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1、1 离散数学 1-5 章练习题答案第 2，3 章(数理逻辑)1.答：（2），（3），（4）2.答：（2），（3），（4），（5），（6）3.答：（1）是，T （2）是，F （3）不是（4）是，T （5）不是（6）不是4.答：（4）5.答：P，QP 6.答：P(x)yR(y)7.答：x(R(x)Q(x)8、c、P(P(QP)解：P(P(QP)P(P(Q P)P P 1(主合取范式)m0 m1m2 m3 （主析取范式）d、P(P(Q(QR)解：P(P(Q(QR)P(P(Q(QR)PQ R M0 (主合取范式)m1 m2m3 m4 m5 m6 m7(主析取范式)9、2 b、P(QR)，R(QS)=P
2、(QS)证明：（1）P 附加前提（2）Q 附加前提（3）P(QR)前提（4）Q R （1），（3）假言推理（5）R （2），（4）假言推理（6）R(QS)前提（7）Q S （5），（6）假言推理（8）S （2），（7）假言推理d、PQ，QR，RSP 证明、(1)P 附加前提（2）PQ 前提（3）Q （1），（2）假言推理（4）QR 前提 (5)R （3），（4）析取三段论 (6)RS 前提（7）R （6）化简（8）RR 矛盾（5），（7）合取所以该推理正确10.写出x(F(x)G(x)(xF(x)xG(x)的前束范式。解：原式x(F(x)G(x)(x)F(x)(x)G(x)(x)(F(x)G(
3、x)(x)F(x)(x)G(x)(x)(F(x)G(x)G(x)(x)F(x)文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10
4、V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7
5、S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN1
6、0D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L
7、2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI
8、1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B
9、6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L73 (x)(F(x)G(x)(x)F(x)(x)(F(x)G(x)(y)F(y)(x)(y
10、)(F(x)G(x)F(y)（集合论部分）1、答：(4)2.答：32 3.答：（3）4.答：（4）5.答：（2），（4）6、设，是三个集合，证明：a、A(B C)(AB)(AC)证明：(AB)(AC)=(AB)（AC）=(AB)（AC）=(ABA)(ABC)=ABC=A（BC）=A（B-C）b、(AB)(AC)=A(BC)证明：(A-B)(A-C)=(AB)(AC)=A(B C)=A（BC）=A-(BC)（二元关系部分）1、答：（1）R=,(2)R1=,2.答：R R=1,1，1,3 ，2,2，2,4 R-1=2,1，1,2 ，3,2 ，4,3 3.答：R=,文档编码:CF10V3O8P7S4
11、 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D
12、5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y
13、4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I
14、2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L
15、7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:
16、CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3
17、O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L74 4.答：R的关系矩阵=000000001000000001 R1的关系矩阵=0000000100000000015、解：（1）R=,;MR=001101000;它是反自反的、反对称的、传递的；（2）
18、R=,;MR=011101110;它是反自反的、对称的；（3）R=,;MR=100001110;它既不是自反的、也不是反自反的、也不是对称的、也不是反对称的、也不是传递的。6、解：R诱导的划分为 1,5,2,4,3,6。7画出下列集合关于整除关系的哈斯图.(1)1,2,3,4,6,8,12,24.(2)1,2,.,9.并指出它的极小元，最小元，极大元，最大元。文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I
19、2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L
20、7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:
21、CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3
22、O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4
23、 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D
24、5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y
25、4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L75 在图（1）极小元，最小元是1，极大元，最大元是24；在图（2）中极小元，最小元是1，极大元是 5，6，7，8，9，没有最大元。第 5 章函数1.解(1)，的定义域为A，值域为 a，c。又由于它满足单值性，所以它是函数，但因为1 和 2 都对应 a，它不是单射，a，cB，它不是满射。(2)，的定义域为A，值域是 B。又由于它满足单值性，所以它是函数，且是单射。满射和双射。(3)，的定义域为A，值域是B
26、。由于它不满足单值性，所以它不是函数，更不是单射、满射和双射。(4)，的定义域为A，值域是 b。由于它满足单值性，所以它是函数，因为 1、2 和 3 都对应 b，所以它不是单射，由于bB，所以它不是满射。2.解(1)不同的函数共nm个。(2)显然当|m|n|时，存在单射。(3)显然当|n|m|时，存在满射。(4)显然当|m|n|时，才存在双射。3.解因为g f(x)f(g(x)f(3x1)3(3 x1)9x3，h g(x)g(h(x)g(3 x2)3(3 x 2)19x7，所以 g f|xZ，h g|xZ。3 2 5 8 6 4 7 9 1(2)3 225 8 12 4 24 16(1)文档编
27、码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10
28、V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7
29、S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN1
30、0D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L
31、2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI
32、1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B
33、6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L76 文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文
34、档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF
35、10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8
36、P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 H
37、N10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F
38、4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4
39、ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7文档编码:CF10V3O8P7S4 HN10D5F4L2Y4 ZI1I2G2B6L7