名校
解题方法
1 . 函数
的图像大致为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dd672883afe50a1609e909f897f3200.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-06-11更新
|
1162次组卷
|
2卷引用:广东省六校(北江中学、河源中学、清远一中、惠州中学、阳江中学、茂名中学)2023-2024学年高一下学期联合质量监测考试数学试题
名校
2 . 已知函数
.
(1)若
的定义域为
,求
的取值范围;
(2)若
的值域为
,求
的取值范围;
(3)设
,若对任意
,函数
在区间
上的最大值与最小值的差不超过1,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d849b398ebe71b26f1430e0d5938aaac.png)
(1)若
![](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/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](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/0a6936d370d6a238a608ca56f87198de.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdc0e2d6debff3defb88984d2592e955.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c82dca4a0e082b5cbdb1beb6f4d1e2f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
解题方法
3 . 下列函数既是偶函数,又在
上是减函数的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad2edd8edcb21bd41584daf9bb95a5c7.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
解题方法
4 . 已知函数
的定义域为
,
,
为奇函数,且
,则( )
![](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/c4c9a983d1b1c33cfa64aada076c20d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0062d7dfd78c901789b09acab78a8eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c97bbfb26318021a73c0c7647c2701.png)
A.![]() | B.![]() |
C.函数![]() | D.![]() ![]() |
您最近一年使用:0次
5 . 已知函数
的定义域为
,对任意
都有
,
,且当
时,
.
(1)求
;
(2)已知
,且
,若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e64541d7f445079207b6f671adc7d662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab0c6f119137e1b6760d55956d99d963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36f247866d4020ed309d4e4d121ce445.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3e4fa30ce3e0ad3d98f0156abaf714.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/060e7930731eddbcfac592b808e9b698.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65b5f9887eb121174fc58d928161696.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
解题方法
6 . 已知函数
是定义域为
的奇函数.
(1)求
的值;
(2)用定义证明
在
上单调递增.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/913dc4200e7ec4f137c4e59294d7e1e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac87434324956e4145e38ad92a1aa95.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)用定义证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2628e2dd7a988cc80530e739c22b2280.png)
您最近一年使用:0次
解题方法
7 . 已知
是定义域为
的奇函数,且
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adf7ee48f89034c50f17253321722d3a.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/0a854227d789fa69c4f13371affb4ccb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d45af87a3c97cf74f6bd13977827315d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adf7ee48f89034c50f17253321722d3a.png)
您最近一年使用:0次
名校
8 . 设
,
,
,则
,
,
的大小关系为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7a56ba243e47d7462356471a77eb2a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4e08b5af66e6e93886a7472cf8b7a6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad8fb7f54ac81e2617c3d12bc6607581.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-03-12更新
|
357次组卷
|
2卷引用:广东省深圳市高级中学2023-2024学年高一上学期期末数学试题
解题方法
9 . 已知函数
(
且
),且
.
(1)求
的解析式:
(2)若函数
在
上的最小值为0,求m的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80b043fcf34272297ad32d0efc7e083b.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/ba8a114af9a47b5323510da90975657a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2489e2edbc3683fceb728ce9292b1ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe86cace140f2c3588ab115837bbfc9e.png)
您最近一年使用:0次
解题方法
10 . 已知函数
,则下列正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fe1bcc2edb697c5ec3d1011269710c7.png)
A.函数![]() ![]() | B.存在![]() ![]() |
C.函数![]() ![]() | D.方程![]() |
您最近一年使用:0次