1 . 已知函数
,且曲线
在
处的切线为
.
(1)求m,n的值和
的单调区间;
(2)若
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c2d3fab8e29dcf59d458c1e8bcd465c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1d0aa9412dd7caf42cc71520e282328.png)
(1)求m,n的值和
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969e0ea877612922fe8b9d36ff188d38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7ec808ad60dbf016632ec816eaca1df.png)
您最近一年使用:0次
2023-01-04更新
|
758次组卷
|
4卷引用:辽宁省辽阳市2022-2023学年高三上学期期末数学试题
名校
2 . 已知函数
,
,
.
(1)若直线
与
在
处的切线垂直,求
的值;
(2)若函数
存在两个极值点
,
,且
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0826fcb806662f344814a7c4dcfd5263.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bf496a7cddcaece01ee829b9ae83b9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df307146ad61d4bf105370f65a3e742c.png)
(1)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bfea30b3df4214f447aaeacbf558aa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97e7417618db2a984a0b1637b03e4174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f50750782cfc3d4fbe990473027516f.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/f688580b0aff9b109a1d597efb6275ca.png)
您最近一年使用:0次
2022-11-24更新
|
1470次组卷
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4卷引用:辽宁省沈阳市第十中学2022-2023学年高三上学期12月月考数学试题
辽宁省沈阳市第十中学2022-2023学年高三上学期12月月考数学试题广东省韶关市2023届高三上学期综合测试(一)数学试题(已下线)数学(新高考Ⅰ卷B卷)(已下线)专题17 函数与导数压轴解答题常考套路归类(精讲精练)-3
名校
3 . 设m为实数,函数
.
(1)求函数
的单调区间;
(2)当
时,直线
是曲线
的切线,求
的最小值;
(3)若方程
有两个实数根,
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7980111edee3c8fc65222950c4691e7b.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecc9920abcee41ad09f346eeb981b9d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5c725ec308ddc3c82c836784f5b1290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
(3)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2050c90b649abcde70159b2cf0996c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aca579894dad67bc82cb715fd48e0d70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69f02b52c7928235fe5e25b4c5ca4ebc.png)
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2022-10-05更新
|
2081次组卷
|
10卷引用:辽宁省鞍山市第一中学2023届高三上学期二模考试数学试题
辽宁省鞍山市第一中学2023届高三上学期二模考试数学试题辽宁省辽河油田第二高级中学2022-2023学年高三上学期期末考试数学试题浙江省十校联盟2021-2022学年高三下学期开学联考数学试题湖南省株洲市南方中学2022-2023学年高三上学期9月月考数学试题河南省南阳市第一中学校2022-2023学年高三上学期第二次月考理科数学试题四川省2023届高考专家联测卷(三)理科数学试题四川省2023届高三高考专家联测卷(三)文科数学试题内蒙古赤峰二中2022-2023学年高三下学期第二次月考理科数学试题吉林省通化市梅河口市第五中学2023届高三上学期期中数学试题上海市上海交通大学附属中学2022-2023学年高三上学期期中考试数学试题
名校
解题方法
4 . 已知函数
.
(1)若直线
与
的图像相切,且切点的横坐标为1,求实数m和b的值;
(2)若函数
在
上存在两个极值点
,且
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/551ac80321f1a8a441e34fc606eb3c2b.png)
(1)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07565f10847840e0fb07b05218ad17fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
![](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/e5e3090a098e891e1883168719f7ad05.png)
您最近一年使用:0次
2022-05-05更新
|
1202次组卷
|
2卷引用:辽宁省辽南协作体2021-2022学年高三下学期第二次模拟考试数学试题
5 . 已知函数
.
若
,求函数
在
处的切线方程;
若
有两个零点
、
,且
.
求a的取值范围;
证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a72abe8ed96156696536397995661139.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4141b26d2c32655003494a91ad6331b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9af6b8933cb0bcc983a15c903b5892e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d93246539f83796d6b2101b7bf0c7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65863c1abad833b79c303bfca24f535c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c7028a5fa4d781d382ca3b73b74796e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/040135d64192de075ba0cc9f11ddbc9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaa33c2bd791339d32821077846605d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d6fe150b0a721696c8c063999ba38d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c512c047783c07da1d4f4455a4033ef5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/876959b9f90f2379cf3d0927a8e31005.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b281d412ab1d0d5d172d79a7d9fb588.png)
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