题目
题型:解答题难度:一般来源:不详
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050043-76675.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050043-64499.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050044-13212.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050044-94719.png)
(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050044-36985.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050044-70331.png)
(2)若函数
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050044-70331.png)
①直接写出
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050044-97760.png)
②若对任意实数
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050045-20988.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050045-31899.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050045-59566.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050045-98514.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050045-47415.png)
解析
(1)因为当
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050046-40452.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050046-57387.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050044-70331.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050046-81818.png)
(2)根据函数单调性,对于参数a分为正负来讨论得到取值范围。
(3)因为
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050045-31899.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050046-73472.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050044-70331.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050046-63267.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050044-70331.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050043-64499.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050047-75435.png)
(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050046-40452.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050046-57387.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050044-70331.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050046-81818.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050045-98514.png)
(2)①当
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050047-83117.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050047-91585.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050044-94719.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050047-58063.png)
由于奇函数关于原点对称的区间上单调性相同,所以
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050044-70331.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050047-89132.png)
又在
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050047-89132.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050048-40379.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050048-41757.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050048-26389.png)
所以当a
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050048-41504.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050048-85268.png)
当a>0时,
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050048-85268.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050048-87083.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050049-39440.png)
所以函数
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050048-85268.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050049-43450.png)
②因为
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050045-31899.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050046-73472.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050044-70331.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050046-63267.png)
又因为
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050044-70331.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050043-64499.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050047-75435.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050049-51849.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050045-47415.png)
核心考点
试题【(16分)已知函数是定义在上的奇函数,且当时,.(1)当时,求函数的解析式;(2)若函数为单调递减函数; ①直接写出的范围(不必证明);②若对任意实数,恒成立,】;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/20190818/20190818050042-91736.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050042-23076.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050042-91736.png)
A.(-1,0) | B.(0,1) |
C.(-∞,0) | D.(-∞, 0)∪(1,+∞) |
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050036-92064.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050037-57873.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050037-82823.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050037-91707.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050037-49621.png)
(3)若
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050037-37846.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050037-49288.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050033-92647.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050033-90067.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050033-86115.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050033-92647.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050034-53846.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050034-52771.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050030-38224.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050030-76662.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050030-54744.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050030-81208.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050030-65422.png)
A.最大值-10 | B.最小值-10 | C.最小值—26 | D.最大值-26 |
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818050027-48572.png)
最新试题
- 1材料一:雷锋,离开我们已经整整51年了。作为一名普通的中国人民解放军战士,雷锋在短暂的一生中助人无数。一部可歌可泣的《雷
- 22014年3月5日,学雷锋日来临之际,中共中央******给“郭明义爱心团队”回信,对他们服务社会、助人为乐、爱岗敬业给
- 3小明用如图所示的滑轮组,将重为1.5N的物体匀速提升到一定高度,在此过程中,手拉力的大小实际应该是( )A.大于
- 4如图所示的四幅图中,能反映出发电机工作原理的是
- 5两宋时期,全国的经济重心从黄河流域转移到( )A.黄河流域B.长江流域C.太湖流域D.淮河流域
- 6阅读下列材料,回答问题。材料一 历代王朝都以“会典”“律例”“典章”或“车服制”“舆服制”“丧服制”等各种条文颁布律令,
- 7(12分)阅读图文资料,完成下列要求。九寨沟位于岷山主峰雪宝顶北侧。第四纪冰川在巨厚的石灰岩基础上雕塑了现代地貌的雏形,
- 8下列对热学知识进行的归纳总结中,正确的是( )A.下滑时通过做功增加了物体内能B.空气推动塞子时内能增加C.海边昼夜温
- 9经济界人士预言,21世纪经济将没有国界:欧洲统一货币的实施,世界性跨国公司的相互合并,世界性统一生产规格的逐步完善,以及
- 10二次函数y=ax2+bx+c的图象如图所示,则下列关系式不正确的是[ ]A.a<0B.abc>0C.a+b+c>0
热门考点
- 1 ―Are you disappointed with the result of the experiment?―No
- 2将三封信投入三个信箱,可能的投放方法共有( )种1 B.6
- 3若a+=2则a2+ =[ ]A.B.3 C.0 D.-4
- 42008年北京奥运会离我们越来越近了,如图1分别是火炬“祥云”和主场馆“鸟巢”.根据你初中化学所学知识回答下列问题:(1
- 5已知全集中有m个元素,中有n个元素。若非空,则的元素个数为A.B.C.D.
- 6已知15x2y与-29xmyn与是同类项,则|-2m+n|+|m-3n|的值是______.
- 7某工厂现有原料甲360千克,原料乙290千克,用这两种原料生产A、B两种产品共50件,已知生产一件A需用甲原料9千克,乙
- 8[化学——选修5:有机化学基础](15分)某有机物A的水溶液显酸性,遇FeCl3溶液不显色,A分子结构中不含甲基,含苯环
- 9下列各组数是三角形的三边,能组成直角三角形的一组数是( )A.2,3,4B.3,4,5C.6,8,12D.3 ,4 ,
- 10(14分)一个人的理想越远大,其人生价值就越大。请评析该观点。