名校
解题方法
1 . 已知数列
是有无穷项的等差数列,
,公差
,若满足条件:①
是数列
的项;②对任意的正整数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
,都存在正整数
,使得
.则满足这样的数列的个数是______ 种.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3068733ef2ceda9f1620d5c9bcdfa542.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4ce64685821c3e55c07f151996ca8c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26a49a952a95f7af7d8b4bc55f0fbe03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14b6ff283e5a6152e31ebb40a1567710.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31118399bffb42470cdd4b3538970fe3.png)
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2024-04-20更新
|
173次组卷
|
2卷引用:河北省张家口市尚义县第一中学等校2024届高三下学期模拟演练数学试题
名校
2 . 设等比数列
的公比为
,其前
项和为
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad0d99fef1aa4dbcc6dc7b30b7d2c9a9.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e49b9fa111197ef28535d0d33d2f4bd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad0d99fef1aa4dbcc6dc7b30b7d2c9a9.png)
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3 . 已知数列
满足
,
为数列
的前
项和,
恒成立,则
的最小值为______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec39713acebedfbca48f065c11854423.png)
![](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/eb2f79d9b9a9788d82009914a9fa2a91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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2023-01-05更新
|
441次组卷
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3卷引用:河北省张家口市2022-2023学年高二上学期期末数学试题
4 . 已知数列
中,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ca53acfec1c2064d6197d3e42fd9ece.png)
_______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d04005ec1e7cf48aa87ac46e37b3fbf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ca53acfec1c2064d6197d3e42fd9ece.png)
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解题方法
5 . 数列
的前
项和为
,
,则通项公式![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52743df1d9d484684f7d862280d88e9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
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2022-12-07更新
|
1427次组卷
|
11卷引用:河北省张家口市宣化第一中学2022-2023学年高二下学期3月月考数学试题
河北省张家口市宣化第一中学2022-2023学年高二下学期3月月考数学试题2017届山西孝义市高三上学期二轮模拟数学(文)试卷天津市河西区2020-2021学年高三上学期期中数学试题天津市河西区2022-2023学年高三上学期期中数学试题广东省广州市第九十七中学2022-2023学年高二上学期12月阶段训练数学试题(已下线)数列的概念安徽省滁州市定远县育才学校2022-2023学年高二下学期第一次月考数学试题安徽省亳州市第二完全中学2022-2023学年高二下学期期中教学质量检测数学试题上海市敬业中学2021-2022学年高一下学期期末数学试题天津市宝坻区第四中学2023-2024学年高三上学期期中综合测试二数学试题吉林省长春市东北师范大学附属中学净月实验学校2022-2023学年高二上学期期末数学试题
名校
解题方法
6 . 已知数列
,数列
是递增数列,且每一项都是正整数,设集合
,
,且
.若将集合
中的元素按从小到大的顺序排列构成的数列记为
,其中
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8be9f2df957f0ec0eb6fb5d9c1ab7e1.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a816492172dbfe02def8828592c1642.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ba022fe3323138072a3a9321bc932f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8d8326c8b0c0eacbab95c243c2944a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a3abbbeb686958f3365e06957e6bd62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2ed13ad63c5d72766db586970e7306a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b783cf91e34e692ce8e171f0965cb53f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5629483331c736aef42a1b29f69b3f29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8be9f2df957f0ec0eb6fb5d9c1ab7e1.png)
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7 . 写出一个“公差为2且前3项之和小于第3项”的等差数列
的通项公式:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
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2022-03-22更新
|
658次组卷
|
8卷引用:河北省张家口市2021届高三一模数学试题
名校
8 . 为增强广大师生生态文明意识,大力推进国家森林城市建设创建进程,某班26名同学在一段直线公路一侧植树,每人植一棵(各自挖坑种植),相邻两棵树相距均为10米,在同学们挖坑期间,运到的树苗集中放置在了某一树坑旁边,然后每位同学挖好自己的树坑后,均从各自树坑出发去领取树苗.记26位同学领取树苗往返所走的路程总和为
,则
的最小值为______ 米.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
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2022-01-23更新
|
395次组卷
|
3卷引用:河北省张家口市宣化第一中学2021-2022学年高二上学期期末数学试题
名校
9 . 已知递增数列
满足
,且
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9fa62b3f5629918fc33dc93a59a3b9f.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0978a001b87537f60af85a9a4cea2a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e5519427af84b16b911b7d60142bb91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80b119ac52fae0d3f4cdebe05e9e7d1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9fa62b3f5629918fc33dc93a59a3b9f.png)
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10 . 已知
为等差数列,
,
,且
、
、
成等比数列,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb1785570eac549c7f8a65450ad34b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3859890e300f470dcf4a215249da07e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65fc200f10b97588a0c9896277c9c64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
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2022-01-06更新
|
899次组卷
|
3卷引用:河北省张家口市2022届高三上学期期末数学试题
河北省张家口市2022届高三上学期期末数学试题(已下线)专题04 数列(突破训练)-备战2022年高考数学二轮复习重难考点专项突破训练(全国通用)上海市上海交通大学附属中学2023-2024学年高二上学期期中数学试题