名校
解题方法
1 . 设函数f (x)对任意x,y∈R,都有f (x+y)=f (x)+f (y),且当x>0时,f (x)>0,f (1)=2.
(1)求证:f (x)是奇函数;
(2)求证:
是
上增函数;
(3)当
时,求函数
的值域.
(1)求证:f (x)是奇函数;
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99a978a516dfc51771612af9796bd969.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca97e3aa8061c4d8e621c5598c69b13b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a39220319560ab38e9c41ad6275f66cb.png)
您最近一年使用:0次
2021-12-13更新
|
611次组卷
|
2卷引用:黑龙江省哈尔滨师范大学附属中学2021-2022学年高一上学期期中考试数学试题
名校
解题方法
2 . 已知函数
[1,2].
(1)判断函数
的单调性并证明;
(2)求函数
的值域;
(3)设![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dd3adf60aa103f4ba3096aea5af1b4c.png)
,
,
,求函数
的最小值
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/476427aeb8ebccc51846d8e027dd56ab.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dd3adf60aa103f4ba3096aea5af1b4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45bcd8f6ede8cc2513ad41402f40086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1766ad09bd00a6659f6da9b76bf067aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4133958c09fdd82cda8838c9cf46ccda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52a7b7c834d06f3e28a339db94690172.png)
您最近一年使用:0次
2021-11-08更新
|
544次组卷
|
7卷引用:黑龙江省八校2021-2022学年高一上学期期中数学试题