题目
题型:解答题难度:一般来源:不详
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191659-86093.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191659-27468.gif)
函数
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191659-52964.gif)
(1) 若函数
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191700-12612.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191700-66760.gif)
(2) 若
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191700-57782.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191700-94708.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191700-53640.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191700-25855.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191701-82160.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191700-94708.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191701-70651.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191701-59828.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191700-94708.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191700-12612.gif)
可得
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191702-87796.gif)
从而
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191702-65522.gif)
当
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191702-46506.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191702-44418.gif)
当
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191702-12068.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191703-85655.gif)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191700-66760.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191703-79632.gif)
(2)由函数
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191701-82160.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191700-25855.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191703-42714.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191700-25855.gif)
所以,对于任意
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191703-18170.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191704-19496.gif)
即对于任意
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191703-18170.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191704-46296.gif)
∴我们考虑将
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191704-63203.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191704-36372.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191705-90287.gif)
所以,令
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191705-57107.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191705-48520.gif)
又
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191705-86813.gif)
所以,令
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191705-45800.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191706-44528.gif)
解析
核心考点
试题【对于定义域分别为的函数,规定:函数(1) 若函数,求函数的取值集合;(2) 若,其中是常数,且,请问,是否存在一个定义域为的函数及一个的值,使得,若存在】;主要考察你对指数函数图象及性质等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191657-49804.gif)
(1)判断下列三个命题的真假:
①
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191657-13047.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191657-96195.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191657-31332.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191657-13047.gif)
其中真命题有____________________;(写出所有真命题的序号)
(2)满足
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191657-15081.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191657-42636.gif)
设函数
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191654-89143.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191654-54611.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191654-20542.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191655-22862.gif)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191655-59437.gif)
(2)若函数
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191655-65912.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191655-70127.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191655-16342.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191650-86789.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191650-65574.png)
A.4 | B.5 | C.8 | D.9 |
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191648-74081.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191648-73421.gif)
A.0 | B.1 | C.2 | D.3 |
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191641-34909.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191641-85369.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819191641-62849.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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