名校
1 . 已知函数
.
(1)若
在
处导数相等,证明:
;
(2)若对于任意
,直线
与曲线
都有唯一公共点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e6fb3c50080dfa36a00735050bd810f.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e6fb3c50080dfa36a00735050bd810f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d827ce4601cc0d39b2e358bd306b1cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56438a6ef1827e37d26e8a3a26f8eafe.png)
(2)若对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced5f589f3fb7f7c1309160fb3407de6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b5324645d81b339fa25ccb2951f77e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db40d5295942e85ec07a3728c7ad308d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
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2018-10-12更新
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2303次组卷
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4卷引用:2019年全国高中数学联赛甘肃省预赛