名校
解题方法
1 . 已知数列
前
项和为
,且满足
.
(1)求
;
(2)若数列
满足
,设数列
的前
项和为
,求
的最小值.
![](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/9111d1bcc2ae978e0c94102655e2dfc5.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9cba718dd671945f09bd738edb78ee5.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3711ae102d430b9d1122fe8a09a7a3b0.png)
![](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/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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名校
2 . 下列结论正确的是( )
A.对于实数![]() ![]() ![]() ![]() |
B.对于实数![]() ![]() ![]() ![]() |
C.若等比数列![]() ![]() ![]() ![]() ![]() |
D.若数列![]() ![]() ![]() ![]() ![]() |
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2021-11-01更新
|
256次组卷
|
2卷引用:广西河池市八校2021-2022学年高二上学期第一次联考数学(理)试题
3 . 设等差数列
的前
项和为
,已知
.
(1)求
的通项公式;
(2)求
取最小值时的项数.
![](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/6a3153cfd5543a54ee1308be3b761569.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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名校
解题方法
4 . 设等比数列
满足
,
,则使
最大的n为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5ef35b21da4cd8130642539d8245f83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17cf962f8801d1a4845df3720f685e3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b422a39788aeb7ad87dfc81ec9e96a6.png)
A.![]() | B.3 | C.3或4 | D.4 |
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2021-10-27更新
|
938次组卷
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7卷引用:广西师范大学附属外国语学院2021-2022学年高二11月月考数学(理)试题
名校
5 . 设等差数列
的前
项和为
,且满足
,
,则
中最大的项为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3386ba4ce18b95fa0ecd58d9a042e12.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/c6642b5f9a8e0056585f99bc56e65547.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2021-10-15更新
|
668次组卷
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2卷引用:广西师范大学附属外国语学校2021-2022学年高二10月月考数学试题
解题方法
6 . 在等差数列{an}中,a1+a3+a5=105,a2+a4+a6=99,以Sn表示{an}的前n项和,则使Sn达到最大值的n是___________ .
您最近一年使用:0次
名校
解题方法
7 . 设等差数列
的前项和为
,若
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f849c711ca5d5bc67adb6545abb72886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
A.![]() | B.![]() | C.36 | D.![]() |
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8 . 已知等差数列
中,
.
(1)求数列
的通项公式;
(2)当
为何值时,数列
的前
项和取得最大值?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83ab6a8ce6af406a30b699ba82418636.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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2021-11-21更新
|
973次组卷
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9卷引用:广西蒙山县第一中学2021-2022学年高二上学期第二次月考数学(理)试题
广西蒙山县第一中学2021-2022学年高二上学期第二次月考数学(理)试题(已下线)第六课时 课中 4.2.2.2等差数列前n项和的最值及应用上海市第二中学2021-2022学年高二上学期12月月考数学试题步步高高二数学暑假作业:【理】作业9 等差数列步步高高二数学暑假作业:【文】作业9 等差数列山东省临沂市临沭县第一中学2019-2020学年高二上学期开学考试数学试题江苏省宿迁市北大附属宿迁实验学校2022-2023学年高二上学期11月期中数学试题山东省日照国开中学2022-2023学年高二下学期3月月考数学试题(已下线)艺体生一轮复习 第六章 数列 第26讲 等差数列【讲】
名校
9 . 已知正项等比数列
的前
项和为
.
(1)求数列
的通项公式;
(2)令
,记数列
的前
项和为
,求
的最大值.
![](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/9a5303f1a042a306bb3b89bedde4631a.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90b97bd734bff66df121fb8199c9d864.png)
![](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/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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2021-02-06更新
|
483次组卷
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4卷引用:广西河池市2020-2021学年高二上学期期末数学(文)试题
10 . 在等差数列
中,若
为其前n项和,若
,
,则使
最小的n的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b95a1c9b86f4d0024c80b41a8cfea8b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f32a4fb128e52e9a8daf2025e25a14b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
A.14 | B.13 | C.8 | D.7 |
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