11-12高二上·辽宁锦州·期末
名校
解题方法
1 . 等差数列
满足
,且
,则使数列前n项和
最小的n等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a78c2f5715ff6823e4bb142c72d0dcee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df93c3ba86ea86c617ca7cf0236c7f53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
A.5 | B.6 | C.7 | D.8 |
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2020-12-20更新
|
209次组卷
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4卷引用:2010-2011年辽宁省北镇高中高二上学期期末考试数学文卷
(已下线)2010-2011年辽宁省北镇高中高二上学期期末考试数学文卷宁夏平罗中学2020-2021学年高二上学期期中考试数学试题宁夏石嘴山市平罗中学2020-2021学年高二上学期期中数学试题江西省贵溪市实验中学2020-2021学年高一3月第一次月考数学试题
名校
2 . 已知数列
满足
,
,且
.
(1)求证数列
是等比数列;
(2)已知数列
的前
项和为
,且
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57bfc1f8772f31748bfdc280d0712fc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1888b953353c6fff1118492cadedd03c.png)
(1)求证数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e2de706dc5f0439b989273a5367f63a.png)
(2)已知数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.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/5564f86c769d1ab8b27f76e438aa7d78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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4卷引用:陕西省宝鸡市长岭中学2020-2021学年高二上学期期中数学(理)试题
名校
3 . 记
为等差数列
的前
项和,已知
,
.
(1)求
的通项公式;
(2)求
,并求
的最小值.
![](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/738dc67ac3b150252a964d1ffe3dfa63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b83e924a3d18ac686e83cb4770784f0f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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4 . 记
为等差数列
的前n项和,已知
,从以下两个条件中任选其中一个(1)
.(2)
.
(1)求公差d及
的通项公式;
(2)求
,并求
的最小值及取最小值时的项数.
![](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/df93c3ba86ea86c617ca7cf0236c7f53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4107fd29fbc133c073532ff21deae06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d44452ccfd15b9ebb6d4f68c348a7433.png)
(1)求公差d及
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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5 . 设
为等差数列
的前
项和,
,
.
(1)求
的通项公式;
(2)求
的最小值及对应的
值.
![](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/ddb1d153bc13fc0c590a08a105e21ee7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/334ca6bda6ea24a5e63a012201d442c3.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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2020-12-08更新
|
810次组卷
|
6卷引用:河南省名校联盟2020-2021学年高二上学期12月联合考试数学(理)试题
6 . 设等差数列
的前
项和为
,若
,则当
取最小值时,
的值为( )
![](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/5254024352ab90555a91b1b5647d0a45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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|
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名校
7 . 已知等差数列
中,前
项和
,则使
有最小值的
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/93153c9cb92cdc5b40dc102b5eb6968c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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8卷引用:沪教版 高二年级第一学期 领航者 第七章7.9 复习与小结(1)
沪教版 高二年级第一学期 领航者 第七章7.9 复习与小结(1)上海市浦东新区2016-2017学年高二上学期期中数学试题(已下线)2.3等差数列的前n项和(2) -2020-2021学年高二 数学课时同步练(人教A版必修5)上海市新场中学2020-2021学年高二上学期第一次月考数学试题(已下线)4.2.2 等差数列的前n项和(2)-2020-2021学年高二数学课时同步练(人教A版选择性必修第二册)沪教版(2020) 选修第一册 领航者 第4章 复习与小结(1)沪教版(2020) 选修第一册 单元训练 第4章 数列(B卷)上海市市西中学2021-2022学年高二上学期期末数学试题
名校
解题方法
8 . 设等差数列
的前
项和为
,
且
,则当
取最小值时,
的值为( )
![](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/179513ce80436471efbe1d9b31735f7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d88062de27fcd3a6789a3b6e7170ce56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
A.![]() | B.![]() | C.![]() | D.![]() ![]() |
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2020-12-05更新
|
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3卷引用:甘肃省永昌县第一中学2020-2021学年高三上学期第一次月考数学理试题
解题方法
9 . 下列结论不正确的是( )
A.若一个数列从第二项起每一项与它的前一项的差都是同一个常数,则这个数列是等差数列 |
B.等差数列的前![]() ![]() |
C.等比数列![]() ![]() ![]() ![]() ![]() ![]() |
D.如果数列![]() ![]() ![]() ![]() ![]() |
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2020-12-04更新
|
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|
2卷引用:广东省普宁市2020-2021学年高二上学期期中质量测试数学试题
10 . 设等差数列
的首项为
,公差为d,其前n项和为
,已知
,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/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ff74bfcb7a30af3a43cf9d6365cafab.png)
A.![]() | B.![]() | C.![]() ![]() ![]() | D.![]() |
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