(完整word版)离散数学试卷及答案(9).pdf

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(完整word版)离散数学试卷及答案(9).pdf

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,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、,54xx；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 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（）。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: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 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 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、（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 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）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: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）61 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 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

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