名校
1 . 在等比数列
中,
,函数
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aedd5813fb10d4432cc9f4599a81c8c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf35c789d3da6fc8fa6abdb604ec23f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd81c758860fbebd22ff65b90f0980fe.png)
A.0 | B.1 | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
2 . 已知首项为1的数列
满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9117c1d7c495504f57432676d67c8fbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
您最近一年使用:0次
2023-05-02更新
|
311次组卷
|
3卷引用:江西省智慧上进联盟2022-2023学年高二下学期期中调测试数学试题
解题方法
3 . 已知数列
的前n项和为
,且
,
,
,则下列说法正确的是( )
![](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/fb65c678b037e26b8fedae5691e02a62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cf84642ee3caa20ed102e0d78fea54c.png)
A.![]() | B.数列![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2023-05-02更新
|
290次组卷
|
3卷引用:江西省智慧上进联盟2022-2023学年高二下学期期中调测试数学试题
4 . 已知等比数列
的前n项和为
,公比为
,若
,
,则下列说法正确的是( )
![](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/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4597e8c549b5970d71c3429b77868d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f5a422c0e2833983163403ab3ee381.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-05-02更新
|
407次组卷
|
5卷引用:江西省智慧上进联盟2022-2023学年高二下学期期中调测试数学试题
江西省智慧上进联盟2022-2023学年高二下学期期中调测试数学试题江西省九江市十校2022-2023学年高二下学期期中联考数学试题江西省南昌市等5地2022-2023学年高二下学期期中数学试题新疆石河子第一中学2022-2023学年高二下学期5月月考数学试题(已下线)期末押题预测卷02(范围:高考全部内容)-【单元测试】2022-2023学年高二数学分层训练AB卷(人教A版2019)
解题方法
5 . 如图,已知正方形上连接着等腰直角三角形,等腰直角三角形腰上再连接正方形……如此继续下去得到一个树状图形,称为“勾股树”.记某勾股树中最大正方形的边长为
,第二大的正方形的边长为
……以此类推,构成数列
,且
,若数列
满足
,则使得
成立的
的值有( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/5/1d534424-2e17-455e-a1b8-8560101aeb3a.png?resizew=132)
![](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/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/184d944df8beb794dc68b45a3b6f750c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ecb65e89bd94923feca2fc9b7203ceb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce730267da969c160209ee4035252f8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/5/1d534424-2e17-455e-a1b8-8560101aeb3a.png?resizew=132)
A.1个 | B.2个 | C.3个 | D.4个 |
您最近一年使用:0次
2023-05-02更新
|
193次组卷
|
3卷引用:江西省智慧上进联盟2022-2023学年高二下学期期中调测试数学试题
6 . 已知等比数列
的前
项和为
,若
,
,则
( )
![](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/e4e58b19664f5dd86ed42cee33a25edd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8839f390c8e7e2a8ce7e94c0f3970ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/135f5594b883c7f48b7b4287f43f2f53.png)
A.2 | B.3 | C.4 | D.6 |
您最近一年使用:0次
2023-05-02更新
|
633次组卷
|
5卷引用:江西省智慧上进联盟2022-2023学年高二下学期期中调测试数学试题
江西省智慧上进联盟2022-2023学年高二下学期期中调测试数学试题江西省九江市十校2022-2023学年高二下学期期中联考数学试题江西省南昌市等5地2022-2023学年高二下学期期中数学试题(已下线)专题7 等比数列的性质 微点3 等比数列的性质综合训练(已下线)广东省广州市中山大学附属中学2024届高三上学期期中数学试题变式题1-5
解题方法
7 . 已知等比数列
的前
项和为
,公比
,
.
(1)求
的通项公式;
(2)设
,记
的前
项和为
,若
对于任意
恒成立,求
的取值范围.
![](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/3154e42ce5bee86af29648da9a8e02a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cf971b74688451ca92671986eee602a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52cd3e7b402c1114fc76f01814a9d419.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/507eda715ead932be5b7be721e68ca95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e97769855336d73371930df1f187875e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
8 . 在等比数列
中,若
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced4e381e8c3336848b8c436dbc584f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36ba808c24aeae6a2f34b98ae5ec04ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bb7147e313f9d9f67d19ecb5f499c05.png)
A.![]() | B.9 | C.15 | D.7 |
您最近一年使用:0次
名校
解题方法
9 . 已知等比数列
的各项均为正数,且
,
.
(1)求
的通项公式;
(2)数列
满足
,求
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b0a7119b83fe8f9d19944fc481b562c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92735eada21051c6e54ca5a36841e2bb.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6167e15ff5c344afdbebeb6fadb5830c.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)
您最近一年使用:0次
名校
10 . 在正项等比数列
中,
,则
的公比等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc2fb19ec1db4788e13d8d3756d284e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
A.![]() | B.2 | C.4 | D.![]() |
您最近一年使用:0次