1 . 已知函数
.
(1)求证
为定值;
(2)若数列
的通项公式为
(
为正整数,
,
,
,
),求数列
的前
项和
;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a295c9e7c191502399bb60db40f91833.png)
(1)求证
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3caaf39cc15fc52ecae71ac5bc0e1c5.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ea3e5a058882fef293a922ae806296.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c87b351f16728b0023fd63678f8103c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1752474698cd5466dd180df0a00ba9c.png)
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2 . (1)计算
;
(2)已知
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f69f79b6ccde29891c99f1b22832273.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/591227ef86c86c545d8298f38288dae9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0666cbe081eb4ae1c2e4fd96b1cdc37.png)
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名校
解题方法
3 . 已知函数
(
,且
)在
上的最大值与最小值之和为20,记
.
(1)求
的值;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da53929a8f67b9aa3827fdbd73ebd265.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7242b2ab643f9470da77e29d043b893.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba5e4d2f268d3e873acaeacb1f47ea54.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3caaf39cc15fc52ecae71ac5bc0e1c5.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/200f1b8b5b13a3422465c842d6505ce7.png)
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名校
4 . 计算下列各式的值:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9009ad0cb4d775496fb5337015738005.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f417da2e6a8adee0017d0c649227763.png)
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2023-12-28更新
|
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2卷引用:广西三新学术联盟2023-2024学年高一上学期12月联考数学试题
名校
解题方法
5 . 计算:
(1)
;
(2)求不等式
的解集.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9e8a182716dd9baa7a40173d06024c5.png)
(2)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7bf8efa4ef682821f18291d2f0cdd12.png)
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2023-11-23更新
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2卷引用:江苏省镇江市扬中市第二高级中学2023-2024学年高一上学期期中考试数学试卷
6 . 计算:
(1)
;
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddbd1825d29c0b8d7e650c9ea0e5db34.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ecdbc2ca4c8b854e80507c33dd3e272.png)
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2023-10-09更新
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5卷引用:山东省潍坊市国开中学、日照市莒县某高中校级联考2023-2024学年高三上学期春季高考阶段性检测数学试题
山东省潍坊市国开中学、日照市莒县某高中校级联考2023-2024学年高三上学期春季高考阶段性检测数学试题(已下线)4.1 指数(6大题型)-【题型分类归纳】(苏教版2019必修第一册)(已下线)模块二 专题2 函数 单元检测篇 A基础卷河南省周口市鹿邑县第二高级中学校2023-2024学年高一上学期期中数学试题(已下线)第4章 指数函数、对数函数与幂函数-【优化数学】单元测试能力卷(人教B版2019)
7 . 判断下列结论是否正确:
(1)若
,则
;
(2)若
,则
;
(3)
;
(4)
;
(5)
.
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/263ea8601828cb0fa20e0e2ce32ce65f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39cc033406da2cdd342308972c6701f1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e3cc614daa9bfdc18893a84c637cb82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a945357aa4d7cb2bd48c28af862a3078.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d53f44d3cb5e9c3353121cc0394c3a0a.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e580ee5e5d0931f6aa849741d96d8c41.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ab81a86cf0b464e000d084498a5c473.png)
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2023-10-09更新
|
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3卷引用:北师大版(2019)必修第一册课本习题 习题4-2
8 . 计算:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/347a96cefede75c6040cd54afa6ff31c.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5842211fa468f27a40e971a75bcfe619.png)
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3卷引用:北师大版(2019)必修第一册课本习题第三章复习题
9 . 已知
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d9caff846b9d2d4ea37b7df76719c68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/872be4645b9ccafc2744f8c822d17005.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/577ed0748e1a07bb8a10532f4a9e4fb5.png)
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10 . 已知
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50e7d77cef092f1ed844608e2f6c61e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0d07d630f78c8e43f1d1b7ce2b87c23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01b3942d87c5d163ce9d3620b2e0853b.png)
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2023-10-08更新
|
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3卷引用:北师大版(2019)必修第一册课本习题第三章复习题