名校
1 . 已知函数
,
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cd91c48294801ca09895b154fb1207b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f04d6e9db53a3a54e3c4259aeb25f772.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/783bfa5144dbb04f4e89095852a98bdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49268ebb8fd9b109c16931c9e97e0aeb.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2022-11-03更新
|
690次组卷
|
3卷引用:贵州省遵义市2023届高三上学期第一次统一考试数学(文)试题
解题方法
2 . 已知函数
.
(1)当
时,求
的极值;
(2)当
时,若存在正数
,使不等式
成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21f8bfbd6125f6312b8f25323401f22e.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03fc1cd2baabbf8afea25478e1258237.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
3 . 设函数
,
.
(1)求函数
的单调区间;
(2)讨论函数
的零点个数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ad5ab2e3e18031e7a1ca5190a48cb2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bf8197e4f3fd18815045d29c357a863.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
2020-05-14更新
|
364次组卷
|
4卷引用:贵州省遵义市红花岗区部分学校2022-2023学年高二下学期期中考试数学试题
4 . 已知函数f(x)=lnx+a(x2﹣1).
(1)讨论函数f(x)的单调性;
(2)当a
,x∈[1,+∞)时,证明:f(x)≤(x﹣1)ex.
(1)讨论函数f(x)的单调性;
(2)当a
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6060fa8f42deab680b6e341efdbefd14.png)
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2020-03-16更新
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298次组卷
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3卷引用:贵州省部分重点中学2019届高三上学期高考教学质量评测卷(四)(期末)数学(理)试题
5 . 已知
,
.
(Ⅰ)讨论函数
的单调性;
(Ⅱ)记
表示m,n中的最大值,若
,且函数
恰有三个零点,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64263fe2ca48e694c87496d61e63fb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4b13c3f572d0ee6cfbe0065a79f1c34.png)
(Ⅰ)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
(Ⅱ)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1bfb9487f824ff9fd2a1a281f8d62f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d29332c52dd44fb222eb24db91bbe17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4133958c09fdd82cda8838c9cf46ccda.png)
您最近一年使用:0次
名校
6 . 已知函数
,且
.
(1)判断函数
的单调性;
(2)若方程
有两个根为
,
,且
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e6bb62db27fd707e34733b7bb085b22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c0e3db473a2eac948ddd3b1f9408e10.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c0d827ef8598ba6b70b34b2bdcd1e9.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/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c701c5c07f7c584aadd218d9e341d3ac.png)
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2019-10-12更新
|
648次组卷
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3卷引用:2019年贵州省铜仁市第一中学高三上学期第二次模拟考试数学试题(理科)
2019年贵州省铜仁市第一中学高三上学期第二次模拟考试数学试题(理科)2020届贵州省铜仁第一中学高三上学期第二次模拟数学(理)试题(已下线)2020届高三12月第01期(考点03)(理科)-《新题速递·数学》
名校
7 . 已知函数
.
(Ⅰ)当
时,函数
在区间
上的最小值为-5,求
的值;
(Ⅱ)设
,且
有两个极值点
,
.
(i)求实数
的取值范围;
(ii)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/616d615881fea181c6bf6cdd614690a6.png)
(Ⅰ)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10ede78fd7ac619ea597856254bb5d75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c0b6ca237b90b49a91d9d74d007efdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(Ⅱ)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e494fd11bcc9b83a48ecbc0513c7f81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
(i)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(ii)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3661dbd3b2c578c685e6a11a4102ddd.png)
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2019-04-20更新
|
1970次组卷
|
5卷引用:贵州省凯里市第一中学2019届高三下学期模拟考试《黄金卷三》数学(理)试题
贵州省凯里市第一中学2019届高三下学期模拟考试《黄金卷三》数学(理)试题2020届陕西省西安交大附中学南校区高三上学期期中数学(理)试题2020届浙江省温州市新力量联盟高三上学期期末数学试题(已下线)专题10 导数与函数的极值、最值-冲刺2020高考跳出题海之高三数学模拟试题精中选萃(已下线)专题03 利用导数求函数的极值、最值(第六篇)-备战2020年高考数学大题精做之解答题题型全覆盖
名校
8 . 已知函数
.
(1)当
时,求曲线
在
处的切线方程;
(2)若对任意
,都有
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4075344675c034db83a91431d5fbe566.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2807af9812a98568139a85334addc2.png)
(2)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4423bbfa6879df006fc0a0fe2f5de71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
9 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a739484281abaf9092fd6fc534b352d.png)
.
(I)求
在其定义域上单调区间;
(II)若
,都有
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a739484281abaf9092fd6fc534b352d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c0727421be959f84259e666afc3bec2.png)
(I)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(II)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ec8b416d1cbe52e1b1b4f8acf82e092.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec6154e00013d9dee84c0e941f676ea9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
名校
10 . 已知函数
,
,若对
,
,使
成立,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7999d95697122b5946a74ccf19456954.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fd85b8691f4c2335f2b7e6b268d946c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10eff40a2b814c72dcb07e93120e69e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0abd009b97a996b283d67ff53fefa024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e63bbadc6250f7139836ede33205550.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2019-04-01更新
|
2017次组卷
|
4卷引用:贵州省凯里市第一中学2019届高三下学期模拟考试《黄金卷二》数学(文)试题