名校
1 . 高斯函数
是用德国著名的数学家高斯的名字命名的,即设
,用
表示不超过
的最大整数,例如
,
.已知函数
,有下列四个结论:①
;②
在
上单调递增;③
的最小值为0;④
没有最大值,其中所有正确结论的序号为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7179c645736d68c90023f83d7f11ed01.png)
![](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/985227b7b4703f3ed8717d0abc4febfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec13b2c5950301683e240faf02340617.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e86444c5514b63b441f29c0f511750a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/956cd0c33242381c2f977ab7b0435448.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad2edd8edcb21bd41584daf9bb95a5c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
A.①②③ | B.①③④ | C.①④ | D.①② |
您最近一年使用:0次
2024-04-08更新
|
198次组卷
|
2卷引用:山西省大同市第二中学校2023-2024学年高一下学期3月月考数学试题
2 . 给出下列五种说法:
①函数
与函数
的值域相同;
②若函数
的定义域为
,则函数
的定义域为
;
③函数
与
均为奇函数;
④若
,且
,
;
⑤已知
,
,若
至少有一个在
上单调递增,则实数
的取值范围是
.
其中错误说法的序号是___________ .
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6534777c164d9da542e2c505bdba8e0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83e4199718a33c4a468071ae41fc6174.png)
②若函数
![](https://img.xkw.com/dksih/QBM/2016/1/19/1572444034949120/1572444040822784/STEM/ef02389375d0472f8a21072144a811c2.png?resizew=36)
![](https://img.xkw.com/dksih/QBM/2016/1/19/1572444034949120/1572444040822784/STEM/b27c349ee66b4aeeb21e1df34d05dfeb.png?resizew=33)
![](https://img.xkw.com/dksih/QBM/2016/1/19/1572444034949120/1572444040822784/STEM/3b41e0cd4a874952a150f29ef50bed10.png?resizew=44)
![](https://img.xkw.com/dksih/QBM/2016/1/19/1572444034949120/1572444040822784/STEM/aadc0be3274641d3bf2e7b842f32b68d.png?resizew=33)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d03df5fa9ddc83cadfa47366117fdadf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f5d555bafb40c3326fdd4b4746fc123.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d742d95248b0405a80193874215697f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6855784817151468771f29c0fc38fc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f3c0bfb693d79bac900c5ed642b309a.png)
⑤已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa279306676cbc09ddcb9ff6f991a07a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc5eb6f0be10322fd87139356769adbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c0ed188d083966baaae94e6b86064f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d79fe3414b32bbd1190b41ed8307f905.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764831b697320aef0711e81678fbbf8a.png)
其中错误说法的序号是
您最近一年使用:0次