题目
题型:解答题难度:一般来源:不详
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233240-61715.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233241-47574.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233241-62220.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233241-42032.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233241-52200.gif)
(1) 如果函数
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233241-47574.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233242-11713.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233242-25506.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233241-47574.gif)
(2) 如果
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233241-52200.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233242-11713.gif)
(3) 证明:点
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233241-52200.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233241-47574.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233241-52200.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233241-47574.gif)
答案
(1)(1,0)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233242-89218.gif)
(3)略
解析
解:(1)【法一】因为
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233241-47574.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233242-36500.gif)
得:
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233242-59078.gif)
当
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233242-77027.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233243-44490.gif)
有
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233243-78941.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233241-47574.gif)
【法二】
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233243-17981.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233243-78941.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233243-46337.gif)
求得
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233242-77027.gif)
当
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233242-25506.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233243-44212.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233244-30138.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233244-12786.jpg)
得:
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233244-92766.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233242-89218.gif)
(3)由(2)得点
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233244-17163.gif)
又
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233245-20223.gif)
=
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233245-24717.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233241-52200.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233241-47574.gif)
【法一】
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233245-43986.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233245-40182.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233241-47574.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233245-40182.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233245-57433.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233246-54776.gif)
而
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233246-44699.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233246-32318.jpg)
对称中心为
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233246-80171.gif)
把函数
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233247-34056.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233247-70451.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233241-47574.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233247-41886.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233241-47574.gif)
核心考点
试题【(本小题满分14分)设函数,的两个极值点为,线段的中点为.(1) 如果函数为奇函数,求实数的值;当时,求函数图象的对称中心;(2) 如果点在第四象限,求实数的范】;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/20190818/20190818233235-57896.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233235-98639.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233235-57896.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233235-20570.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233236-86219.png)
A.![]() |
B.![]() |
C.![]() |
D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233232-49381.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233232-18280.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233233-82298.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233232-18280.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233233-24013.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233232-18280.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233232-18280.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233232-18280.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233233-91198.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233232-18280.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233233-60675.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233232-18280.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233233-51745.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233234-42249.png)
A.1个 | B.2个 | C.3个 | D.4个 |
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233230-25446.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233231-97786.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233231-65946.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233231-38347.gif)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233224-70990.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233224-87654.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233224-33776.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233224-18632.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818233225-33751.jpg)
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