名校
解题方法
1 . 设
,用
表示不超过
的最大整数,则
称为高斯函数.例如:
,
.已知函数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4c607a62a8c3f1a29916f8fa0b8fb7f.png)
________ ,函数
的值域为_______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.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/7179c645736d68c90023f83d7f11ed01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2a6c086cd67c729ec094c21c0d45a5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04d0024c22d248668a379d8dd1b84cad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94e6743dc8683554235543c456aa8be6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4c607a62a8c3f1a29916f8fa0b8fb7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c92a5aa37427537837be7d77d51c84c6.png)
您最近一年使用:0次
解题方法
2 . 已知函数
为
上的奇函数,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0632bc67a48ee16de53fe7e19ec3328.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf1f511652eceda2749095d08612afb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0632bc67a48ee16de53fe7e19ec3328.png)
您最近一年使用:0次
解题方法
3 . 若定义在区间
上的函数
满足:对于任意的
,
,都有
,且
时,有
,若
的最大值为
,最小值为
,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0e1deb17f009710a8f1ce2b4f4ff2ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ff3722c8695bb7156d956ba2dd2a9af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cd4b42a4e92dcce62ee7377651f2d47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/593fe2e851566eea2fe438e509f185ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ae0f8520349250a31be6d58542ef2d9.png)
您最近一年使用:0次
名校
4 . 已知函数
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7e2b7e28067d812eecd139fee7ac0eb.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/250a3b258b3470f01ea99926d8085eb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c8d601e83386c7ca459d15f0298dc7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7e2b7e28067d812eecd139fee7ac0eb.png)
您最近一年使用:0次
解题方法
5 . 已知函数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0632bc67a48ee16de53fe7e19ec3328.png)
_________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c51f6500839ac3936d4947f1c0f72b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0632bc67a48ee16de53fe7e19ec3328.png)
您最近一年使用:0次
解题方法
6 . 已知函数
,
,
,且
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4e9bb42376c12d7d21702ae8062b25a.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c06072f9f3cf9dee45c80a13291d0d85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dd0914dc4d4c7f75710ff460a286fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a22a5fa62ba8d49ec14d0b5e9b8dabf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/896df31f80127adbae738b3a014bd4e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4e9bb42376c12d7d21702ae8062b25a.png)
您最近一年使用:0次
7 . 已知函数
,
分别由下表给出:
满足
的所有
的值的和为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![]() | 0 | 1 | 2 | ![]() | 0 | 1 | 2 | |
![]() | 0 | 2 | 1 | ![]() | 2 | 1 | 0 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61b7fe0e20871b778664e9865125df88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
名校
解题方法
8 . 已知
是定义在
上的奇函数,且
,当
时,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b83fe6062ebed72f4b3c088a8545514a.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/112e02bc4c05dc711e62543ff70eb984.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcac1e85463a3177f487d896b3d1d24c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9b25472f2e834106c0747873a6e5c82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b83fe6062ebed72f4b3c088a8545514a.png)
您最近一年使用:0次
9 . 已知函数
则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35c1686d7874647916edb7aa214e90a4.png)
_______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/285dbc8ef650c61f22daafc29d0737d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35c1686d7874647916edb7aa214e90a4.png)
您最近一年使用:0次
解题方法
10 . 已知函数
满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9471b4864932cd4ea3410c5bb85e71b.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78840c92570c8119aeecd14414b736c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9471b4864932cd4ea3410c5bb85e71b.png)
您最近一年使用:0次