题目
题型:解答题难度:困难来源:不详
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035005-27365.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035005-29686.png)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035005-90837.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035006-19396.png)
(2)若函数
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035006-67414.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035006-13359.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035006-21252.png)
(3)若存在实数
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035006-31464.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035007-13036.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035007-52536.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035007-73371.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035007-23715.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035007-67461.png)
解析
试题分析:(1)函数奇偶性的判定,一要判定定义域是否关于原点对称,二要判定
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035008-70249.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035008-91411.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035006-67414.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035006-67414.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035006-21252.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035008-86172.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035006-67414.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035006-13359.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035008-85746.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035008-48129.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035009-19092.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035009-76542.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035009-33399.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035010-68491.png)
试题解析:(1)函数
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035006-19396.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035005-90837.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035010-58366.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035010-15391.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035010-32005.png)
∴函数
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035006-19396.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035010-95842.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035011-95257.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035006-19396.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035011-82295.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035011-72957.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035006-19396.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035011-69232.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035008-86172.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035006-19396.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035007-23715.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035006-19396.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035006-13359.png)
(3)方程
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035007-52536.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035011-68770.png)
①当
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035007-23715.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035006-19396.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035006-13359.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035007-13036.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035011-68770.png)
②当
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035011-90322.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035012-88918.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035006-19396.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035008-85746.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035008-48129.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035009-19092.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035012-59608.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035007-13036.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035011-68770.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035012-99718.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035011-90322.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035012-56332.png)
设
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035012-62968.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035006-31464.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035007-13036.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035011-68770.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035013-20971.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035012-62968.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035013-77797.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035013-66005.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035007-67461.png)
③当
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035013-63508.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035013-51169.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035006-19396.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035009-76542.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035009-33399.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035010-68491.png)
∴当
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035014-79720.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035007-13036.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035011-68770.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035014-30969.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035013-63508.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035014-21418.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035014-71132.png)
∵存在
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035006-31464.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035007-13036.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035011-68770.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035014-17142.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035014-71132.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035015-97165.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035015-19262.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035007-67461.png)
综上:
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035007-67461.png)
核心考点
试题【已知函数,.(1)若,判断函数的奇偶性,并加以证明;(2)若函数在上是增函数,求实数的取值范围;(3)若存在实数使得关于的方程有三个不相等的实数根,求实数的取值】;主要考察你对函数的单调性与最值等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818035002-23543.png)
A.是奇函数,且在![]() |
B.是奇函数,且在![]() |
C.是偶函数,且在![]() |
D.是偶函数,且在![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818034957-28020.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818034957-29320.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818034958-44560.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818034950-45865.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818034945-41507.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818034946-11487.png)
(1)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818034946-57649.png)
(2)判断
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818034946-57649.png)
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