解题方法
1 . 已知函数
.若
,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/483796c965fccef2b613fa1b293d2d97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb9a102ee64dedb8c8f66dd862bf4443.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
2 . 已知
,
,
,则下列结论一定成立的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de07daa4c7c7cfcf5241726fa788e6ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/832444aae81de7f780b5e496315cc82e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d625d77f3bfadc66947098bc41233d2.png)
A.若![]() ![]() |
B.若![]() ![]() |
C.若![]() ![]() |
D.若![]() ![]() |
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解题方法
3 . 已知
是奇函数,
是偶函数.
(1)求
的值;
(2)若不等式
恒成立,求
时实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/092e40a1ec1a58a6ef28557db5ba8056.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2fa78af600f792da4ed72e862683cc4.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e25d1cfbdeeb6ad949cc2970a1299e07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac4cbc7b067862a3d9c6789b392fc068.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
解题方法
4 . 已知函数
为偶函数,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4d358d2773c5f06e5666e2b027d13b6.png)
(1)求实数k的值;
(2)若
,
,使得
恒成立,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f417ad4d20e6babec667613d5ec7db38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4d358d2773c5f06e5666e2b027d13b6.png)
(1)求实数k的值;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd86bd5c9b9153e589de2c95e9f02b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e6d1ab7e8a09f5d8ee9586dc760a876.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f690eb60c4bdd0cb1dce165ccff2452.png)
您最近一年使用:0次
2024-02-05更新
|
322次组卷
|
2卷引用:湖北省武汉市5G联合体2022-2023学年高一上学期期末考试数学试卷
名校
解题方法
5 . 已知函数
为定义在
上的奇函数.
(1)求实数
的值;
(2)(i)证明:
为单调递增函数;
(ii)
,若不等式
恒成立,求非零实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd492d001a460384ca5c5ad7211561f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)(i)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(ii)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e81b4aac721bcd4a49593b48a28a8f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d75ab6ff78fda13e8f5d11d7a3d8bd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2024-02-04更新
|
553次组卷
|
3卷引用:广东省深圳市南山区2023-2024学年高一上学期期末质量监测数学试题
名校
6 . 已知函数
.
(1)证明函数
的图象过定点;
(2)设
,且
,讨论函数
在
上的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84117b58944d6788691c2b24c070bb47.png)
(1)证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcd9218a657b17654c5d757a6f7dee9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71badab736269c6567a3977823e2f9b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3387f999c9cba4a1a083959709371447.png)
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2024-02-03更新
|
388次组卷
|
4卷引用:重庆市2023-2024学年高一上学期期末联合检测数学试卷
重庆市2023-2024学年高一上学期期末联合检测数学试卷重庆市2023-2024学年高一上学期期末数学试题福建省厦门市第一中学2023-2024学年高一上学期期末模拟数学试题(已下线)4.4.2对数函数的图象与性质(第3课时)
解题方法
7 . 已知
,则a,b,c的大小关系为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b089e266da45ed9d9d0cb435b09a66ae.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
8 . 定义:
表示
的解集中整数的个数.若
,
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/095060d45924977127b6438d9490ad6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44e312eca38032174f9739126b81d012.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/713e9efa35bd9d54d20fd8b63b186108.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b40588d568a5823159fcc9819bdc568.png)
A.当![]() ![]() |
B.当![]() ![]() ![]() |
C.当![]() ![]() |
D.当![]() ![]() ![]() ![]() |
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9 . 已知
为
上的偶函数,
为
上的奇函数,且
.
(1)求函数
和
的解析式;
(2)若不等式
在
恒成立,求实数
的取值范围;
(3)若
,使
成立,求实数
的取值范围.
![](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/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/007a63fd8e3f06e2bd1f47f32c3b8ec8.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17544e869092dee053caf76d91438fc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b517f7683334da7296e5920744b63da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c212fadbfee387b01b76665790112721.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
10 . 已知函数
在定义域
上为减函数,且值域为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba41823363bab270afbc1e8e8563e1a9.png)
(1)证明:
;
(2)求实数m的取值范围;
(3)求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c59814d6dd6546de5b0fffae72d753b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba41823363bab270afbc1e8e8563e1a9.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6803e06223269e79138ac240d2d2f57f.png)
(2)求实数m的取值范围;
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baa3f501acd28ca84f56a550a25b911a.png)
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