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第二章 数字推理
本章根据数字推理题型的特点,分为一般型和特殊型两个专题,其中的特殊型包括九宫型、圆圈型、三角型等历年考试中不常见的题目。
数字推理就是运用对数字的敏感度快速地发现数列的规律。建立数字敏感度的基本途径是“单数字发散”和“多数字联系”。
所谓“单数字发散”,是指从试题中的某个数字出发,寻找与之相关的各个特征数字,从而找到解题的“灵感”。例如:
26=25+1=52+1,26=27-1=33-1,26=13×2,26=24+2=4! +2。
所谓“多数字联系”,是指从试题中某些数字组合出发,寻找它们之间的联系,从而找到解题思路。
例如从数字4,1和9出发可以联想到:
(4-1)2=9,=9,4+1×5=9,4×2+1=9,(4-1)×3=9。
考情提要
数字推理是数量关系中的传统题型,而近些年来,国考和部分省、市的考试中并没有对数字推理进行考查。考生在复习的时候,如果要参加考试的地区最近三年没有考查数字推理,那么这一部分的内容应该简略地复习(如果时间不够,可以不复习);但是,有很多省、市的考试中一直还存在这种题型,如果是这种情况,那么就一定要非常重视数字推理的复习。根据数字推理所考查的内容和侧重点的不同,可以把数字推理分为多级数列、多重数列、分数数列、幂次数列、递推数列和图形数阵六种题型。
基础知识
基础数列类型
基础数列是学习数字推理的“基石”,包括以下几种:
(1)常数数列:数列中每一项都相同的数列,如2、2、2、2…
(2)等差数列:相邻两项之差为定值的数列,如0、3、6、9、12…(公差为3)
(3)等比数列:相邻两项之商为定值的数列,如16、24、36、54、81…
(4)周期数列:数字呈一定规律循环出现的数列,如2、5、3、2、5、3…
(5)对称数列:数字呈一定对称规律的数列,如2、5、3、0、3、5、2。
(6)平方、立方数列:每一项都是平方数或立方数的数列,例如:
平方数列:1、4、9、16、25、36、49…(即12、22、32、42、52、62、72…)
立方数列:1、8、27、64、125…(即13、23、33、43、53…)
质数与合数
质数:只有1和它本身两个约数的自然数叫作质数。如2、3、5、7、11、13…
合数:除了1和它本身还有其他约数的自然数叫作合数。如4、6、8、9、10、12…
注意:1既不是质数,也不是合数。
200以内质数表(特别留意画线部分)
2、3、5、7、11、13、17、19、23、29、31、37、41、43、47、53、59、61、67、71、73、79、83、89、97、101、103、107、109、113、127、131、137、139、149、151、157、163、167、173、179、181、191、193、197、199
合数的经典分解
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0067_0001.jpg?sign=1734432156-YwpMjF4GhXLOTZGUUUSWOBroglBbSDvZ-0-eec21b01427828dbd6253a0547be3d50)
常用幂次数
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0067_0002.jpg?sign=1734432156-sGNdny8r6IoRhBz2dVOmhUy3oeLuDT7y-0-a27dd333c23f6cb9207607271a276e3e)
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0067_0003.jpg?sign=1734432156-cMJCrMTVxtwtZ9cCwgHHkd2SbYUvGu65-0-560c671dfcf5cc54841635975aabd2ad)
数字推理解题思维步骤图
专题一 一般型
考点·技法清单
一般型是数字推理模块的主要题型,包括多级数列、多重数列、分数数列、幂次数列和递推数列五种题型,具体解题技巧如下表所示:
一般型常用解题技巧
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0068_0001.jpg?sign=1734432156-YwnCkKaH5ANRzgQrpTOWieZJhvC6u8YM-0-07665e39bb9512cc3edc8d8207e67c36)
基础过关自测
1.14 28 56112( )。
A.155
B.186
C.224
D.320
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0069_0002.jpg?sign=1734432156-TXUpfO1T6fy6Hh2hbzvfHQ4nlVOrFKAX-0-05c933c9394d4537d5481453208434bb)
视频讲解
2.5, 126, 175, 200, 209,( )。
A.210
B.212
C.213
D.215
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0069_0003.jpg?sign=1734432156-Pd6URABzcP9NZyTMdNoXrOUpUfHUeIwD-0-16181e903a6602e46386d616b280ae56)
视频讲解
3.1-1 2 2 25-9( )。
A.116
B.124
C.134
D.146
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0069_0004.jpg?sign=1734432156-YIHaABJ9nYELlHvdio7ldxe3CL8gzrNz-0-41172c9e8de87fb5a6887db76c91f9a8)
视频讲解
4.750250 100 50( )。
A.25
B.
C.40
D.45
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0069_0007.jpg?sign=1734432156-ZBHhFiOdmhquKV5uMLcEWnculOXlmwO2-0-5bbf698e68802eb3ff2423365c288e04)
视频讲解
5.1 2 5 26( )。
A.377
B.477
C.577
D.677
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0069_0008.jpg?sign=1734432156-UrQeEg81w7E1lCyCX7muG3KpDlWBzeKI-0-32247e0c4c7ad625a3b21ff7f7ac296c)
视频讲解
6., 1, 9, 243,( )。
A.19683
B.19785
C.19827
D.19869
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0069_0010.jpg?sign=1734432156-EYTHiemHFP3wGQuLK8JWsg3fp7bpKeLL-0-2205c2851ad69ace4e27238934117aef)
视频讲解
7.0, 6, 24, 60,( )。
A.70
B.80
C.100
D.120
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0070_0001.jpg?sign=1734432156-zbSyfE9niR3uU2cVXDAqfdtuTBU6DxUh-0-c612430ebbec28a24d2b92402c6e4bef)
视频讲解
8.7 12 25 50 91152( )。
A.237
B.241
C.243
D.255
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0070_0002.jpg?sign=1734432156-Q83Va81O4upMK1YLGY0zkWWF6AYY3jh9-0-296a0f8404942f264a63ea5511a3f909)
视频讲解
9.3 5 17 39 71( )。
A.107
B.113
C.121
D.135
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0070_0003.jpg?sign=1734432156-g3MmrC3VWOReVJT55maN8u8NWgyQzdnT-0-81f52e7333c0b0726633b6ec5b2ae200)
视频讲解
10.3, 21, 58, 114, 189,( )。
A.261
B.283
C.295
D.302
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0070_0004.jpg?sign=1734432156-s7lt4DIyph66IN37f0oPiiSO4KFZS8FI-0-0e3283817d15fe530ed8b89bfc6e1d40)
视频讲解
11.0.5 3 8 18 38( )。
A.75
B.78
C.82
D.85
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0070_0005.jpg?sign=1734432156-cas4VxhaaRf1Wk9LgrR4nthqmb9vwu9m-0-67941ee493f295d2b2a1115b612c3b17)
视频讲解
12.14, 23, 34, 47,( )。
A.50
B.57
C.60
D.62
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0070_0006.jpg?sign=1734432156-KoIMptoI4xuXcVKsoxofIMovVpgVRd8R-0-07503ce639f1f9192f5f9c09bbb7b69a)
视频讲解
13.1, 6, 12, 16, 24, 24,( )。
A.24
B.32
C.40
D.48
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0070_0007.jpg?sign=1734432156-tONviVzUa2wv3KTfGfDs6w9VbrMGyriG-0-5f848e8ab1246061df3a00126dfa4837)
视频讲解
14.0.1, 3.1, 10.1, 25.1,( )。
A.46.1
B.50.1
C.54.1
D.56.1
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0070_0008.jpg?sign=1734432156-7ToRAcmBnuKOpLAZT1Q73syMw4lJ7rqE-0-3e70c1875b8594c794bc3889c9f977b7)
视频讲解
15.12, 16, 22, 30, 39, 49,( )。
A.61
B.62
C.64
D.65
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0070_0009.jpg?sign=1734432156-R22Yj1UAHwujyhUzsemx8KsC5uMZPeoE-0-25b4b4e8676fcd6bc36335989a7f6342)
视频讲解
16.1, 10, 37, 82, 145,( )。
A.170
B.197
C.224
D.226
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0070_0010.jpg?sign=1734432156-CVFTzyfynhOpJ4dNHJMjvDQhxbOGsAdw-0-ad252c25a2557e6f8dbc87a6702ecb82)
视频讲解
17.9, 30, 69, 132, 225,( )。
A.354
B.387
C.456
D.540
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0070_0011.jpg?sign=1734432156-uDCuSq8oLEyHhQ8HUaSFfXhVQi0Bwi0y-0-7945bc75b07f47ffccf927c9fb220c8c)
视频讲解
18.1, 2, 8,( ), 1024, ……
A.64
B.176
C.682
D.988
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0070_0012.jpg?sign=1734432156-P37wpwOaa60tv23jZkvMo2QEx6fQolVV-0-b029eefaa4ef67e64aa49bf0f62a132a)
视频讲解
19.7, 14, 10, 11, 14, 9,( ),( )。
A.19 8
B.18 9
C.17 8
D.16 7
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0071_0001.jpg?sign=1734432156-iCrOIhSeu3S6v0Rs8CDCP72k0UM3HwCq-0-ec19d8f655f7658d75feb3344f1d5d3a)
视频讲解
20.1, 3, 9, 15, 25,( ), 49, 63, 81。
A.34
B.37
C.36
D.35
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0071_0002.jpg?sign=1734432156-Z8yqX6az1WYcUV4DrClRZTch7IHHmcyN-0-554fc60e947f61d585a99fbcb14552b7)
视频讲解
21.2, 2, 8, -1, -2, 5, 1, 1, 2, -1, 1,( )。
A.-2
B.-1
C.1
D.2
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0071_0003.jpg?sign=1734432156-7iCcuTekZtC5mhmCvi8fMT53eezAVgOg-0-5fe88fa90b2ace8bf160ae2364ccbc83)
视频讲解
22.67, 49, 55, 37, 43, 25,( )。
A.28
B.31
C.36
D.40
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0071_0004.jpg?sign=1734432156-XxBlp40NMmMEgIGciAVkYitH54ifo6ap-0-5f79bd0a9d55bb612ba90fec04c88a80)
视频讲解
23.4, 11, 27, 61,( )。
A.106
B.117
C.131
D.163
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0071_0005.jpg?sign=1734432156-xN3fFuBC6tm8t0p5Owan3NzDmnwb6Jvz-0-e1fd2fadbc22e9069f568899184bb2bd)
视频讲解
24.143, 59, 25, 9, 7,( )。
A.-2
B.-3
C.-4
D.-5
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0071_0006.jpg?sign=1734432156-9yXPhHWU4zuMxW2H7Q6NHKsIMbZMXzV0-0-11c7e4fdef5c80487f266da6b38d0c4b)
视频讲解
25.2, 1, 3, 10, 103,( )。
A.8927
B.9109
C.9247
D.10619
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0071_0007.jpg?sign=1734432156-aFUR0GQMeHLWB0fK7qqi9cHpFs04CjNL-0-4d6cc1006d5d6b7c7371f53de44a9a4f)
视频讲解
26.22, 122, 1221, 11221, 112211,( )。
A.111221
B.111122
C.1122111
D.1112211
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0071_0008.jpg?sign=1734432156-17IS5tWgadpNe4VecxuHFv6UjM9ToKsQ-0-2268628b4a96ce46abb6f6e048c2d737)
视频讲解
27.0, 2, 2, 4, 6,( )。
A.4
B.6
C.8
D.10
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0071_0009.jpg?sign=1734432156-jCEjDd89KjCTboaENA8HQBPYh3L8pgEJ-0-6625e68541674fe3d3923f2d041ed5a5)
视频讲解
28.1, 2, 3, 7, 16,( )。
A.66
B.65
C.64
D.63
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0071_0010.jpg?sign=1734432156-PsHuLbMwY6AuEzfS5r8Sf0arYHBojRjM-0-39343fc1f2c2b54cc4a6c599ead7376f)
视频讲解
29.7, 9, 23, 41, 87,( )。
A.129
B.137
C.150
D.169
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0071_0011.jpg?sign=1734432156-ASFmLvIGc294ivZG2W1IjALM6Rt7u3nc-0-7838bb01d8bc8cfedc8c69e4ac7d881b)
视频讲解
30.3, 2, 4, 5, 16,( )。
A.45
B.15
C.65
D.75
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0071_0012.jpg?sign=1734432156-NzMEvEaPb1zZwlxo7qd8PElQFgTxack2-0-9952b12c14265f474d50ae92edfcc40a)
视频讲解
31.7, 10, 16, 22, 34,( )。
A.36
B.37
C.39
D.40
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0072_0001.jpg?sign=1734432156-j2WRTmqzL7PFrj5jvW5SZB7O3XDRijS8-0-c53f7c8dc9785ac2735aa2de24c7e945)
视频讲解
32.52, 32, 20, 12, 8,( )。
A.3
B.4
C.5
D.6
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0072_0002.jpg?sign=1734432156-giSTUhkgsvGXOogkLo0nCNajB12CvvHR-0-3140d88e4dc88ad46e9333b7c8e21a04)
视频讲解
33.1, 1,,
, 2,( )。
A.
B.
C.
D.
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0072_0009.jpg?sign=1734432156-T3Y8WOBIFmYUueC5sKvmn0K4ixHiS3BS-0-bdc110f7c8696e06a59fec43afe5f35b)
视频讲解
34.3,,
,
,( )。
A.
B.
C.
D.
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0072_0017.jpg?sign=1734432156-0fhQZFl0B2lfhzHOyilRgoo4sCpY28jx-0-df3caf901ec0a702678b7a195effe96f)
视频讲解
35.,
,
,( )。
A.
B.
C.
D.
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0072_0025.jpg?sign=1734432156-rrV1KvtkcrBn1p3ydKqxA0LzCUBPNDBR-0-60721cfcccbc9f750fb8ff9358372da5)
视频讲解
36.,
,
,
,( )。
A.
B.
C.
D.
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0072_0034.jpg?sign=1734432156-bHK1wFqMCX3GcImXyiHB67msWw0pZMF7-0-60c0bf7cc44a5959f3e699c0e2a47735)
视频讲解
37.0,,
,
,
,( )。
A.
B.
C.
D.
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0072_0043.jpg?sign=1734432156-79LuhoO2IixFx7iekXGeWsReq2GQqBNA-0-e4bef9c55163ab7b5582062e04a2b440)
视频讲解
38.2.1, 2.2, 4.1, 4.4, 16.1,( )。
A.32.4
B.16.4
C.32.16
D.16.16
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0072_0044.jpg?sign=1734432156-Sz8oZ9lHH8P2vgebdLnBnl8WSoOqrGf0-0-2d694d8098cdcbb2b7118530bf7c7807)
视频讲解
39.,
,( ),
。
A.
B.
C.
D.
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0073_0008.jpg?sign=1734432156-ZcRqPoQKtnki1nEiyQc2AmD2ljmi4LZi-0-438570c85af5ec18b08d2a0eafceebde)
视频讲解
40.,
,
,
,( )。
A.
B.
C.
D.
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0073_0017.jpg?sign=1734432156-TpGkkwv9ppV2hwh7b4xClcTUZt1g8OSf-0-27760ec58067d85ece0698363a4fb938)
视频讲解
错题重点突破
1.1, 2,,
,
,( )。
A.
B.
C.
D.
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0073_0025.jpg?sign=1734432156-OTvhDLHon1qTOiftP33fy674EmVcmSf3-0-e1dc637cd9cd3a466de5c27391d5746f)
视频讲解
2.2, 3, 7, 34, 50, 175,( )。
A.211
B.213
C.215
D.217
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0073_0026.jpg?sign=1734432156-XMLSfP03xZ7wiFl3e7Ok9mxgB5AGHxrc-0-3e1ef24841d99ccff3aefdd475731e5e)
视频讲解
3.150, 75, 50, 37.5, 30,( )。
A.20
B.22.5
C.25
D.27.5
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0073_0027.jpg?sign=1734432156-txQAAksxE8RUyu6Q1qkMSqcAN2FJk3vE-0-45d48023163cf73d2af176ee1eea7b35)
视频讲解
4.0, 3, 9, 21,( ), 93。
A.40
B.45
C.36
D.38
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0073_0028.jpg?sign=1734432156-u97q7o8qGvS7DJh5gxd6GnoDbcjuUyH0-0-aaad088ad445b04d042e2361f662c660)
视频讲解
5.21, 27, 40, 61, 94, 148,( )。
A.239
B.242
C.246
D.252
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0073_0029.jpg?sign=1734432156-DNxAryU1KPSmGSTaM8yiwYe2oqafna2s-0-448421ea7981d379918e19c6b3b0fdea)
视频讲解
6.1, 0, 9, 16,( ), 48。
A.25
B.33
C.36
D.42
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0073_0030.jpg?sign=1734432156-ssDRJsZlMosyjvXozfuz5T3rcgUNq1dD-0-4ae282cdb31341baffcb6fba4c7ddf8b)
视频讲解
7.31 29 28 26 25 23( )。
A.22
B.24
C.35
D.38
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0073_0031.jpg?sign=1734432156-JpKKEzYvOHQMkCOzyOcOhu7PZhiquVth-0-c299fba94364422f40fef1f1d0e138da)
视频讲解
8.1, -3, 3, 3, 9,( )。
A.28
B.36
C.45
D.52
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0074_0001.jpg?sign=1734432156-uaIUqFwJCMU5mQaYlvIAacJ843GsDyER-0-2408091aa213b7640e19031b24276da2)
视频讲解
9.,
,
,
,
,( )。
A.
B.
C.
D.
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0074_0011.jpg?sign=1734432156-5RgT4DBxwJ473vF97OdKYNYMmVkYIuef-0-287de05f91a40543fca2ba98d2662e73)
视频讲解
10.5 3 21( )。
A.
B.
C.
D.
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0074_0017.jpg?sign=1734432156-snzZpprZJ3vhJGIi4Hpq4mqj31dn39oh-0-d5a77033e2b025cd4364074709a7b2a2)
视频讲解
11.12, 19, 29, 47, 78, 127,( )。
A.199
B.235
C.145
D.239
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0074_0018.jpg?sign=1734432156-5aRxNVQkwjMyaCPYRhoEI9rrlfRxvLpF-0-eef82bf857f70f8a14159d52de012ae9)
视频讲解
12.3, 10, 31, 94,( )。
A.125
C.283
B.188
D.2914
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0074_0019.jpg?sign=1734432156-1Zee1QqSRs43xTkMfGlEp8hnqscWIoZd-0-1e591936860697e9aee830a19b2a5d8d)
视频讲解
13.2, 1, 1, 6, 9, 17,( )。
A.21
B.26
C.38
D.43
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0074_0020.jpg?sign=1734432156-rjZ1FWYS3PQ2J7vzm8WbzerGZ4VyNhoe-0-3eb9b1bc0d9c2be8f29673c108a454a4)
视频讲解
14.1, 32, 81, 64, 25,( )。
A.12
B.10
C.8
D.6
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0074_0021.jpg?sign=1734432156-UD45Ooofw6yA2oP3nVdQnGMQ1PJkfiyP-0-d3518d27993b96f6da9697055e4a305f)
视频讲解
15.3, 19, 43, 79, 133,( )。
A.169
B.205
C.214
D.229
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0074_0022.jpg?sign=1734432156-8NuISz5wDDCUl7fSzv6mczQEkX9AZQTn-0-f2ec989e895be0fad008e57a9a7fff48)
视频讲解
16.32,56,912,( ),3330。
A.1518
B.2030
C.1720
D.1620
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0074_0023.jpg?sign=1734432156-oYU4zwfPqlu5t83hM9BDUgDhqmrE8ffR-0-cb6c9878ffa03419644744bbd06660ba)
视频讲解
17.,
,
,
,( ),
。
A.
B.
C.
D.
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0074_0033.jpg?sign=1734432156-bHwEYsRUJzn7awjkAMx0qicVtXj8XgXB-0-3e67ab98e7d468317a86579f4c690d8f)
视频讲解
18.-344, 17, -2, 5,( ), 65。
A.86
B.124
C.162
D.227
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0075_0001.jpg?sign=1734432156-f9mPizOCf6Iky9XgOKBi0wi65y3mJb9z-0-c63a19d7efe596c3f124380a3ecdf6fe)
视频讲解
19.257, 178, 259, 173, 261, 168, 263,( )。
A.163
B.164
C.178
D.275
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0075_0002.jpg?sign=1734432156-MMiZEvnWMTvlXiHqAlKfssv3Gus8Gkuq-0-0414531f54ca135684d043f49708c7fc)
视频讲解
20.2,4,9,28,( ),726。
A.125
B.268
C.489
D.645
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0075_0003.jpg?sign=1734432156-0BJu4vzqNfN29nBxgvft3iAK8XFHSTOa-0-f25f72fe819e67f0ead1712b1a1ba69c)
视频讲解
21.1, 6, 18, 40,( )。
A.75
B.68
C.70
D.65
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0075_0004.jpg?sign=1734432156-XIoiUVeSrsgRxwoEQtWxhRUYUNuBoYRi-0-943a362213c2ff2a9c9aef59ccce8556)
视频讲解
22.-1, 3, 2, 6,( ),( ), 14, 18。
A.4, 6
B.9, 13
C.7, 11
D.5, 7
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0075_0005.jpg?sign=1734432156-gVO1LUy5y5xLbAg865xhzQqzYGJU4xAm-0-6c7b2e342ea3d0b81a886778a4d76e3d)
视频讲解
23.13, 17, 26,( ), 67, 103。
A.28
B.36
C.42
D.45
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0075_0006.jpg?sign=1734432156-4OZviQ5tHGPsaJIxq6QkAgZTJl4Gj2Np-0-a77d9fef779ceeac28b401e087424d9c)
视频讲解
24.10, 12, 15, 20, 30,( )。
A.35
B.45
C.60
D.76
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0075_0007.jpg?sign=1734432156-ad5gAiAAgntPQYq7jayVDXTTqp29BmNF-0-32fcff6a442203d4b70a169ab8e3f475)
视频讲解
25.-2, -1, 2, -2,( ), 8。
A.1
C.4
B.-1
D.-4
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0075_0008.jpg?sign=1734432156-Tjl2BAD5wGQw8w9yvAlybuP85b8tfsBj-0-9af83416c49a8c38db9a5aabadee2365)
视频讲解
26.157, 65, 27, 11, 5,( )。
A.4
B.3
C.2
D.1
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0075_0009.jpg?sign=1734432156-Btq3Da9hkhf8iRnGWz9Y5Al8Cjh0cUHY-0-db45d49a1c02e38f87ef225428b4a41a)
视频讲解
27.5, 7, 17, 31, 65,( )。
A.107
B.115
C.120
D.127
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0075_0010.jpg?sign=1734432156-neurao6VwBvz9hgHsLrA0hBLZjTJaEgz-0-a6bf63433a9b0120291cd0388ebba23d)
视频讲解
28.6, 3, 5, 13, 2, 63,( )。
A.-36
B.-37
C.-38
D.-39
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0075_0011.jpg?sign=1734432156-ywvI6SGqSBsxFIMEkl24be3a200henFE-0-215b5e4e995933a47ca6dbaf04c62839)
视频讲解
29.2, 6, 16, 44,( ), 328。
A.104
B.108
C.112
D.120
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0075_0012.jpg?sign=1734432156-qyAIpsPMInVkZlo0apCJov3uLJfgBGNg-0-e0db5aad68f64ec4f124cb9c726c6892)
视频讲解
30.8, 4, 6, 15,,( )。
A.
B.
C.
D.
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0076_0006.jpg?sign=1734432156-nk55x6YaNCuB9EoTmdkR3ap03uZf5XNf-0-0517a6b445f473d5e7d26a5ad4bf230b)
视频讲解
31.2, 3, 4, 9, 32,( )。
A.47
B.83
C.128
D.279
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0076_0007.jpg?sign=1734432156-OHSfkeWBORCgmM8Z2Pa2PPy7C4UqiFw9-0-3bf34c614bbc6c8628d8696b022c5685)
视频讲解
32.2, 2, 0, 7, 9, 9,( )。
A.13
B.15
C.18
D.20
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0076_0008.jpg?sign=1734432156-A89cWOca19QtDQJB1C7dGddtFPUSQINw-0-bf4237222b5b8b74cc1612f2810f5430)
视频讲解
33.,
,
, 2,( )。
A.
B.
C.
D.
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0076_0016.jpg?sign=1734432156-jMAny5DScYyPjYRHgrlRkzjSNDgsZYzM-0-232b423fa61a1ed74f13fef4c2a79f31)
视频讲解
34.1,( ),,
,
。
A.0
B.1
C.
D.
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0076_0022.jpg?sign=1734432156-cBZlDgsojl8bbX7YAlzQGroxjMy7Yt6d-0-ada83d1f3aa4a55b670aabf3407a97e4)
视频讲解
35.,
,
,
,
,( )。
A.
B.
C.
D.
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0076_0032.jpg?sign=1734432156-jN4uYzFZZEhvqFcrftLYbyWpL9qYpHxM-0-126eb73c4bc283e55a7610c477b045e7)
视频讲解
36.1,,
,
,
,( )。
A.
B.
C.
D.
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0076_0041.jpg?sign=1734432156-6Udyca0erCOUX0UswEbVVYM0pgIGIWDl-0-778bb6cce9ee15db2821829eafcd28af)
视频讲解
37.,
,
,( )。
A.
B.
C.
D.
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0076_0049.jpg?sign=1734432156-aJhB6HRuVzJJXKizrPLidfve1O4hKOJ7-0-5024da82b65a1faf15a1e249c1f60490)
视频讲解
38.1.1, 3.4, 6.9, 10.16,( )。
A.12.49
B.15.25
C.13.36
D.14.49
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0077_0001.jpg?sign=1734432156-eSVPhvLe3w5OnIJBfo55BgxuY4JZ8Vbr-0-1cf9b123fe227afb0be9e74f0f4d0d28)
视频讲解
39.3, 5, 5, 6, 6.5,( )。
A.6.25
B.6.5
C.7.25
D.7.5
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0077_0002.jpg?sign=1734432156-jb7qrAV3eu3ef4vOdFWCoCB6ical91OI-0-44c7a484f39b7f9bc21a11d085f7c3b7)
视频讲解
40.,
, 5,
,( )。
A.
B.
C.
D.
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0077_0010.jpg?sign=1734432156-KD8o0uzZGF4xOZjcAuLijl0AcmfE45h9-0-d13d9cc46cd196d2d8c339fbdfe58f74)
视频讲解
满分极限挑战
1.5 11-3 7-5( )。
A.6
B.7
C.8
D.9
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0077_0011.jpg?sign=1734432156-858Xybti4WPie1lArnL21mpDPLPaqVt3-0-e2976122688507bd3c38e6737a53cc4b)
视频讲解
2.,
,
, 6, 30,( )。
A.90
B.180
C.150
D.210
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0077_0015.jpg?sign=1734432156-AQP1HiX3Tzn5k5vnwlaZiZniIwKYIZLd-0-b904d24acefcd773c30d95c6f3f01de1)
视频讲解
3.,
,
,
,( )。
A.
B.
C.
D.
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0077_0024.jpg?sign=1734432156-l0xIqI2zNNJO2ifg1uBFHoUqQAeDtNqJ-0-549873370575dd6f1b0085a6356d5681)
视频讲解
4.-53, 28, 1, 10, 7,( )。
A.8
B.13
C.9
D.3
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0077_0025.jpg?sign=1734432156-x8UDRjVw4LDSud1VRiOnxwYcei6bpwZ0-0-64ee3749c7025b39c9dd34d5efb21f50)
视频讲解
5.4, 9, 8, 11, 12,( )。
A.13
B.14
C.17
D.19
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0077_0026.jpg?sign=1734432156-UTAp1syoNEpoYuUeoZ2uOykyl7RIRpk2-0-19fe1a2627b1d701c4125fa788a368f4)
视频讲解
6.2, 5, 14, 41, 122,( )。
A.243
B.323
C.365
D.382
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0077_0027.jpg?sign=1734432156-vcrRDvqw6zM76qRznYB0YfG22JQ3JV8X-0-96da7c78f776d63b5b02499193c2ce31)
视频讲解
7.2, 6, 21, 43, 82,( )。
A.130
B.134
C.144
D.156
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0077_0028.jpg?sign=1734432156-5VQbcQ54DsQ810PNb8WM5LuSgJCgJWat-0-98cc7567e8587fb720e157cf96bb6b76)
视频讲解
8.52, -56, -92, -104,( )。
A.-100
B.-107
C.-108
D.-112
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0078_0001.jpg?sign=1734432156-kAm94wi6mQQmtUBiCwNDKfsxJZvbOfuV-0-c65aa65259bfb38c874cf8a89ee62ac9)
视频讲解
9.2, 17, 29, 38, 44,( )。
A.45
B.46
C.47
D.48
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0078_0002.jpg?sign=1734432156-MerFvxzkM8rznA0yCp3K2eyAOQsK1PNs-0-6d3fe27c864da801b12e155bd21388a5)
视频讲解
10.3, 4, 6, 10,( ), 34,( )。
A.16,50
B.18,66
C.20,58
D.28,45
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0078_0003.jpg?sign=1734432156-C6ASGbz7LGkVAZDAdqPTEvV1UoSO2uHx-0-ce90f1dfbf91aed2ccb8fb6a62fec607)
视频讲解
11.1, 7, 17, 31, 49,( )。
A.57
B.67
C.71
D.73
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0078_0004.jpg?sign=1734432156-g18mXliZJcUxyUtHZldgXdsbVstDBMB7-0-29b4d335d8afba4ce76fe1a446ca9ea6)
视频讲解
12.2, 2, 7, 9, 16, 20,( )。
A.28
B.29
C.30
D.31
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0078_0005.jpg?sign=1734432156-Neyl4Gy3vZYuTmxLiAyx664Ir8DZEoxK-0-d75a511f9142062eb3c80435eb62ce28)
视频讲解
13.-23, -3, 20, 44, 72, 105, 147,( )。
A.203
B.218
C.275
D.296
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0078_0006.jpg?sign=1734432156-FKayPcVkDoiUkVCnhSUU1W2y1UInVP7g-0-bfebe6291bc95e9bfccb3a644664058b)
视频讲解
14.-7, -5, -1, 5,( ), 23。
A.10
B.11
C.13
D.20
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0078_0007.jpg?sign=1734432156-WelcfbPJDD9X36tunGch8Op2R4ALq9fc-0-da7c09b3c41dd2cd65e505a5bf3dd3e5)
视频讲解
15.1, 2, 4,( ), 11, 16。
A.10
B.9
C.8
D.7
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0078_0008.jpg?sign=1734432156-p5ej3Fd3tQjdkwMC8opM3bq9QAhMjDOn-0-286ddbebe604ce9680ebd84136c2f4d9)
视频讲解
16.170, 122, 82,( ), 26, 10。
A.101
B.38
C.50
D.65
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0078_0009.jpg?sign=1734432156-yu9kvhZPuOw8HP63pgm82wPjezo8bpPf-0-e295133e4271e59d3a0d7ef9234cc090)
视频讲解
17.2, 6, 30, 60, 130, 210,( )。
A.340
B.350
C.360
D.370
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0078_0010.jpg?sign=1734432156-adbie7U7spNDgtLuSmj1b2I7wvSObHYy-0-728c04ed102dcf53d8dce5c10ff8f34c)
视频讲解
18.1, 9, 5, 1,,( )。
A.
B.
C.
D.
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0078_0016.jpg?sign=1734432156-lTJLLuAksWXNYoG2XWdYIdJfBymKdEsF-0-e5241a667d1b908a6b8c459d3c760335)
视频讲解
19.3, 7, 9, 14, 27, 28, 81,( )。
A.56
B.83
C.108
D.132
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0079_0001.jpg?sign=1734432156-CJYl85Sm7mgxJjes55jqkm5gxO64xzIo-0-38642d5ff4aa6a493827bee89d078834)
视频讲解
20.1, 2, 0, 3, -1, 4,( )。
A.-2
B.0
C.5
D.6
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0079_0002.jpg?sign=1734432156-ZpFhS3I5YvFf8Lxwsd1SrHxH0ZwhC9Gd-0-7d266adf90fc736d7b3b196a9bbc31df)
视频讲解
21.11, 22, 20, 40, 12, 24, 34,( )。
A.50
B.64
C.56
D.68
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0079_0003.jpg?sign=1734432156-nQVYgaQzOtRWZfov1J1xSiYD1EpTlKTQ-0-25a203e3442148ab32da86df8e87e0e8)
视频讲解
22.2.02, 3.01, 5.03, 8.04,( )。
A.13.04
B.13.05
C.10.05
D.13.07
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0079_0004.jpg?sign=1734432156-a5eMDNQcT2jbBaaJQjpfBS4QbWHPDEkl-0-c652d7a0c8b0acc08375b1759aa8a30c)
视频讲解
23.2, 3, 6, 18,( ), 1944。
A.58
B.108
C.102
D.96
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0079_0005.jpg?sign=1734432156-RGUDin6v7NGyJANhJOv3dcoUaBB08ckr-0-bf13111d7bcd88e97120c33edf0a3f3c)
视频讲解
24.3, 2, 10, 24,( ), 184。
A.52
B.58
C.64
D.68
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0079_0006.jpg?sign=1734432156-fkXin3OZpHAS8EHbFyaTn7BQuXoonLY8-0-dac84330e675e3396e8d09666e84bc8b)
视频讲解
25.4.2, 5.2, 8.4, 17.8, 44.22,( )。
A.125.62
B.85.26
C.99.44
D.125.64
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0079_0007.jpg?sign=1734432156-8yaxQuZJIOzaXBW6pS4MDZQaFmRagEqB-0-e91a595f7f283bba19c5f427c39d12d6)
视频讲解
26.2, 4, 6, 5, 7, 9, 11,( )。
A.12.5
B.13
C.14.5
D.15
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0079_0008.jpg?sign=1734432156-twYNcnQbXYmQV2YRAF2FnDZTMTyTtTMS-0-36752539984f3ad93b498e26062f6169)
视频讲解
27.172, 84, 40, 18,( )。
A.5
B.7
C.16
D.22
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0079_0009.jpg?sign=1734432156-s9bU4WuZ1hO9eLJM0z1CBPRlbk6Oyskf-0-33fa22643b749c80be0bb0b6e174cfd3)
视频讲解
28.27, 11, 16, 5, 11, 6,( )。
A.5
B.9
C.13
D.17
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0079_0010.jpg?sign=1734432156-XhmeU6ZXRsxvHSlvt7eivm52mP9zkG0X-0-92024af4fd23bb19ce3aeb3fbd7ca9e0)
视频讲解
29.3, 10, 31, 94,( ), 850。
A.250
B.270
C.282
D.283
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0079_0011.jpg?sign=1734432156-IPNWYYEuPIhe1JyNSy3PjZl3OnUWhIzG-0-cc717a81e03fc84a05371c41b1774634)
视频讲解
30.,
,( ),
,
。
A.
B.
C.
D.
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0079_0020.jpg?sign=1734432156-AjitcEe7ZPQ3HsjZ0eH6FlsOffmAVXSR-0-18f255406faacd0c74b277e1b6cfc1f9)
视频讲解
31.1, 3, 2, 3, 4, 9,( )。
A.13
B.18
C.29
D.32
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0080_0001.jpg?sign=1734432156-gPt2fsz8rDGnUzqJmbhNRlshOlXnMrCk-0-bccbf73334cf3efe0786fc88cff7ba78)
视频讲解
32.5, 15, 10, 215,( )。
A.-205
B.-115
C.-225
D.-230
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0080_0002.jpg?sign=1734432156-3J6FpNViIPbkvhLjysTTdBa2igd61oax-0-3cdced34d3cc5c44152a267f19115189)
视频讲解
33.,
,
,
,
,( )。
A.
B.
C.
D.
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0080_0012.jpg?sign=1734432156-5gLKmkfNmiamDBBBfnUFhtxnfeU5pMrs-0-4bfb01dbef06684cf93fe3e060bbf2ca)
视频讲解
34.-1, 7, -13, 19,( )。
A.25
B.-25
C.27
D.-27
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0080_0013.jpg?sign=1734432156-sJqJPtkVHfHwOCtbMCv5bkmecn4wrwLd-0-ff6d8849d9d87a99ec0b2628a6f62305)
视频讲解
35.1,,
,
,
,( )。
A.
B.
C.
D.
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0080_0022.jpg?sign=1734432156-2j7Z6gwU00wtrZo4knKwRqRGEgQPAcyi-0-96810b5eeaf1ad621b08acc36d39a8bf)
视频讲解
36.,
,
,
,( )。
A.
B.
C.
D.
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0080_0031.jpg?sign=1734432156-89XJ26Hm9suPisP7NVtHbpLYl8HBK2c4-0-fb194408a2edc5ece5bbbd5aecf6cc4e)
视频讲解
37.,1, 1,
,( ),
。
A.
B.
C.
D.1
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0080_0038.jpg?sign=1734432156-r5IU0x6V1yKVhZqqCvgnPHpVL9HXnY1w-0-72496a61f9bc4031e5f810b0c6ad7fe9)
视频讲解
38.0.2, 4.04, 20.008,( )。
A.48.0032
B.40.0032
C.54.0016
D.61.0214
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0080_0039.jpg?sign=1734432156-6ZcWwjN7LKKxPKFdNFiFGlfp7KTIN9Ro-0-f2874fe991f88f29acfb6e4de7ae9831)
视频讲解
39.0, 1.2, 4.4,( ), 16.8,( ), 36.12。
A.9.6,25.10
B.5.8,17.9
C.9.6,19.7
D.10.4,20.11
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0080_0040.jpg?sign=1734432156-davjUlku1Aq0zqARTXc1cIW7GGNvRxS7-0-c88918be4aaed159830ce2d341610955)
视频讲解
40.2,,
, 20,( )。
A.
B.28
C.
D.35
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0081_0005.jpg?sign=1734432156-4wMcjU6jCQu6mEARnpQG0P2T85nWQlHN-0-e6db9db512e3371382792f668b4d4c3a)
视频讲解
(注:本专题题目答案及详解见第204页)
专题二 特殊型
考点·技法清单
特殊型数字推理主要考查九宫型和圆圈型,三角型偶有考查,其解题技法与九宫型和圆圈型类似。
一、九宫型
九宫型是图形数列的基本题型,这种题型研究“3×3式方阵”中行间或者列间的数字关系,主要包括等差等比型、分组计算型、递推运算型三种主要题型。具体解题技巧如下表所示:
九宫型常用解题技巧
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0082_0001.jpg?sign=1734432156-JG8W1Pm7ffTeqZOmFjwKcM4veQJquDHN-0-59d247a24b421eac42c4dc0f1e97a1d7)
二、圆圈型
圆圈型主要分为有心圆圈型和无心圆圈型,其具体解题技巧如下表所示:
圆圈型常用解题技巧
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0082_0002.jpg?sign=1734432156-U3cz0iR6Eafo1g9Nqv5RBJSfMJ97MSHV-0-d8b3445f6c2cc966b7c2714e4c34d128)
基础过关自测
1.
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0083_0001.jpg?sign=1734432156-OCTHLbzaIveg8HktQdBGo6QPD1whk3Yf-0-2983601b8b85e0c6700af1f11fddbb9f)
A.
B.
C.
D.
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0083_0006.jpg?sign=1734432156-73KL04MlyOsOtDu0LaKFl1eAQqc6FSUh-0-7c7eb259ddbe2cb8b1d7f3cf16d8db21)
视频讲解
2.
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0083_0007.jpg?sign=1734432156-Tt8WYzP4bEMIGkTqHryqa23NkJf4kxxd-0-0ac7f8019858c76adf9b979cb8580171)
A.4
B.5
C.6
D.7
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0083_0008.jpg?sign=1734432156-EhnBDKctmzRYo3cEFw3BFzDgcqONPVxV-0-5b353e67043ff3db903722a6d5e218b9)
视频讲解
3.
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0083_0009.jpg?sign=1734432156-ryZbEoEXCwx0sAT2B6W0hLqilk8jCzPE-0-fcb07b3026dba95ca963c76a7dd7fd2a)
A.0
B.1
C.2
D.4
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0083_0010.jpg?sign=1734432156-1WtnoUMOoYIA2xbl1YTrtJoCis2kXtef-0-16e56a2366664e41e71baf5b7680dd5b)
视频讲解
4.
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0083_0011.jpg?sign=1734432156-y1Vfi5XFrLbyGvX7yiNcP1xIgxCSK3dn-0-1c4615873c408edaaf2a51cccf42f271)
A.1
B.8
C.10
D.36
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0083_0012.jpg?sign=1734432156-XCcbJgDsBnjhAs2xWerpqluziCIEOeNJ-0-6ff8fbda32f5661c91cb0999eabaac22)
视频讲解
5.
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0083_0013.jpg?sign=1734432156-ayUjFFqTYQylvhZ5Jlm3mf7CPXheVZxn-0-1ea00e77d9d21319344d08add6910a41)
A.12
B.2
C.6
D.11
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0083_0014.jpg?sign=1734432156-xbulCMWLHYxz0iuccGRb2plgMWDmEtH6-0-cc974992e9294b7e859a035bbb24aba4)
视频讲解
错题重点突破
1.根据下表数字之间的规律,问号处应填( )。
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0084_0001.jpg?sign=1734432156-XFwD5XfUw767est8HhL7t2QgJOE67QhH-0-5e14c22b873b4e3aeea7f0b4354dca4c)
A.32
B.43
C.48
D.56
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0084_0002.jpg?sign=1734432156-MKeZlA6jJi57tIQG7DVJWxy8O7OkydBw-0-33f19cfca9ff0682e47ff541437bca45)
视频讲解
2.
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0084_0003.jpg?sign=1734432156-wJ9In1xn1G8R8T87ZXX5ryUcLid1MwI3-0-6bb4c1f0c3d913f832f05719f1789dd5)
A.39
B.40
C.41
D.42
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0084_0004.jpg?sign=1734432156-a46wfmL3NKmqUrntxjvjJHtKmGsgb8ar-0-e08fe6690b3f3f76a7f85ef5e8ccfa31)
视频讲解
3.
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0084_0005.jpg?sign=1734432156-znZNPHAlMgjtuDY60QFeYpVy5drZ8g21-0-ece569d0d88b378ba4acaec64ca75900)
A.3.6
B.1.5
C.0.9
D.0.6
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0084_0006.jpg?sign=1734432156-jYJ6YeE7j23wMSKZF1d7eQ1gLhE7ZKZQ-0-462cc633bb4191e60088ee7ce393317e)
视频讲解
4.
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0084_0007.jpg?sign=1734432156-Aom9KmoNzAy6OOFsI3uwF7bOrwQzwcyN-0-62f46bd590802908f5159bcdad2fc4dc)
A.6
B.7
C.8
D.9
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0084_0008.jpg?sign=1734432156-rdACDwJFpWoWONHXijDcJM9tlMP24UU6-0-0c534b61028913ea13f05d15eb0dc881)
视频讲解
5.
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0084_0009.jpg?sign=1734432156-tIn1lNDi9qbEnQhnFvmQwPvOCYEgNQcH-0-3534c73850852a0a2005c100ae983995)
A.54
B.63
C.85
D.108
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0084_0010.jpg?sign=1734432156-HZs3uHNTRUtMWD6PV7gWRYHIbmUsysm2-0-43beb4ea61e431affe71924df6198a43)
视频讲解
满分极限挑战
1.
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0085_0001.jpg?sign=1734432156-tRnEZ6gkxfbmcM63JhjOHDPMKyhHU2y3-0-20bf73d4afeb2af0cb79747b327a3dca)
A.5
B.8
C.9
D.11
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0085_0002.jpg?sign=1734432156-XQwLBPlRaae1l1RJD3n7ARrAA5A6pK85-0-e605fd3ae5501c9ae22c974919ea853a)
视频讲解
2.
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0085_0003.jpg?sign=1734432156-Ss7Pj5laTIfhmqPMzcWSCt3taO3zgm24-0-bc798fc533e8eda4c74f0368daeb409a)
A.14.2
B.16.4
C.18.6
D.15
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0085_0004.jpg?sign=1734432156-i4zZsVgqxuqNBdc1psXcjZRzsBl9PsgL-0-f3d33c1bab4e7132c82acd8a13bd9227)
视频讲解
3.
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0085_0005.jpg?sign=1734432156-LFh2vuFlmqxUaYftlq3Uat3WExzaLUGx-0-f3b80758f629a56fe7e13acce2b8dc0b)
A.10
B.12
C.14
D.16
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0085_0006.jpg?sign=1734432156-l9KpRVqZ0FnXc5sYs3ZkLq6L4srXsmow-0-72c84df63c1abc80cb66247d40cc522c)
视频讲解
4.
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0085_0007.jpg?sign=1734432156-uDodEjKcS5wAUD9f1mNecWU2ynqMPrFS-0-253fcacad3192c2d5ec6ddd32315f494)
A.4
B.12
C.16
D.24
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0085_0008.jpg?sign=1734432156-mSeAIxAOPupFK5Wyu8jQKYKfFx0vsTKL-0-8becfaaf5564f85a2f4d63efafec961d)
视频讲解
5.
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0085_0009.jpg?sign=1734432156-7J2AOaoyeSYHrJCmPnPCTvZqvBou6ca4-0-8d7a5f86590aa1c3e2a102474e3d19b0)
A.55
B.103
C.199
D.212
![](https://epubservercos.yuewen.com/5AE796/17708896706606506/epubprivate/OEBPS/Images/figure_0085_0010.jpg?sign=1734432156-vZmqvE0EHWKkuM7fZBzBtPuACqjQpMED-0-04f07b828add0854de9d50d3b8c4b63d)
视频讲解
(注:本专题题目答案及详解见第214页)