ʱ : 数学选修2-3(排列组合二项式定?练习?- 百度文库ϿʼĶ
ѧѡ2-3϶ʽϰ
һѡ 15λͬѧμС飬ÿλͬѧޱеһС飬ͬıУ
A10 B20 C25 D32
1D 5λͬѧμС飬ÿλͬѧޱеһС飬ͬ
5
ı2=32֣ѡD
2סҡ3λͬѧѡγ̣4ſγУѡ2ţҡѡ3ţͬѡ( )
A36 B48 C96 D192
2C סҡ3λͬѧѡγ̣4ſγУѡ2ţҡѡ3
233C?C?C?96֣ѡC
ţͬѡ4443ijеպ2Ӣĸ4ɣ4ֻͬպ빲У
?C?
12264A10
AA¡
14?C26?A102242610
?C?10á
12264
24A1026ġ
3A ijеպ2Ӣĸ4ɣ4ֻͬպ빲
ѡA
45λͬѧѡ4λͬѧ塢ղμӹÿһ죬Ҫ
2˲μӣո1˲μӣͬѡɷУ A 40 B60 C100 D120
4B5λͬѧѡ4λͬѧ塢ղμӹÿһ죬Ҫ2˲μӣո1˲μӣͬѡɷ
C52A32?60֣ѡB
5֪
2An=132n = B
A11 B12 C13 D14
6A8ԪأB3ԪأA?BIJͬӳ乲У A A3 B8 C24 D3
7200Ʒ3Ʒڴȡ52Ʒij鷨УB
23233254514CCCC?CC(C-C)(C?C3198319731972001972003C197) A B() C D
838Ǹ߿һ¼ȡһ־Ը ־ Ը һ־Ը ڶ־Ը ־Ը ѧ У 1 2 3 ר ҵ 1רҵ 1רҵ 1רҵ 2רҵ 2רҵ 2רҵ 4صԺУÿԺУ3 רҵΪѡҹ涨ѧ
1
УûظͬһѧУרҵҲûظĻ㽫вͬдǣD A43?(A3)3 B43?(C3)3 CA4?(C3)3 DA4?(A3)3
95ҽ4Ůҽѡ3ҽһҽСֶӣҪСŮҽУͬӷ
A70 B80 C100 D140 Ϊ21Ů12Ů࣬C5?C4?C5?C4=70֣
ԣȷֲIJԡ
105ͬѧ3Ůͬѧ6ͬѧ2ŮͬѧӼסиѡ2ͬѧѡ4ǡ1ŮͬѧIJͬѡУ A150 B180 C300 D345
4ǡ1ŮͬѧΪ֣1ŮͬѧԼ飬飬
112211CCC?CC6C2 ѡ 5365вͬѡ
2112223232ԣȷֲIJԡ
1110ѧҵѡ3˵δ峤ס 1ѡ ûѡIJͬѡΪ
A85 B56 C49 D28 ࣬ȫѡУC2?C7 ѡ һѡУC2?C7ֲͬѡC2?C7+C2?C7=49ֲͬѡ
ԣ
1ԪȰŵIJԣ 2ȷֲIJ.
127ѡ5˵10ͬͨڵ5вμӽͨЭܹͬѡɷУ D AC7A10A5 BA7C10P5 CC10C7 DC7A10 13(1?2)5?a?b2( a, b Ϊ),a + b= ( ) C
A, 45 B, 55 C, 70 D, 80
12345(1?2)5?1?C52?C5(2)2?C5(2)3?C5(2)4?C5(2)5
55555555552112211214
?2?x?10?a0?a1x?a2x2?????a10x10,
?a0?a2?????a10?2??a1?a3?????a9?2ֵΪ( )
A0 B-1 C1 D14C : ɵx?1ʱ,
?2?x?1010?a0?a1x?a2x2?????a10x10ɵ:
?2?1??a0?a11?a212?????a10110?a0?a1?a2?????a10
2
x??1ʱ,
?2?1?10?a0?a1?a2?a3?????a10?a0?a1?a2?????a10
??a0?a2?????a10?2??a1?a2?????a9?2[Դ:ѧ,,]
??a0?a1?a2?????a10??a0?a1?a2?a3?????a10?
??2?1??2?1????2?1??2?1??101010?1.
1512345ûظ֣12ڵλ_____
542A?AA2?72. 5415⣺
16Ӱί5Աѡ3ֱΰ༶ѧϰίԱίԱίԱмסҶ˲ܵίԱͬѡ_____֡
1636 Ӱί5Աѡ3ֱΰ༶ѧϰίԱίԱίԱмסҶ˲ܵίԱȴ3ѡ1˵ίԱٴ4ѡ2˵ѧϰίԱίԱͬѡC3?A4?3?4?3?36
317輯A={12310}A3ԪصӼĸΪn= . 1. C10=120
1218躬8ԪصļϵȫӼΪS3ԪɵӼΪTΪ
SֵT32 71964ŮУѡ3Ҫٰ1Ůͬѡ___
֡ 4. 100 20 (1?x)3+(1?x)3?(1?3x)3 չʽУx ϵΪ______________. 𰸣7 C3?C3+C3?2?1?7 21(2x?123316)չʽij__________. 2x1r1r)?(?1)r?C6?26?r?x6?2r?()r 2x2𰸣-20
r6?rչʽͨʽTr?1?C6(2x)?(?22(x?31xr10)10չʽеij__________.
⣺Tr?1?C(x) 5?10?r(?31x)?(?1)C?xrrr1055?r6
5r?0r?6 666 Գ(?1)C10?210
3
23012345ûظֵλ 1ɶٸͬλ? 2ɶٸλż?
1323. ⣺1A5A5=300
3121
46A3A5=300ӷ.
2A5A2A4A4=156.
24һڴ4ͬĺ6ͬİȡһ2֣ȡһ1֣ӿڴȡ5ʹֲܷС7ֵȡж֣
233241CC?CC?CC6?186 4646424⣺
25ijӦͷÿλ˿ͿڲṩIJѡ22ع4ֲͬƷ֣ڲ 5ֲͬĻˣҪ֤ÿλ˿200ϵIJͬѡٻͬزƷֶ֣
22C?C5x?200 25⣺軹ͬز x , x Ȼ
x2?x?40?0,x?N x?7.
26˶Ա6Ů˶Ա4Ůӳ1.ѡ5.
жѡɷ
1˶Ա3Ů˶Ա2 21Ů˶Ա 3ӳ1˲μӣ
4ҪжӳҪŮ˶Ա.
26 1һѡ3˶ԱC6ѡ. ڶѡ2Ů˶ԱC4ѡ.
236CC423=120ѡ.
2һ 1Ů˶Ա¼ 1Ů4У2Ů3У3Ů2У4Ů1. ɷӷԭɵѡΪ
1C446C2+C4336C+C426C4+C41C6=246
.
1Ů˶ԱķΪȫ˶Աüӷ. 10ѡ5C10ѡȫ˶ԱѡC6. ԡ1Ů˶ԱѡΪC10-C6=246. 3һ ɷ⣺ ֻжӳѡΪ
48C
5555
4