名校
解题方法
1 . 若函数
在定义域内的某区间
上是严格增函数,而
在区间
上是严格减函数,则称函数
在区间
上是“弱增函数”.
(1)判断
,
在区间
上是否是“弱增函数”(不需证明)?
(2)若
(其中常数
,
)在区间
上是“弱增函数”,求
、
应满足的条件;
(3)已知
(
是常数且
),若存在区间
使得
在区间
上是“弱增函数”,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e82cc461b9607e08a8b31597f6d26df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/315b1a62ec3efc43575c57a801ad6585.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9df515c375a6cd512dafd680a2f8132e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/154186900500104502219afe07839158.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcd9218a657b17654c5d757a6f7dee9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf87d9d48c3de0a5e9f1a70e51a0bef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a29f7f6294171b824722185447384b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2c80c26a794a844127aae7dee87c93b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2021-12-16更新
|
308次组卷
|
3卷引用:河南省驻马店市确山县第一高级中学2022-2023学年高二上学期数学竞赛试题
2 . 已知
,
(1)若函数
与
在
时有相同的值域,求
的取值范围;
(2)若方程
在
上有两个不同的根
,求
的取值范围,并证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e14c2f347403fb0f36d1549d10ab9f4.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b1d358875baefff9736f2f31c2e28e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae8b0843577a84645d1887c7136e9305.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa482d7bcaa385bfc3548b42a4bfb60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad80c4ba8c593c5edfb167ae4a5f50f5.png)
您最近一年使用:0次
3 . 已知实数x,y满足
,则
的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a075264f0d537d43970e69c6cc755dcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8da9dec2aea8cea60bb4d6dc96efe3db.png)
A.![]() | B.2 | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
4 . 关于x的方程
只有两个不等的实根,则实数a的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7024a03f048d69abce23a60e40ab3df1.png)
您最近一年使用:0次
名校
5 . 已知函数
,若关于
的不等式
恒成立,则实数
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2e00eb39497403529d665467b0add22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/312b003aeee3a8aab75bf9c1778c2572.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2018-07-05更新
|
1070次组卷
|
5卷引用:浙江省绍兴市上虞区2020-2021学年高二上学期竞赛数学试题A组
6 . 已知
,满足
有
恒成立,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad93382ee140e22a17fdd3a262928d33.png)
与
的大小为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/663ec6e81eb495df5c251944f4db0ac8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b3b657ebd1733b4f19dcbec44919924.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad93382ee140e22a17fdd3a262928d33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b390afcca4c8de9e75eac1f5a889b1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7f563d6ccc939e09ff57215a6155fe4.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
7 . 已知
,则函数
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1c4e8f9191c8d2a7d9642dee4005361.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8a97fc0a20640c93960cda1db085c49.png)
A.3 | B.6 | C.13 | D.22 |
您最近一年使用:0次
2016-11-30更新
|
844次组卷
|
6卷引用:2011年辽宁省瓦房店市五校高二上学期竞赛数学理卷