1 . 已知数列
满足
,
(
).记![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1caaa58f90a778e24b1d335af3467f21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
(1)求证:
是等比数列;
(2)设
,求数列
的前
项和.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6065aaa8f3f103d1bc960da8318ce35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88c5892f7fb15102e3c15c8b9ce7e20d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1caaa58f90a778e24b1d335af3467f21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2812d9e1f00c614eddafb51d349ffd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38ef4c4439b36c2847b0056a116d56d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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2023-05-11更新
|
1614次组卷
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6卷引用:四川省乐山市金口河区延风中学2024年高三上学期9月月考数学(理科)试题
名校
解题方法
2 . 已知函数
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/10/b62d7750-5bd3-428d-8f8f-2be12c0a7c09.png?resizew=243)
(1)画出f(x)的图象,并写出
的解集;
(2)令f(x)的最小值为T,正数a,b满足
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91fae2a874cbb5f6bb6d45f2e08a592c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/10/b62d7750-5bd3-428d-8f8f-2be12c0a7c09.png?resizew=243)
(1)画出f(x)的图象,并写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2b45f8224a638bb503ccb01749cfeb1.png)
(2)令f(x)的最小值为T,正数a,b满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d069a600152af92a7fada66aa91138a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/134c1c7e7fd9c7700ee49b0cd788227a.png)
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2023-05-08更新
|
403次组卷
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5卷引用:四川省乐山市2023届高三三模理科数学试题
3 . (1)已知
,
,
均为正实数,求证:
.
(2)已知
,
,
是互不相等的正数,且
,求证:
.
![](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/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48e1e611ae3e3594be8de33f953dc19c.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd24c686fbaaa68705d654b880481ffe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21f8f4d3c03ce40729b1cfc52da58bdb.png)
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2022-08-15更新
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3卷引用:四川省乐山市井研县井研中学2023-2024学年高一上学期10月月考数学试题
四川省乐山市井研县井研中学2023-2024学年高一上学期10月月考数学试题2023版 湘教版(2019) 必修第一册 突围者 第2章 第一节 课时2 基本不等式(已下线)2.2 基本不等式(第2课时)(分层作业)-【上好课】
名校
解题方法
4 . 已知数列
的首项
,且
.
(1)证明:数列
为等差数列;
(2)已知
,数列
的前
项和为
,若
,求正整数
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d11efb0e1d2f82c982352dbbc2709745.png)
(1)证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/099a64d86bd0b4602578d910322adc1b.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f4a57cc10613c6b261ac3a8649cbdaf.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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/612df02d43f03eb00f3ed84b3b2fcb98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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6卷引用:四川省乐山第一中学校2021-2022学年高三上学期10月月考理科数学试题
解题方法
5 . 已知数列
满足
,
.
(
)证明:
为等差数列.
(
)记数列
的前
项和为
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92f730cb250154602c124a8a641f1f16.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/099a64d86bd0b4602578d910322adc1b.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dc71a2fd8c6b263feea5ff5d6a36121.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/72db2104da094fc784dc30da3944772e.png)
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2021-06-22更新
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1118次组卷
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2卷引用:四川省乐山市十校2020-2021学年高一下学期期中数学试题
名校
6 . 设正项数列
的前n项和为
,已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a0e3d8bc57aa79882ca671acf56e41b.png)
(1)求证:数列
是等差数列,并求其通项公式
(2)设数列
的前n项和为
,且
,若
对任意
都成立,求实数
的取值范围.
![](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/8a0e3d8bc57aa79882ca671acf56e41b.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03f9740fdb53458519740d698294fa2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30ee490f0c45923503f996c5d2037c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b98ef143f8159f3a7dafa1fd2f2370.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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2019-05-23更新
|
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6卷引用:【校级联考】四川省乐山十校2018-2019学年高一下学期半期联考数学试题
【校级联考】四川省乐山十校2018-2019学年高一下学期半期联考数学试题2020届山东实验中学高三第二次诊断性考试数学试题(已下线)考点20 数列的综合运用-2021年高考数学三年真题与两年模拟考点分类解读(新高考地区专用)(已下线)专题20 数列综合问题的探究-2021年高考数学二轮优化提升专题训练(新高考地区专用)【学科网名师堂】(已下线)专题4.1 等差数列与等比数列-备战2021年高考数学精选考点专项突破题集(新高考地区)江苏省吴县中学2020-2021学年高二上学期10月阶段性测试数学试题