题目
题型:解答题难度:简单来源:不详
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182726-66628.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182726-97155.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182726-70563.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182726-89664.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182727-19117.png)
(Ⅰ)下面给出两组函数,
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182726-89664.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182727-19117.png)
第一组:
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182727-76995.png)
第二组:
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182727-88613.png)
(Ⅱ)设
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182727-70699.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182726-89664.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182727-81877.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182728-62138.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182728-34269.png)
(Ⅲ)设
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182728-60680.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182728-56468.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182726-89664.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182729-49442.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182729-50368.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182729-39011.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182729-55614.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182729-33335.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182726-89664.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182727-19117.png)
② 设
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182730-92848.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182730-80246.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182730-84364.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182726-89664.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182727-19117.png)
(Ⅱ)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182730-33825.png)
若不等式
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182727-81877.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182728-62138.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182727-81877.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182730-15266.png)
设
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182731-20197.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182731-52499.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182731-36820.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182731-33737.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182731-10072.png)
(Ⅲ)由题意,得
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182732-42651.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182732-25087.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182732-87472.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182732-99279.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182732-22243.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182733-58035.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182733-88944.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182733-31360.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182733-35031.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182733-77557.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182734-92059.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182732-99279.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182734-16908.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182734-39696.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182734-26328.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182734-67588.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182735-86165.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182735-65771.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182732-99279.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182734-16908.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182735-17957.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182735-25177.png)
综上可知,
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182735-21386.png)
解析
核心考点
试题【(本小题满分16分)对于函数,如果存在实数使得,那么称为的生成函数.(Ⅰ)下面给出两组函数,是否分别为的生成函数?并说明理由;第一组:;第二组:;(Ⅱ)设,生成】;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/20190819/20190819182722-13408.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182722-80471.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182722-47474.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182722-90130.png)
A.x-y-2=0 | B.x-y=0 | C.3x+y-2=0 | D.3x-y-2="0" |
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182716-49409.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182716-23739.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182716-13918.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182716-19587.png)
A.R>Q>P | B.R>P>Q | C.P>R>Q | D.Q>P>R |
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182710-59595.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182710-61996.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182711-41394.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182711-43704.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182711-18952.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182711-84100.jpg)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182702-57865.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182702-17736.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182703-21599.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182703-62945.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182703-69169.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182703-33865.jpg)
A.k<l | B.![]() | C.k >-1 | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182659-65334.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182659-59482.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819182659-11613.png)
A.(2, 3 ) | B.(3, 4 ) | C.(0, 1 ) | D.(1, 2 ) |
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