解题方法
1 . 已知函数
为常数.
(1)求
的单调区间和极值;
(2)设
的两个零点分别为
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d16b3d8174aafa015e2ef9bd4fd6d6bf.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03ca13a93b5f401c0d39ba52b0cffcb0.png)
您最近一年使用:0次
2022-10-01更新
|
451次组卷
|
2卷引用:海南省海口市海南昌茂花园学校2023届高三上学期第二次月考数学试题
名校
解题方法
2 . 已知函数
.
(1)求函数
的最值;
(2)若
恒成立,求实数
的取值范围;
(3)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d975f2328f11c8ddbb2f1e814788c85.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf15d5dc12f45c0bacf402c97728124c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/350c094513823113225bbb6625529551.png)
您最近一年使用:0次
2022-09-09更新
|
790次组卷
|
3卷引用:海南省海口中学2023届高三上学期9月摸底考试数学试题
解题方法
3 . 已知函数
.
(1)若
在
上单调递增,求a的取值范围;
(2)当
时,设
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/570b6f9a08be03589c8ac5fc4e06d0b4.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d6243e93c41978871cb23d8e66148d.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d33da711e50e96568facb18cef27165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/459d4fd718865a67559c3b6a179b8ef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd8152c197cf4b13a50e64b463401888.png)
您最近一年使用:0次
4 . 已知函数
.
(1)若
,证明:
;
(2)若
有两个不同的零点,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6832e36232df491cb74747c7f0e91228.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96ae6d5e25c5bc3afe1ca6d86c219a2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d96955796f392b93bfe98e749a0578d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f6bfdb24ecf5da863405c2b40936ff9.png)
您最近一年使用:0次
12-13高二上·湖南永州·期末
5 . 已知函数
在
上为增函数,函数
在
上为减函数.
(1)分别求出函数
和
的导函数;
(2)求实数
的值;
(3)求证:当
时,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4313c84f1cee92ca73a3760115dd59de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d6243e93c41978871cb23d8e66148d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9ec851189d66f02e709d7c004219849.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab03556c333ab0b55fe86c937b2a5763.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d6243e93c41978871cb23d8e66148d.png)
(1)分别求出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(2)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)求证:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44f9546e8b98e6fbb6f3d5c720a8d85e.png)
您最近一年使用:0次