13-14高二下·江苏盐城·期中
1 . 已知函数
.(
为常数)
(1)当
时,①求
的单调增区间;②试比较
与
的大小;
(2)
,若对任意给定的
,在
上总存在两个不同的
,使得
成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89a6eb1b39894b8a890caa51eeb5dce4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3f81f2a0196b06fc56a7e8a6463d179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5464b1d9d68fef5d73d760f72edac694.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c9615599de406eb9db709ef885529dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa8cc90b366efde0bb10652a58431e51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e742268e12c1dd269500286a8d35e3b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/281106d1eb0462759ab01d17ba958a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31296474ad150954afd21b32d71d81c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2014高三·全国·专题练习
名校
2 . 设函数f(x)=(x+1)ln x-2x.
(1)求函数的单调区间;
(2)设h(x)=f′(x)+
,若h(x)>k(k∈Z)恒成立,求k的最大值.
(1)求函数的单调区间;
(2)设h(x)=f′(x)+
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24885e8261b6a45a79220d6a6d940104.png)
您最近一年使用:0次
11-12高三上·陕西·期中
名校
3 . 已知函数
,设
(1)求
的单调区间;
(2)若以
图象上任意一点
为切点的切线的斜率
恒成立,求实数
的最小值;
(3)是否存在实数
,使得函数
的图象与
的图象恰好有四个不同的交点?若存在,求出
的取值范围,若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4171bf9d20701bc1652ea1b0f2bf32e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71607511fdd4faa9e832345ceb2a817d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61c388166862b3ccfcc7ca749ebe5949.png)
(2)若以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c67ef1f0196cf4a0fc4fe992ee620837.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf0d139c9810361b4971904a943856b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96fbbb9c4b0f7937c003ef2c218c02a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc5f224a07d59bde18799fcca3dd7eb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/904c370e81593c9ceda90f20ee6e62aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2016-12-02更新
|
2259次组卷
|
7卷引用:上海市七宝中学2021-2022学年高二下学期期中数学试题
上海市七宝中学2021-2022学年高二下学期期中数学试题(已下线)第5章 导数及其应用(基础、常考、易错、压轴)分类专项训练(原卷版)(已下线)2012届陕西省师大附中高三第一学期期中考试理科数学(已下线)2013届辽宁省东北育才双语学校高三第五次模拟理数试卷(已下线)2014届陕西省宝鸡市高三质量检测一理科数学试卷2015届四川省雅安中学高三9月月考理科数学试卷(已下线)专题3-6 利用导函数研究方程的根(函数的零点)-3
12-13高二上·甘肃天水·期末
4 . 已知函数
,(
),常数
.
(1)试确定函数
的单调区间;
(2)若对于任意
恒成立,试确定实数
的取值范围;
(3)设函数
,求证:
(
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dfa6354d227f69ad3eb470d7c4f6e5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0d68648b10fce54dfc19c5ee60086d.png)
(1)试确定函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f2b52cea78b467b5f7aad62f034c4ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bfc2f1af386882ce8ff95da2b4ec802.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12f5867345de617d6739d3c94830b908.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eec075403b4e6b5e385ee93b4703fab2.png)
您最近一年使用:0次
11-12高三上·广东佛山·阶段练习
5 . 设函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63c25f2a90574092f1a8ad48ef049411.png)
且
(1)求
的单调区间;
(2)求
的取值范围;
(3)已知
对任意
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63c25f2a90574092f1a8ad48ef049411.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/758639a4c7b8ba76d22252dac250e74a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd52704ee09d327d2ef9f74a2054d6bd.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43f6c6360ffafb6508c02d37a7a3c20c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5efe66db991b562c73ffb16c1e585870.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
11-12高二上·广东广州·期中
6 . 已知函数
.
(1)若
,求证:函数
有且仅有2个零点;
(2)若关于x的不等式
在
上恒成立,其中
是自然对数的底数,求实数m的取值范围.
参考数据:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f43a1fcaeb4a25ac37f7751427744c6.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/711b21672fd907c5c92fee1d649e7003.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若关于x的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1392fd6b0ee7cc4a48fdab46fb51a619.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd27b57c7dd68b9efc05e3d807015ea9.png)
您最近一年使用:0次
10-11高二下·浙江杭州·期中
7 . 已知函数
为常数,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7d9cd8123d0c0a8cf2d8007abb79397.png)
(1)若
是函数
的一个极值点,求
的值;
(2)求证:当
时,
在
上是增函数;
(3)若对任意的
,总存在
,使不等式
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00a330cc9da120ee89b455513c635d1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7d9cd8123d0c0a8cf2d8007abb79397.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b650820d7bed48ed67a2869ad8c65ff1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)求证:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1eaf48f1ad368af0b0961322e50d74e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/469378fcfc6a2f74687fb0882a93c79f.png)
(3)若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fae35542c8e8114f3cfc05b400ba565.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af19c6415596218faa7dd1a83126c00a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fb115ff21dbb30c63eee54871c0fd74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
9-10高二下·辽宁大连·期末
8 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a33a2683ce04280d1ee0d012f71c9af.png)
(1)求
在
上的极值;
(2)若对任意
,不等式
成立,求实数
的取值范围;
(3)若关于
的方程
在
上恰有两个不同的实根,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a33a2683ce04280d1ee0d012f71c9af.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/304226ca50149b49702928e44d565964.png)
(2)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54dcf1271de022d25c399e7ab50f20f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c8dfcabb66f9ef40f46ff587359d073.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/c9790aa8394a5512903dfecbcd0ff84e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5432187d1c042787433b7633292d00fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
9 . 已知函数
的图象在点
处的切线方程为
.
(I)用
表示出
;
(II)若
在
上恒成立,求
的取值范围;
(III)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b198677e91defa3ffba5e1865eb387c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e6e15daf7b14dbff32c390f4984dcfb.png)
(I)用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9a475fec8ded321e10a6697319fb975.png)
(II)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f890eb5d86a7484141a8aa9d946552df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed6d804ef44bfc64f824b0ccef71765e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(III)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8aac55d3e280c5629d97e619bf074430.png)
您最近一年使用:0次
2016-11-30更新
|
2412次组卷
|
8卷引用:2011-2012学年广东新兴县惠能中学高二下学期期中理科数学试卷
(已下线)2011-2012学年广东新兴县惠能中学高二下学期期中理科数学试卷2015-2016学年江西吉安一中高二下第一次段考理科数学卷天津市耀华中学2018-2019学年高二下学期期中考试数学试题广东省珠海市第二中学2021-2022学年高二下学期期中数学试题2010年普通高等学校招生全国统一考试(湖北卷)数学(理科)(已下线)2010年高考试题分项版理科数学之专题十三 导数天津市耀华中学2018届高三上学期第一次月考数学(文)试题2(已下线)专题15 数列不等式的证明 微点5 函数放缩法证明数列不等式