名校
解题方法
1 . 如图为襄阳凤雏大桥,连接襄阳襄城、樊城,既缓解交通压力又是汉江上美丽的风景线,她的悬链类似双曲函数的图像.常见的有双曲正弦函数
,双曲余弦函数
.下列结论正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/17/73ffb20d-bc22-49ec-82c9-6891e9a1b56d.png?resizew=200)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0718c04bdf70989bcc90b902671a692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a7c1d3681898e25187a896aeb0c8c0.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/17/73ffb20d-bc22-49ec-82c9-6891e9a1b56d.png?resizew=200)
A.![]() |
B.双曲正弦函数是奇函数,双曲余弦函数是偶函数 |
C.若点P在曲线![]() ![]() ![]() |
D.![]() |
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2 . 求
的值:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa3fa7ad1f8e6941cad2c35dfa6218b.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa3fa7ad1f8e6941cad2c35dfa6218b.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b7cdf22533e88891221496236ea83fb.png)
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解题方法
3 . 设
,求满足
的x值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54ad27760b324ddeeaa5f842784e5f09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1656a75d215f8c6d703e682f02ec46c.png)
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4 . 把下列各式中的
写成负分数指数幂的形式:
(1)
;
(2)
;
(3)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddbbecaad3655f531774cb4911840dc6.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e65aec0f72e2c2675c579945921121.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76e7c6c79e6ff7d33460512cde3e4b07.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6231e99dd7157e3d3b801640c0502174.png)
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2023-10-08更新
|
61次组卷
|
4卷引用:1 指数幂的拓展
5 . 对比以往学习的代数运算,指数运算有哪些特点?
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6 . 已知
,
,把下面的数写成底数是10的幂的形式:(如
)
(1)
;
(2)8;
(3)24;
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5904a4d0f9b6c1b3acb3facbe886d380.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d69ddd3a69063bd5a4fd3d3e50b8faea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/296e8a952e6b80c103613ccf476e9624.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
(2)8;
(3)24;
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
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2023-10-08更新
|
83次组卷
|
4卷引用:2 指数幂的运算性质
名校
7 . 化简(式中的字母均为正实数):
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/191e561aa1725486c0cd1de4f518870c.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d4e7dccc0b4edde6c07563d534a115b.png)
您最近一年使用:0次
2023-10-08更新
|
496次组卷
|
5卷引用:2 指数幂的运算性质
(已下线)2 指数幂的运算性质北师大版(2019)必修第一册课本例题2 指数幂的运算性质北师大版(2019)必修第一册课本习题第三章2.指数幂的运算性质(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)宁夏回族自治区银川市兴庆区唐徕中学2023-2024学年高一上学期期中数学试题
8 . 用分数指数幂表示下列各式(式中的字母均为正实数):
(1)
;
(2)
;
(3)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e31829147ce97b8966fc537390f9a2ac.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b6a0129451e9e811d0434404127eb72.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7636638aacabe85b3dde6655bf827.png)
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9 . 计算:
(1)
;
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e272902d4c2cfb5417e509c9b8b6c240.png)
(3)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8583ce895656a83735fbddf8aa210c7.png)
(4)
;
(5)
;
(6)
;
(7)
;
(8)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85b4299339d0bbae028ed4af98344936.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e272902d4c2cfb5417e509c9b8b6c240.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8583ce895656a83735fbddf8aa210c7.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34a20b677c0fb28f4a669e5049584239.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24abca0212fd1ca55ce24c4b48e46bf.png)
(6)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da1042ec694eff456006efdcb7e23b45.png)
(7)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/038f9a82cd61ecd50e7c3da9ce7bb29d.png)
(8)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6346e9cf17cd140b63c5daf630269af5.png)
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10 . 化简(式中的字母均为正实数):
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b722c00135498bf4181d670bac8399b.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03eb439922ebde61a2b31800a3573881.png)
您最近一年使用:0次