1 . 已知函数
,
均是定义在
上的连续函数,
为
的导函数,且
,
,若
为奇函数,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22add663bd26e87d972a10dc5fd9ada1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/703ed40bd5c0835d10ad9cbf7420d375.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c69506e7b74835041a192b927efd0da2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
A.![]() | B.![]() |
C.![]() ![]() | D.存在![]() ![]() |
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名校
解题方法
2 . 已知数列
的前
项和是
,满足
对
成立,则下列结论正确的是( )
![](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/2e989f67b2224ff228c49318ace60beb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05ec09a5b5fd94c1dd994a759907ef1d.png)
A.![]() | B.![]() |
C.数列![]() | D.![]() |
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2023-04-27更新
|
1345次组卷
|
3卷引用:山东省淄博市部分学校2023届高三下学期4月阶段性诊断考试数学试题
3 . 在如图所示的平面四边形
中,
的面积是
面积的两倍,又数列
满足
,当
时,
,记
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/3/3e4928b6-b5b5-4679-88aa-66e7dfa1a44e.png?resizew=219)
(1)求数列
的通项公式;
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73636989e83905f8800a865c2b608c43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9d8ea91b1e86ff8b411ed3cd6e74457.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7d3d55a85012933f91c5d8d27d8801d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/3/3e4928b6-b5b5-4679-88aa-66e7dfa1a44e.png?resizew=219)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7dd8c898720b6fac27ea0f59a8d0833.png)
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2023-04-01更新
|
1629次组卷
|
3卷引用:山东省新高考联合质量测评2023届高三下学期3月联考数学试题
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解题方法
4 . 已知首项不为0的等差数列
,公差
(
为给定常数),
为数列
前
项和,且
为
所有可能取值由小到大组成的数列.
(1)求
;
(2)设
为数列
的前
项和,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aacf726c1efc076e9c33d668159bec84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.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/89dea3b1e936a165716a055ad31b555f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f011e3d1d8961056cd7c334bd36edf.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/823ffd4e5eab74838bcaa63202bdb9a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b93c0a7a990bfd7c5b0af6cbc0f02b.png)
您最近一年使用:0次
2023-02-22更新
|
4397次组卷
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13卷引用:山东省菏泽市2023届高三下学期一模联考数学试题
山东省菏泽市2023届高三下学期一模联考数学试题山东省烟台市芝罘区高中协同联考2023届高三三模数学试题山东省淄博市第一中学2022-2023学年高二下学期第一次学习质量检测数学试题山东省青岛市青岛第五十八中学2023-2024学年高三上学期10月月考数学试题(已下线)专题4 数列专题13数列(解答题)(已下线)专题15 数列求和-1(已下线)专题15 数列不等式的证明 微点6 数列不等式的证明综合训练(已下线)第四节 数列求和 (讲)(已下线)专题05 等比数列与数列综合求和-2023-2024学年高二数学期末复习重难培优与单元检测(人教A版2019)(已下线)数列与不等式专题04数列求和(裂项求和)(已下线)专题05 数列在高中数学其他模块的应用(九大题型+过关检测专训)-2023-2024学年高二数学《重难点题型·高分突破》(人教A版2019选择性必修第二册)
名校
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5 . 某资料室在计算机使用中,出现如表所示的以一定规则排列的编码,表中的编码从左至右以及从上至下都是无限的,此表中,主对角线上的数字构成的数列1,2,5,10,17,…的通项公式为__________ ,编码99共出现__________ 次.
1 | 1 | 1 | 1 | 1 | 1 | … |
1 | 2 | 3 | 4 | 5 | 6 | … |
1 | 3 | 5 | 7 | 9 | 11 | … |
1 | 4 | 7 | 10 | 13 | 16 | … |
1 | 5 | 9 | 13 | 17 | 21 | … |
1 | 6 | 11 | 16 | 21 | 26 | … |
… | … | … | … | … | … | … |
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2022-05-08更新
|
778次组卷
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2卷引用:山东省滨州市2022届高三二模考试数学试题
名校
6 . 在数列
中,
,
,则以下结论正确的为( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71ea518c5f92e0cb508f33494d3a5671.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d83cd21ff86cf24e58857d1d53c0056.png)
A.数列![]() |
B.![]() |
C.当![]() |
D.当数列![]() |
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2022-03-08更新
|
2539次组卷
|
11卷引用:百师联盟(山东省新高考卷)2021-2022学年高三下学期开年摸底联考数学试题
百师联盟(山东省新高考卷)2021-2022学年高三下学期开年摸底联考数学试题湖南省百师联盟2021-2022学年高三下学期开年摸底联考数学试题江苏省盐城市阜宁中学2022届高三下学期第三次综合测试数学试题(已下线)第37练 等差数列广东省广州市四校联考2022-2023学年高二上学期期中数学试题第四章 数列(单元测)湖北省襄阳市第四中学2022-2023学年高二上学期12月月考数学试题江苏省扬州市仪征中学2022-2023学年高三下学期3月学情测试数学试题湖北省恩施州巴东县第一高级中学2023-2024学年高二上学期第五次月考数学试题(已下线)专题04 数列(5)广东省广州市培英中学2023-2024学年高二下学期3月质量检测数学试题
7 . 已知正项数列
的首项
,前
项和为
,且满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d71b292a64c2c46cf5ecac8eeeb867ac.png)
(1)求数列
的通项公式:
(2)设
数列
前
和为
,求使得
成立的
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.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/d71b292a64c2c46cf5ecac8eeeb867ac.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/216876de04325fd250c38c485cbc34b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/287e39a7f570c8dc09e07471c5d7fa33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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8 . 已知数列
满足
是
的等差中项,若
,则实数
的取值范围为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6c617d028b3b258303cff112bf62106.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/facde9407cfbabd0a8ff1a1d0d1776a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97357113391b596582debab3231dde32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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2018-04-17更新
|
720次组卷
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4卷引用:【全国百强校】山东省实验中学(西校区)2019届高三11月模拟考试数学(文)试题
9 . 已知数列
满足
,
,
,且数列
前
项和为
.
(Ⅰ)求数列
的通项公式及
;
(Ⅱ)若
,求正整数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9b6e51986fe5d7a7265e0e93adcb4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9cda4686449060f03ecf8ae04f891fb.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)
(Ⅰ)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9b096e3e4bb5950794a74ec46a53151.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a729b0ef2efd475a7c57a1527b2f50c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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