名校
1 . 已知函数
.
(1)讨论函数
的单调区间;
(2)当
时,函数
有两个零点
,求
的取值范围:
(3)在(2)的条件下,证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/784548dbfa097ef19fd7a4e68739e478.png)
(1)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e189dbc979fad6bf8ca03ac1388cbac0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bff60eab72de85437e12806474281612.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)在(2)的条件下,证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abc93e6c831bd03403d423b88746e733.png)
您最近一年使用:0次
2024-04-01更新
|
349次组卷
|
3卷引用:江苏省淮阴中学2023-2024学年高二下学期级阶段测试(一)数学试卷
名校
解题方法
2 . 已知函数
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
(1)若
的最大值是
,求实数
的值;
(2)若
有两个零点
,
,求实数
的取值范围,并证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a8e0e3b1c0f12e4453b74367affec29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8f06c8ed6a4f4262fd8c82b306e15e3.png)
您最近一年使用:0次
名校
3 . 已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ceab3a0c10fd748ddc2fcfe0ec7fe4fa.png)
(1)当
时,求
在
处的切线方程;
(2)当
时,
恒成立,求
的取值范围;
(3)求证:
,其中
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ceab3a0c10fd748ddc2fcfe0ec7fe4fa.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2fb40a36a293471742ce75f6b9635b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e38c541dec8fce1d26886e5ef7d21f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ab3a73b61499e1bff0762934c3402c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac69e6db1df13ed64756b4f391ae9fac.png)
您最近一年使用:0次
名校
解题方法
4 . 已知函数
,
(
为常数).
(1)若函数
与函数
在
处有相同的切线,求实数
的值;
(2)若
,且
,证明:
;
(3)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/0d71215f397a7555ae415edfb648d0bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cafcaf59297d9618a2eebc0f08818190.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/500d68f2678989a5ce7431cfd51b019d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2fb40a36a293471742ce75f6b9635b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b4955c5adc717b7f6f0b975e0724ff5.png)
(3)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4318a47d7e83d587e74bab4d3d1f6883.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b4955c5adc717b7f6f0b975e0724ff5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2021-09-02更新
|
647次组卷
|
3卷引用:江苏省淮安市金湖、洪泽等六校2020-2021学年高二下学期期中数学试题
江苏省淮安市金湖、洪泽等六校2020-2021学年高二下学期期中数学试题北京市北京交通大学附属中学2023-2024学年高二下学期期中练习数学试题(已下线)第14讲 端点恒成立与端点不成立问题-2022年新高考数学二轮专题突破精练
名校
5 . 已知函数
,
,
.
(1)若曲线
在点
处的切线与
轴垂直,求
的值;
(2)讨论
的单调性;
(3)若关于
的方程
在区间
上有两个不相等的实数根
,
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdac8719fed9bb4e1753587608265d50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6315b615676133b90db5e5363de5b0b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfa76a059e95088cc306d55ce17b748d.png)
(1)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9587df831df1af5e7dd6be5fdc7bd8ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84a7a4a037a4dfe973f1eb683d93d799.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5120da38792c0c52a5f54cc7912e290f.png)
您最近一年使用:0次
2021-04-03更新
|
2074次组卷
|
8卷引用:江苏省淮安市盱眙县马坝高级中学2020-2021学年高二下学期期中数学试题
名校
解题方法
6 . 已知函数
,
的图象在点
处的切线为
.
(1)求函数
的解析式;
(2)设
,求证:
;
(3)若
对任意的
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f759792028843084024c269f5355429.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7d4f20f4d98141613ff5dd7c37b55c3.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6a0b5bb152443fe850a9db6bf4f7d13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc0879734ee766cb630cfeb3f25fea7d.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa8467418380f4b7faa6c7955084db81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/966b60302d80d8613675bb3dd5c03164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2020-06-23更新
|
557次组卷
|
18卷引用:江苏省淮安地区五校2019-2020学年高二下学期6月联考数学试题
江苏省淮安地区五校2019-2020学年高二下学期6月联考数学试题安徽省淮北市淮北师范大学附属实验中学2018-2019学年高二下学期第二次月考数学(理)试题河北省唐山市玉田县2018-2019学年高二下学期期中数学(理)试题河北省唐山市玉田县2018-2019学年高二下学期期中数学(文)试题广东省顺德区容山中学2019-2020学年高二下学期期中数学试题四川省成都市青白江区南开为明学校2019-2020学年高二下学期第三次月考数学(文)试卷浙江省宁波市奉化高中、慈溪市三山高中等六校2019-2020学年高二下学期期中联考数学试题江苏省南通市海门市包场高级中学2020-2021学年高二上学期期中数学试题福建省福州市第四十中学2022-2023学年高二下学期期末阶段练习数学试题河北省衡水中学2017届高三高考押题卷三卷理数试题2019届高考数学人教A版理科第一轮复习单元测试题:第三章 导数及其应用河北省衡水中学2018年高考押题(三)理科数学【全国百强校】宁夏银川一中2019届高三第三次月考数学(文)试题【校级联考】福建福鼎三校联考2019届高三上半期考文科数学试题(已下线)2020届高三12月第02期(考点03)(文科)-《新题速递·数学》山西省临汾市洪洞县第一中学2020届高三上学期期中数学(文)试题西藏自治区日喀则区南木林高级中学2021届高三上学期第二次月考数学试题江西省萍乡市芦溪中学2023届高三上学期开学考数学(文)试题
解题方法
7 . 已知函数
(其中
是自然对数的底数),
为
导函数.
(1)当
时,其曲线
在点
处的切线方程;
(2)若
时,
都有解,求
的取值范围;
(3)若
,试证明:对任意
恒成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec51eeae488f6ece6c980f37afd8306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/114a6b9b66de5b342b488cdd98d1a17c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9747a6549da84473cae74bae57ec7d54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8e69866076dcff686a05e9e91e61e68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09b29a7faa14a6e09d0db2d04f4ced03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bea9227dd0104da58e0c40952cc87ed.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f034f7c275de68eaef93012d1fa92d95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b43a50366cc3b06c85f381dcabcd69a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65e5c846bcefbe62fc037f1afe97c8fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77f25233104296b170a71eb13aecdeca.png)
您最近一年使用:0次
2016-12-04更新
|
498次组卷
|
6卷引用:2014-2015学年江苏省淮安市高二下学期期末测试文科数学试卷