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(完整word版)高代下试卷期末.pdf

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1、1 2014-2015 学年第二学期几何与高等代数（下）期末试卷(2014级数学类专业)班级学号姓名得分一、判断题（每小题3 分，满分 15 分）1线性变换 A)(VEndK可对角化，当且仅当 V 是 A 的特征子空间的直和。（）2n阶多项式矩阵)(A可逆的充分必要条件是)(A满秩。（）3设 A 为欧氏空间 V 上的对称变换，则A 的特征值都为实数，且属于A 的不同特征值的特征向量必正交。（）4设111111111A,000000003B，则 A与 B相合且相似。（）5设n阶矩阵BA、相似，则BA、具有相同的不变因子组，但反之不成立。（）二、填空题（每小题3 分，满分 15 分）1以原点为顶

2、点，准线为0102zyzyx的锥面方程是。2设3213213,yyyxxxRV，则 V 上双线性函数3323322111322),(yxyxyxyxyxf关于自然基321,的度量矩阵为。3设 3 阶方阵 A的三个特征值为 1，3，31，则|EA_。4设1)(23xxxxf，1)(4xxg，则它们的最大公因式2)(),(xgxf。532)1(0000001)(A的初等因子组为。三、计算题（每小题10 分，共 40 分）1.化简二次曲线方程：012241254222yxyxyx，并写出对应的坐标变换公式。文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:

3、CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q

4、2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7

5、HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F

6、5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10

7、 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C

8、2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J

9、2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J23 2设实对称矩阵1010111ttA与000020001B相似，（1）求 t 的值；（2）求正交矩阵 T，使得BATT1。文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H

10、10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU1

11、0C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S

12、3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编

13、码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A

14、1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A

15、7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G

16、4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J24 3设对称多项式：322232321221231221321),(xxxxxxxxxxxxxxxf（1）将),(321xxxf按字典序重新排列；（2）用初等对称多项式表示),(321xxxf。文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3

17、A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4

18、G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8

19、H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU

20、10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2

21、S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档

22、编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3

23、A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J25 4设212044010A，（1）求AE的正规形；（2）求 A的不变因子、初等因子、极小多项式以及若尔当典范形。四、证明题（每小题10 分，共 30 分）1.设)(),(xgxf互素，即1)(),(xgxf，试证明：若)()(|)(xhxgxf，则)(|)(xhxf。文档编码:

24、CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q

25、2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7

26、HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F

27、5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10

28、 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C

29、2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J

30、2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J26 2设 A是nm实矩阵，AAkEBT，试证明：（1）AAT是半正定矩阵；（2）当0k时，B为正定矩阵。3设)(m是矩阵 A的极小多项式，)(f是任一次数大于零的多项式，又)()

31、,()(mfd,试证明：（1）rank)(Adrank)(Af；（2）)(Af可逆的充要条件是1)(),(mf。文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10

32、C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3

33、J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码

34、:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1

35、Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7

36、 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2文档编码:CP3A1Q2A3A7 HW4G4F5C8H10 ZU10C2I2S3J2

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