1 . 已知函数
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd8ed92f58d44ee590c425bc741195c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/577e691feafc7b4972dabb6295788f8b.png)
A.![]() ![]() |
B.当![]() |
C.当![]() ![]() |
D.若两个函数图象有两条公切线,以四个切点为顶点的凸四边形的周长为![]() ![]() |
您最近一年使用:0次
2024-04-06更新
|
792次组卷
|
2卷引用:广东省佛山市顺德区第一中学西南学校2023-2024学年高二下学期第一次月考数学试卷
2 . 已知曲线
在点
处的切线与曲线
相切于点
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b743bb6d5af217588221654a31dbc432.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8198c3b302b3820e86763428eb1e91cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31109bde2b310c87e3e7992304765b85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3463ced6030af957f13f9ba05b977c1c.png)
A.函数![]() |
B.函数![]() ![]() |
C.![]() |
D.![]() |
您最近一年使用:0次
2024·全国·模拟预测
3 . 如果有且仅有两条不同的直线与函数
的图象均相切,那么称这两个函数
为“
函数组”.
(1)判断函数
与
是否为“
函数组”,其中
为自然对数的底数,并说明理由;
(2)已知函数
与
为“
函数组”,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8fd1e808e015f4cb43d2e3a0529ac6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8fd1e808e015f4cb43d2e3a0529ac6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bea75e6fa8f587c7afff0ffb563b921.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5db192285632d1991b4ee7a003a52205.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a3eda8f315eb3b1e949c7a0989b9bd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30612ee82e71ff4c6f831f1b43c25bf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
4 . 设函数
(e为自然对数的底数),函数
与函数
的图象关于直线
对称.
(1)设函数
,若
时,
恒成立,求m的取值范围;
(2)证明:
与
有且仅有两条公切线,且
图象上两切点横坐标互为相反数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a903745cd2cb536443d07579b606ece5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
(1)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c013c0ea4c429c9c553bba2ac9e86061.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e10dce73bdc1d522ae7cb34805ed3d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d6dd803c2811a3dfeebb65651153f2f.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
您最近一年使用:0次
2024-01-08更新
|
525次组卷
|
2卷引用:广东省广州市广东实验中学2024届高三上学期大湾区数学冲刺卷(一)
名校
解题方法
5 . 已知
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51157ab706556f7147c0bf41d541c470.png)
A.对于任意的实数![]() ![]() ![]() ![]() |
B.对于给定的实数![]() ![]() ![]() |
C.![]() ![]() ![]() ![]() |
D.存在![]() ![]() ![]() |
您最近一年使用:0次
2023-06-02更新
|
1596次组卷
|
4卷引用:广东2024届高三数学新改革适应性训练三(九省联考题型)
名校
6 . 定义:若函数
图象上存在相异的两点
,
满足曲线
在
和
处的切线重合,则称
是“重切函数”,
,
为曲线
的“双重切点”,直线
为曲线
的“双重切线”.由上述定义可知曲线
的“双重切线”的方程为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.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/942c2141d01bde6b48210c56a17fc75e.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/09f86f37ec8e15846bd731ab4fcdbacd.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/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc8a553c84daabf4712f90ab9ee94bef.png)
您最近一年使用:0次
2023-05-27更新
|
721次组卷
|
2卷引用:广东省广州市天河区华南师大附中2023-2024学年高三上期第一次月考数学试题