名校
1 . 已知等差数列
的前
项和为
,且
,
.
(1)求数列
的通项公式;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.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/66e97d1f9f403fafd6636751011b5724.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75261f63ca7ec7532f2837f3250a6f0c.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea683f71700aee5af8433feae98f029c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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2021-09-02更新
|
815次组卷
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4卷引用:内蒙古鄂尔多斯市第一中学2021-2022学年高二上学期第一次月考数学(文)试题
名校
2 . 在等差数列
中,
,且它的前
项和
有最小值,则当
时,
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274836a9699ffb38bb13781cf264195e.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/937228faf3b035ce9fb607ec96f707f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2021-02-05更新
|
868次组卷
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7卷引用:内蒙古鄂尔多斯市第一中学2020-2021学年高一下学期第三次月考数学(理)试题
3 . 在等比数列
中,
,
,且
,又
、
的等比中项为
.
(1)求数列
的通项公式;
(2)设
,数列
的前
项和为
,是否存在正整数
,使得
对任意
恒成立?若存在,求出正整数k的最小值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/390636a89883bd64bf8da9bf8654aff9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8e83d9286bb477e6418b0e9266f09c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65fc200f10b97588a0c9896277c9c64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c748e40ba21ac5063d3bccaa57ef278.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1aafbc3a22a687e3ee9948774f80d873.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/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed1b57291f42954d7487199f817f6f00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
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2020-10-27更新
|
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14卷引用:内蒙古鄂尔多斯市四旗2020-2021学年高二上学期期末联考理科数学试题
内蒙古鄂尔多斯市四旗2020-2021学年高二上学期期末联考理科数学试题河南省郑州市一中2017-2018学年高二年级上学期期中模拟数学试题(已下线)二轮复习 【理】专题9 等差数列、等比数列 押题专练高中数学人教A版必修5 第二章 数列 2.5.3 数列的应用 (3)【全国百强校】辽宁省师范大学附属中学2019届高三上学期期中考试文科数学试题智能测评与辅导[理]-数列的综合应用河南省安阳市滑县2019-2020学年高二上学期期末数学(理)试题河南省安阳市滑县2019-2020学年高二上学期期末数学(文)试题辽宁师范大学附属中学2018-2019学年高三上学期第一次模块考试数学(文)试题2020届河北省新乐市第一中学高三下学期高考冲刺数学试题辽宁省盘锦市第二高级中学2019-2020学年高二上学期期末考试数学试题吉林省长春市实验中学2019-2020学年高一下学期期末考试数学(理)试卷(已下线)第四章++数列1(能力提升)-2020-2021学年高二数学单元测试定心卷(人教A版2019选择性必修第二册)(已下线)本册内容检测(基础卷)-《阳光测评》2020-2021学年高二数学单元提升卷(人教A版2019选择性必修第二册)
4 . 设等差数列
的前n项和为Sn,其中
.
(1)求数列
的通项公式;
(2)若Sn,2
(an+1+1),Sn+2成等比数列,求正整数n的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/894aaec56149f880c7cf2bbc0f358d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78c945b5d808517d5945dffaa13633c4.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/894aaec56149f880c7cf2bbc0f358d2b.png)
(2)若Sn,2
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
您最近一年使用:0次
解题方法
5 . 设等差数列
的前
项和为
,其中
,
.
(1)求数列
的通项公式;
(2)若
,
,
成等比数列,求正整数
的值.
![](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/d1928c254cfada1f75a5cd1e34db5a63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5032706dd285c22e149c675da465d9ac.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/578d525031a17a371ae5d30f827450eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c0dc247f1752c3e94d5c49fc51db18d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
名校
解题方法
6 . 已知公差不为零的等差数列
满足
,且
,
,
成等比数列.
(1)求数列
的通项公式;
(2)若
,且数列
的前
项和为
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5032706dd285c22e149c675da465d9ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fd71bc7e6668f90f259ad0b06dd60c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33e11a5b70e1e2e685d1783a4707872e.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef5b17415ff3990ef9479c20f7575ee7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.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/c215db1d8f69757118ad405b78035628.png)
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2019-06-12更新
|
3527次组卷
|
8卷引用:内蒙古鄂尔多斯市第一中学2018-2019学年高二下学期期末数学(理)试题
7 . 在正项无穷等差数列
中,
为其前
项和,若
,
,则
的最小值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29518f13a1ebc3fff8181c2d7cfba22f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b708c8dcb2d66eb2ce0b3718a9cd924a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f883388e60eb4893b32c9cd46d0e6dee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc6679c231b6c45cdb2454cc21b67288.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a046fcceb52026d2d6fd79adc3501463.png)
您最近一年使用:0次
名校
8 . 已知各项都不相等的等差数列
,又
构成等比数列.
(1)求数列
的通项公式;
(2)设
,求数列
的前n项和为
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e174f98e140f98579e8fa868561545cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1fee1b9fcee0220968516047cd9179f.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e61a1c43b3d09c1d74d897d60caa6a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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2018-11-18更新
|
1020次组卷
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8卷引用:【市级联考】内蒙古鄂尔多斯市2019届高三上学期期中考试数学(文)试卷
10-11高二·山西·阶段练习
真题
名校
9 . 设
为等差数列,
为数列
的前
项和,已知
,
,
为数列
的前
项和,求
.
![](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/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57f24d2ada5ab0a27cdb322b0f0090b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21d54406efec60657dfbf8666d3ad56e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb3dbd0e9e925768abdfa55f287fecff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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12卷引用:【全国百强校】内蒙古鄂尔多斯市第一中学2017-2018学年高一下学期期末考试数学(文)试题
【全国百强校】内蒙古鄂尔多斯市第一中学2017-2018学年高一下学期期末考试数学(文)试题(已下线)2011年山西大学附中高二二月月考数学理卷(已下线)2011届湖北省天门市高三模拟考试(一)文科数学山西省朔州市怀仁一中2018-2019学年高一下学期第四次月考数学(理)试题上海市大同中学2016-2017学年高一下学期第二次月考数学试题沪教版(上海) 高三年级 新高考辅导与训练 第四章 数列与数学归纳法 本章测试(已下线)5.2.2 等差数列的前n项和(课后作业)-2020-2021学年高中数学同步备课学案(2019人教B版选择性必修第三册)(已下线)考点25 数列求和及其运用-备战2022年高考数学典型试题解读与变式2000年普通高等学校招生考试数学(文)试题(新课程卷)2000年普通高等学校招生考试数学(理)试题(旧课程卷)2000年普通高等学校招生考试数学(理)试题(新课程卷)(已下线)考点3 等差列的前n项和及其性质 2024届高考数学考点总动员【练】
名校
10 . 将全体正偶数排成一个三角形数阵:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/11/0ffbd305-07e9-43a2-81ab-e53f391b9b4d.png?resizew=151)
根据以上排列规律,数阵中第
行的从左至右的第3个数是__________ .
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/11/0ffbd305-07e9-43a2-81ab-e53f391b9b4d.png?resizew=151)
根据以上排列规律,数阵中第
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8715a3f984d2627afd7c40c61347b7cb.png)
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2017-04-27更新
|
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