名校
1 . 已知
为等差数列
的前
项和.若
,
,则当
取最大值时,
的值为___________ .
![](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/ce868ac245a30cc99db2b35b2fabc545.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b750a3d196e80aa0bace56a14c930c17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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2023-04-01更新
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5卷引用:青海省西宁市大通回族土族自治县2023届高三第二次模拟考试文科数学试题
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解题方法
2 . 数列
的前n项积为
,那么当
时,
=______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ceef1abeeef220b4fe5f7d96feedd90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
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2023-01-17更新
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6卷引用:青海省西宁市海湖中学2023届高三下学期开学考试数学(理)试卷
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3 . 已知等差数列
的前n项和为
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adf14ebc775db2414a5a960badca8960.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/232faf3b3aa63b4708168a3883dc2ec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adf14ebc775db2414a5a960badca8960.png)
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2022-12-16更新
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4 . 已知数列
满足
,且
,
表示数列
的前n项和,则使不等式
成立的正整数n的最小值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f21674b6a55437bd6f9125330c04f6af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.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/dd28fa524fbb3c454d64ca023e3f2c0c.png)
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5 . 设等差数列
的前n项和为
,已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ebce85ea9bc18815ef8887057030a63.png)
_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4834730a9ca84eef3d53965009f8c2c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ebce85ea9bc18815ef8887057030a63.png)
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2022-11-13更新
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8卷引用:青海省西宁市大通回族土族自治县2023届高三一模数学(理)试题
青海省西宁市大通回族土族自治县2023届高三一模数学(理)试题上海市市北中学2023届高三上学期期中数学试题上海市格致中学2023届高三上学期10月月考数学试题甘肃省靖远县第一中学等2校2023届高三上学期期末理科数学试题上海市实验学校2022-2023学年高一下学期期末数学试题(已下线)高二下期中真题精选(常考60题专练)-【满分全攻略】2022-2023学年高二数学下学期核心考点+重难点讲练与测试(沪教版2020选修一+选修二)(已下线)4.2 等差数列(1)(已下线)上海市高二下学期期末真题必刷02(基础题)--高二期末考点大串讲(沪教版2020选修)
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解题方法
6 . 已知等差数列
的前n项和为
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be87316ad507368b910a27ab0122b7f0.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b28ef6f1b2279af482557a8ea46f2e43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42598160e16a8bad39126fd35ae8b30d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be87316ad507368b910a27ab0122b7f0.png)
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2022-10-24更新
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7 . 设等比数列
的前n项和为
,若
,且
,则λ=________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5d5f4b98ab349b4b60dba53d460241f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0117669b9bd4ec227288fc3a46383fd.png)
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解题方法
8 . 已知等差数列
的公差是d,且
,则
的最大值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bbf90ea9e128f467a3402c501776115.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f69393cc0bc481c9026eef95f3b51659.png)
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9 . 在等比数列
中,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11f9f75b0ab56e33c9ce7b83090f59d8.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e56feab3dd45874d31dec6b687e43915.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a649b5bf396e810f21660e0f98518d1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11f9f75b0ab56e33c9ce7b83090f59d8.png)
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2022-06-07更新
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3卷引用:青海省2022届高三第四次模拟考试理科数学试题
10 . 在等差数列
中,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dbd9ff686703cad03aa383e5fec21.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d4c4a9f78db49b1093276b9ed67a1ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dbd9ff686703cad03aa383e5fec21.png)
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