n 为整数，则（2n+1）2（2n1）2一定能被 _整除7因式分解 x3y2x2y2xy=_ 8因式分解（x2）2（2x）3=_ 9因式分解（x+y）281=_ 10因式分解16ab3+9a2b6=_ 11当 m_时，a212am 可以写成两数和的平方12若 4a2ka+9 是两数和的平方，则k=_13利用因式分解计算19986.55+42519.980.19988000=_三、选择题14下列各式从左边到右边的因式分解中，正确的是（）Ax2+y22xy

20、=（x+y）22xy B（m n）（a b）2（m+n）（b a）2=2n（ab）2Cab（ab c）=a2b ab2abc Dam+am+1=am+1（a+1）15把 a2（x3）+a（3x）分解因式，结果是（）A（x3）（a+a）Ba（x3）（a+1）Ca（x3）（a1）Da2（3x）（1a）16若 x2+mx+4 能分解成两个一次因式的积，则m 为（）A 1 B 5 C 2 D 4 四、把下列各式分解因式172x432y418（ab）+2m（ab）m2（ba）19ab2（x y）ab（yx）20125a2（b1）100a（1b）文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 Z

21、V10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档

22、编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I

23、8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5

24、 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8

25、文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A

26、1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9

27、V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S82114m4+2m2n+4n222 a4+2a2b2b423（x+y）24z22425（3x y）236（3x+y）2答案:一、12345二、68 7 xy（x2y+xy+1）8（x2）2（x1）9（x+y9）（x+y+9）10（1 3ab3）2?11m=36 12k 12 1319980 三、14 B 15C 16D 四

28、、17 2（x2+4y2）（x+2y）（x2y）18（ab）（m+1）219ab（xy）（b+1）2025a（?b1）（5a+4）21（12m2+2n）222（a+b）2（ab）223（x+y22）（x+y+22）24 11（3x?11y）（3x+y）文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6

29、N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D

30、5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y

31、7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8

32、Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J

33、4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8文档编码:CG8Q6N8A1I8 HY4J4D5P9V5 ZV10K4Y7J4S8