名校
解题方法
1 . 设函数
是增函数,对于任意x,
都有
.
(1)写一个满足条件的
并证明;
(2)证明
是奇函数;
(3)解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95cccdff49c3efe6e7a7dbbf69db9319.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab0c6f119137e1b6760d55956d99d963.png)
(1)写一个满足条件的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2af3785d1a6a95e3d6e12fba57ee3f8.png)
您最近一年使用:0次
2023-08-11更新
|
1165次组卷
|
3卷引用:黑龙江省牡丹江市第二高级中学2022-2023学年高一上学期期末数学试题
黑龙江省牡丹江市第二高级中学2022-2023学年高一上学期期末数学试题黑龙江省大庆市林甸县第一中学2022-2023学年高一下学期3月月考数学试题(已下线)3.2.2 奇偶性(8大题型)精讲-【题型分类归纳】(人教A版2019必修第一册)
2 . 已知函数
对一切实数
都有
成立,且
.
(1)求
的值和
的解析式;
(2)若关于
的方程
有三个不同的实数解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e64541d7f445079207b6f671adc7d662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f04fa8a352122a2c2667322bc7b3e41a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3471484b64504fc545398f52be830010.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e38fffbc7ab9882480f4faa72390e23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14072503df3e98d4802e41dcd189f74d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
名校
3 . 设定义在
上的函数
满足
,且对任意的
、
,都有
.
(1)求函数
的解析式;
(2)设函数
,求函数
的值域.
![](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/e17ee5f43412795671704ab0e8d0b2f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95cccdff49c3efe6e7a7dbbf69db9319.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c1f0f6f3aa606dca5774f944f29f988.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eba9095d7667a1789d34f6f8a8a5c0f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
您最近一年使用:0次
2023-02-16更新
|
899次组卷
|
5卷引用:湖南省湘潭市两校2022-2023学年高一上学期期末(线上)联考数学试题
湖南省湘潭市两校2022-2023学年高一上学期期末(线上)联考数学试题安徽省十校联盟2022-2023学年高一下学期开年考数学试题(已下线)第三章 函数的概念与性质(单元重点综合测试)-速记·巧练(人教A版2019必修第一册)1号卷·A10联盟2022-2023学年(2022级)高一下学期开年考数学(北师大版)试题1号卷·A10联盟2022-2023学年(2022级)高一下学期开年考数学(人教A版)试题
名校
4 . 已知函数
对一切实数
,都有
成立,且
,函数
.
(1)求
的解析式;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61e98eb2cb9bd16e97c79fdc9d3fcc6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8ae637ab2db7442c4fafb163c992e38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2339e4d7d8f8bf1016c0a1bb853c3eb0.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b08eb4401a08e9581fdf14a0c7fe2a4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2022-12-07更新
|
419次组卷
|
2卷引用:云南省昆明市东川明月中学(原东川区高级中学)2022-2023学年高一上学期期末考试数学试题
名校
5 . 已知函数
对一切实数
都有
成立,且
.
(1)求
的值和
的解析式;
(2)将函数
的图象向左平移一个单位得到函
的图象,若
,且
,求
的取值范围;
(3)若
,关于
的方程
有三个不同的实数解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e43bd363a819f262f6932c06f9c55d14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36976e38d87c60db8aedd7e46ac7415b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/196be101149acfb6a6c4ceca7fc96828.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f54b6a060d6c51a328341df76013bd89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)将函数
![](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/15a0a547c81fe36ab8c3ea79622ce7ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f188a2744cf6067759dd8a35fbfd4aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9817a48b819ab971e79bad7b20250294.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3109a3db9931922fda8851ab5875b915.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a3ff8b61540e3bd785d418f1a07befe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2022-12-02更新
|
584次组卷
|
3卷引用:上海市上海中学2020-2021学年高一上学期期末数学试题
解题方法
6 . 设函数
是增函数,对于任意
都有
.
(1)写一个满足条件的
;
(2)证明
是奇函数;
(3)解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e64541d7f445079207b6f671adc7d662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd384d86840b7b158af41f56fe29c7d1.png)
(1)写一个满足条件的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72ee0fc0bfc911efdcc0c9afb5587dc4.png)
您最近一年使用:0次
名校
解题方法
7 . 在非零实数集上的函数
对任意非零实数
,
都满足
.
(1)求
的值,并求
得解析式;
(2)设函数
,求
在区间
上的最大值
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5336bcd92df9f10bb0afcd0c4267bb0c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74156327e5659301f391814605688899.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc1b9ff5619ecf65c4eeca63c87d6041.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93e03ad0c315806342d6cd732a0b91a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c4880566facddcbb9da12ce478459ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83304dfa00396604c3fc616cf814d33e.png)
您最近一年使用:0次
名校
8 . 已知函数
对一切实数
,都有
成立,且
,
.
(1)求
的值;
(2)求
的解析式;
(3)若关于x的方程
有三个不同的实数解,求实数k的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dcbca3478eae63853d2aab5332e2e56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d58dc7f34867efb468f6d3506b7602ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5275143b1335bf2ec2e575cc257f79fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3c988d875438535244ee2b092a779b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd2648d5b951809271006fd1db61062c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6181ea7339144345677568a7fd485f84.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)若关于x的方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4134547cfa372bb11da533ea1b9a0b51.png)
您最近一年使用:0次
2021-01-02更新
|
2618次组卷
|
5卷引用:山东省淄博市淄博第十一中学2022-2023学年高一上学期期末数学试题
9 . 已知定义域为
的函数
满足
.
(1)若
,求
;又若
,求
.
(2)设有且仅有一个实数
,使得
,求函数
的解析式.
![](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/72ef64427f154e3fa27bf9a35c60231b.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89e7b359eb7cd04493fc030a87eccbf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74156327e5659301f391814605688899.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5602fee37c5fb9d0424871379ccc269.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff3bf2007903adc64d089a054c2284a7.png)
(2)设有且仅有一个实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73bc955d158efde0bdd62d14a60a65e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
2020-10-01更新
|
854次组卷
|
5卷引用:云南省大姚县第一中学2020-2021学年高一数学上学期期末测数学试题
名校
10 . 定义在非零实数集上的函数
对任意非零实数
,
都满足
.
(1)求
的值;
(2)求
的解析式;
(3)设函数
,求
在区间
上的最大值
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f24258d5e7592c4a86cffa5e0417085.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d55ef0d1b7ea88d92fd6e1ecebb5f5.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c532b5af7b88f1c21a7584cfac5fea6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5eef968a6f5e46c753bfb9f5bf837c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c258f572aea4856fd947cd8ee40acd41.png)
您最近一年使用:0次
2020-01-07更新
|
1059次组卷
|
6卷引用:广西南宁市2022-2023学年高一上学期期末数学模拟试题