名校
解题方法
1 . 已知函数
,
分别为定义在
上的奇函数和偶函数,且满足
.
(1)求函数
,
的解析式;
(2)令函数
,
,求
的值域;
(3)若实数
,讨论关于x的方程
的根的个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.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/b41ae210dd892fc5428a51dd409aa69d.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(2)令函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7895577a1c332dfb94ba120c75a147b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90918b116ddc7dd7115ece5520dbd006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
(3)若实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c51159984b2cb00f30b3986315019623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f75943eb668c500fab4ec114fa44226b.png)
您最近一年使用:0次
名校
2 . 已知函数
(
,
)是奇函数.
(1)若
,对任意
有
恒成立,求实数
的取值范围;
(2)设
(
,
),若
,问是否存在实数
使函数
在
上的最大值为0?若存在,求出
的值;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fa28501b76696dd6e1ab8ad83b33d64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ad8c8165036178e5ca51d0a7c2b3a67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3993391fe16e7315c4d92af28c03fa2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/305c82799c4a08c2c6b1aac3aa5c9423.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7e2fc9cebff67c6d256cc75ce86dd60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/060e7930731eddbcfac592b808e9b698.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd0e5e3f3477931e7c15cf609b422410.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93e03ad0c315806342d6cd732a0b91a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6602b172fa321eacd584c338dee7bef8.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
3 . 已知函数
,
,且
在
上单调递增.
(1)若
恒成立,求
的值;
(2)在(1)的条件下,若当
时,总有
使得
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5ffc29095607e86d6cd2f55a79e7193.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57d91a4ab67a4edb4b62f4e36ea89035.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3aae9c8988f4a48db69cad3308942c9.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98d3196f675600803cdc74c72470d32f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
(2)在(1)的条件下,若当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb4361b7baf57ec27b60ac4aa637e16a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00fff2634ce3999c544b19d011924df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e63bbadc6250f7139836ede33205550.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2022-04-01更新
|
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3卷引用:河南省南阳市六校2021-2022学年高一下学期第一次联考数学试题
名校
4 . 已知
,若方程
有四个不同的实数根
,
,
,
,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38cf09c172661244bf42742c295f8939.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ad597ac16a5478e29bfa6760618fa45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/365b38a7689a8eede6820cd6f1fe952b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a3d41be26be9622d0cbc9825778b362.png)
A.(3,4) | B.(2,4) | C.[0,4) | D.[3,4) |
您最近一年使用:0次
2022-03-28更新
|
1784次组卷
|
8卷引用:内蒙古赤峰二中2021-2022学年高一上学期期末考试数学(文科)试题
内蒙古赤峰二中2021-2022学年高一上学期期末考试数学(文科)试题(已下线)江苏省南通市如皋市2021-2022学年高二下学期期中模拟数学试题江西省上饶市横峰中学2022-2023学年高二上学期开学考试数学试题广东省清远市四校2022-2023学年高一上学期联合学业质量检测数学试题云南省2022-2023学年高一上学期期末数学模拟试题云南省临沧市临翔区第一中学2022-2023学年高一下学期3月月考数学试题(已下线)第二章 函数的概念与性质 第四节 二次函数(B素养提升卷)云南省北京教能教育集团(昆明艺卓中学)2023-2024学年高二上学期12月月考数学试题
名校
5 . 若函数
对定义域内的每一个值
,在其定义域内都存在唯一的
,使
成立,则称该函数为“依赖函数”.
(1)判断函数
是否为“依赖函数”,并说明理由;
(2)若函数
在定义域
上为“依赖函数”,求
的取值范围;
(3)已知函数
在定义域
上为“依赖函数”,若存在实数:
,使得对任意的
,不等式
都成立,求实数
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09b29a7faa14a6e09d0db2d04f4ced03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92365662df7a3badcfaa2bcd0b54bffe.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c86ec4ffba69df637d15be893deb46e.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da5bf1fbb7d7339058beb960a4c6ae5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67417af99db3ea6103a47cc3ca888069.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1019d4ad2e3fb4a7abb66e0e9e55b556.png)
(3)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc23f8d012aeaf9ee20a2fe375ccc1c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851ba83b36dc51cbe6711b4dfaf1781e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69ef8712fdc2c58083c0d9844d8f5c89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c51159984b2cb00f30b3986315019623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eaaf57bdb80bd7cfe4abe1cf06a369c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5873c01192b7d33b7483f444f90b5b0.png)
您最近一年使用:0次
6 . 把
的图象向左平移
个单位,再把所得图象各点的横坐标缩短为原来的
倍,再把所得图象各点的纵坐标伸长为原来的2倍,得到函数
的图象,若
对
成立,则
①
的一个单调递增区间为
;
②
的图象向右平移
个单位得到的函数是一个偶函数,则
的最小值为
;
③
的对称中心为
;
④若关于x的方程
在区间
上有两个不相等的实根,则n的取值范围为
.其中,
判断正确的序号是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b9643da0c0fea4f099f9a9133d6076.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce6cc0e2b71c0bbc477f15420d2cfa2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3200e6aa922be0e0675d52c3d799750d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fec2b153baae853850533aee2b5d8b3b.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1f07948e9258b482a2164ac871f90f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d88591679796c52024d11c4de641bdb.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a779bc72e99260a531b88acdfbb39277.png)
④若关于x的方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32b12ff508a0b321c8c57468509e1963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6232413a655f772f53b7fabbc9c332b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a02c5c46e01d8419b7a810494b4ed6ca.png)
判断正确的序号是( )
A.①② | B.①③ | C.③④ | D.①③④ |
您最近一年使用:0次
2022-02-22更新
|
1279次组卷
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4卷引用:云南省昭通市2022届高三期末数学(文)试题
名校
7 . 已知函数
,
.
(1)若
在区间
上是单调函数,则
的取值范围;
(2)在(1)的条件下,是否存在实数
,使得函数
与函数
的图象在区间
上有唯一的交点,若存在,求出
的范围,若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adee7b210e41be78250a7ac3fad0e20d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dce2bfe6e1fde9265d2a07c42bbdf58.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c1756b564bf1d998d8179637011c88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)在(1)的条件下,是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c1756b564bf1d998d8179637011c88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2022-02-17更新
|
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4卷引用:广东省茂名市“五校联盟” 2021-2022学年高一上学期期末联考数学试题
名校
8 . 已知函数
,
.
(1)若
,求函数
的值域;
(2)已知
,且对任意的
,不等式
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcc626146b33bda478ba7e7d3c3668e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/914a49b0d7aedc593a3e87fbab7c31ca.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/225504e566da119bb27468d88b7443fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f747aab564a81ec77ae09bb63e4d47f5.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e26262436a3754ea59d889086d8a70bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07eb26809a0c1042f3db8b806598dd89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ba80124b944b67c0c4d6872c966cb1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2022-02-15更新
|
972次组卷
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4卷引用:福建省南平市2021-2022学年高一上学期期末质量检测数学试题
福建省南平市2021-2022学年高一上学期期末质量检测数学试题福建省厦门市2022-2023学年高一上学期期末教学质量检测练习数学试题福建省宁德市2022-2023学年高一上学期居家监测数学试题(已下线)期末测试卷01(基础卷)-【满分计划】2022-2023学年高一数学阶段性复习测试卷(苏教版2019必修第一册)
9 . 已知二次函数
.
(1)若
的两个零点的平方和为7,求实数a的值;
(2)若函数
在
上的最大值为1,求实数a的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdb42643f5273864e7a9349e22224a6a.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8e2f34ff4dde826ce300469631afc99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ed937c70e80009dc02053042d43718b.png)
您最近一年使用:0次
名校
解题方法
10 . 已知函数
.
(1)若关于x的不等式
的解集为
,求
的零点;
(2)若函数
在
的最大值是11,求实数a的值;
(3)定义:区间![](https://staticzujuan.xkw.com/quesimg/Upload/formula/351629c193354cdcf202133052e45028.png)
的长度为
.若在任意的长度为1的区间上,存在两点函数值之差的绝对值不小于1,求实数a的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/239047977d91eb9898ac1fc2c9163da9.png)
(1)若关于x的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01b6a1abada10a8da1b5e9f03fdaf60e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d65f5bc8b0b92bf2b7c8fbff4146bae2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1591d4244dcf5539a4ae98f554e91e61.png)
(3)定义:区间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/351629c193354cdcf202133052e45028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84b5f32c09caa0be0d4c33be07aa4530.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93c54705d32dc6820f1a90eec2225dcf.png)
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2022-02-10更新
|
561次组卷
|
2卷引用:江苏省淮安市2021-2022学年高一上学期期末数学试题