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1、离散数学试卷(九)55 一、填空 30%(每空 3分)1、选择合适的论域和谓词表达集合A=“直角坐标系中,单位元(不包括单位圆周)的点集”则 A=。2、集合 A=,的幂集P(A)=。3、设 A=1,2,3,4,A 上二元关系R=,画出 R 的关系图。4、设 A=,B=,则BA=。BA=。5、设|A|=3,则 A 上有个二元关系。6、A=1,2,3上关系 R=时,R 既是对称的又是反对称的。7、偏序集RA,的哈斯图为,则R=。8、设|X|=n,|Y|=m 则(1)从 X 到 Y 有个不同的函数。(2)当 n,m 满足时,存在双射有个不同的双射。9、2是有理数的真值为。10、Q:我将去上海,R:我
2、有时间,公式)()(QRRQ的自然语言为。11、公式)()(QPPQ的主合取范式是。12、若,21mSSSS是集合 A 的一个分划,离散数学试卷(九)56 则它应满足。二、选择 20%(每小题2 分)1、设全集为I,下列相等的集合是()。A、|是偶数或奇数xxA;B、)2(|yxIyyxB;C、)12(|yxIyyxC;D、,4,4,3,3,2,2,1,1,0|xD。2、设 S=N,Q,R,下列命题正确的是()。A、SSNN2,2则;B、SNSQQN则,;C、RNRQQN则,;D、SNSN则,。3、设 C=a,b,a,b,则SSCSCS与分别为()。A、C 和 a,b;B、a,b 与;C、a,
3、b 与a,b;D、C 与 C 4、下列语句不是命题的有()。A、x=13;B、离散数学是计算机系的一门必修课;C、鸡有三只脚;D、太阳系以外的星球上有生物;E、你打算考硕士研究生吗?5、RQP)(的合取范式为()。A、RQP)(;B、)()(RQRP;C、)()()()()()(RQPRQPRQPRQPRQPRQPD、)()()()(RQPRQPRQPRQP。6、设|A|=n,则 A 上有()二元关系。A、2n;B、n2;C、22n;D、nn;E、nn2。7、设 r 为集合 A 上的相容关系,其简化关系图(如图),则 I r 产生的最大相容类为();A、,21xx;B、,321xxx;C、,5
4、4xx;D、,542xxxII A的完全覆盖为()。文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D
5、4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1
6、文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N
7、6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V
8、1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5
9、G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S
10、6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1离散数学试卷(九)57 A、,54321xxxxx;B、,5432121xxxxxxx;C、,542321xxxxxx;D、,54321xxxxx。8、集合 A=1,2,3,4上的偏序关系图为则它的哈斯图为()。
11、9、下列关系中能构成函数的是()。A、)10(),(|,yxNyxyx;B、)(),(|,2xyRyxyx;C、)(),(|,2xyRyxyx;D、)3mod(),(|,yxIyxyx。10、N 是自然数集,定义3mod)()(,:xxfNNf(即 x 除以 3 的余数),则 f 是()。A、满射不是单射;B、单射不是满射;C、双射;D、不是单射也不是满射。三、简答题15%1、(10 分)设 S=1,2,3,4,6,8,12,24,“”为 S 上整除关系,问:(1)偏序集,S的 Hass 图如何?(2)偏序集,S的极小元、最小元、极大元、最大元是什么?2、(5 分)设解释 R 如下:DR是实数
12、集,DR中特定元素a=0,DR中特定函数yxyxf),(,特定谓词yxyxF:),(,问公式),(),(),(zyfzxfFyxFzyxA的涵义如何?真值如何?文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L
13、5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D
14、4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1
15、文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N
16、6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V
17、1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5
18、G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1离散数学试卷(九)58 四、逻辑推理10%或者逻辑难学,或者有少数学生不喜欢它;如果数学容易学,那么逻辑
19、并不难学。因此,如果许多学生喜欢逻辑,那么数学并不难学。五、10%设 X=1,2,3,4,5,X 上的关系R=,,用 Warshall方法,求R 的传递闭包t(R)。六、证明15%1、每一有限全序集必是良序集。(7 分)2、设fg是复合函数,如果fg满射,则g也是满射。(8 分)五、填空 20%(每小题 2 分)1、)1(),(|,22yxRyxyxA;2、,;3、见右图;4、,,,、,;5、29;6、,;7、,AI;8、mn、n=m、n!;9、假;10、我将去上海当且仅当我有空;11、)()()()(QPQPQPQP;12、ASjiSSimiji1)2()()1(。六、选择20%(每小题2
20、分)题目1 2 3 4 5 6 7 8 9 10 答案A、D C B A、E B、D C B、D;C A B D 七、简答题15%文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4
21、ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档
22、编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L
23、5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D
24、4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1
25、文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N
26、6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1离散数学试卷(九)59 1、(10 分)(1)=,,,SIcovS=,Hass图为(2)极小元、最小元是1,极大元、最大元是24。2、
27、(5 分)解:公式A 涵义为:对任意的实数x,y,z,如果 xy 则(x-z)(y-z)A 的真值为:真(T)。八、逻辑推理10%解:设 P:逻辑难学;Q:有少数学生不喜欢逻辑学;R:数学容易学符号化:RQPRQP,证:QPP QPTE PRP QRT I RQTE 九、(10 分)文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9
28、H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP
29、5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY1
30、0J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9
31、R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:
32、CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 H
33、Y10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 Z
34、W9R9H3E5G1离散数学试卷(九)60 解:0000000010100000100000011RMi1 时,RM1,1=1,A=RMi2 时,A1,2=A4,2=1 A=0000001010100000100001011i3 时,A 的第三列全为0,故 A 不变i4 时 A1,4=A2,4=A4,4=1 A=0000001010100000101001011i5 时,A 的第五行全为0,故 A 不变。所以 t(R)=,。十、证明 15%1、(7 分)证明:设,21naaaA,,A全序集。若,A不是良序集,那么必有一子集)(BAB,在 B中不存在最小元素,由于B是一有限集合,故一定可找出两元
35、素x,y是无关的,由于,A是全序集。Ayx,所以 x,y必有关系,矛盾。故,A必是良序集。2、(8 分)证明:设ZXfgZYgYXf:,:,:,Zz由于ZXfg:满射,故必有Xx使得zxfg)(,由复合函数定义知,存在Yy使得yxf)(,又因为文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6
36、L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1
37、D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G
38、1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6
39、N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6
40、V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E
41、5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1离散数学试卷(九)6
42、1 g 是函数,必对任Yy,必Zz使zyg)(,任每个z 在 g 作用下都是Y 中元素的一个映象,由Z 的任意性,所以g 是满射。文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4
43、ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档
44、编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L
45、5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D
46、4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1
47、文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1文档编码:CP5M8S6N6L5 HY10J7U6V1D4 ZW9R9H3E5G1
限制150内