题目
题型:解答题难度:简单来源:不详
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234744-15516.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234744-96264.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234744-62818.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234744-30322.gif)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234744-15516.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234745-67321.gif)
(2) 证明
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234744-15516.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234745-44111.gif)
(3)当
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234745-59076.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234745-37113.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234745-82023.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234746-54949.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234746-92114.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234746-63389.gif)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234744-15516.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234746-62980.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234744-15516.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234746-36006.gif)
又
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234747-78157.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234747-96555.gif)
综上:
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234747-16114.gif)
(2)(解法一)证明:设
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234747-31905.gif)
则
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234747-80806.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234748-61036.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234748-52087.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234748-70182.gif)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234747-31905.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234748-17971.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234748-81941.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234749-37422.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234749-83649.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234749-38442.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234749-90683.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234749-75458.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234750-13976.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234750-54236.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234744-15516.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234750-80974.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234750-10241.gif)
(解法二)证明:∵
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234750-17054.gif)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234751-11296.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234751-67562.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234751-51166.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234751-60373.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234751-94675.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234752-33190.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234752-15323.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234744-15516.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234750-80974.gif)
(3)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234744-15516.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234744-96264.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234744-15516.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234745-44111.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234744-15516.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234752-86789.gif)
∴当
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234752-86579.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234752-68304.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234753-22796.gif)
∴要使方程
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234745-37113.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234750-80974.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234753-64736.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234753-64860.gif)
解析
核心考点
试题【(本题满分12分)已知是定义在上的奇函数,且当时,.(1)求在上的解析式; (2) 证明在上是减函数;(3)当取何值时,在上有解.】;主要考察你对函数的奇偶性与周期性等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234742-23941.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234742-22496.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234743-93790.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234743-99420.gif)
( )
A.-3 | B.-1 | C.1 | D.3 |
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234737-91720.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234737-95677.gif)
则
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234737-52350.gif)
A.![]() | B.![]() |
C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234734-30766.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234734-87078.gif)
A.0 | B.1 |
C.![]() | D.5 |
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234735-12319.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234731-62223.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234732-90034.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818234732-52275.gif)
A.-1 | B.1 | C.-2 | D.0 |
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