1 . 下列数列中等差数列的是( )
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-04-05更新
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5卷引用:4.2.1 等差数列的概念(8大题型)精练-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)
(已下线)4.2.1 等差数列的概念(8大题型)精练-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)2023年重庆市普通高中学业水平合格性考试模拟(一)数学试题(已下线)第4.2.1讲 等差数列的概念与通项公式(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)4.2.1等差数列的概念(1)江西省上饶市蓝天教育集团2023-2024学年高二下学期期中考试数学试题
2 . 求值:
(1)
;
(2)
;
(3)
;
(4)
;
(5)
;
(6)
;
(7)
;
(8)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c806fb25495ec94cd303871cec4c36d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5559ddc6591d0673419a6876e75b476.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a7a8ca9cb5ac9915fffdcd12924c581.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76220bb578e871c7dba4f8b853f73764.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/004059979afc03b36b9392d037e8a667.png)
(6)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/875a17caae550b5631ece3345a0c25a4.png)
(7)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be6de2c4e7230d99faf49c68ab9bbb8.png)
(8)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c2ee362f4eff093869661fd6313f143.png)
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3 . 当
,且
时,常用对数
和自然对数
可以互相转换,即存在实数A,使得
.你能推导出A的值吗?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2a891d21bb2c7a11304beaab5054074.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d582a8ea1d1846b22372ea56f6e44783.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8ccb245042079bba161c53d431a9160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99f75a1642a5a899bf4a2c7e13a91273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b57f9b2e089c13cfe604500815634606.png)
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4 . 将下列对数式改写为指数式:
(1)
;
(2)
;
(3)
;
(4)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/236b49be967607ef6a4d9954c9268608.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c051da38cb91e75529d5efe5d803fdb8.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd721686c8ee7cbcbabac4c5ef2c2e84.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7bebdb7c4e206c6525a9bf31da823de.png)
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解题方法
5 . 比较下列各题中两个数的大小:
(1)
,
;
(2)
,
;
(3)
,
;
(4)
,
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a6a917c68cf11ed28247b73c18386cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/450f21fdaee3b04dfceb490e0eb49802.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10ee06dc94225fb7acc219eee308a1f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bc9cd7d1888609d26d1f98d2f98456b.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ffe3c10b3dffee72996dc81f44d71bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6266400e2f67ea46c0999179febd1ddb.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c29c210721c6ffd2cb34c5c843a5224.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba46dfa80bb296836da905cffce8f050.png)
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2023-10-08更新
|
95次组卷
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3卷引用:3.2 对数函数的图象和性质
6 . 将下列对数式改写为指数式:
(1)
;
(2)
;
(3)
;
(4)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d231817e10ead78d18a88dec02fa64f4.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63eef60ec42026e92fcdc5ccf7d5c816.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/705549603ef61a0a7faeaeab9348e7fa.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50bf1b6d58e4933aea25e67085d21a0.png)
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2023-10-08更新
|
311次组卷
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3卷引用:§1对数的概念
7 . 仿照“用计算器求
的值”的方法,证明对数的换底公式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed5faff5d08e2976e15f0cec988ced37.png)
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2023-10-08更新
|
37次组卷
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3卷引用:2.2 换底公式
8 . 比较下列各题中两个数的大小:
(1)
,
;
(2)
,
;
(3)
,
(
,且
).
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/930f7706c8f0a021d2e81f1cba24cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1729e8a91524e26d22c6427cbe16a15.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d775e7b8db68662937e88754421bbf8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caba02e1b957f375a1b31ed22d9f4e65.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b52521aa79858ebf9ddcf7edcddd1ffc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35c5124ad9fc9b21eb43d0ba1f2731db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
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2023-10-08更新
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420次组卷
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4卷引用:3.3 对数函数的图象和性质
9 . 将下列指数式改写为对数式(
,且
):
(1)
;
(2)
;
(3)
;
(4)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba2389b3290ec1c34df67fc52a24db5a.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84f6eebfc5818b66782b19677476ce10.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1746571aafbeb724193b69e47d44947.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/009ce619ce7352f937c4c2aa6f3e0c43.png)
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解题方法
10 . 已知
,
,
.
(1)比较x,y的大小;
(2)比较y,z的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81ec9756656faf0382237879039a9041.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd8585674d840bb769dd27b4ce00c416.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11c418b3d2bcaf3922f4151f250d9dc1.png)
(1)比较x,y的大小;
(2)比较y,z的大小.
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