名校
1 . 在下列命题中,正确命题的序号为___________ .(写出所有正确命题的序号)
①函数
的最小值为
;
②已知定义在
上周期为4的函数
满足
,则
一定为偶函数;
③定义在
上的函数
既是奇函数又是以2为周期的周期函数,则
;
④已知函数
,若
,则
.
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/800e649f49ad991b8eca1933d02a5ca2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8aae28ca96120a3ec1f4ce541db3580.png)
②已知定义在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aeeb9b81e3c6a0d36add7093b657832.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
③定义在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9626c180cc029e80e9b3b008038c67d.png)
④已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7192d87d0fa400d5d7dba57924bbbe3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33ecda7bfb0a2043306bf7707a136ad0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f74fe8b70a97156754d8e878f6607719.png)
您最近一年使用:0次
名校
2 . 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 |
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2024-04-08更新
|
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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
名校
3 . 已知幂函数
的图象经过点
,下面给出的四个结论:①
;②
为奇函数;③
在R上单调递增;④
,其中所有正确命题的序号为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12fd3f824de23c06390dfb7ca2dc9fa0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97a9275848b5c91230c249a45f1bfc05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9837b97eb4c1b73f0e714e4ad7113d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36662cb9a47cb69c1ddb4750da84d4a1.png)
A.①④ | B.②③ | C.②④ | D.①②③ |
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2023-11-16更新
|
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4卷引用:山西省吕梁市2024届高三上学期11月月考数学试题
山西省吕梁市2024届高三上学期11月月考数学试题(已下线)【第三练】3.3幂函数(已下线)3.3幂函数 【第三练】“上好三节课,做好三套题“高中数学素养晋级之路安徽省淮南市淮南四中2023-2024学年高一上学期第二次段考数学试题
名校
解题方法
4 . 已知函数
给出下列结论:①
是偶函数;②
在
上是增函数;③若
,则点
与原点连线的斜率恒为正.其中正确结论的序号为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f02beaae191a380d7124e26de2128339.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fff6e7e2b9f2b68b1647f6350b98dc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e560b5246bb13e0e6bc15a5913eb879.png)
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2022-04-24更新
|
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9卷引用:山西省2022届高三第二次模拟数学(理)试题
山西省2022届高三第二次模拟数学(理)试题山西省朔州怀仁市2022届高三第三次模拟数学(理)试题(已下线)专题09 指数与指数函数(已下线)考向10 指数与指数函数(重点)黑龙江省大庆实验中学2021-2022学年高考数学预测试题(三)理工类试题广西玉林市博白县2022届高三下学期热身训练数学(文)押题卷试题(二)广西玉林市博白县2022届高三下学期热身训练数学(理)押题卷试题(二)(已下线)考点04 指对幂函数-1-(核心考点讲与练)-2023年高考数学一轮复习核心考点讲与练(新高考专用)(已下线)专题09 指数与指数函数-2
名校
解题方法
5 . 已知函数
的定义域为R,它的图像是一条连续的曲线,且满足:
,
,
在区间
上单调递增,则下列说法中,正确说法的序号是__________ .
①
;
②
的一个周期为2;
③
是奇函数;
④
的图象的一条对称轴是
;
⑤
在区间
上单调递增.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8df051df8792797fb2299ea8f3b1ed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a05e78f291a97c2257d4618c61f4c7b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cb788ae88e457017bb81120b6a2e5ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4c52cbcc20bcbc23fb2ab7fa672ad02.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cb788ae88e457017bb81120b6a2e5ee.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cb788ae88e457017bb81120b6a2e5ee.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cb788ae88e457017bb81120b6a2e5ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
⑤
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cb788ae88e457017bb81120b6a2e5ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b3a3dfdae45ae925f9d92062a5f99b.png)
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2023-10-03更新
|
452次组卷
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2卷引用:山西省晋中市博雅培文实验学校2023-2024学年高一上学期第三次月考数学试题
6 . 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
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7 . 给出下列4个判断:
①若
在
上增函数,则
;
②函数
只有两个零点;
③在同一坐标系中函数
与
的图像关于
轴对称;
④定义在
上的奇函数
满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de2d8b33e21f100914f121750d930499.png)
其中正确命题的序号是______ .
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd4b369f86d13d19556d0ae4f7aece51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7dcdd87d593df4a5c5e98d47fe1cfa6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1fe2115d883d13561e28006d3f6143b.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c298e3b72856ab70082079d5105e8873.png)
③在同一坐标系中函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99b161347f6a2fcfd9bf0acf1e8a03fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ef9d69de06c1300c314c3c6623abb1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
④定义在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86d78dec1c1e00ec02d7bdaf76ef8901.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de2d8b33e21f100914f121750d930499.png)
其中正确命题的序号是
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