名校
1 . 已知关于x的函数
.
(1)若函数
是R上的偶函数,求实数k的值;
(2)若函数
,当
时,
恒成立,求实数k的取值范围;
(3)若函数
,且函数
在
上有两个不同的零点
,
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d419c1e3e760a87e3b55ae5f20c8f896.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f1d91cf3098f05273bde56f0969ed5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71bb7883ea87e6275472dbe14ee62357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1a2c01ac2a7f6ad7e03cb7a61daefab.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c29f92d4a6ba7e9b6624058f54ca2759.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa482d7bcaa385bfc3548b42a4bfb60.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/ad80c4ba8c593c5edfb167ae4a5f50f5.png)
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2020-12-31更新
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2卷引用:湖南省益阳市第十五中学2020-2021学年高一上学期12月质量检测数学试题