1 . 设公差不为
的等差数列
的首项为
,且
成等比数列.
(1)求数列
的通项公式;
(2)已知数列
为正项数列,且
,设数列
的前
项和为
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dc54335d4de8adc7c8d5425ba9ee67f.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)已知数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d0e24230de5f84e8937dfbd4fb61450.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec7c561d49be978dafe36601ba26f536.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/8a790ada33239d9fb562525f819a817d.png)
您最近一年使用:0次
2024-06-13更新
|
1418次组卷
|
2卷引用:辽宁省沈阳市2024届高三教学质量监测(三)数学试题
2 . 已知等比数列
的各项均为负数,记其前
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/dae8ee81591ef51f4be12f6871804edc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9bbe98100c8067ff36ac536d043a85.png)
A.-8 | B.-16 | C.-32 | D.-48 |
您最近一年使用:0次
3 . 在正项等比数列
中,
为其前n项和,若
,
,则
的值为( )
![](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/346fcaef5869302b49901aae54406d66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07035ee4bc362664789f039cf41c156a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a27c112387e56c976489fa484c0d48f.png)
A.10 | B.20 | C.30 | D.40 |
您最近一年使用:0次
4 . 定义
,已知数列
为等比数列,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0c8894e0b37af5da23a1c1bffb32017.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0d330db02c33b7519ca32394696a888.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bb7147e313f9d9f67d19ecb5f499c05.png)
A.![]() | B.2 | C.![]() | D.4 |
您最近一年使用:0次
5 . 已知等差数列
的前
项和为
,若
成等差数列,
成等比数列,
( )
![](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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/425e92fef7be5554eaaa1eb90444d690.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd0d819037777b6bd75f51d599bea541.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7999465d0e871febde66296a0cbf058c.png)
A.4 | B.3 | C.2 | D.1 |
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解题方法
6 . 若互不相等的正数
满足
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60f318dae61e291e3c28eff545f44787.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
7 . 已知等比数列
中,
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fa69dde104dcf963e67647e801e0149.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/674b8ec980dee2fcc9f6d2682cb8e358.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dbd9ff686703cad03aa383e5fec21.png)
A.2 | B.﹣2 | C.![]() | D.4 |
您最近一年使用:0次
解题方法
8 . 两数1,9的等差中项是
,等比中项是
,则曲线
的离心率可能是 ( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/351d429d1e666f9bf4b1e4b653b3ef4f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
9 . 在
中,内角
所对的边分别为
,若
成等比数列,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f1e5d29de6e4d72bfed62d9c14dde5.png)
_______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df23cc36e6d0a1f5bfc6b7a1cde0d4b5.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cb926a5338553390e23eab672d8e554.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f1e5d29de6e4d72bfed62d9c14dde5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df23cc36e6d0a1f5bfc6b7a1cde0d4b5.png)
您最近一年使用:0次
2024-04-07更新
|
1179次组卷
|
4卷引用:河南省部分省示范高中2024届高三下学期3月联考数学试卷
名校
10 . 已知数列
是单调递增的等比数列,且
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fa3a7ce62e7bf557d9e1bf77c8dac0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40317a8a0ec71d5ce1677f0addc5d45.png)
A.![]() | B.![]() |
C.![]() ![]() | D.数列![]() ![]() |
您最近一年使用:0次
2024-04-03更新
|
371次组卷
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3卷引用:河南省创新发展联盟2023-2024学年高二下学期第一次月考数学试题