10-11高三上·湖北黄冈·阶段练习
名校
1 . 已知数列
是一个公差大于
的等差数列,且满足
,
.
(Ⅰ)求数列
的通项公式;
(Ⅱ)若数列
和数列
满足等式:
(
为正整数),求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a5e0afa048e0528e85e1e9e23995ef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0997f872e498cb3db3198a824d694c3.png)
(Ⅰ)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(Ⅱ)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e4d951cb4393aeb895c71fae7e1a565.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.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
2016-11-30更新
|
1346次组卷
|
12卷引用:北京市人大附中2017-2018学年高三十月月考数学(文)试题
北京市人大附中2017-2018学年高三十月月考数学(文)试题2017年北京市人大附高三文十月月考试题(已下线)2011届湖北省黄冈中学高三10月月考理科数学试题(已下线)2011届浙江省金华一中高三模拟考试数学(文)2015-2016学年贵州花溪清华中学高一6.25周练数学卷河南省南阳市第一中学2017-2018学年高二上学期第一次月考数学试题【全国百强校】广东省华南师范大学附属中学2019届高三上学期第二次月考数学(文)试题人教A版 成长计划 必修5 第二章数列 高考链接苏教版(2019) 选修第一册 必杀技 第四章 专题6 数列的综合应用人教B版(2019) 选修第三册 必杀技 第五章 专题3 数列的综合应用浙江省杭州学军中学2021-2022学年高二下学期数学竞赛试题福建省南安国光中学2023届高三上学期10月月考数学试题
名校
2 . 数列
的前
项和为
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbfc875ca919921e8f63a6fca648561b.png)
_______ .
![](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/61fbafa756bf2da0e79bc1e1588cb53f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbfc875ca919921e8f63a6fca648561b.png)
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3 . 已知数列
中,前n项为和
其中n∈N*,
=1,再从条件①,条件②,条件③这三个条件中选择一个作为已知,使得数列
唯一确定并解答以下问题:
(1)求
的通项公式;
(2)数列
中是否存在三项成等差数列?请写出解答过程.
注:如果选择多个条件分别解答,按第一个解答计分.
![](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/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
条件①:![]() ![]() ![]() |
您最近一年使用:0次
名校
4 . 已知
为数列
的前n项和,且
,则
=___________ ;数列
的通项公式为____
![](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/89198457c39e26e48bdef27c42ae7acb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
您最近一年使用:0次
名校
5 . 已知数列
的前
项和
满足
.
(Ⅰ)求
,
,
的值;
(Ⅱ)已知数列
满足
,
,求数列
的通项公式.
![](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/92e9c35ac3a0cc139b50d2cf4b7a08ee.png)
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
(Ⅱ)已知数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/385275d29d8c8a7841eaeaa3dfab2cdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e194e7f25976502f399a81c56396ebd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
您最近一年使用:0次
2018-04-14更新
|
665次组卷
|
3卷引用:北京市朝阳区2018年高三一模数学(文)试题
解题方法
6 . 已知数列
的前
项和
满足
,
,
.
(1)如果
,求数列
的通项公式;
(2)如果
,求证:数列
为等比数列,并求
;
(3)如果数列
为递增数列,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://img.xkw.com/dksih/QBM/2015/3/4/1571991218978816/1571991224967168/STEM/7c636ecab57248cb91f6f9cd4f56506a.png?resizew=13)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f1f75a83ba2567f7ec5b0f735afee31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ce7cc3b5e1c128869095ebab91100c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba8e3c9f6f00803d033d60ecc03be61a.png)
(1)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/558e11d700481dc414d5d073b4b88a3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f2f2d7c81cb44416bcdf59419637682.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbe110635863de83f12009fc1d76d408.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(3)如果数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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10-11高二上·河南周口·期中
名校
7 . 若数列
满足
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dbd9ff686703cad03aa383e5fec21.png)
_____________ ;前8项的和![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae9ad4e59d7081cf19021423a984bc29.png)
______________ .(用数字作答)
![](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/02ce9d5623b21817dd182b9058dc271a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dbd9ff686703cad03aa383e5fec21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae9ad4e59d7081cf19021423a984bc29.png)
您最近一年使用:0次
2018-11-16更新
|
264次组卷
|
6卷引用:北京市北京师范大学附属实验中学2023-2024学年高二下学期期中考试数学试卷
北京市北京师范大学附属实验中学2023-2024学年高二下学期期中考试数学试卷(已下线)2010年河南省周口市高二上学期期中考试数学卷(已下线)2011年河南省卫辉市第一中学高二上学期末文科数学卷人教A版 全能练习 数列 本章基础排查(一)陕西省黄陵中学2019-2020学年高二上学期期中考试数学试题沪教版(上海) 高二第一学期 新高考辅导与训练 第7章 数列与数学归纳法 7.3(3)等比数列的求和公式
8 . 现有
个(
)实数
,它们满足下列条件:①
,②
记这
个实数
的和为
,
即
.
(1)若
,证明:
;
(2)若
,满足题设条件的5个实数构成数列
.设
为所有满足题设条件的数列
构成的集合.集合
,求
中所有正数之和;
(3)对满足题设条件的
个实数构成的两个不同数列
与
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e0aacbe5c1d06633da14e88d91a3d92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82df2e4e85db5a0f6ea909805ac9f775.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03a24335c8f3b2391191405837e82208.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6fe0a3947b0984774eaaec05afddd4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82df2e4e85db5a0f6ea909805ac9f775.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1752474698cd5466dd180df0a00ba9c.png)
即
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/725c0894f1ca38c24155ee06e37e9ce5.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50e7dc98803a2a5e690decc3d25e8f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ae508dea164e429c1f0cc0c3631c59.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c7a1d739890a8951586e23b78b035bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e62d1138048a41c38578b8c810c1ce70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(3)对满足题设条件的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b764d9d35dae87b31711545f9864d2f1.png)
您最近一年使用:0次
9 . 设数列
的前
项和为
.已知
,
,
.
(1)写出
的值,并求数列
的通项公式;
(2)记
为数列
的前
项和,求
;
(3)若数列
满足
,
,求数列
的通项公式.
![](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/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eaedaa6a265377ba21daff547870267b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
(1)写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe61d313eeca8ba47478a9de40540db8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0496f142d8ae5acb06e83526eaa3ef87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
(3)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87ea014220aa658c8baa6e1f43e686a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f793e80c353209114454d3b1bac35e73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
您最近一年使用:0次
2016-12-02更新
|
976次组卷
|
3卷引用:北京丰台二中2018届高三上学期期中数学(文)试题
10 . 已知数列
的前
项和为
,满足
.
(1)求数列
的通项公式;
(2)设数列
的前
项积为
,求
.
![](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/87660fa17d1f4411d54f9680205d17da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3ddd6d99ad32dd7fdb1797d8cf94786.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设数列
![](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/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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2017-11-12更新
|
300次组卷
|
2卷引用:北京市朝阳区2018届高三上学期期中统一考试 数学(文科)试题