1 . 公比为2的等比数列
的各项都是正数,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/831679695b80a43eb0b19712f73bfd6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dbd9ff686703cad03aa383e5fec21.png)
A.32 | B.16 | C.4 | D.2 |
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解题方法
2 . 已知正项等差数列
的前
项和为
,若
成等比数列,则
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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09bca6aacb4723b3ac3cb0a2e3a3cc40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a99d3b53f06b1a03bec84bcb4af9d5e4.png)
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2023-11-15更新
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4卷引用:四川省攀枝花市2024届高三第一次统一考试文科数学试题
四川省攀枝花市2024届高三第一次统一考试文科数学试题四川省攀枝花市2024届高三上学期第一次统一考试理科数学试题(已下线)专题04 数列及求和(分层练)(四大题型+14道精选真题)(已下线)专题09 数列的通项公式、数列求和及综合应用(9大核心考点)(讲义)
3 . 已知等差数列
的公差为
,前n项和为
,现给出下列三个条件:①
成等比数列;②
;③
.请你从这三个条件中任选两个解答下列问题.
(1)求数列
的通项公式;
(2)若
,且
,设数列
的前n项和为
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90bfe21c96489cb30c544d49ddb4c1c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f8aa010f7105f3ca426c8a34880abd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19181548bcfbfe7a38a2c84096199563.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c382dc28bc48eb5a245b1e946489e3a.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/176b6b574ad2c11248c2d39d4deaf04d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4995fa0403e013d888c0935ebfe15024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e30136113176ba7fe660e998d0873157.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1cb91e89800a81f4d62ed75c3ace24a.png)
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2023-04-30更新
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2卷引用:四川省攀枝花市2023届高三第三次统一考试文科数学试题
名校
解题方法
4 . 等差数列
的前n项和为
,若公差
,
,
为
与
的等比中项,则:
( )
![](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/812be9806122241c476ba1db516c4823.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36183db0759eec0e108274d229fcd00b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc858b7a95c5006a44067022da09f667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/614306cc3f34bdee4d5d885b79667645.png)
A.15 | B.21 | C.30 | D.42 |
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2023-02-06更新
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3卷引用:四川省攀枝花市2023届高三上学期第一次统一考试数学(理)试题
5 . 在公差不为零的等差数列
中,
,且
成等比数列.
(1)求
的通项公式;
(2)设
,求数列
的前n项和
.
![](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/2a18556fda4a825861f1170cdeb059ff.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6574b44a3f8e46d987efd602f98ada93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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2021-05-12更新
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4卷引用:四川省攀枝花市2021届高三一模考试数学(文)试题
四川省攀枝花市2021届高三一模考试数学(文)试题四川省攀枝花市2021届高三一模考试数学(理)试题(已下线)6.4 求和方法(精练)-【一隅三反】2022年高考数学一轮复习(新高考地区专用)(已下线)6.4 求和方法(精练)
6 . 设x,y,z是实数3x,4y,5z成等比数列,且
,
,
成等差数列,则
的值是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf35027e76f8ea593f82023973d4aba3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/addb5619e7d6c00ba2bd2e706dd827e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1245ed74a632317d3a0a106aa9d02eaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bff94bdbe580ecd6cdc2ccc453370202.png)
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2020-04-23更新
|
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3卷引用:四川省攀枝花市第十五中学2019-2020学年高一下学期期中考试数学(理科)试题