1 . 已知首项为
的数列
满足
,记数列
的前
项和为
.
(1)求
的值;
(2)求证:数列
是等差数列;
(3)求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f4ea13720f66cf0bac1e17dd1e05c7a.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)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/761eed1675f82dbe332cf200159272eb.png)
(2)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/099a64d86bd0b4602578d910322adc1b.png)
(3)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/340ea5c099596f891b6df420f66d0d09.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
2 . 已知数列
满足
,且
.
(1)求证:数列
是等差数列,并求出数列
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/7190d4bdff95645920063a39c1ac2660.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1ad9f9a39c1dbf0e9e2007d9dc5c21a.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c7cff8eadcec6863f526d0ad23e77fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求数列
![](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)
您最近一年使用:0次
2020-04-06更新
|
1354次组卷
|
5卷引用:湖北省十堰市第一中学2019-2020学年高一下学期4月月考数学试题
湖北省十堰市第一中学2019-2020学年高一下学期4月月考数学试题2020届山东省淄博市部分学校高三教学质量检测(二模)数学试题(已下线)冲刺卷06-决战2020年高考数学冲刺卷(山东专版)(已下线)提升套餐练06-【新题型】2020年新高考数学多选题与热点解答题组合练(已下线)第7篇——数列-新高考山东专题汇编
名校
解题方法
3 . 设数列
的前
项和为
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4649ba8c3570e62b55e8c6b05765dbcf.png)
(1)求证:数列
是等差数列;
(2)若
对
恒成立,求
的取值范围;
(3)若
,求数列
的前
项和
.
![](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/4649ba8c3570e62b55e8c6b05765dbcf.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cf2405a5421b7ce65e697cc351c8db8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2aa78c96db411c9e1e939ae16de78d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b587eacae7fb7e5632652851ae016368.png)
![](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
解题方法
4 . 设数列
的前项和为
,且
,
,则
的最小值是( )
![](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/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7c3413b4cbf026b5bb693402683e2b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1297b75020913d8a619a61043d5e0008.png)
A.![]() | B.2 | C.![]() | D.3 |
您最近一年使用:0次
5 . 已知数列
满足:
,
且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
(1)证明数列
是等差数列,并求出数列
的通项公式;
(2)令
求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed9d903ac6204997e82fb7ac5fb31082.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38c3a5b802f878f7227a6c4996d1f109.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
(1)证明数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/099a64d86bd0b4602578d910322adc1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe7002a31163771cfa7c578c20a1e816.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)
您最近一年使用:0次
名校
6 . 已知数列
满足递推关系:
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56c6ce06c1cd6542d0bb2bedaf66b8cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23dccc60738f39c78238b0670e4f319b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ea8d0e50065114b05ef2dc1ea1129cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56c6ce06c1cd6542d0bb2bedaf66b8cf.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2019-10-08更新
|
2986次组卷
|
5卷引用:湖北省武汉市第三中学2019-2020学年高一下学期5月月考数学试题
名校
解题方法
7 . 已知数列
中,
,其前
项的和为
,且当
时,满足
.
(1)求证:数列
是等差数列;
(2)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.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/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3c154da7ed535cfd1edf19bc6d907ae.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8050391385b496e9c059201e4f12600a.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fd74d291484f4da59ac2149d2ec135c.png)
您最近一年使用:0次
2019-12-01更新
|
1846次组卷
|
7卷引用:湖北省荆州中学、宜昌一中、龙泉中学三校2019-2020学年高三联考数学(理)试题
8 . 已知数列
、
满足
,且
.
(1)令
证明:
是等差数列,
是等比数列;
(2)求数列
和
的通项公式;
(3)求数列
的前n项和公式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e728c2a5646fa8710c2dbc7bce6514b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e5dd198659bda88c57290d3649cee6a.png)
(1)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1304c266f07c7bf2a4aa14b30460342e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38ef4c4439b36c2847b0056a116d56d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d813f3ca8db41a4db6c18eac30fef98.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
(3)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7beb0cd21a6c75fd9619fea5c9f7cf46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
您最近一年使用:0次
2019-11-30更新
|
351次组卷
|
2卷引用:湖北省黄冈市浠水县实验高级中学2019-2020学年高三12月月考数学(理)试题
名校
9 . 已知数列
满足:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b131459f256ac0dbe48c2ab99004a71.png)
(1)设数列
满足
,求
的前
项和
:
(2)证明数列
是等差数列,并求其通项公式;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b131459f256ac0dbe48c2ab99004a71.png)
(1)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7eebea8c428350d9ac3049a5098b84b.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)
(2)证明数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
您最近一年使用:0次
2019-10-14更新
|
308次组卷
|
3卷引用:湖北省襄阳市第一中学2019-2020学年高二下学期4月月考数学试题
名校
10 . 已知数列
的前
项和为
,
,
且满足
,若
,则
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/2cdf53108bee755f5aa9a34ea4d163e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d77060931748cee8c21b43d15033b22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bab579028a0ef0bd361c19b53d4995b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d8ea116e352734da63da74e77085ca7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2019-07-15更新
|
761次组卷
|
5卷引用:湖北省孝感市孝南区孝感高级中学2019-2020学年高二上学期9月月考数学试题