《计算机数学基础》模拟试题.pdf

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1、科目序号:C 浙江广播电视大学开放教育期末考试计算机数学基础模拟试题一、填空题(每小题2 分,共 10 分)1、要使472135.420的近似值的相对误差限小于0.2%,则近似值至少要取位有效数字。2、线性方程组 AX=B能用高斯消去法求解的充要条件是。3、数值积分中的抛物线公式的代数精度为次。4、过点(0,1),(1,2),(2,3)的牛顿插值多项式为。5、求积公式满足条件,则称该求积公式是高斯勒让德求积公式。二、单项选择题(每小题3分,共 15 分)1、数6931478.0*x的有 4 位有效数字的近似值是()nkkkbaxfAdxxf0)()(A、0.69314 B、0.6930 C、0

2、.6932 D、0.69315 2、用简单迭代法求方程的根,迭代函数为)(x则迭代收敛的充分条件是在有根区间内,满足()。A、1)(xB、1)(x C、1)(x D、1)(x3、解微分方程初值问题的二阶龙格库塔法的局部截断误差是()。A、B、C、D、4、在节点个数相同的情况下,牛顿科茨求积公式与高斯求积公式相比较,下列结论正确的是()。A、牛顿科茨公式要求节点等距,其代数精度较高;B、高斯求积公式要求节点等距,其代数精度较高;C、高斯求积公式不要求节点等距,其代数精度较高;D、牛顿科茨公式不要求节点等距,其代数精度较低;5、通过四个互异节点的插值多项式P(x),只要满足(),则P(x)是不超过

3、一次的多项式。A、初始值y0=0 B、一阶均差为0C、二阶均差为0 D、三阶均差为0)(5hO)(4hO)(3hO)(2hO文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 H

4、V6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3

5、C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档

6、编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M

7、10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6

8、ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7

9、E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6

10、B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9三、计算题(每小题15 分,共 75 分)1、用列主元消去法求解线性方程组1421633142321321321xxxxxxxxx。2、设数据对如下 x 1 3 4 5 6 y 10 6 4 2 1 试构造 f(x)的牛顿插值多项式Pn(x)。3、用复化抛物线公式计算积分2.10)(dxxf的值,计算过程中保留4 位小数。其中 f(x)的值由下表给出x 0 0.2 0.4 0.6 0.8 1.0 1.2 f(x)1 1.0195 1.0727 1.

11、1442 1.2113 1.2484 1.3000 4、用牛顿法求方程x3x210,在2,1之间的一个近似根,计算过程中保留 3 位有效数字。5、用改进欧拉法的平均形式公式,取步长h=0.2,求解初值问题)4.0(01)0(2xyxyy,计算过程中保留 4 位小数。计算机数学基础模拟试题参考答案文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6

12、P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9

13、X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码

14、:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10

15、N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN

16、10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1

17、V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2

18、 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9填空题(每小题 2 分,共 10 分)1、3;2、A 的各阶顺序主子式不为0;3、3;4、1)(P2xx;5、a=-1,b=1,且具有 2n+1 次代数精度;一、单项选择题(每小题3 分,共 15 分)1、A;2、B;3、C;4、C;5、C;二、解答题(每小题 15 分,共 75

19、 分)1、解:320035010163334210350101633142114121633142116331412bA(10 分)于是有同解方程组:3235163332321xxxxx回代得解:233x,352x,351x因此原线性方程组的解为:TX23,35,35(15 分)(1)5)(4)(3)(1(301)1(210)(N(1301)6543,1(0)543,1(0)43,1(2)3,1(.24:因 此 所 求 牛 顿 多 项 式 为,解:经 计 算 得xxxxxxffff文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X

20、6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:

21、CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N

22、9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN1

23、0H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V

24、10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2

25、HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J

26、3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9)(153878.1)2484.11442.10195.1(4)2113.10727.1(

27、23000.1132.0)(.32.10分解:dxxf4.解:f(x)=x3x21,26)(23)(2xxfxxxff(1)=1,f(2)=3,有根区间取 1,2。(2 分)迭代公式为:)()(1nnnnxfxfxx(n=1,2,)(5 分),因为030)2()2(ff故取 x0=2(8 分)63.1832231020203001xxxxxx49.163.1263.13163.163.163.12232x47.149.1249.13149.149.149.12233x47.147.1247.13147.147.147.12234x因此所求近似根为:x1.47(15 分)5.解:4.02.010

28、2.02),(2100 xxyxhxyyxf,(2 分)欧拉平均形式公式为:)(21),(),(11cpkpkkckkkpyyyyxhfyyyxhfyy(5 分)本题迭代公式:)(214.04.011cpkpkkckkkpyyyyxyyyxyy文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档

29、编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M

30、10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6

31、ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7

32、E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6

33、B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:C

34、G8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9

35、P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9(8 分)当 k=0 时,92.012.04.014.0,1104.014.010000pcpyxyyyxyy96.0)92.01(5.0)(5.0)2.0(1cpyyyy因此(12分)当 k=1 时,8187.08832.04.04.096.04.0,8832.096.02.04.096.04.021111pcpyxyyyxyy

36、8510.0)8187.08832.0(5.0)(5.0)4.0(2cpyyyy因此(15 分)文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN

37、10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1

38、V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2

39、 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8

40、J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9

41、文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H1

42、0M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9文档编码:CG8J3C9X6B2 HV6P7E1V10H6 ZN10H10M10N9P9

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