1 . 对于函数
的导函数
,若在其定义域内存在实数
和
,使得
成立,则称
是“跃点”函数,并称
是函数
的“
跃点”.
(1)若函数
是“
跃点”函数,求实数
的取值范围;
(2)若函数
是定义在
上的“1跃点”函数,且在定义域内存在两个不同的“1跃点”,求实数
的取值范围;
(3)若函数
是“1跃点”函数,且在定义域内恰存在一个“1跃点”,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a68a65126b7e2d009d067f80c34f939d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b81985322aefdb87031c050df2e70a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3685b17e82d4ef4945df3d8700894a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edc43eaefeaa6ad55d23da40913aced7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/881fe2df23c5a0fe1d1fecbe9ffa55fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf80cecca17ae6c6dbce26bde4e06dee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
2023-09-13更新
|
461次组卷
|
3卷引用:甘肃省兰州第一中学2023-2024学年高二下学期5月月考数学试题
名校
解题方法
2 . 已知
为偶函数,
为奇函数,且满足
.
(1)求
、
;
(2)若方程
有解,求实数
的取值范围;
(3)若
,且方程
有三个解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fda51e60a1951edcecfab1d0fe72ab77.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(2)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fff8f97d5225b9350ac5c729c7876cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5657ec0e5d6e92e53e0314675cef1d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c48c2af5163e82225eb3dab8b954240d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2021-12-24更新
|
596次组卷
|
5卷引用:甘肃省定西市临洮中学2023-2024学年高一下学期第一次月考数学试卷