1 . 已知下列命题
①函数
的定义域为
;
②函数
与
的图象关于直线
对称;
③若函数
是
上的单调递增函数,则
;
④函数
(其中
)的一部分图象如图所示,则
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/16/e79ff785-e44c-4268-9fb7-f94255ccb995.png?resizew=111)
其中正确命题的序号为__________ .
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fb49d7bae35f02e4a2ede5c14ed1e09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ac767ee208266e9340d903f82517e98.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99b161347f6a2fcfd9bf0acf1e8a03fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/808bd2fc4b344e7669fca65b4fa122df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
③若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18ad61cb3ec8b1e57179f3feb625c7c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f1b5a8d36a2c51143d30ec71ecfc442.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/884a566e78bf6a47d901871960c1d000.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b14fd82a003d2169031a410c5aa7cce0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29b9b50493db5bace567ec6bda1924cd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/16/e79ff785-e44c-4268-9fb7-f94255ccb995.png?resizew=111)
其中正确命题的序号为
您最近一年使用:0次
解题方法
2 . 若函数
有最小值,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d079eb4509a31a461775601f7655d7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
3 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e63f5e55fa52bfd33b893b43450f80e.png)
(1)已知函数
,若方程
在
上有四个不相等的实数根,求:实数
的取值范围;
(2)若函数
的定义域为
,求:函数
的最值;
(3)
,不等式
恒成立,求:实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e63f5e55fa52bfd33b893b43450f80e.png)
(1)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4866901bf4c72adda935fddce76ed10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bee6edcd14735d5ffc686caf41bbbe91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9af3016ebe0c067782b2e6ef771c955.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d3475f7a186b113ceac3a918d20e238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c8b67c150cb8f83b41f8ecf1d5ee0fc.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad0be5ff925023d33f7305c204a22243.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bf384a5fc8e162385160a4f79bd638e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
解题方法
4 . 已知函数
,且
.
(1)求实数m的值;
(2)根据函数单调性的定义证明
在区间
上单调递增.
(3)若
,求
值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2f53fb7e06388eefea683bd5fe86106.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9da4fdfdddc259dcef9fdd4b826b64.png)
(1)求实数m的值;
(2)根据函数单调性的定义证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccfdd3d02b54e997cbec983d80f6bafd.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ac6a2f7366e0190592444bb60d3cea4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
解题方法
5 . 已知函数
(
,且
)与幂函数
.
(1)当
的图象过点
时,求
的值;
(2)当
的图象过点
时,求
的值;
(3)在(1)、(2)的条件下,求函数
在区间
上的最大值和最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f212e63cafd79ee0a45b0bd5581b723.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9945ebacc01cfc685ef005a71bd2604d.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7362fa526a84b0ce2f5a2021dbc44399.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad956052b325fcf78b97901e364bc5b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd1f0ace9ca0b79929e73af6c201c2e.png)
(3)在(1)、(2)的条件下,求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67fabe01bc388133edfcff0c4c72e35b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
您最近一年使用:0次
名校
解题方法
6 . 已知函数
,若
在
上恒成立,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d34004a47aafb6fdfc0fc09ebdc1bd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26dcaa25d16a500a5af7384ef2a8b1fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6070f2ee5e48cce77eb4a2cb9f11ccfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-01-24更新
|
340次组卷
|
3卷引用:天津市部分区2023-2024学年高一上学期期末练习数学试题
解题方法
7 . 函数
的定义域为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f7d8d450cb1bf334f4ea917d257e9cb.png)
您最近一年使用:0次
名校
解题方法
8 . 设函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddbf868c3882e1e1356382a585d1f147.png)
(ⅰ)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b15c98b9b139d1e174f4f7c8ba47fee.png)
______ ;
(ⅱ)若存在实数
,
,
,
满足
,且
,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddbf868c3882e1e1356382a585d1f147.png)
(ⅰ)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b15c98b9b139d1e174f4f7c8ba47fee.png)
(ⅱ)若存在实数
![](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/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/365b38a7689a8eede6820cd6f1fe952b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3604274ad6707a906eba371a9e884144.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2714f1eb0e74a1a31fa2c35275d368e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/404fcd864d60eeaf40c3c713797bfb90.png)
您最近一年使用:0次
2024-01-18更新
|
362次组卷
|
2卷引用:天津市滨海新区2023-2024学年高一上学期期末检测卷数学试题
解题方法
9 . 已知函数
,若关于
的方程
有4个不同的解,
,其中
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4682de800665cf4d5f6f466d623bcdae.png)
__________ ,
的取值范围为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95c9177d2af51adfd0c902d9bd6991b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c0d827ef8598ba6b70b34b2bdcd1e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8ccd22fd0ca1a8e1468329284f91b6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3604274ad6707a906eba371a9e884144.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4682de800665cf4d5f6f466d623bcdae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff0cc9610b53a3bf4d2cdd05cab5168e.png)
您最近一年使用:0次
解题方法
10 . 给定函数
,
,
.
(1)求不等式
的解集;
(2)
,用
表示
,
中的最大者,记为
,用解析法表示函数
;
(3)设函数
在
上的最小值为
,求函数
的表达式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26af862ac8e4e2fe03204b0463a7a789.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e34d0dcc6c8d3ec910b04cd20cba5be8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43920f5171ed31db2520ef00e4c5fc24.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/531bcdb6324cb5a759301daddf9768c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/316f701027f4bd38abca039b3499b498.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/531bcdb6324cb5a759301daddf9768c0.png)
(3)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/531bcdb6324cb5a759301daddf9768c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48222eea9755a7c7635578031a573bc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18b36da3b4cc0a0cc408ef324b04c9d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18b36da3b4cc0a0cc408ef324b04c9d4.png)
您最近一年使用:0次