2023·上海浦东新·三模
名校
解题方法
1 . 设等比数列
的前
项和为
,则使
成立的
的最小值为__________ .
![](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/cd84baa1bd3ed998569305a1c6edb67d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/334c7e7d0a65c4ab96622a06e0a8f6e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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2023·上海浦东新·模拟预测
2 . 已知数列
的前
项和为
,且满足
对一切正整数
成立.则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05cc27f9afd7e68f0e37bf8ac9f4d017.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d47c7e11d66c03afa6f6af0e2add53e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05cc27f9afd7e68f0e37bf8ac9f4d017.png)
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2023·上海浦东新·模拟预测
名校
解题方法
3 . 已知无穷等比数列
中,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05cc27f9afd7e68f0e37bf8ac9f4d017.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14835bf3f00139ccec0694d0924db795.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86f2db1de4255e55999c3c9243eaa196.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05cc27f9afd7e68f0e37bf8ac9f4d017.png)
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名校
4 . 设集合
,选择
的两个非空子集
和
,要使
中最小的数大于
中最大的数,则不同的
和
共有__________ 个组合.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/189901f8fd467eba9a1148efa1857fa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
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5 . 在平面直角坐标系中,对于任意
,点
与点
的坐标满足
,若
,且使得不等式
成立的
的最小值为11,则
的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb9979465ce76b8582067703b39a0bc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75a73f95353bb2782779c976a6b82737.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00d5a03c69b806544eca1ee2e2e1717a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81efb116510b5225666ad44d185c527b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a22dbadff8e4c623b1adbfef7a9fca2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
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名校
6 . 在无穷等比数列
中,
,
,则
的各项和![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
____________ .
![](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/d4a1d3f433b2047252dca9e94c34af0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
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2023-02-17更新
|
356次组卷
|
2卷引用:上海市实验学校2023届高三下学期开学考试数学试题
7 . 无穷等比数列
的通项公式
,前
项的和为
,若
,则满足条件的
的取值集合为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/894aaec56149f880c7cf2bbc0f358d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e525ab99498c26f11d8225b950c5b4f1.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/808c7ac7a05b4002cd9930e0f772f6de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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2023-01-09更新
|
161次组卷
|
3卷引用:上海市浦东复旦附中分校2022届高三上学期10月月考数学试题
名校
8 . 在等比数列
中,
,前
项和为
,若数列
也是等比数列,则
等于_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.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/098d9e65e9676e4386c5d861c8eb03b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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2022-12-28更新
|
486次组卷
|
13卷引用:上海市川沙中学2021-2022学年高一下学期5月月考数学试题
上海市川沙中学2021-2022学年高一下学期5月月考数学试题2015届上海市崇明县高三第二次高考模拟考试理科数学试卷2015届上海市崇明县高三第二次高考模拟考试文科数学试卷江苏省泰州市泰兴市黄桥中学2019-2020学年高二上学期11月月考数学试题(已下线)步步高高二数学寒假作业:作业5等比数列河南省鹤壁市高级中学2019-2020学年高二3月线上考试数学(文)试题(已下线)专题31数列求和-2022年(新高考)数学高频考点+重点题型(已下线)考点43 数列的求和-备战2022年高考数学一轮复习考点帮(新高考地区专用)【学科网名师堂】上海市复兴高级中学2021-2022学年高二上学期10月质量检测数学试题沪教版(2020) 选修第一册 同步跟踪练习 第4章 4.2(2)第2课时 等比数列前n项和的应用(已下线)第43讲 数列的求和(已下线)第4章 数列(基础、典型、易错、压轴)-【满分全攻略】2022-2023学年高二数学下学期核心考点+重难点讲练与测试(沪教版2020选修一+选修二)浙江省湖州市湖州中学2024届高三上学期第一次质量检测数学试题
9 . 已知首项为2的等比数列
的公比为
,则这个数列所有项的和为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
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2022-12-15更新
|
647次组卷
|
4卷引用:上海市高桥中学2022-2023学年高二上学期期末数学试题
10 . 已知数列
的通项公式为
,数列
的通项公式为
为正整数,若数列
中去掉
的项后,余下的项组成数列
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8be9f2df957f0ec0eb6fb5d9c1ab7e1.png)
_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e21a2abecb477ad5ff15db0f3d7817f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e0eef10babd8fbc1829f2777834887a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8be9f2df957f0ec0eb6fb5d9c1ab7e1.png)
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