已知函数
(1) 求证:

在

上为增函数; (2)当

,且

时,求

的值.
(1)设

则

…2分

…2分

在

上为增函数 …1分
(2)

,且
由图(略)可知

…1分


…1分

练习册系列答案
相关习题
科目:高中数学
来源:不详
题型:单选题
(理科)已知函数

是定义在R上的奇函数,函数

的图象与函数

的图象关于直线

对称,则

的值为
查看答案和解析>>
科目:高中数学
来源:不详
题型:单选题
在一次研究性学习中,老师给出函数

,三位同学甲、乙、丙在研究此函数时给出命题:
甲:函数

的值域为

;
乙:若

,则一定有

;
丙:若规定

,则

对任意

恒成立.
你认为上述三个命题中正确的个数有( )
查看答案和解析>>
科目:高中数学
来源:不详
题型:解答题
已知:函数

对一切实数

都有


成立,且

.
(1)求

的值。
(2)求

的解析式。
(3)已知

,设P:当

时,不等式

恒成立;Q:当

时,

是单调函数。如果满足P成立的

的集合记为

,满足Q成立的

的集合记为

,求

∩

(

为全集)。
查看答案和解析>>