名校
解题方法
1 . 已知函数
的定义域为
,当
时,
对任意的
,
,
成立,若数列
满足
,且
,
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4d0cd47609b9d1865dfff4979161cf5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f370a1d4dd341e5ab1774a66c66c1204.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0870c6102356ce530e122ee22c455a17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbee4ceccdf3396733d915ea9ab8dcbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02d2ff5f1a06136aa41fc39702587fcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1505d56f0b35fe7f2de1fe1888036e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/475fdc2128fcc98e4bfe451fd1f49120.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2012·福建宁德·二模
名校
2 . 已知
时,函数
,对任意实数
都有
,且
,当
时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fc9348c9def7fbf5991ec2839751ada.png)
(1)判断
的奇偶性;
(2)判断
在
上的单调性,并给出证明;
(3)若
且
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38f0e9c04402a0ffdaa25c3e3c82c7dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b97b02cc48dab7860567b6c7762b2e87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e0077334d83a27f711b308551eaf14f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05486718d0f498abca5c2c21912bb26d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fc9348c9def7fbf5991ec2839751ada.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bdfed8d6862125dc1fecfce0322a750.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce3a34d6f60032718820c3da2b07786b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc796118b6cc332ab1c14a07e304c1e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2017-09-17更新
|
2304次组卷
|
6卷引用:安徽省滁州市定远县育才学校2017-2018学年高二(普通班)下学期期末考试数学(理)试题
安徽省滁州市定远县育才学校2017-2018学年高二(普通班)下学期期末考试数学(理)试题(已下线)2012届福建省福鼎一中高三第二次质检理科数学2016-2017学年河北省卓越联盟高一上学期月考一数学试卷河南省南阳市第一中学2018届高三上学期第二次考试数学(文)试题安徽省六安市毛坦厂中学2019-2020学年高三(应届)上学期9月月考数学(理)试题(已下线)考点04 函数的单调性与奇偶性-2021年新高考数学一轮复习考点扫描
名校
解题方法
3 . 设等差数列
满足
,
,数列
的前
项和记为
,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/664847622169bab156cb111337cd039e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbe6a8f667589234615b63481f1faaf5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
2017-06-15更新
|
934次组卷
|
4卷引用:河南省洛阳市2016-2017学年高二下学期期末考试数学(理)试题
名校
解题方法
4 . 已知函数
为奇函数.
(1)求
的值;
(2)判断并证明函数
的单调性;
(3)是否存在这样的实数
,使
对一切
恒成立,若存在,试求出
取值的集合;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ad32b9567633d8bc448bddd203ee952.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)判断并证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)是否存在这样的实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea41781a8bd27c1d038fc4e41f577bb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/388d3d213a231cccf854a29eef611d01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
名校
5 . 已知函数
,下列命题正确的有_______ .(写出所有正确命题的编号)
①
是奇函数;
②
在
上是单调递增函数;
③方程
有且仅有1个实数根;
④如果对任意
,都有
,那么
的最大值为2.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62edf0bd99475cf37d5d4159497d285c.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
③方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5397ee1eb6d157f6ec1e7a878f8d16e.png)
④如果对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccf6231da157b3366ce1c284219e1f68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/085f3f7051d969af530a058862f678a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2017-04-11更新
|
1912次组卷
|
12卷引用:北京市育英学校2021-2022学年高二普通班上学期期末练习数学试题
北京市育英学校2021-2022学年高二普通班上学期期末练习数学试题2016-2017学年北京市丰台区高三想上学期一模练习理数试卷【全国百强校】宁夏石嘴山市第三中学2017-2018学年高二6月月考数学(文)试题安徽省六安市毛坦厂中学2019-2020学年高三(应届)上学期9月月考数学(理)试题北京市2020届高考数学预测卷(已下线)专题10 函数的奇偶性的应用-2020年高考数学(文)母题题源解密(全国Ⅱ专版)(已下线)专题09 函数的奇偶性的应用-2020年高考数学(理)母题题源解密(全国Ⅱ专版)(已下线)专题15 函数的综合运用-2020年高考数学母题题源解密(北京专版)湖南省娄底市第一中学2020-2021学年高二上学期第二次单元测试数学试题北京师范大学遵义附属学校2020-2021学年高二下学期第一次月考数学(理)试题北京市第十五中学2022届高三10月月考数学试题北京市育英学校2024届高三上学期统一练习(一) 数学试题
名校
6 . 已知定义域为
的函数
是奇函数.
(Ⅰ)求
的值;
(Ⅱ)当
时,
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/453bea96a2581889ea6fea4a9699cd4c.png)
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
(Ⅱ)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0654e1172b28822855189f2408ecd2f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0d78e40f6632dcd94d6a012dd9a2489.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2017-04-08更新
|
2044次组卷
|
7卷引用:宁夏石嘴山市第三中学2016-2017学年高二下学期期末(2018届高三入学)考试数学(文)试题
名校
7 . 已知函数
,
(Ⅰ)证明:
为奇函数;
(Ⅱ)判断
单调性并证明;
(III)不等式![](https://img.xkw.com/dksih/QBM/2017/3/7/1638718897512448/1638915824132096/STEM/f2cf2551ea2d489cbbd8c75fd05d74ca.png?resizew=2)
对于
恒成立,求实数t的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e51368745ba09c70faf91ccb8b27cfa.png)
(Ⅰ)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(Ⅱ)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(III)不等式
![](https://img.xkw.com/dksih/QBM/2017/3/7/1638718897512448/1638915824132096/STEM/f2cf2551ea2d489cbbd8c75fd05d74ca.png?resizew=2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18310ad19ad027c61e0916981095eaf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c959c8b1881b285b7508c97da250a99b.png)
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2017-03-07更新
|
1194次组卷
|
2卷引用:2016-2017学年辽宁省大连市高一上学期期末考试数学试卷
8 . 已知函数
.
(1)用函数单调性的定义证明:
在
上为减函数;
(2)若对任意
,不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dadb04406e6faf86ef847f7824bce34.png)
(1)用函数单调性的定义证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d79fe3414b32bbd1190b41ed8307f905.png)
(2)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69ef8712fdc2c58083c0d9844d8f5c89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d3d37b1b93f37bd43caa4ed4e9db50d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
解题方法
9 . 已知函数
,![](https://img.xkw.com/dksih/QBM/2016/10/9/1573058426716160/1573058433130496/STEM/ab78eef8eed14283943bc8dac8db1041.png)
(1)用定义法证明
在
上是增函数;
(2)求出所有满足不等式
的实数
构成的集合;
(3)对任意的实数
,都存在一个实数
,使得
,求实数
的取值范围.
![](https://img.xkw.com/dksih/QBM/2016/10/9/1573058426716160/1573058433130496/STEM/3df7236ea67446178cd036632018522e.png)
![](https://img.xkw.com/dksih/QBM/2016/10/9/1573058426716160/1573058433130496/STEM/ab78eef8eed14283943bc8dac8db1041.png)
(1)用定义法证明
![](https://img.xkw.com/dksih/QBM/2016/10/9/1573058426716160/1573058433130496/STEM/370ee7de68e944f487248903ea0c4566.png)
![](https://img.xkw.com/dksih/QBM/2016/10/9/1573058426716160/1573058433130496/STEM/55d801c7fad549ca8c9aa7fae0f8f7ca.png)
(2)求出所有满足不等式
![](https://img.xkw.com/dksih/QBM/2016/10/9/1573058426716160/1573058433130496/STEM/65b4a059bbba4881b1da1197b0edd224.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)对任意的实数
![](https://img.xkw.com/dksih/QBM/2016/10/9/1573058426716160/1573058433130496/STEM/416ddd1dec894ff1834123322f8b85ed.png)
![](https://img.xkw.com/dksih/QBM/2016/10/9/1573058426716160/1573058433130496/STEM/6e0f036099f444bbac5b94cab943d599.png)
![](https://img.xkw.com/dksih/QBM/2016/10/9/1573058426716160/1573058433130496/STEM/9bf822a4970b4af8993f020ec3a856b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
10 . 已知函数
的定义域为
,对任意
,有
,且
,则不等式
的解集为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97a5da929f76bb2cdc7277757e15fbfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d87cd4403487962c38c8707ba3ab3fa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0f18f8fa338915671e29d7e2b5e3aae.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2016-12-04更新
|
817次组卷
|
6卷引用:广东省梅州市兴宁市下堡中学2021-2022学年高二上学期期末数学试题