名校
1 . 已知等差数列
的前
项和
满足
且
的最大项为
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/554e6c461ccc5aa3093c524aa528a4e2.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/2f73ca54b44167df05297d7200c4fde6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/846fa57d92d6ad44d6a0cafad1e71ed4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1752474698cd5466dd180df0a00ba9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f318d5dd50fe7202895f0b67818ff4b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/554e6c461ccc5aa3093c524aa528a4e2.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
2 . 已知{an}为等差数列,a1+a2+a3=165,a2+a3+a4=156,{an}的前n项和为Sn,则使得Sn达到最大值时,n=( )
A.19 | B.20 | C.21 | D.22 |
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2020-03-22更新
|
295次组卷
|
4卷引用:湖北省襄阳市第四中学2019-2020学年高三上学期9月联考数学(文)试题
3 . 已知等差数列
的首项
,公差为
,前
项和为
.若
恒成立,则公差
的取值范围是( )
![](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/5c02bc0c74292b1e8f395f90935d3174.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/3523a941f4af78066c6f587e8d001df0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2020-05-27更新
|
266次组卷
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2卷引用:2020届湖北省七市(州)教科研协作体高三下学期5月联合考试文科数学试题
名校
4 . 若等差数列
的公差为-2,且
是
与
的等比中项,则该数列的前n项和
取最大值时,n的值等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65fc200f10b97588a0c9896277c9c64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5da4cd81500bdb43118150dbdb1541e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
A.4 | B.5 | C.6 | D.7 |
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5 . 设等差数列
的前
项和为
,
且
,当
取最大值时,
的值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d737c1047a14cee12a6671383e244fa5.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/d157b8c366da862bb263221f2c566f5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffc4bbb78ec21bbdf52af21cb324aff1.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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2016-12-04更新
|
935次组卷
|
8卷引用:湖北省荆州市石首市第一中学2021-2022学年高二上学期12月月考数学试题
湖北省荆州市石首市第一中学2021-2022学年高二上学期12月月考数学试题2016届吉林省长春市普通高中高三质量监测二理科数学试卷2016届吉林省长春市普通高中高三质量监测二文科数学试卷(已下线)二轮复习 【理】专题9 等差数列、等比数列 押题专练(已下线)二轮复习【文】专题9 等差数列、等比数列 押题专练【市级联考】贵州省遵义市2019届高三第一次联考理科数学试题2020届山西省太原市第五中学高三11月阶段性考试数学(文)试题浙江省金华市山河联盟2019-2020学年高一下学期期中数学试题
6 . 等比数列
中,
,
,则数列
的前
项和的最大值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a316124e688e76d6f330ffbea49d427d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25131d323ad4304473cbd09ac0c1bb02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d3e6ff7cf0e15a8bfa8d5ea23a6d153.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
A.15 | B.10 | C.![]() | D.![]() |
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2018-12-07更新
|
402次组卷
|
3卷引用:【市级联考】湖北省荆州市2019届高三上学期质量检查(一)数学(文)试题
名校
解题方法
7 . 已知等差数列
的前
项和为
,
,
,则当
取得最大值时,
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/f70d07ee08ba8455bae931aa7e165ed8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e585900bbcf9f9e4dbba51a05225ead9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
A.7 | B.8 | C.9 | D.10 |
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2017-11-28更新
|
754次组卷
|
4卷引用:湖北省武汉二中、麻城一中2016-2017学年高一下学期期中考试数学(文)试题
名校
8 . 在等差数列
中,
,
且
,
为数列
的前n项和,则使
的
的最大值为.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f354d29ae9041c5b1f575b95dd59d79c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6b65094560149ed9b478501e012b277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d24afae78ccef0126afd56742d18375.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/49763402b2f2023f0ba64c37924267d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
A.31 | B.32 | C.33 | D.34 |
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2018-04-29更新
|
588次组卷
|
3卷引用:【全国校级联考】湖北省部分重点中学2017-2018学年高一下学期期中考试数学(文)试题
9 . 已知首项为正的等差数列
的前
项和为
,
,若对于任意的
,都有
,则
( )
![](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/b5f6ad6c0bcf5405a26fcd1339860224.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e145b6046bc80d0ffecc61ac67c87ca1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1340718507150998c9ac8fc3c119d649.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
A.8 | B.9 | C.8或9 | D.9或10 |
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解题方法
10 . 等差数列
的前
项和为
,公差为
,则( )
![](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/5c02bc0c74292b1e8f395f90935d3174.png)
A.![]() ![]() |
B.![]() ![]() |
C.![]() ![]() |
D.![]() ![]() |
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