1 . 已知实数
、
满足
.试求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7b427e2ad04a8310e64ad590c4b811b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76ad4fa278af42d3ef21266f4c8d3ded.png)
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2 . 设函数
,当
时,
恒成立.则
的取值范围是____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22f4b71b9376895a7297629ae6934ed3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb433b1b78dbf82889ae82a689b8b46e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64237c5328d1c28b1a5717f5512ffd35.png)
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3 . 函数
的值域是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/202e8ac1686be900d1b922219e42f575.png)
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4 . 若函数
的值域为
,则实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b18b227d7465acdadb69b9c5904eda2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
5 . 设函数
的值域为
.则满足条件的函数
的个数为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828a6d1060f83c3a853e2f5597489aac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba6f56255cc5e39fdab460a6a4d7a87d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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6 . 已知定义域在
上的函数
满足:对
,有
.则函数
的值域为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d188ec2580e273ce87e51653a2177ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3aa5abd1bd30045669bb6245db18bdcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/697c1fedc029805bee842de0448fa862.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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7 . 函数
的值域为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b8bd2cc766b537bd06f714f738f2b01.png)
您最近一年使用:0次
8 . 给定
. 对
,定义
. 求
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4070741392c7fe758cbed46408897d52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/209559aca6bf32705588b6a40e0b7320.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/480863e9e3765722238a208321d0ade3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38fcec7af3520884b173b29bda6c657a.png)
您最近一年使用:0次
9 . 已知函数
,其中
表示不超过
的最大整数.若
时,
的值域为
,记
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36304502dd9ae85a33ed38d59c655ea5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11dcd21c9fecf26f11f0fe6426c4762a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5da2a9c3d26760744360683ba271b251.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
您最近一年使用:0次
10 . 定义区间![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
的“长度”等于
.若定义域非空的函数
的定义域和值域的长度相等.则
=________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f638f57e9566b938633785bdd79c864c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13502d46b8563c54c09b29b20b3006a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfa1e00ee084e015955c9a1a8c5b4108.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次