名校
解题方法
1 . 已知函数
,且
的反函数为
.
(1)求
的值;
(2)若函数
,问:
是否存在零点,若存在,请求出零点及相应实数
的取值范围:若不存在,请说明理由
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d8329421d27b154c453428c17a9d12c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb2faa63899873813748f6a28b8a92e9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f2dc203b83eaac560bbbb006270cf5e.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/381d82d70f394f08451524af6e06754b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18c49ca8562b98657ca9c499093f7233.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2 . 如果直线
与直线
关于直线
对称,那么
,
的值分别为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eebeb0c65327c1472d14023a5027778.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/458ceb04cf4416a41c204d8df8d9eb13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
A.![]() ![]() | B.![]() ![]() | C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
解题方法
3 . 已知函数
.
(1)求
的反函数
;
(2)若函数
,当
时,
,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9ed0bb77f64ec4df4a4f5dae56afbcc.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32d6b59f4796a45963dea76b89c72bea.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e7c98d0986f51c040406c139354938a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac477594e609f621d5064581aebfde0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85cf5d3b1fa75e24552f90de2e3a325a.png)
您最近一年使用:0次
4 . 写出下列对数函数的反函数(用x表示自变量,用y表示函数):
(1)
;
(2)
;
(3)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2702a5539ca829b8b7a08407f0996e8a.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3775a629bb29e890fd37692f5a6cf71.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f4a90955ae3a90343d164a91e5f835c.png)
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5 . 写出下列指数函数的反函数:
(1)
;
(2)
;
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abe49779f2db4a075d3241052eb87d8b.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/027c2fdcfaaf830eab93c84ceed173bf.png)
您最近一年使用:0次
2023-10-08更新
|
185次组卷
|
3卷引用:北师大版(2019)必修第一册课本习题第四章3.1对数函数的概念
北师大版(2019)必修第一册课本习题第四章3.1对数函数的概念(已下线)3.1对数函数的概念-同步精品课堂(北师大版2019必修第一册)【导学案】3.1 对数函数的概念课前预习-北师大版2019必修第一册第四章对数运算与对数函数
6 . 写出下列对数函数的反函数:
(1)
;
(2)
;
(3)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c15363c3316b65131919ae855a5772d0.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0ea22683d6d5cdac7902d98b1c7995c.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c4364227baaee64f82479aadc719be9.png)
您最近一年使用:0次
2023-10-08更新
|
87次组卷
|
4卷引用:北师大版(2019)必修第一册课本习题第四章3.1对数函数的概念
7 . 判断正误(正确的打正确,错误的打错误)
(1)
是对数函数( )
(2)
(
,且
)是对数函数( )
(3)函数
(
,且
)的定义域为R( )
(4)
与
互为反函数( )
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8751499c93f487448cfa12950088e23.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7a2f9ef35de0bfc746a0f8f711720d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(3)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff7fa3a4215d34acaaed049343a43d09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99b161347f6a2fcfd9bf0acf1e8a03fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/217914b923bee2f2a54935e55dd23b8f.png)
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8 . 函数
的反函数
过点
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be8416ee044f44dedd4bafd778d99460.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da53929a8f67b9aa3827fdbd73ebd265.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c674c1aa095bd695c01b11c17e1c9d87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be8416ee044f44dedd4bafd778d99460.png)
您最近一年使用:0次
解题方法
9 . 已知函数
是
的反函数
且
,且函数
的图象过点
.
(1)求函数
的解析式;
(2)若
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c773633c5cfdccc24ee6388dc11b88e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e622d1087ac55db6fa3e450199446f3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42bb28003d53334358dddcbb449ba0b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5265d99095b635f62c7915298ec0e963.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3cba47780bdf599ff60971a07d24003.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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10 .
的反函数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cce427e97019745d570dd2728027fba5.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次