名校
1 . 设函数
,
.
(1)求函数
的单调区间;
(2)若方程
有两个不相等的实数根
、
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd468a555d0651540a1328047325d4eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b0104b0f55b45d14cf478c11589eb39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f13e5c66b641e6f5bfddff5d1997a34.png)
您最近一年使用:0次
2021-08-22更新
|
1706次组卷
|
6卷引用:黑龙江省嫩江市高级中学2021-2022学年高三上学期9月月考数学(理)试题
名校
解题方法
2 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5724f9bdde10bc7ca69ae333f2378d74.png)
(1)若
在
上单调,求
的取值范围;
(2)若
在
上有极小值
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5724f9bdde10bc7ca69ae333f2378d74.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e4a226feca9d9095b0f68191245ed22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e4a226feca9d9095b0f68191245ed22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01b3ae7e5228fd1acb0d46f6941143a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a20756795bbf1f0fc02e5a9a3981f112.png)
您最近一年使用:0次
2021-08-24更新
|
506次组卷
|
4卷引用:黑龙江省嫩江市高级中学2021-2022学年高三上学期9月月考数学(文)试题
名校
3 . 已知函数
.
(1)讨论
的单调区间;
(2)当
时,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58cee3ddfbda681e2c3819f51767e46a.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e10e1c43b86a8cd4360ca9b57232164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6519fbb37ac9e38497c5ce91d1f0ae3f.png)
您最近一年使用:0次
2020-11-22更新
|
716次组卷
|
6卷引用:黑龙江省嫩江市高级中学2020-2021学年高三上学期12月月考数学(文)试题
名校
4 . 已知函数
.
(1)求证:
;
(2)用
表示
中的最大值,记
,讨论函数
零点的个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/900bff49ad93eb8785a7efbb3824f22e.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07187f8a12befe8899ec8f306ab05ce8.png)
(2)用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad213c5e3744cc472ffca85a6a87dd82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cd5371a6f0f82c65dd22f75f8b807c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7225c625819b7bfeb393a377ec2d74a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
您最近一年使用:0次
2019-04-26更新
|
624次组卷
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7卷引用:黑龙江省黑河市嫩江市高级中学2020-2021学年高三上学期期中数学(理)试题