1 . 设函数
(
).
(1)讨论
的单调性;
(2)如果
有两个极值点
和
,我们记过点
的直线斜率为
.问:是否存在
,使得
?若存在,求出
的值,若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cff4255bff210170362868e710db87ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/450669619f798d4e05e3f67f72f34282.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.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/2de0de3129f0c484d2542e4d0810cbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b680c9cf0ac2e7aed2f445597eb47446.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2019-01-28更新
|
686次组卷
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2卷引用:2018年全国高中数学联赛甘肃省预赛
2 . 已知函数
.
(1)设实数k使得
恒成立,求k的取值范围.
(2)设
.若函数
在区间
内有两个零点,求k的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f53f81bca037a4383c1fab122a3cd3d.png)
(1)设实数k使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5df785db9176182d55ffac97bfa3f29.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f094456ccfcfba13838e3a97f77b319.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08d9a096b1253a0d451a949027e65e77.png)
您最近一年使用:0次
2018-12-04更新
|
261次组卷
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3卷引用:2016年全国高中数学联赛甘肃赛区预赛试题
3 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51866bf4c9401ec9529d6ff9643a2a28.png)
(1)若函数
在区间
上为单调增函数,求
的取值范围;
(2)设
,证明:
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51866bf4c9401ec9529d6ff9643a2a28.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ab5e0524def52baf53480b8726784ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66eba129d92ede31b728e2590c4db2a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79c425d7c4fd26e00592c3fa09f4d4f8.png)
您最近一年使用:0次
2018-12-06更新
|
177次组卷
|
2卷引用:2015年全国高中数学联赛甘肃赛区预赛试题