找回密码
 立即注册
查看: 119|回复: 0

??????????

[复制链接]

0

主题

0

回帖

56

积分

管理员

积分
56
发表于 2019-9-13 23:46:11 | 显示全部楼层 |阅读模式
?????????????

??????????

????????

?. ?????

1.2.2??

?. ????

1. ?????????????????????

2. ????????????????????????

?. ???????

???????????????????????????????

?. ????

1. ????????

?1???????????n??????????m?0?m?n?????????????n????????m?????????

?2?????????????????

?????????????????????????????????? ????????????????????????

?????????????n??????????m ?m?n????????????????????????????????????

???????????????????????????????????????????????????????????????????????????????????????????????????????

2. ?????????

?n???????????m ?m?n????????????????n???????????m????????????C?????Combination??????????????

?????n?????????m??????????????? ????????n?????????m????????

?????????m???????????

????????????

????????????????

????????????????? ???????

?????

? ?

? ? ????????????????????????????????????????? ???? ?????

???????????????????????????? ??????????????????????????????????????

???????????????????

??????????1?

?2?

3. ????????????

???????????????????????????????????????????????????????????????

????????????????????????????????????????????????

????????????????????????????????????????????????

4. ???????????????????

?????????????????????????????????????????????????????

???????????????????????????????????????????????????

??????????????????????????????????????????????????????

?????????????

5. ???????16????12????

?1????????????????????????????????????????

?2?????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????

6. ?????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????

??????

?1. ????????????????????????4?????5???????4??????????????????????1????????????????

?????????????????????????????????????????

????????????????????????

?????????????????? ????????????????

???????????????????? ????

????????????????????

????????????????? 40?60?20?120 ??

????

?????????????

?????????????

?5?120?? ???????????????

????????????????126?1

???????????????1??????7???2??????? ??????????????????????????????????

??????????????????????????????????????

?1?????

?????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????

?2?????

??????????????????????????????????????????????????????4???????1???

???????1????????5???????????7??????2???

??????????????420??????????????????????????????????????????????????????????????????????????

?2. ?100??????98?????2??????100????????3??

?1???????????

?2????3?????1????????????

?3????3?????1????????????

????1???????????????100??????3??????????

???

?2??2??????1??????????98???????2???????????????3?????1???????????

?3???1??100??????3?????1????????1????2???????????2?????????1??????????????????????????3??????????????

????

??2????3???????1???????????????100????3????????3???????????????

???

?3. ??????????17????????????????????????????????????????????11????

?1???????17??????????????????

?2??????11??????????????????????????????????

??????1???????17????????????????????????17????????n????????????2???????????????????????????????????????????

????1

????????????????????????????

????

?2????????????????

?1???17??????11??????????

?2??????11????1???????

???????????????

?12376???? ?12376 ???? ????

?4. ?0?1?2?3?4?5?6?7?8?9?10?????3??????????10??????????????

?????????????????????????????10???????????

?????10?????3?????????????1????2??????????????10??????3????????? 10 ???????9????????0?1?3???0?l?5???0?2?4???1?2?3???0?l?7???0?2?6???0?3?5???1?2?5???1?3?4?? ??????????????

???????????????????????????????????????

?5. ????????????????0?1?2?3?4?5?6?7?8?9??????????????????????????????????

??????????????????

?1?0???????0?1????????????????????????0?1????

?2?????????????????????????????????? ??????????????0?1?????????????

?1??0??1??????????????????

?????????????????????????0?????????????0????????????

??? ??????????????????????????2??1??0?????????????

?3?0?1???????????????

?????????????96?144?192?432 ????

???????????????????????????????0

??????????????????????????480?48?432????

?6. ?a?b?c?d?e?f????????4??????????????a?b??a?b?????????

??????????????????????????????????

????

????????????????a?b?????a?b????????????????????????????????a?b??????????????

????????????

??

?????

?? ?? ????????????????????? ?????c?d?e?f ?????????????????????????????????????????????????a??b????????????????????

????

?????c?d?e?f ??????????????

?????a?b

?????????????????????????????

????? a ?? b ????? 2????????

????????????????????????????????

?7. 7???7??????????A?????B?????C?????D????????????

???????????7???7?????????

?1?????????4???????????????????????????????????????

???4???

???????2???????????3?????????????????1???????

72?? ?????????????3???????

?3?????????4???2????????????????

5????5??????????????????????????????????????????????????????????

?????????????????????????????????

?4?????????4???1???????????????

?????????????3????????

?? ??????????????????

??

?8. ?????????????10???

?1????????????????????????

?2???10?????????????????

??????1?????????????3???????3????????????????????2???????????????????????

????1???????????6???????????????????3????????????????????????????????????????????????

?2??????????? 10 ???????????????????????????? 4 ??????????????????? 4 ??????????????????????????????????4???4???????6???????????3??????4???????

?????6?????6????????????????????4?????5????????????????????????????????????????????????6?????5??????????????????????????

???????????141?114?255??

???????????????????????????????????????????????????????????????1??????????????

?9. ??7????10????????????1????????????? ???????????????????????????????????????????????????????????????

?????????

????????4??6????1?????

?? ?????2?????2??3????5????1???

????????????????

?????????????

??????????? ????????????????

C5?3??543?/?321? C6?2??65?/?21?

???2??? ??

CM?N ?? ????M????????N?????????????? ???N???????

P53?543 P66?654321

???2???

PMN??M???????N????????? ?N?M? ?M???

????????????n??????????m (m?n)?????????????????.????????????????.

?????????????????

????????????????????????????

????????????????????????????.

? ?????????????n??????????????????????.????????????????????????????????? ???????????????????????????????????????????????????????????????????.

???????????????n????????????????????????n???.??????????????????????????????????????????????????????n??????????????.

? ???????????????????????.????????n?????n????????????????????????????????? ???????????????????????????????????n???????????????????????????????????? ??????????????????????????????.

?????????????????????

1??????????????????

????

????

????????????????????

???????????????????????????????????????????????.

???????????????????.

?????????????????????????????????????.

???????????????????????????????????????????.

2????????????????????

????

?????

?????????????????.

3? ??????????????????????????????????????????????????????????????????????????????????????.

*****************************************************************************

??10????????

1???????????????11????????? C ?

(A)25? (B)26? (C)36? (D)37?

------------------------------------------------------

????

????????? ???????????????????

???????11

???????????22 ???????11? ??????????

???????????????

???11???????????11?10?9?8?7?6???????1

???10 ??????????10?9?8??????2?

????1 ?????????11????11???????????11?10???? ???9 ?????????? 9?8?7????????3

????? ????????

???? ???11?9?7?????1??1?11?62?36

2?

?1??4????3??????????????

------------------------------------------------------------

???? ?????3??????????????????????1????3??????????2????3????????4?? ?????????? ?3333?3^4

?2?3?????4??????????????????

-------------------------------------------------------------

??????????? ??????????4?????????????? ????????????????????????????4??????2????4??????????????4???????????????? ? 444?4^3

?3?8????????3???3??????????????????? -------------------------------------------------------------

????????

?????????3?? ??????? C8?3?56?

???????3???? P33?6?

? ???????????P33 ?????????????3????????????2???????2???????????????????321 ????????????????????? 1?2?3?4??????????4??? ???????????? ?P????????????????? ????????????????

???????566?336

3?

???????????.

?1???????????????????????? ?3600?

---------------------------------------------

????

???????2???

???? ???? ???????5??????? ?C5?1?5

???? ???6?????P?? P66?720

?? ???7205?3600

?2????????????????????? ?1440?

-------------------------------------------------

????

???????????? ??????? C2?1?2

???????6????P?? P66?720

???? 7202?1440

?3??????????????????????????? ?3120?

---------------------------------------------------

?????????????

????????????? ?????????

??3??? ??4??????? C4?1?4? ??6??? ?????? ?????2????5???? ??5??????5?????P?? ?5P55?5120?600 ???4600?2400

?2???????????? ???????

? ???6?????P66?720

?????????????????????? ? 2400?720?3120

?4???????????????? ?1440?

-----------------------------------------------

??????????? 2?????7?????6?????????

?1? ??? C6?1?6

?2? ????2???????? ?P22?2

?????????????26?12

???5?????P55????120

? ????? 12012?1440

?5???????????????????????????2520?

-------------------------------------------------------

????

???????,?????????????? ???????????????? ??????????? ????P77?5040 ,??????????? ???????????50402?2520

4????0?1?2?3?4?5??????????.

?1??????????? ?300?

--------------------------------------------------------

???? ??? ???????? ???? ???0? ???5????

???3?????P53???543?60 ???? 605?300

?2??????????? ?1631?

---------------------------------------------------------

??????????????????

???

1??? C6?1?6

2??? C5?2P22?C5?1P11?25

3??? C5?3P33?C5?2P222?100

4??? C5?4P44?C5?3P333?300

5??? C5?5P55?C5?4P444?600

6??? 5P55?5120?600

???1631

?????????? ???2??? C5?2P22?C5?1P11?25

????0?5?????2??? ?C5?2P22 ??????????0?5????????0???2?? ?C5?1P11 ??0??????? ???????1???

?3???????????? ?288?

---------------------------------------------------

?????????0 ?????1?3?5 ? ??????????? ? 34P44?1224?288

?4?????????25??????? ?21?

----------------------------------------------------

???? ??25???4???2???

?2??25? 33?9

?2??50? P42?43?12

??9?12?21

?5????????201345???? ?479?

------------------------------------------------

????

???201345 ??6??? ?????2???6?? ????????????2?6??????

4P55?4120?480 ?? 201345??? ??201345???480?1?479

?6????????????. ?32640?

---------------------------------------------

??????????????

??????M1=100P52(5+4+3+2+1)

??????M2=4410(5+4+3+2+1)

??????M3=44(5+4+3+2+1)

?? M?M1+M2+M3=32640

5???????100?????2?????????5?????.

?1????????????????? ?152096?

???? ????????5???3???? ????98???????? ?? ?C2?2C98?3?152096

?2????????????????? ?7224560?

????????????2?????1??????98????????4? C2?1C98?4?7224560

?3??????????????? ?67910864?

???????98???????5? C98?5?67910864

?4?????????????????? ?7376656?

???????? ????????????? ?????1??

C100?5?C98?5?7376656

?5?????????????????? ?75135424?

???????????????2?????????????????

C100?5?C98?3?75135424

6??4????5???????????3?????????????????1??????????? ?

(A)140? (B)84? (C)70? (D)35?

--------------------------------------------------------

????????????

?????????

1.???

?1?1? ??????????????????????????3?????2??????????????????????????????

????????????3????????2????????????????????????3+2=5(1?2) ????????????????????4 ?, ???2?????3?????????????????

??????????3???????????????4???????????????2???????????

????3???????????????4+2+3=9

(????)?????????????n????????????m1???????????????m2????????????n?????mn

N?m1?m2???mn

3.???

?2?1? ????????????????????????????????????????3?????2?????????????????????????

??:??????3????????2?????????????????????????????3?2?6???????????

???????1????1???1????2???2

????1?

??2????2???3????1???3?????2?2? ??,?A??B?????2???B??C?????3A??B??C?????????????

??: ?A?? B??C??2?, ???, ?A??B??2???, ???, ?B??C??3???,

?? ?A?? B??C??? 23 = 6 4.??????(????)??????????????n?????????m1????????????m2????????????n??mn???????????????N?m1?m2???mn

5.????

??????(

????)?????????n?????????????????????????????????????????????????????????????????????????????????????????????.????????????????????????.

??????(????)????????????n??????????????????????????????????????

????????????????????????????????????????????????????????????????????????m????????????????????????????.

?????????????????????????

????????: N?m1?m2???mn, N?m1?m2???mn

?????????????????????????????????????????????????????????????????

?????????????????????????????????????????

?????????????????????????????????????????

?1?????1???4??????????2???3?????????3???2????????

?1???????1?????????????

?2??????1?2?3???1?????????????

???1???????1????3?????1??????1??1???????4?????2????2??1??????3?????3??????3??1???

???24+3+2=9?????????1????9???????

?2??????1?2?3???1???????3???????1???1??1???????4?????2???2??1??????3?????3???3??1??????21?2?3???1???????????4?3?2?24????????1?2?3???1????24?2?????????4?????????????0?9?10?????4?????????????????

????????????10?????????????4???????1????????????????N?10?10?10?10?10000?

???????10000?3????????3??????2???????????????????? ???3?????1?????1??????????????1???????1?????????????1???????3?????????????????????2N?3?2?6??6?????????? ?? ??

??

??

??

??

??

??

????3??????2??????????6?4??????????????3?????4???????????????4?????5??????????????????????????????????

?????????????

????????????????????3?????4???3?4?12?? ????????????????????4?????5???4?5?20?????12?20?32????????????????????????????????????????????????????????????????????????????????????

1 . ??????6????????????5(1) ?????????????????

(2)?????????????????????????

??(1)?????????????????????6???????????6?????????5???????????5?????????????? 5+6=11 ?????(2) ?????????????????????????????????????6????????????????556=302. ???????5?????4 (1)?????????, ??????????

(2) ?????????????????????????????

??(1) ???????????????????2????

???????????????? ??m1 = 5???????

???????????????? ??m2 = 4??????

??, ??????, ??????????N = 5 + 4 = 9 (2) ???????????????????????, ??2???, ???? ???????? m1= 5????

???? ????????m2= 4????

?????????, ?????????? N = 5 4 = 20 ?

??1??? ????????????????????? ???????????????? ?3. ??A?B=?1,2????A?B??????

???:A?B???1,2????:?,?1?,?2?,?1,2?,?????????????,?????A?B????????,????????:

1)?A=??,??B=?1,2?,?1??;

2)?A=?1??,B=?2??B=?1,2?,?2??;

3)?A=?2??,B=?1??B=?1,2?,?2??;

4)?A=?1,2??,B=???1???2???1,2?,?4??.

????????,??1+2+2+4=9??.

???: ?A?B?????,??????(1?2)??,????????????,????????:?1??1,???A???B,????B???A,??????A???B,?3???;?2??2,???3???.??????????33=9???,?????9??.

4.???????2????,???????3????;???????4????, ?

??????2

???23?4

?? ?

???????

????????????n????????????m1???????????????m2????????????n?????mn??????? N?m1?m2???mn2.????????????????????n?????????m1????????????m2????????????n??mn???????????????N?m1?m2???mn ???????????????????,?????????????????????,????:??????????????,??????????,???????????,?????????????????;??????????????,????????????,????????????????????????,???????????????? ????????:1.????????????2.???????????,??????????????3.???????

??1???????3??????2??????????????????????????????????????????????????

???????????????3????????2???????????????????????????????????????????????6????????????? ?? ?? ??????????????2??a,b,c,d???????????3????????????????????

????????????????????????????4??????1???4???????????????????3???????3????????????


???????????????????
?????http://www.850500.com/news/65747.html
?????,??!
您需要登录后才可以回帖 登录 | 立即注册

本版积分规则

Archiver|手机版|小黑屋|Discuz! X

GMT+8, 2026-3-5 23:06 , Processed in 0.406312 second(s), 19 queries .

Powered by Discuz! X3.5

© 2001-2025 Discuz! Team.

快速回复 返回顶部 返回列表