名校
解题方法
1 . 已知函数
,
是定义在
上的函数,其中
是奇函数,
是偶函数,且
,若对于任意
,都有
,则实数
可能的值为( )
![](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/a43b2faa4f81f32d94612dce724e772b.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/c0dec2f7aa4eb98c9804ecc89057f73d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2adb2f27ddb3d3acf4eda4f1a5e47e9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e66a2a8a5fe171f42e1ab414f7d3cca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.0 | C.![]() | D.1 |
您最近一年使用:0次
解题方法
2 . 已知函数
,则下列说法正确的是( )![](https://img.xkw.com/dksih/QBM/2023/11/11/3365677126320128/3366301769678848/STEM/a163ca878fbb4b4b93fde9644df113c1.png?resizew=4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3057e7225daa2fd0488da2bd04b04f2.png)
![](https://img.xkw.com/dksih/QBM/2023/11/11/3365677126320128/3366301769678848/STEM/a163ca878fbb4b4b93fde9644df113c1.png?resizew=4)
A.当![]() ![]() ![]() |
B.函数![]() ![]() |
C.若![]() ![]() |
D.对![]() ![]() |
您最近一年使用:0次
名校
解题方法
3 . 已知函数
,
.
(1)若
,写出函数
在
上的单调区间,并求
在
内的最小值;
(2)设关于对
的不等式
的解集为
,且
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18672eb4df921b380f518b72a5912f1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcd9218a657b17654c5d757a6f7dee9a.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aed39f5aca78934fb383402433fe549.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d188ec2580e273ce87e51653a2177ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d188ec2580e273ce87e51653a2177ee.png)
(2)设关于对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e3b8f5edf3e30465035ea5b2eedee2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45242b802854eb7fc3ed681c4acdbf58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
4 . 已知函数
.
(1)当
时,求函数
在点
处的切线方程;
(2)若函数
在区间
上单调递增,求实数a的取值范围;
(3)讨论函数
的零点个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d1a7af736682fe8e230b383f930a609.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bea9227dd0104da58e0c40952cc87ed.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
(3)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
您最近一年使用:0次
2022-11-02更新
|
646次组卷
|
2卷引用:北京市大兴区2023届高三上学期期中检测数学试题
名校
解题方法
5 . 设
是定义在[m,n](
)上的函数,若存在
,使得
在区间
上是严格增函数,且在区间
上是严格减函数,则称
为“含峰函数”,
称为峰点,[m,n]称为含峰区间.
(1)试判断
是否为[0,6]上的“含峰函数”?若是,指出峰点;若不是,请说明理由;
(2)若
(
,a、b、
)是定义在[m,3]上峰点为2的“含峰函数”,且值域为[0,4],求a的取值范围;
(3)若
是[1,2]上的“含峰函数”,求t的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb7961cbe98aac6a5fdee94582c341b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed085cc685f0bf1b3df2ed16e04ccea5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0ce5a043dadae2543085520a3599446.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3597a8adb1fd3915939f396d462b3f49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
(1)试判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ab2fe78d4cfc053b67dc299929d7ca9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0097ca400d4619a94c4282c1ef6ec68e.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03de27ba4ffb3fdb7be2dd97fc67763b.png)
您最近一年使用:0次
2022-01-24更新
|
1011次组卷
|
2卷引用:江苏省常州高级中学2022-2023学年高一上学期期中数学试题
名校
6 . 已知函数
且
.
(1)判断函数
的奇偶性,并证明;
(2)若
,证明函数
在区间
上单调递减;
(3)是否存在实数
,使得
的定义域为
时,值域为
,若存在,求出实数
的取值范围;若不存在,则说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c85e60be9b6817c1401cbd33d361dbd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37fa1476cf3552b9ae91ef039b1c6c80.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d33da711e50e96568facb18cef27165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/466c3c575b0420a2d8a5843579059769.png)
(3)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/320cba4d29e050a7e9f4e3b24bdbbc86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1f5ce6cbcf094a780156547c4ce695b.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
7 . 已知f(x)为奇函数,当x∈[0,1]时,
当
,若关于x的不等式f(x+m)>f(x)恒成立,则实数m的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/268c1ed16c0542839cd4bbba2f7e6447.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/394fe27a779ce77197eab2e2269d7280.png)
A.(-1,0)∪(0,+∞) | B.![]() |
C.![]() | D. (2,+∞) |
您最近一年使用:0次
2020-05-06更新
|
1656次组卷
|
2卷引用:河北省石家庄二中2019-2020学年高二下学期期中模拟数学试题
名校
解题方法
8 . 已知二次函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4de930aa9ee8819f9a0c219133c78c8.png)
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/470cf789558978c3933c5d48b9d9e619.png)
(1)若
,且对
,函数
的值域为
,求
的表达式;
(2)在(1)的条件下,函数
在
上单调递减,求实数
的取值范围;
(3)设
,
,
且
为偶函数,证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4de930aa9ee8819f9a0c219133c78c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a69af0799ec8b715676ebb5bb47abce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/470cf789558978c3933c5d48b9d9e619.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06fbca2aa7910ebfd6021486d94fdee8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60cce332317884d04b38b1ebe8a50d18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
(2)在(1)的条件下,函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64d2bddd82a3123cb0fb1d2a009220dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bb3a6dd56a394ba7f4fd66007bd17ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7ec808ad60dbf016632ec816eaca1df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e98eb2bcddfbd6a2de44770f5569cd38.png)
您最近一年使用:0次
名校
9 . 函数f(x),g(x)的定义域都是D,直线x=x0(x0∈D),与y=f(x),y=g(x)的图象分别交于A,B两点,若|AB|的值是不等于0的常数,则称曲线y=f(x),y=g(x)为“平行曲线”,设f(x)=ex-alnx+c(a>0,c≠0),且y=f(x),y=g(x)为区间(0,+
)的“平行曲线”,g(1)=e,g(x)在区间(2,3)上的零点唯一,则a的取值范围是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a27e72b96bc7af66c7472a9d7370e5b.png)
您最近一年使用:0次
2018-06-14更新
|
1727次组卷
|
4卷引用:【全国百强校】北京101中学2017-2018学年下学期高二年级期中考试数学试卷(理科)
【全国百强校】北京101中学2017-2018学年下学期高二年级期中考试数学试卷(理科)2017届四川凉山州高三理上学期一诊考试数学试卷(已下线)第07讲 利用导数研究函数的单调性(核心考点讲与练)-2021-2022学年高二数学下学期考试满分全攻略(人教A版2019选修第二册+第三册)辽宁省沈阳市东北育才学校2022-2023学年高三下学期高考适应性测试(三)数学试题
名校
10 . 已知函数
,a为实数.
(1)若函数
为奇函数,求实数a的值;
(2)若函数
在
为增函数,求实数a的取值范围;
(3)是否存在实数
,使得
在闭区间
上的最大值为2,若存在,求出a的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6379146d49902a740e6db7d37211308.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5432187d1c042787433b7633292d00fe.png)
(3)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/361c705ee72bb9a0be528f458bdbe457.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a65003491d1f0ea4f46d57e90270e142.png)
您最近一年使用:0次
2017-11-07更新
|
1518次组卷
|
3卷引用:广西南宁四中2019-2020学年高一上学期期中段考数学试题