名校
解题方法
1 . 已知函数
是奇函数.
(1)求实数
的值;
(2)判断并用定义法证明函数
的单调性:
(3)若
,且当
时,
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2126d80b0b812f7fc800a74156e08245.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)判断并用定义法证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0384a0466920e5bf00231a5c5bf77969.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85187c85826beeca12137805293fff77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-12-24更新
|
412次组卷
|
3卷引用:山东省青岛市青岛海尔学校2023-2024学年高一上学期12月阶段性考试数学试卷
山东省青岛市青岛海尔学校2023-2024学年高一上学期12月阶段性考试数学试卷(已下线)专题14指数函数-【倍速学习法】(人教A版2019必修第一册)陕西省汉中市普通高中联盟学校2023-2024学年高一上学期期末联考数学试题
2 . 已知幂函数
的图象过点
,设函数
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/24/cd4263a7-d085-4bf6-94e2-f246dc892b0d.png?resizew=183)
(1)求函数
的解析式、定义域,判断此函数的奇偶性;
(2)根据“定义”研究函数
的单调性,画出
的大致图象(简图),并求其值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05e5abce9e520b37572b68141940bbf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/687c95902f2c7a5cb9808ace73b7bbad.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/24/cd4263a7-d085-4bf6-94e2-f246dc892b0d.png?resizew=183)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)根据“定义”研究函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
您最近一年使用:0次
名校
解题方法
3 . 若定义在
上的函数
满足
,且
,则不等式
的解集为______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c6204b87a4ab0256cf9639978b78038.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51eb2613dda00677d447c986cac505bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41ca3101795b00948ebc5d416807bd16.png)
您最近一年使用:0次
2023-12-24更新
|
680次组卷
|
4卷引用:山东省菏泽市菏泽三中2024届高三上学期12月月考数学试题
山东省菏泽市菏泽三中2024届高三上学期12月月考数学试题(已下线)第五讲:化归与转化思想【练】高三清北学霸150分晋级必备(已下线)重难点2-3 原函数与导函数混合构造(10题型+满分技巧+限时检测)-1江苏省常州市武进高级中学2023-2024学年高二下学期3月学情调研数学试卷
名校
4 . 函数
是定义在
上的奇函数,且
.
(1)判断
在
上的单调性,并用定义证明;
(2)解关于t的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc455fddd4c3c194a28a05b84247d13d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b61bb7cb94b4d06f0090df1e365667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4ef022cb5ccd3757adda282dccca52b.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b61bb7cb94b4d06f0090df1e365667.png)
(2)解关于t的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d06da5f9311195b66c3e8d1ecb90df3f.png)
您最近一年使用:0次
名校
5 . 已知函数
,则满足
的a的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a5ad4a60af70068382e11b3032b168f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/855ed9c830dade4e25382048de4fd800.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-12-23更新
|
326次组卷
|
3卷引用:山东省跨地市多校2023-2024学年高一上学期模拟选课走班调考(12月)数学试题
解题方法
6 . 已知函数
是定义在
上的奇函数,且
.
(1)求a,b值;
(2)用定义证明:
在
上单调递减;
(3)解关于t的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/212cc812d22ec59949f7f9d553d1220d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b61bb7cb94b4d06f0090df1e365667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8814adea623063b3042db129841da313.png)
(1)求a,b值;
(2)用定义证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b61bb7cb94b4d06f0090df1e365667.png)
(3)解关于t的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d06da5f9311195b66c3e8d1ecb90df3f.png)
您最近一年使用:0次
2023-12-22更新
|
216次组卷
|
2卷引用:山东省临沂市2023-2024学年高一上学期期中考试数学试题
解题方法
7 . 对于函数
,记
,
,
,…,
,其中
.
(1)若函数
是一次函数,且
,求
的最小值;
(2)若
,且
,求
;
(3)设函数
(
),记
,
,若
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76c3ef724cecaca2c47141a7452bad48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e7d8675718e2188fe0b2ebbea447f37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0061853f2b6d34f5401049b4009abf97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d428eec05fdbc57cbfc2c39f5de2574.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28652e52c0b02a343e618935ea625cbf.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a4ae2013293d7a410d14a0aa4e64c93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5461941f8f9b27c21818a0b2f3f48f85.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89991c572d9435a44c7bcca18701cc1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6764f456b9b016bceaf5f833fa8848b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3ebe22137b9e480e634be2f7d229d45.png)
(3)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1bd0587f5d6a3b5db9e4a93e0dbc0ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e68eab1217d9aa39b712a1cbf8ade02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fea88e0629fac4da5f8cdb5eef697ac2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a347e53d69e6279105061e656d2f5bc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cf1e97de471ad174a6e9d4c41dafabc.png)
您最近一年使用:0次
解题方法
8 . 已知定义在
上的函数
,对任意
,有
,且
时,
.
(1)判断函数
的奇偶性并证明;
(2)判断函数
在
上的单调性并证明;
(3)若
,解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc30165c18de623d0a3efb961e606d1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cbf98e40f2f23810467a5c599ea62c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bd6e035a5577988a6fbb8d49e87156.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5efe66db991b562c73ffb16c1e585870.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b666663ce3537a634a3b427b418eb62.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc30165c18de623d0a3efb961e606d1c.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c81a0bb9174e7784a21e87cc0e07253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52f3053365669cc6fc499fbfd8459a5d.png)
您最近一年使用:0次
9 . 已知函数
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ffdcda4862c590961a9c6f2e871b111.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
A.是偶函数,且在![]() | B.是奇函数,且在![]() |
C.是偶函数,且在![]() | D.是奇函数,且在![]() |
您最近一年使用:0次
10 . 已知函数
在
上是偶函数,对任意
都有:
,
,
且
时,
,给出如下命题:①函数
在
上为增函数;②直线
是
图象的一条对称轴;③点
是
的对称中心;④函数
在
上有四个零点.其中所有正确命题的序号为___ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66e68fe28808a08af000c19643a2dc67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/338ff37bebb2000b079ff47b049cb20d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/698cf53f76a1d637dfe2732d0a866eec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/882c36d09632b85edc6ba2059052a741.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39cc033406da2cdd342308972c6701f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2ac55c5a8ad17e77e16e842af460186.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/babe9b9725844b213b5243e1c7d98216.png)
您最近一年使用:0次