解题方法
1 . 求下列函数的定义域:
(1)
;
(2)
;
(3)
;
(4)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f55cd0760e223edc4bdd525b68b6858d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b626c7ef071cbeab563ffb09e32c89c.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa29521fad049f4307d9f82f56d8849c.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21ddef57081f055f399330f08f55d78d.png)
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450次组卷
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4卷引用:习题3-3
(已下线)习题3-3北师大版(2019)必修第一册课本习题 习题3-3(已下线)第4章 幂函数、指数函数与对数函数单元复习+热考题型-同步精品课堂(沪教版2020必修第一册)【导学案】3.2 指数函数的图象和性质课前预习-北师大版2019必修第一册第三章指数运算与指数函数
2 . 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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4卷引用:2 指数幂的运算性质
3 . (1)计算对数函数
当
,0.5,1,2,4,8时的函数值;
(2)计算常用对数函数
当
,10000时的函数值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee6b95762e409c1f256579274e574a44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/439b1e676529f907ef768edb9c61bd9c.png)
(2)计算常用对数函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03f0fadbe551b0e0eb7bf9440be740b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/689efe81f6d83461e72dbef5e01384b1.png)
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3卷引用:3.1 对数函数的概念
4 . 利用指数函数
的图象,由下列给定的x值,确定相应的函数值(结果精确到0.1):
,并找出方程
的近似解.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99b161347f6a2fcfd9bf0acf1e8a03fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb0cb4265786d19fff5525a846707252.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84b5f77721f326a3ec477d79c7b68e8d.png)
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3卷引用:3.指数函数
解题方法
5 . 求使下列不等式成立的实数x的集合:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/625c98d380687f21f24aa62a685c1ad1.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0db996c415b578a2349d806d8ee4e7df.png)
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5卷引用:3.指数函数
(已下线)3.指数函数北师大版(2019)必修第一册课本习题第三章§3 指数函数(已下线)第01讲 4.1指数+4.2指数函数—【练透核心考点】北师大版(2019)必修第一册课本例题3.2指数函数的图象和性质【导学案】3.2 指数函数的图象和性质课前预习-北师大版2019必修第一册第三章指数运算与指数函数
解题方法
6 . 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/0dc7ddb0ce33dc1f2a13136c66c6188c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/528804d0888246929e08be417ef41c6d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21c6732a51caadce469d554cec676c34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d52e1a35a44cfd999ce626b5c6825a5c.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aadb9015a21d7baf12ef8620fc5a0179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1fbbf404098f1d1948a0d3d667d397d.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0403b1edfa5264b83ac0f74dd46d7013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e017f12375aba912f0bfa9a45a9c5ea.png)
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4卷引用:3.指数函数
(已下线)3.指数函数北师大版(2019)必修第一册课本习题第三章§3 指数函数(已下线)第4章 幂函数、指数函数与对数函数单元复习+热考题型-同步精品课堂(沪教版2020必修第一册)北师大版(2019)必修第一册课本例题3.2指数函数的图象和性质
解题方法
7 . 比较下列各题中两个数的大小:
(1)
,
;
(2)
,
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/359f8b3cc1984e8fffa7b0e01888be64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1dd490d33cfd2cb1fa3a8c1bc09b1df.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0403b1edfa5264b83ac0f74dd46d7013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a79e857719b269489b6bf6ead529cd5.png)
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3卷引用:3.指数函数
8 . 用
,
,
表示下列各式:
(1)
;
(2)
;
(3)
;
(4)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db8d1e60de1eee844535bc62247c8776.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/930c3cceb0c8b9c84365d70105886d7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d9432b985fb78d057fc39f8a6086da4.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7acd079a0711dfaf93f0cb1db884f2b.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37fd64e60934535f5e61a51d5e86f600.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56ab4cc438a393fca6eec0cda44da002.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d63a64983612beaacd843d040f8263c4.png)
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6卷引用:2.1 对数的运算性质
(已下线)2.1 对数的运算性质北师大版(2019)必修第一册课本习题第四章2.1对数的运算性质(已下线)2.1对数的运算性质-同步精品课堂(北师大版2019必修第一册)(已下线)4.3 对数(6大题型)精讲-【题型分类归纳】(人教A版2019必修第一册)北师大版(2019)必修第一册课本例题2.1 对数的运算性质【导学案】2.1 对数的运算性质课前预习-北师大版2019必修第一册第四章对数运算与对数函数
9 . 化简(式中的字母均为正实数):
(1)
;
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cf9dc7bc910198d1c309d75a196ab93.png)
(3)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0860142d8da23d9e804254225d941c9f.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cf9dc7bc910198d1c309d75a196ab93.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4e1de586d04f3859e6f4c685bb82394.png)
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3卷引用:习题 3-2
10 . 化简(式中的字母均为正实数):
(1)
;
(2)
;
(3)
;
(4)
;
(5)
;
(6)
;
(7)
;
(8)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25b11a2674fb4b3e7332b35d5b7fb46c.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f74f261387e7f2e061fd9ef98b7ee910.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8212395b4841a676a15ee406b567f161.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b303493cd40241fae1c488480e1d5f6a.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a73c8188832c519a7601fbd07faf85f0.png)
(6)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbd975da4f093cced64b0c537bfe60fd.png)
(7)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/045a8127aa92a6edaec5035eb109656a.png)
(8)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/503ba4dd30950b7de050ca1a34c5b2f0.png)
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