1 . 已知函数
在区间[2,3]上有最大值4,最小值1.函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d84f1b450c7b6a33036a323d97a1e354.png)
(1)求函数g(x)的解析式;
(2)若存在
使得不等式f(lnx)-klnx≤0成立,求实数k的取值范围;
(3)若函数
有三个零点,求实数k的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7de8b0a5c3007bfe73dfa36be264f074.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d84f1b450c7b6a33036a323d97a1e354.png)
(1)求函数g(x)的解析式;
(2)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd6957c74475ce7b08482971e37c242a.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfd919fbd59680a392c78af922b68014.png)
您最近一年使用:0次
2 . 已知函数
.
(1)根据a的不同取值,判断函数
的奇偶性(只写结论,不需证明);
(2)设函数
,当
时,对于
,总有
成立,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26ac7df0685ba0947428ad4b7f99622a.png)
(1)根据a的不同取值,判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f22382e94f33493220314c2a5ace3b17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50ccb51adec8cde167e2198ada879e56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/feb184f810b48f7dcda528c76acf33ab.png)
您最近一年使用:0次
名校
解题方法
3 . 定义两类新函数:
①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
,使得
成立,则称该函数为“
函数”;
②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
,使得
成立,则称该函数为“
函数”.
(1)设函数
的定义域为
,已知
是某一类新函数,试判断
是“
函数”还是“
函数”(不需说明理由),并求此时
的范围;
(2)已知函数
在定义域
上为“
函数”,若存在实数
,使得对任意的
,不等式
都成立,求实数
的取值范围.
①若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.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/c411a8fd18c8de5c7de91ead2534602b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a83c952b58c39be1b0d43d304e0911.png)
②若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.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/c3c98c995fc2687a803998d262d754e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acdf896f6685774c416482a887484fc0.png)
(1)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0da9ea25accbf7eeb60424224b68c092.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db527571cfd256c515424c6f9d114284.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a83c952b58c39be1b0d43d304e0911.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acdf896f6685774c416482a887484fc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73c918ca5d4e6d46ed130f85e5fa608d.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a53275eb34d75ead1b48d1d78123d536.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56002ab09438fcb642fde70b10ee9720.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acdf896f6685774c416482a887484fc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f06f45220c23094a3d9ef53b54b89d24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c51159984b2cb00f30b3986315019623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94526b73a995b128c50c2487e192f057.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
您最近一年使用:0次
2020-08-07更新
|
594次组卷
|
2卷引用:安徽省合肥市第六中学2019-2020学年高一下学期学情检测数学试题
4 . 已知二次函数
满足下列3个条件:
①
的图象过坐标原点;②对于任意
都有
;③对于任意
都有
.
(1)求函数
的解析式;
(2)令
.(其中m为参数)
①求函数
的单调区间;
②设
,函数
在区间
上既有最大值又有最小值,请写出实数p,q的取值范围.(用m表示出p,q范围即可,不需要过程)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/331d5e308cd5469e0f28a8d75f79903f.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00cbf67f0605a8d1f4499b156785001f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b129a86f37fbbdf5a5808f13924e819f.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5b45f20b8f07836bb5d9941ae862233.png)
①求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
②设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e34f42b3be15518c29e3689c9fe6d6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36e257b2b02bcd57c116841807979bbc.png)
您最近一年使用:0次
2020-01-04更新
|
393次组卷
|
3卷引用:【市级联考】江苏省扬州市2018—2019学年高一第一学期期末检测试题数学
名校
5 . 已知函数
在区间
上是单调函数.
(1)求实数
的所有取值组成的集合
;
(2)试写出
在区间
上的最大值
;
(3)设
,令
,若对任意
,总有
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7dfe62bb9beac0720d3c6fa3155207a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa66623cf54b42d6d12be4c8edaa7071.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)试写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa66623cf54b42d6d12be4c8edaa7071.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1987ecbd076d89da5ef1e2561d79d857.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea8fcf119beecdeda292c6db685ca16c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25e540d5da966481bd552eb01187bc12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/930995172d12e12d8173aec823f1982b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd5eb1e81ec6f44e4cb59ce214b949a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2019-11-19更新
|
581次组卷
|
2卷引用:浙江省浙东北联盟(ZDB)2019-2020学年高一上学期期中数学试题
6 . 对于两条平行直线
、
(
在
下方)和图象
有如下操作:将图象
在直线
下方的部分沿直线
翻折,其余部分保持不变,得到图象
;将图象
在直线
上方的部分沿直线
翻折,其余部分保持不变,得到图象
:再将图
在直线下方的部分沿直线
翻折,其余部分保持不变,得到图象
;再将图象
在直线
上方的部分沿直线
翻折,其余部分保持不变,得到图象
;以此类推…;直到图象
上所有点均在
、
之间(含
、
上)操作停止,此时称图象
为图象
关于直线
、
的“衍生图形”,线段
关于直线
、
的“衍生图形”为折线段
.
(1)直线型
平面直角坐标系中,设直线
,直线![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c7712260b9136c187e571f2e52b07ff.png)
①令图象
为
的函数图象,则图象
的解析式为
②令图像
为
的函数图象,请你画出
和
的图象
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/13/8bf8f6d6-91ee-4f7e-acda-5423f6753233.png?resizew=380)
③若函数
的图象与图象
有且仅有一个交点,且交点在
轴的左侧,那么
的取值范围是_______.
④请你观察图象
并描述其单调性,直接写出结果_______.
⑤请你观察图象
并判断其奇偶性,直接写出结果_______.
⑥图象
所对应函数的零点为_______.
⑦任取图象
中横坐标
的点,那么在这个变化范围中所能取到的最高点的坐标为(_______,_______),最低点坐标为(_______,_______).
⑧若直线
与图象
有2个不同的交点,则
的取值范围是_______.
⑨根据函数图象,请你写出图象
的解析式_______.
(2)曲线型
若图象
为函数
的图象,
平面直角坐标系中,设直线
,直线
,
则我们可以很容易得到
所对应的解析式为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/13/70a2b9bc-043f-460f-bbc7-52b4eb8ed5f5.png?resizew=367)
①请画出
的图象,记
所对应的函数解析式为
.
②函数
的单调增区间为_______,单调减区间为_______.
③当
时候,函数
的最大值为_______,最小值为_______.
④若方程
有四个不同的实数根,则
的取值范围为_______.
(3)封闭图形型
平面直角坐标系中,设直线
,直线![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25081197c462bd7f03cc67c35c85593d.png)
设图象
为四边形
,其顶点坐标分别为
,
,
,
,四边形
关于直线
、
的“衍生图形”为
.
①
的周长为_______.
②若直线
平分
的周长,则
_______.
③将
沿右上方
方向平移
个单位,则平移过程中
所扫过的面积为_______.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/011ae6cb0cf49f6d3d19b485dc1cfc22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/011ae6cb0cf49f6d3d19b485dc1cfc22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86fda993d38532293724009685288b72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86fda993d38532293724009685288b72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a12119eba9da5c32568de5832ff04c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a12119eba9da5c32568de5832ff04c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16365b04bc8aa6787782e0aef019342d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47341a477c35b3044c5519ea8404494d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47341a477c35b3044c5519ea8404494d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfc6caaae3d88eaf009ae496d2788134.png)
(1)直线型
平面直角坐标系中,设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65ba5c616b58eb33dbd5a2690f003f8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c7712260b9136c187e571f2e52b07ff.png)
①令图象
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29e44284cb19805a584880a686ac3df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/011ae6cb0cf49f6d3d19b485dc1cfc22.png)
②令图像
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29e44284cb19805a584880a686ac3df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/011ae6cb0cf49f6d3d19b485dc1cfc22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86fda993d38532293724009685288b72.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/13/8bf8f6d6-91ee-4f7e-acda-5423f6753233.png?resizew=380)
③若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a76ba1c1cef5f0e6efdca5e436122412.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/011ae6cb0cf49f6d3d19b485dc1cfc22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
④请你观察图象
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86fda993d38532293724009685288b72.png)
⑤请你观察图象
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86fda993d38532293724009685288b72.png)
⑥图象
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86fda993d38532293724009685288b72.png)
⑦任取图象
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86fda993d38532293724009685288b72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56628de19272fbf3803dfa8d617ba779.png)
⑧若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50683751e9dcd7b55555b53785f61a0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86fda993d38532293724009685288b72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
⑨根据函数图象,请你写出图象
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86fda993d38532293724009685288b72.png)
(2)曲线型
若图象
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02c962d7485825381801f1ebf56a37ec.png)
平面直角坐标系中,设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65ba5c616b58eb33dbd5a2690f003f8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c7712260b9136c187e571f2e52b07ff.png)
则我们可以很容易得到
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/011ae6cb0cf49f6d3d19b485dc1cfc22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cffe34fde5a4f8ed96b1394acad8b4c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/13/70a2b9bc-043f-460f-bbc7-52b4eb8ed5f5.png?resizew=367)
①请画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/011ae6cb0cf49f6d3d19b485dc1cfc22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/011ae6cb0cf49f6d3d19b485dc1cfc22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bffc9c4bf9de4d804885955aff039ca.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bffc9c4bf9de4d804885955aff039ca.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8160ade472b89421f8009fd0cd3926a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bffc9c4bf9de4d804885955aff039ca.png)
④若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a99d3ec153c1dd00d0185bc14b4f56b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(3)封闭图形型
平面直角坐标系中,设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/239ea6e5fa7672c43a45ebb4c3757370.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25081197c462bd7f03cc67c35c85593d.png)
设图象
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b978a095d4bac4da3a807575d9b35e8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19b62194097ac66a5093c57fca2f5b4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/847fea08d7cb36942bd5028b2cb7707e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fae4febd9d6318cb2cfd23ac9dd2922e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c2c5dbea60dd70fbbeb390c094859cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b978a095d4bac4da3a807575d9b35e8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9fce9427c9b17e4d3cda0c3ff3e2e14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f2813ee8f26cca880b6427f5f545d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47341a477c35b3044c5519ea8404494d.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47341a477c35b3044c5519ea8404494d.png)
②若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a806c58799f9bac6c601aee7aad5bb8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47341a477c35b3044c5519ea8404494d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
③将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47341a477c35b3044c5519ea8404494d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47341a477c35b3044c5519ea8404494d.png)
您最近一年使用:0次
名校
7 . 设函数
(其中
为常数).
(1)根据实数
的不同取值,讨论函数
奇偶性;
(2)若
,且
在区间
上单调递减,求实数
的取值范围;
(3)若关于
的不等式
在
时恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef79a4c2851a7e5e24018fd076406da8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(1)根据实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a55fc27d9554bc93298f29373f4e9e13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c13e38a5ee18ecf4af2d9a8443b4a7bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a749285bc6d24bc6e3c27157ef20a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/966b60302d80d8613675bb3dd5c03164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
8 . 已知函数
定义在
上的奇函数,
的最大值为
.
(1)求函数
的解析式;
(2)关于
的方程
在
上有解,求实数
的取值范围;
(3)若存在
,不等式
成立,请同学们探究实数
的所有可能取值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c21aa14b124ce6e9f60e6e65118cf517.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/417ab20883d799aaf311371393fa7d7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/720c6191cbe3ae72c1b0b358468e51f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57e254a7d08060fb2655d5b07df06e7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53224898de85a85058ad336490bbbaa7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb59e11145f86dd8a9f5f7973989d8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
名校
9 . 若函数
在定义域内存在实数
,满足
,则称
为“局部奇函数”.
(1)当定义域为
,试判断
是否为“局部奇函数”;
(2)若
为定义域
上的“局部奇函数”,求实数
的范围;
(3)已知
,对于任意的
,函数
都是定义域为
上的“局部奇函数”,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e97b86cec9547b8bfef23efb08b9990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
(1)当定义域为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e59103d4860ccfce81d2182d66bb8d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f26b1853a6b99835b451ab6eaf187748.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcc2ddf858a088a1909b1694a1061d31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7da3a6d011679952771607b3a166676b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/751afe327bd2cd6e0d2336556ee5aded.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95987ed50c100919c3df4f1fe68aa2e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53300f4eb2bcd3b496ad1e9a97e9cb91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e59103d4860ccfce81d2182d66bb8d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2017-05-21更新
|
1013次组卷
|
2卷引用:江苏省无锡市天一中学2018-2019学年高一上学期期中数学试题
10 . 对于在区间
上有意义的两个函数
与
,如果对任意的
,均有
,则称
与
在
上是接近的,否则称
与
在
上是非接近的.现在有两个函数
与
,现给定区间
.
(1)若
,判断
与
是否在给定区间上接近;
(2)若
与
在给定区间
上都有意义,求
的取值的集合
;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45bcd8f6ede8cc2513ad41402f40086.png)
(3)在(2)的条件下,是否存在
,使得
与
在给定区间
上是接近的;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/f030c36bb8786df88d401792062a4100.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/e5aff60e0e18dec5ddfa15bd1d91958e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc0597404b9110a0e25b644c9e51aabe.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/f030c36bb8786df88d401792062a4100.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/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d220d623c5e1f0be00b173ba524dfba1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9a9ca12b588bb208de5e7da200c7272.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3d9b91bab8bc82f119216cc743c8dbb.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3129ddd2ea97fd010b9e0b644225da8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
(2)若
![](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/d3d9b91bab8bc82f119216cc743c8dbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45bcd8f6ede8cc2513ad41402f40086.png)
(3)在(2)的条件下,是否存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82f1ecfcbe90dca8dc8f3aa7ebaccfb6.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/d3d9b91bab8bc82f119216cc743c8dbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次