名校
1 . 若函数
是
上的偶函数,
是
上的奇函数,且满足
.
(1)求
,
的解析式;
(2)令
,证明函数
有且只有
个零点.
![](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/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74ea1f7cd5fd2d33bc2ff7e1866bfb1c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7863b54185da5a3f1a765e1aa0577e76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
您最近一年使用:0次
7日内更新
|
221次组卷
|
5卷引用:福建省八县(市)一中2020-2021学年高二下学期期末联考数学试题
福建省八县(市)一中2020-2021学年高二下学期期末联考数学试题重庆市清华中学2022届高三上学期7月月考数学试题福建省永泰县第一中学2020-2021学年高二下学期期末数学试题(已下线)专题07函数期末8种常考题型归类【好题汇编】-备战2023-2024学年高二数学下学期期末真题分类汇编(人教B版2019)(已下线)专题09 导数与零点、不等式综合常考题型归类--高二期末考点大串讲(人教B版2019选择性必修第三册)
解题方法
2 . 对数函数
与一次函数
的图象有
两个公共点,求一次函数的解析式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03f0fadbe551b0e0eb7bf9440be740b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
您最近一年使用:0次
2023-01-05更新
|
116次组卷
|
5卷引用:人教A版(2019) 必修第一册 新高考名师导学 第四章 4.4 对数函数
名校
3 . 已知定义在
上的偶函数
和奇函数
满足
.
(1)求函数
和
的解析式:
(2)若函数
|的最小值为
,求实数m的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/933093b52cca887f597cbe22a5467b11.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/563d34c1f9b294a226c6a007d85bd1ef.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2426eea2cffd6d6197546ab9b7bb73ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a94acdfb41489d5694b5a64b9e99754.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,且对任意
,
,均有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8af3f06d74af7ac8e53392bcc24d5c47.png)
(1)求
的解析式;
(2)若对任意
,均有
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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f370a1d4dd341e5ab1774a66c66c1204.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8af3f06d74af7ac8e53392bcc24d5c47.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4055f443d1c7bf587a8a527316faa7c.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
5 . 已知
为奇函数,
为偶函数.
(1)求
的解析式;
(2)若函数
在区间
上的最小值为1,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2a55de4d4d9bd89e80366c8f747842c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10998f0c54b8e4b9923878f98f15e960.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/032e3d25c9f38a3cf745fed1ce3297be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2022-01-12更新
|
344次组卷
|
2卷引用:甘肃省靖远县2021-2022学年高一上学期第二次联考数学试题
6 . 已知二次函数
满足
,且
.
(1)求
的解析式;
(2)当
时,不等式
恒成立,求实数
的取值范围;
(3)设
,
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c292ad5ab432ba87d945d952ae84d2b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51eb2613dda00677d447c986cac505bc.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/480f47d825054761a00f32b4878bdb94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2a7a07624cc738da030ed9f2ca79e43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02468dce9deb4501e7454f442c084c05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f9503757740a0e7254e3fbdd2d8e5ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a82a1224e47f31ecdfffd328d5a3ab6d.png)
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2022-01-10更新
|
879次组卷
|
3卷引用:福建省莆田砺志学校2021-2022学年高一上学期线上教学学情摸底考试数学试题
名校
解题方法
7 . 已知函数
的定义域为R,满足
,当
时,
,若对
,有
,则m的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8641f140107ede6ecd68f176828cf504.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcac1e85463a3177f487d896b3d1d24c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff2b53cd9892f6d174509740afbc69d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b989d38b656381f6a30b4360743516df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63181f6f8fb4904131e9f213f42960a7.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 ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3471484b64504fc545398f52be830010.png)
(1)求
的解析式;
(2)
,若存在
,使得
,有
成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7edac77829e7aec29f8980f577959098.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a6be06c23c58b16ff4c60c9643e904a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3471484b64504fc545398f52be830010.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c09f0d7757d5e899df0a268eab3b0c36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c10b997c1b71f6be1a25bcb879d781dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8d2bc6663b48b3346303be4167a7531.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2021-11-27更新
|
1618次组卷
|
7卷引用:福建省厦门第一中学2021-2022学年高一10月数学限时训练(数竞一试)试题
福建省厦门第一中学2021-2022学年高一10月数学限时训练(数竞一试)试题福建省泉州现代中学2021-2022学年高一上学期期中考试数学试题(已下线)专题05 函数的概念与性质常考基础题型-2021-2022学年高一《新题速递·数学》(人教A版2019)吉林省延边州2021-2022学年高一上学期期末考试数学试题(已下线)3.2.1 单调性与最大(小)值——单调性(第1课时)(分层作业)-【上好课】广东省肇庆市第一中学2023-2024学年高一上学期学科能力竞赛数学试题(已下线)第五章 函数的概念、性质及应用(压轴题专练)-单元速记·巧练(沪教版2020必修第一册)
名校
解题方法
9 . 已知函数
为R上的一次函数,满足
,且
,又函数
满足
.
(1)求
的解析式;
(2)若
对所有的
,以及所有的
恒成立,求实数m的取值范围;
(3)
,对任意
,
,恒有
,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ab07274c29d1ca57661b3b2b9060f49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/717a1efcded39ade5c5e98eeb21013e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5119ff6d21b81e0dc8b4e12f5efcc103.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02d27c15224a9da71896c890d381fbce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec25b9d7ca47b780a744c2ebbf31d925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd8dd09c107101a902fd316d99503eb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0db7eb2d7545d055f1cb6e8a7b5e1dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcac8ec43a296e3152b1d4c938894c4e.png)
您最近一年使用:0次
10 . 已知二次函数
满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b52265a268ea0d46a816309b91bd3d0.png)
(1)求函数
的解析式;
(2)若
,
,求
①
的最小值
,
②讨论关于
的方程
的解的个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b52265a268ea0d46a816309b91bd3d0.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba1731a895a35ceff24d3776f6cba464.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0eac2b31a19918895e5af2d316490e7.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c258f572aea4856fd947cd8ee40acd41.png)
②讨论关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53c2c041a4c8039970e7af1fed9d525f.png)
您最近一年使用:0次