名校
1 . 若实数
成等差数列,
成等比数列,则
=_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5401006f44722db7c27ce5aadca35a37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/691f6a0c5eb8d830a6597a951f27d5d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59e2a3eca07774456925b4480cc57257.png)
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解题方法
2 . 方程
有三个互不相等的实根,这三个实根适当排列后可构成一个等比数列,也可构成一个等差数列,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
______ ,该方程的解集为______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9c8f4e44e0f69911361b52d467849a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
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3 . 已知等比数列
的前
项和
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.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/f44608f10163f86fb114156a02be53fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
您最近一年使用:0次
4 . 已知各项都为正数的等比数列
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d51d2640b50ca1577af601e035b38944.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e3e98988f856b130cadb096b55950d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d51d2640b50ca1577af601e035b38944.png)
您最近一年使用:0次
2024-03-27更新
|
709次组卷
|
4卷引用:湖北省武汉市问津教育联合体2023-2024学年高二下学期3月联考数学试卷
名校
5 . 在等比数列
中,
,
是方程
的两根,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5bbae9353140c2235610852d04a9a3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b548c76689cfaf674ab1f53c1fed421f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2815e63d889dbcc2d7ea2ab5c881acaa.png)
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2023-12-26更新
|
759次组卷
|
7卷引用:湖北省武汉市第六中学2023-2024学年高二上学期第4次月考暨期末联考模拟数学试题
湖北省武汉市第六中学2023-2024学年高二上学期第4次月考暨期末联考模拟数学试题河北省保定市第一中学2023一2024学年高二上学期第四次阶段考试数学试题(已下线)第4.3.1讲 等比数列的概念(第1课时)-2023-2024学年新高二数学同步精讲精练宝典(人教A版2019选修第二、三册)(已下线)专题34 等比数列及其前n项和6种常见考法归类- 【考点通关】2023-2024学年高二数学高频考点与解题策略(人教A版2019选择性必修第二册)(已下线)1.3.1 等比数列7种常见考法归类(2)(已下线)1.3.1 等比数列7种常见考法归类(2)(已下线)5.3.1 等比数列(5知识点+6题型+强化训练)-【帮课堂】2023-2024学年高二数学同步学与练(人教B版2019选择性必修第三册)
名校
解题方法
6 . 已知等差数列
,
为其前n项和,若
,
,
成等比数列,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bad9eaa663c15b6415388362a1b7494.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76923902ec0bf68d6295ad84cc763967.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05201ef79a5d5904f492845396fb5470.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e04654961eb5260d7edb3022ad093c3.png)
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2023-08-19更新
|
874次组卷
|
6卷引用:湖北省黄冈市浠水县第一中学2024届高三上学期8月质量检测数学试题
7 . 已知数列
为正项等比数列,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d6b4d09e727bb4c2a28da5eed415047.png)
____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27361bb72af89caaf97e8a02df4952a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d6b4d09e727bb4c2a28da5eed415047.png)
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2023-02-14更新
|
612次组卷
|
3卷引用:湖北省咸宁市2022-2023学年高二上学期期末数学试题
名校
解题方法
8 . 在等比数列
中,若
,
,则
的值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fd33b6c5a8037b0e80ac8fb6fad412d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b85a4098de9e43e97a401a4eab0a1fcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05a03220c2ac25c0ae162755a7ead164.png)
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2022-12-26更新
|
484次组卷
|
2卷引用:湖北省襄阳市老河口市第一中学2022-2023学年高二上学期元月月考数学试题
名校
解题方法
9 . 在数列
中.
,
是其前n项和,当
时,恒有
、
、
成等比数列,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
___________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abde9618774c7e9ba7cacb092cbb5b33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91621eda36b6084ff545cc844f65c352.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
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2022-11-23更新
|
1002次组卷
|
5卷引用:湖北省黄冈市浠水县第一中学2022-2023学年高二下学期3月质量检测数学试题
10 . 已知数列
满足
,
,
且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0acca5aa6b2285d897a65c289c1b54ba.png)
______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9b6e51986fe5d7a7265e0e93adcb4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/190598fa1455d5ba58ce7f85802873b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aee2c11d696a76dbf17503a6ad960a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0acca5aa6b2285d897a65c289c1b54ba.png)
您最近一年使用:0次