(一)数字推理规律举例
1.容易的规律
(1)自然数数列:
4,5,6,7,()
A.8 B.6 C.10 D.11
(2)奇数数列:各个数都是奇数(单数),不能被2整除之数。
1,3,5,7,()
A.11B.9C.13 D.15
(3)偶数数列,即各个数都是偶数(双数),能被2整除之数。
2,4,6,8,()
A.12B.10C.11 D.13
(4)等差数列:相邻数之间的差值相等。
1,4,7,10,()
A.11 B.13C.16 D.12
(5)等比数列:相邻数之间的比值相等。
2,4,8,16,()
A.21B.28C.32D.36
(6)加法数列:
1,0,1,1,2,(),5
A.4 B.3C.5 D.7
(7)减法数列:
5,3,2,1,(),0
A.1B.-1C.-2D.-3
(8)乘法数列:
1,2,2,4,8,()
A.12B.15C.30D.32
(9)除法数列:
8,4,2,2,1,()
A.3B.4 C.5 D.2
(10)平方数列:数列中的各数为一个数列的平方。
1,4,9,16,()
A.23B.24C.25D.26
(11)立方数列:数列中的各数为一个数列的立方。
1,8,27,64,()
A.100 B.115C.120D.125
(12)质数系列:只能被本身和1整除的整数,也叫素数。
2,3,5,7,()
A.8 B.9C.10D.11
(13)题中出现的大数数列:
3,7,47,2207,()
A.4414B.6621C.8828D.4870847
(14)纯数字数列:
9,98,987,9876,()
A.9875B.98765C.98764D.98763
(15)分数数列:
1/9,1/11,1/13,1/15,()
A.1/12B.1/14C.1/17D.1/16
(16)隔项自然数列:
6,9, 7,10,8,11,()
A.12,9 B.9,12 C.12,12 D.13,14
(17)分数立方数列:
1,1/8,1/27,1/64,()
A.1/123B.1/124C.1/125D.1/126
2.较难的规律
(1)二级等差数列:
2,3,5,8,()
A.8B.9C.15 D.12
(2)等差数列变式:
3,4,6,9, (), 18
A.11 B.13C.12D.18
(3)二级等比数列:
1,3,18,216, ()
A.1023B.1892C.243D.5184
(4)等比数列的变式:
3,5,9,17, ()
A.23 B.33C.43D.25
(5)暗的平方数列:
2,3,10,15,26,35,()
A.40 B.50 C.55D.60
(6)暗的立方数列:
3, 10, 29, 66, ()
A.123 B.124 C.126D.127
(7)质数的变式:
20, 22, 25, 30, 37, ()
A.40 B.42C.48D.50
(8)双重数列:分为单数项与双数项(或奇数项与偶数项)。
257,178,259,173,261,168,263, ()
A.275B.279C.164D.163
(9)数量递增的差数列:
2, 4, 8, 14, 22,()
A.30B.31C.32D.33
(10)正负数间隔等比数列:
-2, 4, -8, 16, ()
A.31B.-32C.33D.-34
(11)差数列变式:.
3,4,6,9, (), 18
A.12B.13C.14D.15
(12)整数与小数数列:
1.1, 2.2, 4.3, 7.4, 11.5, ()
A.15.5B.15.6C.15.8D.16.6
3.难的规律:即混合型数列,由上述两种以上的规律组成的数列。
(1)差与平方数列:
1,2,6,15,31, ()
A.45B.50C.56D.60
(2)分数与公比数列:
1/19,38,1/76,152, 1/304,()
A.380B.608C.719D.1216
(3)乘法加加法数列:
6, 14, 30, 62, ()
A.85 B.92C.126D.250
(4)除法加加法数列:
5, 17, 21, 25, ()
A.30 B.31C.32D.34
(5)减法加等比数列:
4, 7, 16, 43, 124 , ()
A.367B.248C.372D.496
(6)加法加等比数列:
3, 6, 21, 60, ()
A.183B.189C.190D.243
(7)立方加加法数列:
2,9,28,65, ()
A.128B.124C.126D.129
(8)双重数列加加法数列:
1,28,4,65,9,126,16,()
A.215B.216C.217D.218
(9)平方与加1减1数列:
5, 8, 17, 24, 37, ()
A.49B.63C.80D.48
(10)偶数项是奇数项的倍数数列:
23,46,48,96,54,108,99,()
A.200B.199C.197D.198
(11)分子第一位数是后两位数差的倍数数列:
20/9,4/3,7/9,4/9,1/4,()
A.5/36B.1/6C.1/9D.1/144
4.数字推理补充题
(1)2, 1, 4, 3, (), 5
A.1B.2C.3D.6
(2)22,35,56,90,(),234
A.167B.156C.108D.145
(3)1,8,9,4,(),1/6
A.3B.2 C.1D.1/3
(4)6,24,60,132,()
A.140B.210 C.212D.276
(5)-2,1,7,16,(),43
A.25B.28 C.31D.35
(6)(),36,19, 10, 5, 2
A.77B.69C.54D.48
(7)5/7,7/12,12/19,19/31,()
31/49B.1/39C.31/50D.50/31
(8)O,4,18,48,100,()
A.170B.180C.190D.200
(9) √2,√3,2,(),√6
A.√4B.√5C.√7D.√8
(10) √25,√16, (),√4
A.√2B.√3C.3D.√6
(11)2,12,36,80,150,()
A.250 B.252 C.253 D.254
(12) 16, 27, 16, (), 1
A.5B.6C.7D.8
(13)1.16,8.25,27.36,64.49,()
A.65.25B.125.64C.125.81D.125.01
(14)4,11,30,67,()
A.126 B.127C.128D.129
(15)12,36,8,24,11,33,15, ()
A.30 B.35C.38D.45
(16)8,8,6,2,()
A.-4B.4C.0D.-2
(17)12,2, 2, 3,14,2,7, 1, 18,1,2,3,40,10,(),4
A.4B.2C.3D.1
(18) 4,3,1,12,9, 3,17,5, ()
A.12B.13C.14D.15
▲数字推理参考答案
容易的规律:
1.A 2 .B 3.B4.B 5.C6.B7.A 8.D9.D 10.C11.D 12.D 13.D 14.B 15.C 16.B 17.C
较难的规律:
1.D2.B 3.D4.B 5.B 6.D7.C 8.D9.C10.B11.B12.D
难的规律:
1.C2.B 3.C 4.B 5.A6.A7.C8.C 9.D 10.D 11.A
补充题:
1.D2.D3.C4.D 5.B6.B7.C 8.B9.B10.C11.B12.A13.B14.C 15.D 16.A17.D 18.A