名校
1 . 设函数
.
(1)讨论函数
的单调性;
(2)若
在
时恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96f4f282a7a75c36d99d7d024882af26.png)
(1)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/557bf8537dbdc00c6a1d1a0bae6d5033.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48350c9f896c18a64f27867ca81c9be2.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
2 . 已知函数
.
(1)求函数
的最小值;
(2)若对于任意的
,都有
,求整数
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61af43b2e572e07e007ff8fa9287766a.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若对于任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4921923069c4f38a0af1ff8637e35b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfe8d4455774b1fea3ff25747ff3c165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
解题方法
3 .
,对
,不等式
恒成立,则正整数
的最大值与最小值之和为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd57dd79e746b9778ad15cb09f004888.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29ec2ea725300cc165d1065a0dd688e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f64921099dbf689917a06764bdaa27d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
A.8 | B.6 | C.5 | D.2 |
您最近一年使用:0次
2024-03-27更新
|
315次组卷
|
2卷引用:1号卷·2022年高考最新原创信息试卷(四)理数
解题方法
4 . 当
时,
恒成立,则整数
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6d1ce16b61a9df3c46dc2c5733513a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
A.3 | B.2 | C.1 | D.0 |
您最近一年使用:0次
名校
解题方法
5 . 已知函数
.
(1)若函数
无极值,求实数
的取值范围;
(2)若关于
的不等式
在
上恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed1cef75fd233273e4ac759089e9ae16.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acdb7a1c70a4c6ef4e5fbafcd3879d97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1613d377a07850c72cbec354b7a3000f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2024-03-12更新
|
467次组卷
|
2卷引用:高三理数试题-河南省豫南六校2022-2023学年高三上学期第一次联考试题
解题方法
6 . 已知关于
的不等式
在
上恒成立,则实数
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec7ddd3d7b4905584cfc675f4ce89b35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed6d804ef44bfc64f824b0ccef71765e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
7 . 已知函数
.
(1)当
时,求
在
上的零点个数;
(2)求证:当
时,
对
恒成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e04f0356f325d9f3cbc94e8426065304.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fc25055c6c6ab7e4bfd929d28acb4a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b23efa380a58dc9663ba06dc249ce721.png)
(2)求证:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75035035d9d58e26781abfd4fc4d0d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/744d8e4ec21306ba4b152cdc7319d8a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9376011de97004ad1c9cf10f229e70ea.png)
您最近一年使用:0次
解题方法
8 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea46afaf23c78273d16498f0245db465.png)
.
(1)当
时,求
在点
的切线方程;
(2)若
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea46afaf23c78273d16498f0245db465.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bcaceadc00d891e292c8bdff9e4ce64.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bea9227dd0104da58e0c40952cc87ed.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.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
,其中常数
.
(1)若当
时,不等式
恒成立,求实数
的取值范围;
(2)若
,且
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e759045717acf1c5b485b403245f7ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5f7f23e7f20dd8bc65a4967cd306782.png)
(1)若当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58e82c4003d20b36777f7aea584e3dd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f22a4a0dd7307a1323d25331e60782d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58e82c4003d20b36777f7aea584e3dd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69201b2dc2decd8c6c2a9217ae4edfcb.png)
您最近一年使用:0次
10 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d5957c2f77cef3509b864de98bf0af8.png)
.
(1)当
时,判断函数
的单调性,并证明
;
(2)若对
,不等式
恒成立,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d5957c2f77cef3509b864de98bf0af8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce271fca2cfe209bc311fbe3080bafc2.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd876a2ed79c64bacc3e64b8ee92735e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02939be8a65d7a4ce1a8620085c2d8ae.png)
(2)若对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6422b9c2e93a91fe9e39ce4d9dabb0fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/818dcdda5f3961e803c76b0ac92c055e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00c698cdb6982beeaa266ac9170cabd4.png)
您最近一年使用:0次