名校
1 . 公差不为零的等差数列
满足
,
为
前
项和,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/489aa86efed78d9760da9c2047bee13f.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/b6a24198bd04c29321ae5dc5a28fe421.png)
A.![]() | B.![]() ![]() |
C.当![]() ![]() | D.当![]() ![]() |
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2020-11-14更新
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4卷引用:湖南省衡阳市第八中学2020-2021学年高二上学期10月月考数学试题
2 . 已知公差小于零的等差数列{an}的前n项和为Sn,且满足a3a4=117,a2+a5=22.
(1)求数列{an}的通项公式;
(2)求Sn的最大值.
(1)求数列{an}的通项公式;
(2)求Sn的最大值.
您最近一年使用:0次
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3 . 设等差数列
的前
项和为
,若
,
,则
的最小值等于( )
![](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/a75739be7640de2ab1c3e191b9857a40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c59b1a247775febe0106ba3898b9111e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
A.-34 | B.-36 | C.-6 | D.6 |
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解题方法
4 . 植树节某班41名同学在一段直线公路一侧植树,每人植一棵,相邻两棵树相距10米.开始时需将树苗集中放置在第
(
)个树坑旁边,则将树苗集中放置在第______ 个树坑旁边,使每位同学从各自树坑出发前来领取树苗往返所走的路程总和最小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad82ad586ffd4d15e8be3bfe38f73941.png)
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5 . 已知等比数列
的各项均为正数,且
.
(1)求数列
的通项公式;
(2)设
,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/f6056f33296e7ef8209cfb5b3340cb4d.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f4a57cc10613c6b261ac3a8649cbdaf.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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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解题方法
6 . 若等差数列
的前
项和为
,
,
,则使
取得最小值时,
的值为( )
![](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/b21d745772edddb6562cb62051534a0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec6d08f9da63ab23c11e688e84adb84e.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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解题方法
7 . 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
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4卷引用:2020届湖南省衡阳八中、澧县一中高三上学期11月联考数学(理)试题
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8 . 在等差数列{an}中,其公差d≠0,若S7=S12,现有以下四个命题:
①S19=0;②S10=S9;③若d>0,则Sn有最大值;④若d>0,则Sn有最小值.
则关于这四个命题,正确的是
①S19=0;②S10=S9;③若d>0,则Sn有最大值;④若d>0,则Sn有最小值.
则关于这四个命题,正确的是
A.①②③ | B.①②④ | C.①④ | D.②③. |
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9 . 设等差数列{an}的前n项和为Sn,首项a1>0,公差d<0,a10
S21<0,则Sn最大时,n的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c97ec04a1aa7ac6fce72d589864940a2.png)
A.11 | B.10 | C.9 | D.8 |
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2020-03-16更新
|
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|
6卷引用:湖南省长沙市明德中学2019-2020学年高二下学期入学考试数学试题
10 . 已知
为等差数列,
,
,
的前
项和为
,则使得
达到最大值时
是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/177116f5ba69062bdf9e7a47c7e53225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8adac395462a3f296fed3d80e9f03b54.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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
A.19 | B.20 |
C.39 | D.40 |
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2020-01-19更新
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2卷引用:湖南省岳阳市2019-2020学年高三上学期末数学理科试题