1 . 已知函数
.
(1)若
在区间[1,2]上不是单调函数,求实数
的范围;
(2)若对任意
,都有
恒成立,求实数
的取值范围;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d5b193254eb319aa2a256fe3a52b832.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbfe44972e8bf50ec9d250f298bbee0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34d5b955735c38b43680462e1edf32fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2016-12-04更新
|
528次组卷
|
3卷引用:2015-2016学年广西柳州铁路一中高二上期末理科数学卷
2015-2016学年广西柳州铁路一中高二上期末理科数学卷2020届全国100所名校高三模拟金典卷理科数学(三)试题(已下线)第六章 导数与不等式恒成立问题 专题五 单变量恒成立之必要性探路法(4) 微点1 必要性探路法(4)——外点效应、拐点效应、孤点效应
2011·浙江·一模
2 . 已知函数
图象的对称中心为
,且
的极小值为f(2)=
.
(1)求
的解析式;
(2)设
,若
有三个零点,求实数
的取值范围;
(3)是否存在实数
,当
时,使函数
在定义域[a,b]上的值域恰为[a,b],若存在,求出k的范围;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64b2133e75b541bb6f4c7911b3a5e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53a948d2f7732d7f03e986c63712089b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ff202e6ef7c424a37a1706cbbfd4b61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c787b3ae93138bac7485c406d29f94b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/485a2d99320384a0857b00ce9ab9e990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f69767470956b5d3c001def570781dc3.png)
您最近一年使用:0次
11-12高二下·江苏·期中
真题
3 . 已知函数
,
,其中
是
的导函数.
(1)对满足
的一切
的值,都有
,求实数
的取值范围;
(2)设
,当实数
在什么范围内变化时,函数
的图象与直线
只有一个公共点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/949555e22878021b9329581092e9ceb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a586b1d801713383df5a94816bb8df4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(1)对满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b89c33bf8803c80b65d4ebd7746645e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f36f7ab55b63c08280a41fb64366b819.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfc3780d60762c06b514e1b0264c4282.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9355031ea0b2dc9cef3777621bc6d38.png)
您最近一年使用:0次
12-13高二下·山西·阶段练习
4 . 已知函数
,在
时取得极值.
(Ⅰ)求函数
的解析式;
(Ⅱ)若
时,
恒成立,求实数m的取值范围;
(Ⅲ)若
,是否存在实数b,使得方程
在区间
上恰有两个相异实数根,若存在,求出b的范围,若不存在说明理由.
![](https://img.xkw.com/dksih/QBM/2013/4/10/1571180670459904/1571180676202496/STEM/2afb2ab41bbd4249a7e1d4c4dc1a3612.png)
![](https://img.xkw.com/dksih/QBM/2013/4/10/1571180670459904/1571180676202496/STEM/01a6a5b16c9743cdb7bbc8742128a803.png)
(Ⅰ)求函数
![](https://img.xkw.com/dksih/QBM/2013/4/10/1571180670459904/1571180676202496/STEM/39c60d9724824894b63a8a9678edaf6b.png)
(Ⅱ)若
![](https://img.xkw.com/dksih/QBM/2013/4/10/1571180670459904/1571180676202496/STEM/7a6e503bfe8b447e996209a8eeb1f825.png)
![](https://img.xkw.com/dksih/QBM/2013/4/10/1571180670459904/1571180676202496/STEM/b4756b65d6ca4adaa777ee122bf6b461.png)
(Ⅲ)若
![](https://img.xkw.com/dksih/QBM/2013/4/10/1571180670459904/1571180676202496/STEM/130fba10c9e84aec9e328906a396c197.png)
![](https://img.xkw.com/dksih/QBM/2013/4/10/1571180670459904/1571180676202496/STEM/ab0bf2495cf24c81a95ff57e074bfed4.png)
![](https://img.xkw.com/dksih/QBM/2013/4/10/1571180670459904/1571180676202496/STEM/a1c0d96c5c0e4f2d9c6865507bc0ebc2.png)
您最近一年使用:0次
名校
5 . 已知函数
(
)在其定义域内有两个不同的极值点.
(I)求a的取值范围;
(II)记两个极值点分别为
,且
.已知
,若不等式
恒成立,求
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e5124251b521fb2525f55b99ee9ff6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
(I)求a的取值范围;
(II)记两个极值点分别为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3be362dec96173f246ff747264007817.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a5def2e680848aaf69b5a8c0f50ce05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2016-12-04更新
|
783次组卷
|
10卷引用:2016届辽宁省沈阳市高三教学质量监测一理科数学试卷
2014·江西宜春·一模
名校
解题方法
6 . 已知函数
,
.
(1)若
在区间
上不是单调函数,求实数
的范围;
(2)若对任意
,都有
恒成立,求实数
的取值范围;
(3)当
时,设
,对任意给定的正实数
,曲线
上是否存在两点
,
,使得
是以
(
为坐标原点)为直角顶点的直角三角形,而且此三角形斜边中点在
轴上?请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c067e6d907f6c0fdfa9be70bbc027595.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2905c314cbffa446435bd56c760097e.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9210e75c35fb455d0446eb7ddba7d79c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a99f1bc6895934a9e2a6d659383ded9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a6eefb2d02e54ce0ce4c9931ef774b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/143b917df0520097be222accbddf9394.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbd94098e98d90588cb74c1429033a27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4133958c09fdd82cda8838c9cf46ccda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9efd09912705e08177bc86e839c41b29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
您最近一年使用:0次
2016-12-03更新
|
2201次组卷
|
7卷引用:2014届江西省宜春市高三考前模拟理科数学试卷
(已下线)2014届江西省宜春市高三考前模拟理科数学试卷(已下线)2015届山东省淄博实验中学高三第一次诊断性考试理科数学试卷湖南师大附中2019届高三月考试题(七)数学(文)【市级联考】江西省萍乡市2019届高三一模考试数学(文)试题【全国百强校】北京市第四中学2019届高三高考调研卷(二)文科数学试题湖南师范大学附属中学2018-2019学年高三第七次月考数学(文)试题山东省济宁市第一中学2020届高三考前冲刺测试(一)数学试题
7 . 已知函数
.
(1)若
,求函数
在
上的最小值;
(2)若函数
在
上存在单调递增区间,求实数
的取值范围;
(3)根据
的不同取值,讨论函数
的极值点情况.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/950c4608f052411f9afcf0d7f16b1581.png)
(1)若
![](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/7754cc9374c8193dadb6875fb8a3fefb.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b448fe164c2c2931805e3b3847dcdd75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)根据
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
2016-12-04更新
|
1409次组卷
|
2卷引用:2016届天津市和平区高三第四次模拟理科数学试卷
解题方法
8 . 已知函数
.
(1)当
时,求函数
的极值;
(2)若
在区间
上单调递增,试求
的取值或取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9943f4f9b54e1eec1812d2e966d7c82e.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ed2f490aac02631c2ed9e6b76354a49.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
9 . 已知函数
,若不等式
的解集中有且仅有一个整数,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db0c0fb7d7810f3f95415e61621d07a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/556d16c3c54ea40009014996fef7644a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
10 . 已知函数
,设
,若
只有一个零点,则实数a的取值范围是______ ;若不等式
的解集中有且只有三个整数,则实数a的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86161d12df385eb4cfec8a8a38277fc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53abe4b09aa5050088ea67426e846260.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b17af43cc460a6a7010d51a0c9403d67.png)
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