名校
1 . 已知等差数列
的前
项和为
,数列
是等比数列,
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74dbb10cee9a722f6551d6ee4f41ca84.png)
(1)求数列
和
的通项公式;
(2)若
,设数列
的前
项和为
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f636df3ea3c910b25ca80b6cad9a2233.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13a6e1d671215fc96e4bee3541d1096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59dd6c97d2ee3e74ba5730f1cbcc1d43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74dbb10cee9a722f6551d6ee4f41ca84.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8243ce002108803cac56f03f39389176.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38ef4c4439b36c2847b0056a116d56d4.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/c215db1d8f69757118ad405b78035628.png)
您最近一年使用:0次
2018-12-17更新
|
448次组卷
|
4卷引用:四川省盐亭中学2023届高三第三次模拟数学(理)试题
名校
2 . 已知等差数列
的公差大于0,且
,
,
,
分别是等比数列
的前三项.
求数列
的通项公式;
记数列
的前n项和
,若
,求n的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe229b24e2d56ff6b491725ceae4ff2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01ac9e9bb7ad36eed957a6f12d4d0c46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cb5ca241bb7c313ef0366d3ddba93bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca16a2100f1c46da14b6408189abd49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/476884a5f6a41c381191647d98e05800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bee4464b3b4eb6e52ee02f095aae84f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4141b26d2c32655003494a91ad6331b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe229b24e2d56ff6b491725ceae4ff2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65863c1abad833b79c303bfca24f535c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bee4464b3b4eb6e52ee02f095aae84f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b708c8dcb2d66eb2ce0b3718a9cd924a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98562f08bd10de0a2ca8be24d4636ba8.png)
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2018-11-09更新
|
1061次组卷
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6卷引用:【市级联考】四川省绵阳市2019届高三一诊数学(文科)试题
【市级联考】四川省绵阳市2019届高三一诊数学(文科)试题四川省绵阳市高中2019届高三第一次诊断性考试(理科)数学试题四川省绵阳市高中2019届高三第一次诊断性考试(文科)数学试题(已下线)2018年12月30日 《每日一题》(理数)人教必修5+选修2-1(高二上期末复习)-每周一测山东省济南市历城第二中学2019-2020学年高二上学期12月月考数学试卷(已下线)2019年12月29日《每日一题》必修5+选修2-1理数-每周一测
名校
解题方法
3 . 已知在递增等差数列
中,
,
是
和
的等比中项.
(1)求数列
的通项公式;
(2)若
,
为数列
的前
项和,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc858b7a95c5006a44067022da09f667.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd0338fcde8f73fab17844b7939afc01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.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/08c9965a04c2a6de04e949a15762f372.png)
您最近一年使用:0次
2018-02-07更新
|
766次组卷
|
5卷引用:四川省盐亭中学2023届高三第三次模拟数学(文)试题
名校
4 . 已知等差数列
的前
项和为
,
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10108956a38b7232eaee45a45b097b40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edcf2d8f98d925c3aa49802495c6546b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
A.10 | B.11 | C.12 | D.13 |
您最近一年使用:0次
2018-02-06更新
|
2494次组卷
|
10卷引用:四川省绵阳中学2021届高三高考仿真模拟试卷数学(文)试题(一)
四川省绵阳中学2021届高三高考仿真模拟试卷数学(文)试题(一)四川省成都市第七中学2018届高三上学期模拟测试(1.5)数学(理)试题2020届四川省宜宾市叙州区第一中学校高三三诊模拟考试数学(理)试题2020届四川省宜宾市叙州区第一中学校高三三诊模拟考试数学(文)试题四川省绵阳市南山中学2022-2023学年高三下学期3月月考数学(文)试题宁夏吴忠市2024届高三下学期高考模拟联考(一)文科数学试题安徽省定远重点中学2019届高三上学期第三次月考数学(理)试题(已下线)专题21等差等比数列性质的求解策略解题模板(已下线)4.2.2 等差数列的前n项和(精练)-2020-2021学年一隅三反系列之高二数学新教材选择性必修第二册(人教A版)新疆维吾尔自治区乌鲁木齐市第二十三中学2023-2024学年高二上学期期末数学试题
解题方法
5 . 设公差大于0的等差数列
的前
项和为
,已知
,且
成等比数列,记数列
的前
项和为
.
(1)求
;
(2)若对于任意的
,
恒成立,求实数
的取值范围.
![](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/9651204c54475c2e8cda8d0a6eeba177.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93633795bba1868384d1e5b6d8d4894b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba57c83d526ac308d1461e80fcca9f36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
(2)若对于任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e145b6046bc80d0ffecc61ac67c87ca1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb56cb650e1f3dbecdb39449e8e350ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
解题方法
6 . 如果
的首项
,其前n项和
满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5c81c886e0a331a1ad7f390d221e167.png)
_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ae547c376a9bea6d09a7b05830b3a4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a754dd7fd064a2738634d794a20ad27f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5c81c886e0a331a1ad7f390d221e167.png)
您最近一年使用:0次
7 . 设公差不为
的等差数列
的前
项和为
,若
,
,
成等比数列,且
,
,
,则
的值是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65fc200f10b97588a0c9896277c9c64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e84c30444f13d37ada78285dc4f83b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05e8eef76aab0dfc0fb7e1287d1f5c6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/624a820af0c23eab47fa20119f7ec9ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd1f0ace9ca0b79929e73af6c201c2e.png)
您最近一年使用:0次
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8 . 在公差不为0的等差数列
中,
,且
为
和
的等比中项,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dbd9ff686703cad03aa383e5fec21.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fd33b6c5a8037b0e80ac8fb6fad412d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc858b7a95c5006a44067022da09f667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dbd9ff686703cad03aa383e5fec21.png)
您最近一年使用:0次
2017-03-31更新
|
653次组卷
|
4卷引用:2017届四川绵阳市高三一诊考试数学(文)试卷
9 . 已知等差数列
的前
项和为
,且满足
.
(Ⅰ)求
的值;
(Ⅱ)若
且
成等比数列,求正整数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d737c1047a14cee12a6671383e244fa5.png)
![](https://img.xkw.com/dksih/QBM/2016/6/7/1572700095651840/1572700101402624/STEM/9818e78f93674d27969371197b8ada3b.png)
![](https://img.xkw.com/dksih/QBM/2016/6/7/1572700095651840/1572700101402624/STEM/a6f3b821b8ee48819f52fcec73b5847e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/203b3024f4c0fa6c4e34c9c44a853a4a.png)
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/194592cb77de8a597d5d64e1c85c3249.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6a69f580aebc4875818290af69b7708.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
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10 . 首项为-24的等差数列,从第10项起开始为正数,则公差d的取值范围是________ .
您最近一年使用:0次
2016-12-03更新
|
915次组卷
|
9卷引用:四川省绵阳市第一中学2019-2020学年高一下学期入学考试数学试题
四川省绵阳市第一中学2019-2020学年高一下学期入学考试数学试题2014-2015学年浙江省桐乡二中等三校高二上学期期中考试数学试卷安徽省滁州市定远县育才学校2017-2018学年高一(普通班)下学期第三次月考数学试题人教A版 成长计划 必修5 第二章数列 应用·拓展·综合训练苏教版(2019) 选修第一册 突围者 第4章 第二节 课时1 等差数列的概念、等差数列的通项公式人教A版(2019) 选修第二册 突围者 第四章 第二节 课时1 等差数列的概念(已下线)4.2.1 等差数列的概念2023版 苏教版(2019) 选修第一册 突围者 第4章 第二节 课时1 等差数列的概念、等差数列的通项公式广东省清远市连南瑶族自治县大坪镇大坪中学2020-2021学年高二上学期期中数学试题