1 . 已知数列
的前n项和为
,且
,
,则
( )
![](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/02ce9d5623b21817dd182b9058dc271a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12c970689f7cfbd9a18375f0bbf184e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9620357ea5be4037cfdccd09a27d3862.png)
A.-30 | B.-28 | C.30 | D.28 |
您最近一年使用:0次
解题方法
2 . 已知等比数列
的前n项和为
,若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/614306cc3f34bdee4d5d885b79667645.png)
______ .
![](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/2693734765399876e9e93cdb110231c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e8c45e4c4ab30665338dd87a2258f23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/614306cc3f34bdee4d5d885b79667645.png)
您最近一年使用:0次
名校
3 . 在等比数列
中,
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f966272f7781790ff27e40db6b525253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ed36c3182fd2d5278e4621a0159e56b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42e4487468ab2823d6dbf7f0ebd2eb38.png)
A.3 | B.![]() | C.9 | D.![]() |
您最近一年使用:0次
2023-06-20更新
|
390次组卷
|
3卷引用:重庆市长寿区2022-2023学年高二上学期期末数学试题(A卷)
4 . 已知数列
的前
项和为
,
.
(1)求数列
的通项公式;
(2)若
,数列
前
项和为
,是否存在实数
,使得
对任意
,
恒成立,若存在,求出实数
的所有取值;若处存在,说明理由.
![](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/c8370a173854471a3eb27637993a3d5d.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64f7fabc87f4d240542e84cd82282eb1.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d530fb8462e4b5215fa03911915a5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/930bc56406e69b785b37a83d48e36724.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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2023-01-18更新
|
750次组卷
|
2卷引用:重庆市长寿区2022-2023学年高二上学期期末数学试题(A卷)
名校
解题方法
5 . 在数列
中,
,
,
.
(1)设
,求证:数列
是等比数列;
(2)求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86fc336b4a83bf6d66c4afcc431597f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b59fac0a027bc7005e8e4ed946017f0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/655c46b33730f3a29b9ec3024df71375.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70e760fd67663947e5bd1800efdae057.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.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
2022-12-26更新
|
3482次组卷
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5卷引用:重庆市长寿中学校2022-2023学年高二上学期期末数学试题
名校
6 . 正项等比数列
中,
,则
的值是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3c3bb6822829ab970dde9079673f455.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fd9a5cad64dc29c81dec266269efa61.png)
您最近一年使用:0次
2022-11-24更新
|
1475次组卷
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9卷引用:重庆市长寿中学校2022-2023学年高二上学期期末数学试题
重庆市长寿中学校2022-2023学年高二上学期期末数学试题四川省德阳市德阳市第五中学2022-2023学年高二上学期期中数学(理)试题四川省德阳市德阳市第五中学2022-2023学年高二上学期期中数学(文)试题(已下线)专题10 等比数列小题专项训练山东省临沂市平邑县第一中学东校区2022-2023学年高二上学期期末数学试题上海交通大学附属中学2023-2024学年高二上学期10月月考数学试题江苏省南通市海安高级中学2023-2024学年高二上学期期中数学试题江苏省如东高级中学、如东县第一高级中学、徐州中学、沭阳如东高级中学、宿迁市第一高级中学2023-2024学年高二上学期第二次阶段测试数学试卷(已下线)专题04数列--高二期末考点大串讲(沪教版2020选修)
7 . 已知数列
满足
,
.等比数列
的公比为3,且
.
(1)求数列
和
的通项公式;
(2)记数列
,求数列
的前n项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f966272f7781790ff27e40db6b525253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/410c91728a8409b4f5ef8c3a9ad124f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cb8f26629780ee2c9807aea56c5b00.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)记数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/267055eae7af3a95da0cf1d02ff6fb90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
2022-10-14更新
|
1159次组卷
|
7卷引用:重庆市长寿区2022届高三上学期期末数学试题
重庆市长寿区2022届高三上学期期末数学试题内蒙古赤峰二中2020-2021学年高二上学期期末考试数学(理)试题甘肃省临洮中学2022-2023学年高二上学期第一次月考数学试题天津市汇文中学2022-2023学年高三上学期期中数学试题天津市滨海新区塘沽第一中学2022-2023学年高三上学期第一次月考(线下)数学试题江西省赣州市赣县第三中学2023届高三上学期期中适应性数学(文)试题(已下线)专题4-2 数列前n项和的求法-【高分突破系列】2022-2023学年高二数学同步知识梳理+常考题型(人教A版2019选择性必修第二册)
名校
8 . 已知等差数列
满足
,前4项和
.
(1)求
的通项公式;
(2)设等比数列
满足
,
,数列
的通项公式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb334e165679c6cb500c994cffa47147.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c9a3c1ff78e51ebe60503ef6cd01f8a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设等比数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5c340fdadffa2f9120a70430ce477f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbcd03d9ffc473515485c1e6ff0e3840.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
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2022-07-08更新
|
5364次组卷
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19卷引用:重庆市长寿区2021-2022学年高二下学期期末数学(B)试题
重庆市长寿区2021-2022学年高二下学期期末数学(B)试题广东省深圳市高级中学2023届高三上学期第一次调研数学试题北京交通大学附属中学2023届高三上学期10月诊断数学试题四川省遂宁中学校2022-2023学年高三上学期10月月考数学(文)试题四川省遂宁中学校2022-2023学年高三上学期10月月考数学(理)试题甘肃省张掖市某重点校2022-2023学年高二上学期期中考试数学试题江苏省淮安市马坝高级中学2022-2023学年高二上学期期中数学试题辽宁省辽西联合校2022-2023学年高三上学期期中考试数学试题西藏林芝市第二高级中学2022-2023学年高二上学期第一学段考试(期中)数学试题甘肃省白银市第十中学2022-2023学年高二上学期期中考试数学试题重庆市三峡名校联盟2022-2023学年高二上学期12月联考数学试题重庆市为明学校2022-2023学年高二上学期期末数学试题广东省人大附中深圳学校2022-2023学年高二上学期期末数学试题陕西省渭南市大荔县2022-2023学年高二上学期期末文科数学试题陕西省渭南市大荔县2022-2023学年高二上学期期末理科数学试题(已下线)模块三 专题7 数列--基础夯实练(北师大2019版 高二)(已下线)模块三 专题6 数列--基础夯实练(人教B版高二)(已下线)高二上学期期末【夯实基础70题考点专练】(选修一+选修二)-2022-2023学年高二数学考试满分全攻略(人教A版2019选修第一册)西藏林芝市第二高级中学2024届高三上学期第一次月考数学(理)试题
名校
解题方法
9 . 如图,已知抛物线
的焦点为
,点
是
轴上一定点,过
的直线交
与
两点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/2/cd69fb7a-d536-47e7-8328-6828da4292db.png?resizew=126)
(1)若过
的直线交抛物线于
,证明
纵坐标之积为定值;
(2)若直线
分别交抛物线
于另一点
,连接
交
轴于点
.证明:
成等比数列.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e6c830bfa9a1b979a1a9665166424bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a33a862879af06d123c7d73dd2d796.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/2/cd69fb7a-d536-47e7-8328-6828da4292db.png?resizew=126)
(1)若过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e1e4115d78e625e9e0f47cdade3286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e1e4115d78e625e9e0f47cdade3286.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f726eafc3e7ce9970115202f5122b964.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13730ae9ebfa7b219d857e297fb617df.png)
您最近一年使用:0次
2022-01-25更新
|
312次组卷
|
2卷引用:重庆市长寿区八校联考2023-2024学年高二上学期期末检测数学试题(B卷)
名校
10 . 已知等比数列
的前
项和为
,若
,
,则
的值为( )
![](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/ef7146e23c331b74ed9c9bb76b2e9364.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/097899de76881cab57ae4f6409662061.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a48e81b54f78b96294295542b010dfb.png)
A.31 | B.32 | C.63 | D.64 |
您最近一年使用:0次
2022-01-22更新
|
449次组卷
|
3卷引用:重庆市长寿区2021-2022学年高二下学期期末数学(B)试题