名校
解题方法
1 . 若数列
满足:
,且
,则称
为一个
数列.对于一个
数列
,若数列
满足:
,且
,则称
为
的伴随数列.
(1)若
数列
中,
,写出其伴随数列
中
的值;
(2)若
为一个
数列,
为
的伴随数列
①证明:“
为常数列”是“
为等比数列的充要条件;
②求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c0b585b9c5b459de9186779aba4030d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59dd6c97d2ee3e74ba5730f1cbcc1d43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76b0b282d53c9467e0ec983fed79c622.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33f36f5e8a5983a1413e3f63f35c7cde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dd8ae4555eacf411d0a8867d9970668.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
①证明:“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
②求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/325629d6ef791f80f37af613adcf92fd.png)
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1282次组卷
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2卷引用:北京市第五十五中学2023-2024学年高二上学期12月月考数学试卷
名校
2 . 已知数列
.设集合
,如果对任意的整数
都有集合
的元素个数等于
,则称
为“完美数列”
(1)分别判断数列
和
是否为“完美数列”,直接写出结论:
(2)若
是“完美数列”,求证:
;
(3)若
是“完美数列”,且
,求出所有满足条件的数列
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d40f91eea8519183dae6bf2af64381.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3102d97b673a8c708dde3b6ffbbe2138.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c315caff37ae1ebfa412b2adfe130ebb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7f2c72ab559a0615db4c51327b78d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/596afe6f8149e39c53d36a759bee6151.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(1)分别判断数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/308f9a69923d8f7347ce5af0fbdb3fd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a033921506239df65e3296b1880c7e2c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/273073906bb7091463fc477b774d49f0.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33307fa505efcb8513ef6b6ac45624ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
您最近一年使用:0次
3 . 已知
是数列
的前
项和,且
,
(
),则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8323901a49cac29afd7d62864f088077.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac93306dbacb99db7b341874bb3413a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bcfc48f9bc23cc43085bdb910e7a136.png)
A.数列![]() | B.数列![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2023-01-12更新
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4355次组卷
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9卷引用:北京市第九中学2023-2024学年高二下学期4月月考数学试卷
北京市第九中学2023-2024学年高二下学期4月月考数学试卷湖北省部分重点中学2023届高三上学期1月第二次联考数学试题(已下线)专题5 数列 第2讲 数列通项与求和山东省安丘市青云学府2023届高三下学期一模数学试题(已下线)专题17 数列综合应用-3(已下线)专题10 数列通项公式的求法 微点4 奇偶分析法江苏省仪征市精诚高级中学2022-2023学年高三二模数学试题湖北省恩施州高中教育联盟2023届高三上学期期末数学试题(已下线)等差数列与等比数列
4 . 已知数列
,
,…,
的各项均为整数,且对任意的
,2,…,
,都有
.将A的所有项之和记为
.
(1)若
,
,求
的最大值;
(2)若
,求证:
;
(3)设
.将所有符合题意且
的数列A的总个数记为M,判断M是否为4的倍数,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/140b9dbcada4ac2e5fe3cc30009bcd67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5453ec6a9e8b96357c888ea863ddcf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7334c46af837676ada9575630a48d60f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c45176df950dfe48b8ca7eac08ee349.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fa2648793a3889448088fa3f9f5aa49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/249ccefb918d906ca640ec76e53247e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bba7a40102e81f5759f7b05ebf5a18c.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebcc133d5b11b33a904875182d8c8261.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2815b24f5a89be7ae53aed93182e8988.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bba7a40102e81f5759f7b05ebf5a18c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f8a0d4158a6df1bf0631095eb51c10c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5eb189e7f5f358b2de87dc4b93413366.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb4d99e36b93b0511914db81ed9c6a34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1dcb0c869ab0f0db7de71c644f7856.png)
您最近一年使用:0次
2022-10-24更新
|
624次组卷
|
2卷引用:北京市清华大学附属中学2022-2023学年高二上学期10月统练数学试题(1)
名校
解题方法
5 . 对于数列
,若存在常数
,对任意的
,恒有
,则称数列
为
数列.
(1)首项为1,公比为
的等比数列
是否为
数列?请说明理由;
(2)设
是数列
的前
项和,若数列
是
数列,那么数列
是否为
数列?若是,请说明理由;若不是,请举出一个例子;
(3)若数列
,
都是
数列,求证:数列
是
数列.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31d4f5886b62640f2638d7e9580a51d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2480f87a11c4cd450bc9454ea7276722.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/930bc56406e69b785b37a83d48e36724.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866d003eaa6187770f751425fac96dd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31d4f5886b62640f2638d7e9580a51d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a67dad7337d3daaaae14dfb7ea8591fa.png)
(1)首项为1,公比为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a67dad7337d3daaaae14dfb7ea8591fa.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cce224c28ca451c4f105dc3b077736cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a67dad7337d3daaaae14dfb7ea8591fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a67dad7337d3daaaae14dfb7ea8591fa.png)
(3)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a67dad7337d3daaaae14dfb7ea8591fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dc0bdefe6ea4cc508dd42ee6061106b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a67dad7337d3daaaae14dfb7ea8591fa.png)
您最近一年使用:0次
2023-01-31更新
|
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|
2卷引用:北京市第一六六中学2022-2023学年高二下学期3月阶段性诊断数学试题
6 . 已知各项均为整数的数列![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ad107fc0e55e4b35b2b25b10f75f4e6.png)
.满足
,且对任意
,都有
.记
.
(1)若
,写出一个符合要求的
;
(2)证明:数列
中存在
使得
;
(3)若
是
的整数倍,证明:数列
中存在
使得
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ad107fc0e55e4b35b2b25b10f75f4e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a0ed3f2a79403d4ca1cf2f9def5ae31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e557ad17fa38ac6b1f55e6ad6ec3c31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c906536bb830afee02111d791983e06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b389b37b65b78e0242245f67b5f2dc82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6735b270c7b4dbf195e1834d745e3dd.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13a6e1d671215fc96e4bee3541d1096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f762938f5c78eb72bafbb13bf85cba1.png)
(2)证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0818b44478f6d1d972aa5bf6dd4d3a0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f255d0395fba51ca2d44293cca42e0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433eaf536c1fed0f48f4af7b595a2af4.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d76da8e15e302756b4d2e7e24906ccb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0818b44478f6d1d972aa5bf6dd4d3a0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5566b1d828acdac47fe50216d247cfac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60cc91f55eeaa0330a9586ee73912466.png)
您最近一年使用:0次
2021-05-07更新
|
1165次组卷
|
9卷引用:北京市第八中学2021-2022学年高二6月月考数学试题
北京市第八中学2021-2022学年高二6月月考数学试题北京市朝阳区人大附中朝阳分校2022届高三12月月考数学试题北京市第二中学2023届高三上学期10月月考数学试题北京市第五十七中学2023届高三上学期12月月考数学试题北京市第五中学2022-2023学年高二下学期期末检测数学试题北京市朝阳区2021届高三下学期二模数学试题北京市北京理工大学附属中学2023届高三下学期开学测试数学试题【北京专用】专题03数列(第三部分)-高二上学期名校期末好题汇编(已下线)专题01 数列(6大考点经典基础练+优选提升练)-【好题汇编】备战2023-2024学年高二数学下学期期末真题分类汇编(新高考专用)
7 . 对于由m个正整数构成的有限集
,记
,特别规定
,若集合M满足:对任意的正整数
,都存在集合M的两个子集A、B,使得
成立,则称集合M为“满集”,
(1)分别判断集合
与
是否为“满集”,请说明理由;
(2)若
由小到大能排列成公差为d(
)的等差数列,求证:集合M为“满集”的必要条件是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b14f5fdf0e4f9de36f08402dd96d237e.png)
或2;
(3)若
由小到大能排列成首项为1,公比为2的等比数列,求证:集合M是“满集”
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e495e34870eb6eef8486f88e567c7e72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8b9cd59e58555bfc92257ba31d16794.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b44aed8cc107aecae26873891bfdc5f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf084cdb896062c63e919adf38352d26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c01a90899f08d43e7f1b945b96aae753.png)
(1)分别判断集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4804e8c356d6aa5b0d645fed77fec88f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee5d150c4bf3836b14db9cd1017aeacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20655342f9ace8b50a50f5eae6f37beb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5e789387bf82c893b83cb8f2007f060.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b14f5fdf0e4f9de36f08402dd96d237e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29f0913464ddee73888f859ec6ad1696.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20655342f9ace8b50a50f5eae6f37beb.png)
您最近一年使用:0次
2020-12-27更新
|
820次组卷
|
4卷引用:北京市人大附中朝阳学校2020-2021学年高二下学期数学统测试题
北京市人大附中朝阳学校2020-2021学年高二下学期数学统测试题上海市松江区2021届高三上学期期末(一模)数学试题上海市松江区2021届高三高考数学一模试题(已下线)考点47 推理与证明-备战2022年高考数学(文)一轮复习考点帮
8 . 已知数列
满足
(
为常数,
,
,
),给出下列四个结论:①若数列
是周期数列,则周期必为2:②若
,则数列
必是常数列:③若
,则数列
是递增数列:④若
,则数列
是有穷数列,其中,所有错误结论的序号是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b7de85c81095e02163a999950c0b83d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dc605044b3ee2a72181b07a47221377.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e145b6046bc80d0ffecc61ac67c87ca1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bcfc48f9bc23cc43085bdb910e7a136.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85fa64abb0036dbff6a29f01b0c03899.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4ce64685821c3e55c07f151996ca8c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2d8bbb4a09e0ac86bbae46222a90841.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
您最近一年使用:0次
2020-02-27更新
|
884次组卷
|
6卷引用:北京市人大附中朝阳学校2020-2021学年高二下学期数学统测试题
北京市人大附中朝阳学校2020-2021学年高二下学期数学统测试题北京市中国人民大学附属中学2019-2020学年高二上学期期中考试数学试题北京市海淀区中国人民大学附属中学2022-2023学年高二下学期期中数学复习试题(2)江苏省南通市2021-2022学年高三上学期9月第一次教学质量监测数学试题(已下线)专题6-1 数列函数性质与不等式放缩(讲+练)-1(已下线)技巧02 填空题的答题技巧(8大核心考点)(讲义)
名校
9 . 设整数集合
,其中
,且对于任意
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d226dbccd278f6d20653d52c4fe28351.png)
(1)请写出一个满足条件的集合
;
(2)证明:任意
;
(3)若
,求满足条件的集合
的个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9a02459a21167382ebfb095935255cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f947cf70804570839084fb9e8ffdad3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b836bde5106e78caeb728ff3353bee7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/269c7a915fc171ac7ad84c09883a6dd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d226dbccd278f6d20653d52c4fe28351.png)
(1)请写出一个满足条件的集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)证明:任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/484fc0329e7b476cd093d844d09fb20f.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d5215a6d2915d87bbc65302d184df8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
您最近一年使用:0次
2020-01-13更新
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925次组卷
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3卷引用:北京市北京理工大学附属中学2021-2022学年高二6月月考数学试题
名校
10 . 数字
的任意一个排列记作
,设
为所有这样的排列构成的集合.集合
任意整数
都有
,集合
任意整数
都有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b9d89f2b4a2e160458b36c8fd270c89.png)
(1)用列举法表示集合
;
(2)求集合
的元素个数;
(3)记集合
的元素个数为
,证明:数列
是等比数列.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1862403f59a94ecf2d21fe7e19d2aec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c686124767ab3c2b84470b065fcef89b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a7bc57de21efd7fa1776a01591d99a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e12df2ae8d3e915feafa1c5c21f2926e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/767965df8401842b4d727998d43a4fad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280a824d01ca8de7247b6e2ddd6fffdf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72e2febfa043de68251b23704c5e420a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b9d89f2b4a2e160458b36c8fd270c89.png)
(1)用列举法表示集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f266dacf74b0a86d671a5a422f848cb9.png)
(2)求集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74c612f58462180705a1acfd433714a4.png)
(3)记集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63f5c583c98a1fd516c6ceaa60b55dec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
您最近一年使用:0次
2020-04-03更新
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707次组卷
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4卷引用:北京理工大学附属中学2022-2023学年高二下学期3月月考数学试题