名校
1 . 若区间
满足:①函数
在
上有定义且单调;②函数
在
上的值域也为
,则称区间
为函数
的共鸣区间.请完成:(1)写出函数
的一个共鸣区间________ ;(2)若函数
存在共鸣区间,则实数
的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3daad3a31a3597f75fa109736ed2ebf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/619473f7c43f604133c3e6d19b34fc62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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解题方法
2 . 对于区间
,若函数
同时满足:①
在
上是单调函数;②函数
的值域是
,则称区间
为函数
的“保值”区间.若函数
存在“保值”区间,则实数
的取值范围为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5e23b42cdffe75e705cf0b24763e862.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/062f2074ff3e5e5e72e20f4d066f0e9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/355bda652a56449c62232febee1c8f36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
3 . 若函数
在区间
上是严格减函数,则实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9a53297bf5b50c5484fd99279d6b043.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb87c830a03204a5b783ad4c2ba49c4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
2023-01-04更新
|
903次组卷
|
6卷引用:浙江省衢温“5+1”联盟2021-2022学年高一下学期期中联考数学试题
浙江省衢温“5+1”联盟2021-2022学年高一下学期期中联考数学试题(已下线)专题19 函数的基本性质 (2)上海市金山中学2022-2023学年高一上学期期末数学试题河南省信阳高级中学2022-2023学年高一上学期11月月考数学试题湖南省衡阳市第八中学2024届高三上学期开学暑期检测数学试题(已下线)期末真题必刷常考60题(22个考点专练)-【满分全攻略】(沪教版2020必修第一册)
解题方法
4 . 一般地,若函数
的定义域为
,值域为
,则称
为
的“k倍跟随区间”;特别地,若函数
的定义域为
,值域也为
,则称
为
的“跟随区间”.下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f62e0a7ec931569bcc9c911f2c249d56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
A.若![]() ![]() |
B.函数![]() |
C.若函数![]() ![]() |
D.二次函数![]() |
您最近一年使用:0次
2022-11-18更新
|
511次组卷
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4卷引用:福建省福州市八县(市)协作校2022-2023学年高一上学期期中考试数学试题
福建省福州市八县(市)协作校2022-2023学年高一上学期期中考试数学试题福建省福州市平潭县新世纪学校2023-2024学年高一上学期期中数学试题(已下线)模块四 专题3 题型突破篇 小题满分挑战练(1)期末终极研习室(2023-2024学年第一学期)高一人教A版(已下线)模块三 专题2 题型突破篇 小题进阶提升练(2)期末终极研习室(2023-2024学年第一学期)高三
名校
5 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5304fedf36fc632d02303cd6602c0ec.png)
(1)若
的值;
(2)设
,若对任意
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5304fedf36fc632d02303cd6602c0ec.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a78d18e642bf861311eeda3c47e21ff6.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edc836f9ac866af08d631415a263a97a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be5b4ecf1cc90c6b71a435e4cf17754c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4887473a8091e1ef53a169cc9f211e3a.png)
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2022-11-16更新
|
431次组卷
|
2卷引用:江苏省镇江市扬中高级中学2022-2023学年高一上学期期中校际联考数学试题
名校
6 . 已知函数
,
.
(1)若函数
在
上单调,求实数a的取值范围;
(2)用
表示m,n中的最小值,设函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10fe874194ea26a8c689ede12e869fe6.png)
,试讨论函数
的图象与函数
的图象的交点个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b31cb44c362f94762c0f6a6836ec8cf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c818b24a8672bed9744652cea9e4e674.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
(2)用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a85c34922a744db6288c376087ffb423.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10fe874194ea26a8c689ede12e869fe6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aebf62d230cbee1781de6c1d73a7ff6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2a7df955fc17e92fd86302f8c34664a.png)
您最近一年使用:0次
2022-11-15更新
|
474次组卷
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2卷引用:湖北省宜昌市夷陵中学2022-2023学年高一上学期期中数学试题
7 . 函数
,
,
最大值为
,则
的最小值是__________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2efa097fedb7eeffc7466afe6404b53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/403faf9baafd7721fec8362c8b8817d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df6bc6bf086ae0da5fbbde88c93d0dee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a239d924a26dbc7f33052c63a20a327a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a239d924a26dbc7f33052c63a20a327a.png)
您最近一年使用:0次
8 . 已知函数
,存在
满足
,且对任意
恒有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3abba38c8677fc7664d819a070e4e5c.png)
(1)求
的值;
(2)若不等式
在
上恒成立,求实数
的取值范围;
(3)若方程
有三个不相等的实数根,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47e0d7c98265da631721eaccba2df789.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3cd599b52e6d15f16ec43cfd0bcc5d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c36825543013336c9df727bc51ff62c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29aef458f2367b76432719f6f56275d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3abba38c8677fc7664d819a070e4e5c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92efd16b74839212e04ac3d1a0943f58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8182356e4323a4dfe5ceb83caf347cd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c6b46ef047a9e8eea1fe61d2bc0bc4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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解题方法
9 . 已知实数
,且函数
,
,
,
,
,当
时,
的最小值记为
.
(1)若
,求函数
的单调递减区间;
(2)
,
,
,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a380067a20c25338eb0312e8df6c2760.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7051b8cbec548d942b62fd290db4460.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/383330e8699c6ce53da6c5aaa70097d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/442a82cb501aeda22a086a2fe7ef7cae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96e9ac469995de3fcccf9300fbe8c68b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5edb160b3d56fdc5cb2123cbcac44c5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01b3ae7e5228fd1acb0d46f6941143a7.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbe7341e9d43f8456a913620d9938205.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6dd3fa42436802a270cd2ff46ba51d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be555d216bf07f824f3164f05e1cb72.png)
您最近一年使用:0次
2022-11-11更新
|
704次组卷
|
3卷引用:福建省龙岩市一级校联盟(九校)联考2022-2023学年高一上学期期中考数学试题
名校
解题方法
10 . 已知函数
,
.
(1)若
的最小值是
,求
的值.
(2)是否存在
,使得当
的定义域为
时,
的值域为
?若存在,求
的取值范围;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eab46fffc671389979fd2b7e703b95b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aff8d9b6533ff319420cdc5e8740b04.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)是否存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc329b32ecf0f0532d09a8a21343e8cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/801f8202a34989353eaa10926c6b8c7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8308729725bec4bad03045e22df21da2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2022-11-10更新
|
907次组卷
|
3卷引用:安徽省卓越县中联盟2022-2023学年高一上学期期中数学试题