名校
1 . 已知函数
,其中
.
(1)讨论
的单调性;
(2)若
有两个极值点
,且
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab1009335ff006785dc8acaf2b955f34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](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/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de11c4103b6b4f702ff0728f2a6161fe.png)
您最近一年使用:0次
名校
解题方法
2 . 已知函数
.
(1)若
且函数
在
上是单调递增函数,求
的取值范围;
(2)设
的导函数为
,若
满足
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5633e40c35e8be1db5361044bfd74ac.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/143b917df0520097be222accbddf9394.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72728cdc6b1c5521eeba55ca804d2d74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfe299acc679f151fbe61ecda04d1662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb8a229cc42ec3bc9c5e68523cf5ebbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04bbbf510a09b09b85a0cefb9202d13e.png)
您最近一年使用:0次
2022-12-09更新
|
1743次组卷
|
6卷引用:湖北省十一校2023届高三上学期12月第一次联考数学试题
名校
解题方法
3 . 已知函数
在区间
上有定义,实数a、b满足
.若
在区间
上不存在最小值,则称函数
在区间
上具有性质P.
(1)若函数
在区间
上具有性质P,求实数m的取值范围;
(2)已知函数
满足
,且当
时,
.试判断函数
在区间
上是否具有性质P,并说明理由;
(3)已知对满足
的任意实数a、b,函数
在区间
上均具有性质P,且对任意正整数n,当
时,均有
.证明:当
时,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed6d804ef44bfc64f824b0ccef71765e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1accdaf7d28bf884e8a044a8960190ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/152e7be0c0054be3a8d537ef39d35da7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/152e7be0c0054be3a8d537ef39d35da7.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dba30da31016b52e349829e037e276e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/337a23f9bf790be6e03b88fb2d03f18b.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c932c7ae059e4d1c86ac9693fbd8eb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edc0e849b72357de1cdf719a7ed5f1bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29e44284cb19805a584880a686ac3df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74440ee5b3fe9565f3cb09ac36998096.png)
(3)已知对满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1accdaf7d28bf884e8a044a8960190ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/152e7be0c0054be3a8d537ef39d35da7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/747bb1e652f51285f336b2950d278de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/818555e6a7e7c9578f62d8031b28b60c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/636289ad84b4a3a51095dd32ca201f94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5eededbad4fb635689b3bb404e59a3ba.png)
您最近一年使用:0次
2023-01-05更新
|
765次组卷
|
2卷引用:上海市曹杨第二中学2022-2023学年高一上学期期末数学试题