名校
解题方法
1 . 定义在
上的函数
满足
,且对任意的
(其中
)均有
.
(1)判断并证明函数
的奇偶性;
(2)若
对所有
恒成立,求实数
的取值范围;
(3)若(1)中的函数
的图象是经过
和
的一条直线,函数
的定义域为
,若存在区间
,使得当
的定义域为
时,
的值域也为
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac7a77d30c7e410321b05c87af92afe7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1e32125207addc3fdb92ceb0ec80ce8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fef1e839c3ddd3047b448ae6f8fe7e6f.png)
(1)判断并证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd0f96b88c346f396d9bbc65ad44d738.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9883c87fe52e83a94f6edf790bd1ff6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c395021157c73ac8dcde32864f7e121.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(3)若(1)中的函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b2c84e7b41a841a230ed5f8a42309aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29343388ca8b33dc98325e65382b38a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b093b467e4d9a3b8186d2e11f72fdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d0195f699765021e2c6ea985e487971.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2024-01-10更新
|
195次组卷
|
2卷引用:安徽省六安市第二中学2023-2024学年高一上学期期末数学试题(一)
名校
解题方法
2 . 若函数
的定义域为
,且对任意
,
恒成立,则称函数
为“同步”函数.已知
是“同步”函数,则a的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec72ca557aa4229ee871628ffcf0d8a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84ec49f60fb085d07dc79a2728e51dd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/137cd56b9b3098f2c12134eae5dc7f07.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2022-12-14更新
|
543次组卷
|
3卷引用:安徽省六安市第二中学2022-2023学年高一上学期期末考试数学试题