(完整word版)离散数学试卷及答案(11).pdf

离散数学试卷（十一）68 一、填空 20%（每小题2 分）1、称为命题。2、命题 PQ的真值为0，当且仅当。3、一个命题含有4 个原子命题，则对其所有可能赋值有种。4、所有小项的析取式为。5、令P（x）：x 是质数，E（x）：x 是偶数，Q（x）：x 是奇数，D（x，y）：x 除尽y.则)(),()(yEyxDyxEx的汉语翻译为。6、设 S=a，b,c 则 S6的集合表示为。7、P（P()）=。8、BA=。9、设 R为集合 A上的关系，则t（R）=。10、若 R 是集合 A上的偏序关系，则 R满足。二、选择 20%（每小题2 分）1、下列命题正确的有（）。A、若fg,是满射，则fg是满射；B、若fg是满射，则fg,都是满射；C、若fg是单射，则fg,都是单射；D、若fg单射，则f是单射。2、设 f，g 是函数，当（）时，f=g。A、)()(xgxfdomfx都有；B、gfdomfdomg且；C、的表达式相同与gf；D、rangefrangefdomfdomg,。3、下列关系，（）能构成函数。A、10,|,212121xxNxxxxf且；B、,|,2212121xxRxxxxf；C、,|,122121的素数的个数为小于 xxNxxxxf；离散数学试卷（十一）69 D、|,Rxxxf。4、下列函数（）满射；（）单射；（）双射（）；一般函数（）。A、2)(,:2xxfNNf；B、)3(mod)(,:xxfNNf（x除以 3 的余数）；C、奇数集偶数集xxxfNf01)(,1,0:；D、52)(,:xxfRRf。5、集合 A=1，2，3，4上的偏序关系为，则它的 Hass 图为（）。6、设集合 A=1，2，3，4，5 上偏序关系的Hass图为则子集 B=2，3，4 的最大元（）；最小元（）；极大元（）；极小元（）；上界（）；上确界（）；下界（）；下确界（）。A、无，4，2、3，4，1，1，4，4；B、无，4、5，2、3，4、5，1，1，4，4；C、无，4，2、3，4、5，1，1，4，4；D、无，4，2、3，4，1，1，4，无。7、设 R，S是集合 A 上的关系，则下列（）断言是正确的。A、SR,自反的，则SR是自反的；B、若SR,对称的，则SR是对称的；文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7离散数学试卷（十一）70 C、若SR,传递的，则SR是传递的；D、若SR,反对称的，则SR是反对称的8、设 X 为集合，|X|=n，在 X 上有（）种不同的关系。A、n2；B、2n；C、n22；D、22n。9、下列推导错在（）。)(yxyxP)(yzyUS)(zCzES)(xxxUGA、；B、；C、；D、无。10、“没有不犯错误的人”的逻辑符号化为（）。设 H（x）：x 是人，P（x）：x 犯错误。A、)()(xPxHx；B、)()(xPxHx；C、)()(xPxHx；D、)()(xPxHx。三、命题演绎 28%1、（10 分）用反证法证明RSSQRPQP)()()(。2、（8 分）用 CP 规则证明)()(),(SQPSQRRQP。3、（10 分）演绎推理：所有的有理数都是实数，所有的无理数也是实数，虚数不是实数。因此，虚数既不是有理数，也不是无理数。四、8%将)()(),(xRzzQyxyPxwff化为与其等价的前束范式。五、8%A=a,b,c,d，R=,为 A 上的关系，利用矩阵乘法求R 的传递闭包，并画出 t（R）的关系图。文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7离散数学试卷（十一）71 六、证明 16%1、（8 分）设 A=1，2，3，4，在P（A）上规定二元关系如下：tstsR,|,P（A）|)|(|ts证明 R是P（A）上的等价关系并写出商集P（A）/R。2、（8 分）设 f 是 A到 A的满射，且fff，证明 f=IA。一、填空 20%（每小题 2 分）1、能够断真假的阵述句；2、P 的真值为1，Q 的真值为0；3、24=16；4、永真式；5、任意两数x、y,如果 x 是偶数且能除尽y，则 y 一定是偶数；6、S110=a,b；7、,；8、)()(BABA；9、1iiR；10、自反性、反对称性、传递性二、选择20%（每小题2 分）题目1 2 3 4 5 6 7 8 9 10 答案A、D B C、D C、D；A、D；D；B C A A D C B、D 三、命题演绎28%1、（10 分）证明：)(RSP（附加前提）RSTE QPP QPTE SQP SPT E PSTE)()(RPRSTI 文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7离散数学试卷（十一）72 RPT I RPP RPTE)(RPTE FT I 2、（8 分）PP（附加前提）)(RQPP RQT I)(SQRP)(SQQT I SQTE)(SQPCP 3、证明：设Q（x）：x 是有理数，R(x)：x 是实数，N(x)：x 是无理数，C(x)：x 是虚数。前提：)()(xRxQx)()(xRxNx)()(xRxCx结论：)()()(xNxQxCx)()(xRxQxP)()(cRcQUS)()(xRxNxP)()(cRcNUS)()(xRxCxP)()(cRcCUS)()(cCcRTE)()(cCcQT I 文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7离散数学试卷（十一）73)()(cCcNT I)()()()(cCcNcCcQT I)()()(cNcQcCTE)()()(xNxQxCxUG四、8%解：)()(),()()(),()()(),()()(),(xRzQyxPzyxxRzQzyxPyxxRzzQyxPyxxRzzQyxPyx五、8%解：00001100001011000000001011000010000000101100001000000010110000102RRRRMMMMRRRRMMMM00000010110000100000001011000010000011000010110023234000011000010110000000010110000100000001011000010RRRRMMMM0000111011101110432)(RRRRRtMMMMM文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7离散数学试卷（十一）74 所以 t（R）=,关系图为六、证明16%1、（8 分）证明：sP（A），由于|ss，所以Rss,，即 R 自反的。ts,P（A），若Rts,，则|stts，Rst,，R 是对称的。uts,P（A），若：RutRts,且，即：|utsRusus,|,|所以 R 是传递的。由知，R 是等价关系。P（A）/R=R，1R，1，2R，1，2，3R，1，2，3，4R2、（8 分）证明：因为f 是满射，所以Aa，存在Aa1使得aaf)(1，又因为f 是函数，所以)()(1afaff即)()(1afaff由fff所以)()(1afaf，又aaf)(1，所以aaf)(由 a 的任意性知：f=IA。文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7文档编码:CR9W1X8V4H9 HN1Q3F9Z2C10 ZD8M5P3B8C7