高斯是德国著名的数学家,用其名字命名的“高斯函数”为
,其中
表示不超过
的最大整数.例如:
.已知函数
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7179c645736d68c90023f83d7f11ed01.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/fcab58df90c8ee5e2d00c38877f4efde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcf0b121ca8bd1ba9dbf71308b8e3e68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b02e4fbda8319948741fd3e7fefbe456.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
22-23高一上·广东湛江·阶段练习 查看更多[2]
更新时间:2022-12-12 10:55:02
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【推荐1】已知函数f(x),g(x)分别由下表给出.
则
的值为________ . 当
时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
________ .
x | 1 | 2 | 3 | ||||
f(x) | 2 | 1 | 1 | ||||
x | 1 | 2 | 3 | ||||
g(x) | 3 | 2 | 1 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc83f94678b595d52018a088823e64f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f9ea04705009b2ba7b2888821c6aa2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
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【推荐1】已知定义在
上的函数
,若对任意两个不相等的实数
,都有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f720d33b3225807a390d8f192347f90c.png)
,则称函数
为“
函数":给出以下四个函数:
①
;②
;③
;④![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab48ded3c38f36525de462c49e426488.png)
其中“
函数”的序号为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f720d33b3225807a390d8f192347f90c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7c8f23ff7a155b9457575d275906be3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e5ad20aa96857a14314b8a924a9bd51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a04a031f054c64c14950f3db4804954.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7f4c8881594b92d4a1dede59bc645e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab48ded3c38f36525de462c49e426488.png)
其中“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
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【推荐2】若一系列函数的解析式和值域相同,但定义域不同,则称这些函数为“孪生函数”,如函数
与函数
就是“孪生函数”.下列四个函数:①
;②
;③
;④
可用来构造孪生函数的有_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55103e879acfaeb44b80f73dd7ef9730.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f8e7970405553da31b9d93a233c4e9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2016168a68d0ab74a14b16a6b84c25f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6534777c164d9da542e2c505bdba8e0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f42b2a9736c8943106472a7398d2892.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61e3b66275361ad50fb8728f0bc28584.png)
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