名校
解题方法
1 . 高斯是德国著名的数学家,人们称他为“数学王子”,他和阿基米德、牛顿并列为世界三大数学家.用其名字命名的“高斯函数”为:设
,用
表示不超过x的最大整数(例如:
,
),则
称为高斯函数.已知函数
,
,下列结论中不正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2ab85825d4a002600ca41bd3cd2ee7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c20118f5251c23c3b861d2262f2d5c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e935bb66ce8ce69c0a4043aa5c820a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7e3204e4dc47a448860779349efcedf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f490ccce3c01c6ce4da5f38a5e495e6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92393df5b72b845aeaf7646aa3e63753.png)
A.函数![]() |
B.函数![]() ![]() |
C.函数![]() ![]() |
D.函数![]() |
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2022-01-28更新
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4卷引用:湖南省张家界市2021-2022学年高一上学期期末联考数学试题
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2 . 已知函数
,则下列结论错误的是( )
①
时,函数
图象关于
对称;②函数
的最小值为-2;③若函数
在
上单调递增,则
;④
,
为两个不相等的实数,若
且
的最小值为
,则
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83b3fd9d4fa63d1bae1a76a90f0ff9dc.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dcee772e6187ac31d7f8d69b0487000.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c63e1c64c42b7f3b7fdc396d4756cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fe0e99cd239e789a9df7b181e98a10b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/787f2c8b1d9d1ef0cf740d2fd9b25a8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd2dc6d650e0885a1001c7a102b9c981.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dc191ebded559cc4e6752b9a4e2727c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c05a467ddaa138590b3b56615c2c42a5.png)
A.②③ | B.②④ | C.①③④ | D.②③④ |
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