名校
解题方法
1 . 已知数列
是公比不相等的两个等比数列,令
.
(1)证明:数列
不是等比数列;
(2)若
,是否存在常数
,使得数列
为等比数列?若存在,求出
的值;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62e567d7e9761951a266953c8d5042ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d44ddab6e0c60119be69985ae7fa65b.png)
(1)证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0141988a5f2a050086b711669b704a73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/941ff47ccce8e547c5bfad054a85cd5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2023-12-28更新
|
788次组卷
|
2卷引用:山东省高中名校2024届高三上学期统一调研考试数学试题
名校
解题方法
2 . 已知正项数列
满足
,则数列
的前
项和为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28576e97b679dd69399eb2d2f18a258b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ebd611b6d967506edfd0e3cc861edc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
名校
解题方法
3 . 在
中,内角
的对边分别为
,已知
是
和
的等比中项.则
的取值范围为_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.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/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/980ab4deb9e7f2bc9288787f5243a4d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55ad55f7f3af6a39ff22b8e5f0ee5291.png)
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4 . 已知等差数列
的前n项和为
,
.
(1)求
及
;
(2)判断是否存在正整m、k使得
成等比数列若存在,求出所有m、k的值;若不存在,请说明理由.
![](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/ccb7da0f8ef76c70d6ec832307692da4.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(2)判断是否存在正整m、k使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94355233a1e27328674669ba15298ba.png)
您最近一年使用:0次
名校
解题方法
5 . 已知数列
的通项公式为
,在公差为整数的等差数列
中,
,且
成等比数列.
(1)求数列
的通项公式;
(2)求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e4b5779873cb3f4366dbfdb983dec81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ffd0e722785c3074b426d6ef36dc5f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04184f6fdd4084429b640bed3a0fc0b0.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec4bdc2a6d4fc387dc621f0b5a268c5.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec4bdc2a6d4fc387dc621f0b5a268c5.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
2023-12-26更新
|
650次组卷
|
4卷引用:甘肃省白银市靖远县第一中学2023-2024学年高二上学期期末数学模拟卷(一)
甘肃省白银市靖远县第一中学2023-2024学年高二上学期期末数学模拟卷(一)(已下线)模块三 专题7 大题分类练(数列)拔高能力练 期末终极研习室(高二人教A版)河南省南阳市淅川县第一高级中学2023-2024学年高二上学期12月月考数学试题重庆市第一中学校2023-2024学年高二上学期期末模拟数学试题
2023·全国·模拟预测
名校
解题方法
6 . 已知数列
的前
项和
满足
,且数列
中的第2项、第5项、第14项依次组成某等比数列的连续3项(公比不等于1).
(1)求数列
的通项公式;
(2)若
,且数列
的前
项和为
,求
的最大值与最小值.
![](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/f79c25ba71096f3577f428e2641529d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbda882a4eb599e904d2e1414d060fca.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/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
7 . 在等差数列
中,
是
和
的等比中项.
(1)求
的通项公式;
(2)若
,求
的前n项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a624728e2e0eb04e7dd89228b83fb81d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3108a23bde2b1b06f0f07078fdbe97c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7d3d55a85012933f91c5d8d27d8801d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
您最近一年使用:0次
2023-12-25更新
|
241次组卷
|
3卷引用:山西省吕梁市孝义市2023-2024学年高二上学期12月月考数学试题
山西省吕梁市孝义市2023-2024学年高二上学期12月月考数学试题山西省晋中市灵石县第一中学校2023-2024学年高二上学期12月月考数学试题(已下线)专题训练:数列综合应用30题-2023-2024学年高二数学题型分类归纳讲与练(人教A版2019选择性必修第二册)
名校
8 . 设等比数列
的前
项和是
.已知
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d459a1454d2eaf63086f1c5e6450d19.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/0e88f47248cab86cf647b670da921be6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e20d2283075b3405dfff06535726e16e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d459a1454d2eaf63086f1c5e6450d19.png)
您最近一年使用:0次
名校
9 . 已知等差数列
是递增数列且满足
,且
成等比数列.
(1)求
的通项公式;
(2)记
为数列
前
项的乘积,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/557b44c164dd2cefce5cef8ac40c957b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c2bd43cc4343b114769b34abf477081.png)
(1)求
![](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/83cf38189d5cbf627d2b82ac0eb76006.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
10 . 已知
是公差为2的等差数列,且
成等比数列,则
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a18556fda4a825861f1170cdeb059ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/194592cb77de8a597d5d64e1c85c3249.png)
A.49 | B.48 | C.64 | D.108 |
您最近一年使用:0次