名校
解题方法
1 . 在等差数列
中每相邻两项之间都插入
个数,使它们和原数列的数一起构成一个新的等差数列
,若
是数列
的项,则k的值不可能为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcfd4dbf61c64d922875d2b8bad02715.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae0fcf02ab751cc3910a0bc0872ac2a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
A.1 | B.3 |
C.5 | D.7 |
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2 . 已知公差不为0的等差数列
的前n项和为
,且
,S3,S4成等差数列,a1,a2,a5成等比数列.
(1)求数列
的通项公式;
(2)若S4,S6,Sn成等比数列,求n的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e4350dddc7cca2eac5f2671c6ea8370.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1fab67394d1d8c7cf9b5e13f4ad70c8.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(2)若S4,S6,Sn成等比数列,求n的值.
您最近一年使用:0次
2022-01-04更新
|
315次组卷
|
2卷引用:山西省运城市芮城中学2021-2022学年高二上学期12月月考数学试题
名校
解题方法
3 . 已知数列
满足:
,且
.
(1)求数列
的通项公式;
(2)数列
满足
,若
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1eac9b100cd857ace1a9f9c620c544f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13a6e1d671215fc96e4bee3541d1096.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
(2)数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b7e7cd571c8cd141cbbfe5d0890bf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3784967da484a067df83d02faa168c60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77901e2b2541f7ecb29b1e458ed8a47c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba50923e8b808c85d7a83ea5805621d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2022-01-02更新
|
762次组卷
|
5卷引用:山西省运城市景胜中学2021-2022学年高二上学期1月月考数学试题
名校
4 . 已知等差数列
满足
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7abe2dbf91b745e81aa97bee35b0bda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0382b4a2ab0657d2d6830bb6be2b17b6.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2021-12-31更新
|
1219次组卷
|
3卷引用:山西省长治市第二中学校2021-2022学年高二上学期第二次月考数学试题
名校
5 . 已知数列
满足
,
,
为数列
的前
项和,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/302ae08810ef07e1ec320eb3ae8dbd48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41b60dd4692d64793b2880a5ad18ad48.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/08eb71ecf8d733b6932f4680874dbbf3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
6 . 设等差数列
的前
项和为
,若
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/279e950377a9e13ede6646298390aed0.png)
(1)求数列
的通项公式;
(2)求数列
的前
项的和
.
![](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/fcabb62c63cce7e3fa9f6203ecc5aeab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/279e950377a9e13ede6646298390aed0.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b91adba8efbf964e9e35547b0fd0ea36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
2021-12-31更新
|
612次组卷
|
4卷引用:山西省山西师范大学实验学校2021-2022学年高二上学期第二次月考数学试题
山西省山西师范大学实验学校2021-2022学年高二上学期第二次月考数学试题河南省安阳市第三十九中学2022-2023学年高二上学期第一次加密考试数学试题(已下线)第04讲 复习课-数列-【寒假自学课】2022年高二数学寒假精品课(苏教版2019选择性必修第二册)(已下线)2023年高考全国乙卷数学(文)真题变式题16-20
名校
7 . 已知在前
项和为
的等差数列
中,
.
(1)求数列
的通项公式;
(2)求数列
的前
项和
.
![](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/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d1101e42c1c62b270bac02095c3247d.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b91adba8efbf964e9e35547b0fd0ea36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
2021-12-29更新
|
902次组卷
|
7卷引用:山西省介休市第一中学校2022-2023学年高二上学期12月月考数学试题
山西省介休市第一中学校2022-2023学年高二上学期12月月考数学试题河北省武安市第三中学2021-2022学年高二上学期第二次月考数学试题(已下线)第04讲 复习课-数列-【寒假自学课】2022年高二数学寒假精品课(苏教版2019选择性必修第二册)(已下线)专题19 数列解答题20题-备战2022年高考数学冲刺横向强化精练精讲(已下线)2023年高考全国乙卷数学(文)真题变式题16-20江西省宜春市丰城市第九中学(日新班)2022-2023学年高一下学期期末考试数学试题黑龙江省双鸭山市饶河县高级中学2021-2022学年高二上学期期末数学试题
8 . 已知等差数列
的前n项和为
,
,
,则
,
的等差中项为( )
![](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/716c17463008cce9c8c6e4c14c8c6131.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2cb4485663835fc40a9cf82f491d5b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d27182444d3da4003680f07ec299087c.png)
A.![]() | B.![]() | C.9 | D.13 |
您最近一年使用:0次
9 . 在等差数列
中,
,
.
(1)求
的通项公式;
(2)求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/888cc0e4792d7fdbd704837a26fd0b7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/feff63be81acfd0efa846fe6098118e2.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b91adba8efbf964e9e35547b0fd0ea36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
2021-12-27更新
|
797次组卷
|
2卷引用:山西省2021-2022学年高二上学期12月联考数学试题
解题方法
10 . 已知等差数列
的公差为d,前n项和为
,数列
为递增的等比数列,公比为q,前n项和为
,且
.
(1)求数列
的通项公式;
(2)设
的前n项和为
,证明:
.
![](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/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/092c794d71dd9f51b5fce4068f095dba.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62e567d7e9761951a266953c8d5042ac.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48ac50e331f1beeef96d4226ce37879e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15526f7c892333030073b85fc3baee6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cc28a47e830ce0a97a03d57b5139e5.png)
您最近一年使用:0次