名校
1 . 已知定义在
上的函数
满足:
.
(1)判断
的奇偶性并证明;
(2)若
,求
;
(3)若
,判断并证明
的单调性.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ca24be2290ac9cf976edce22eb8d060.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/249a976e88133f3b3733f09137cf5c42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4886e28e9ecd40f7edd25f25bde28453.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/146e32ccd4375d7898e8381ef7bee7f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a360203717effe5e60f78c5b2b7a95d.png)
您最近一年使用:0次
解题方法
2 . 设定义在
上的函数
,对任意
,恒有
.若
时,
.
(1)判断
的奇偶性和单调性,并加以证明;
(2)若对于任意
和任意
,都有不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e64541d7f445079207b6f671adc7d662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53329c5598fe527e54320d5cb351240c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1591d4244dcf5539a4ae98f554e91e61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ff1c3734122293522a093d2907b7710.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9f55b1b8ea160e1209ebbffdf80a0c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-11-16更新
|
131次组卷
|
2卷引用:河北省保定市五校(1+3)2023-2024学年高一上学期期中联考数学试题
解题方法
3 . 已知定义在
上的函数
满足
,
,
,且
.
(1)求
,
,
的值;
(2)判断
的奇偶性,并证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e876debd1fc7a6f1f458c757f6e9f681.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf549e90e3d29a36ee8b3929fba61cc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14f7c47a5d636d850045dd49c331ef58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e38fffbc7ab9882480f4faa72390e23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ce6155e181e21ce56ea658b70f8af17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a32822a106d217ffdec43557a236f786.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
解题方法
4 . 已知函数
是定义在
上的奇函数,且
.
(1)求函数
的解析式;
(2)判断并证明
在
上的单调性;
(3)若存在实数
,使得不等式
有解,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93fcd55514c3c48f8d143df69e8c3170.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b122bc5f427c0c5fb3ee495b38a6e9.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)判断并证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35e91676c7adfd65a76f56a0c1d4bbe0.png)
(3)若存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca97e3aa8061c4d8e621c5598c69b13b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ecb849b9776423495c6359c3d277944.png)
您最近一年使用:0次
2023-09-01更新
|
1156次组卷
|
6卷引用:河北省秦皇岛市青龙满族自治县部分学校2023-2024学年高一上学期12月联考数学试题
河北省秦皇岛市青龙满族自治县部分学校2023-2024学年高一上学期12月联考数学试题江苏省淮安市2022-2023学年高一上学期期末数学试题(已下线)高一上学期期中复习【第三章 函数的概念与性质】十大题型归纳(拔尖篇)-举一反三系列(已下线)高一上学期期中考前必刷卷02-期中考点大串讲(人教A版2019必修第一册)(已下线)5.4 函数的奇偶性(2)-【帮课堂】(苏教版2019必修第一册)(已下线)高一上学期期末考试解答题压轴题50题专练-举一反三系列
名校
解题方法
5 . 已知函数
是定义在
上的奇函数,且
.
(1)求
,
的值;
(2)设
,若对任意的
,总存在
,使得
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/696d36c5372e1e6a78d91fc60b836a85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d188ec2580e273ce87e51653a2177ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51e817f37f5a814e856ebc4a16d676ce.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ecbf7d2ff7939842939ae2c2d799687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6a3163cc2d37e7b7fe450f6e8bf8500.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a49684ba67f71171321586f1a77ad4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/032e8dc00cdc96860c9cbf8ac09677fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2022-11-21更新
|
540次组卷
|
4卷引用:河北省廊坊市第十五中学2022-2023学年高一上学期12月月考数学试题
名校
解题方法
6 . 函数
的图像关于坐标原点成中心对称图形的充要条件是函数
为奇函数,可以将其推广为:函数
的图像关于点
成中心对称图形的充要条件是函数
为奇函数,给定函数
.
(1)利用上述材料,求函数
的对称中心;
(2)判断
的单调性(无需证明),并解关于
的不等式
(
).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bec550c01b4f075f22ab67f5e55ed5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05d0969cb7acbeaa05a101a385348a00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0a7083212ae2d09038ff3efa78ca05b.png)
(1)利用上述材料,求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)判断
![](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/716ee17ec405e9050cc0cbc1ab959a4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcd9218a657b17654c5d757a6f7dee9a.png)
您最近一年使用:0次
7 . 设函数
, 令函数
.
(1)若函数
为偶函数, 求实数
的值;
(2)若
, 求函数
在区间
上的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e7726947ea2122a106abae0dd3446c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f0641aaae00b13af3345dcf9ecb7c7f.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fd713a9809d5df1de33c6f11b81eca7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fab11f38ab8593932082ec4d9c8c91f.png)
您最近一年使用:0次
名校
解题方法
8 . 已知函数
对任意的
都有
,且当
时,
.
(1)判断函数
的奇偶性;
(2)证明:函数
是定义域上的减函数;
(3)当
时,函数
是否有最值?如果有,求出最值;如果没有,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f41dbae6c8949fc33a77735c05928ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9c0b77c282c0b2cbb3dab9a7e225dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70333079f6699dd59d4887f06988f219.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdc90a4915bf934d979d36505df2d7ce.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)证明:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f5138e260da0c66de38a4a8785bbb0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
名校
解题方法
9 . 已知函数
是奇函数,
是偶函数.
(1)求
.
(2)判断函数
在
上的单调性并说明理由,再求函数
在
上的最值.
(3)若函数
满足不等式
,求出t的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4058decd4cdaad5cd3e9f66b326ea831.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2c708d16907f33ba6e0b019bf126f67.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.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/417ab20883d799aaf311371393fa7d7c.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da48c256cc61ec2b7fbac83f8ed51dc0.png)
您最近一年使用:0次
2022-01-12更新
|
892次组卷
|
5卷引用:河北省邯郸市永年区第二中学2023-2024学年高二下学期6月月考数学试卷
名校
解题方法
10 . 已知定义在
上的函数
为偶函数.
(1)求
的值;
(2)判断
在
上的单调性(不用证明);
(3)已知函数
,
,若对
,总
,使得
成立,试求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fc7a906a239aced7745039b15e2daaa.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
(3)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41501f21dcc2aab61dd5b1a538e19d58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31c78f63459505c64effea0d071eae2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/703c71e301b4bdaef96da0c9769adbe7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/135bb2f2e3a686837b972873f751ddcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/032e8dc00cdc96860c9cbf8ac09677fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2022-01-11更新
|
791次组卷
|
3卷引用:河北省邯郸市2021-2022学年高一上学期期末数学试题
河北省邯郸市2021-2022学年高一上学期期末数学试题福建省尤溪第一中学2021~2022学年高二下学期数学期末模拟卷(三)试题(已下线)高一上学期期末【压轴60题考点专练】-2022-2023学年高一数学考试满分全攻略(人教A版2019必修第一册)