解题方法
1 . 已知函数
.
(1)求
在点
处的切线方程
,并证明
;
(2)若方程
有两个正实数根
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26ba7f6650a47610941b3ce55b896afe.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09b29a7faa14a6e09d0db2d04f4ced03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5c887da0c850acf41ab249cc262ae39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dc6e69ad1a27916fb5c3d5901ded134.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdda91b3f668548adb7ea3b66759f99.png)
(2)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca222b41bc1a04389365b9c06ef55008.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb94fb3646feaf8ef62e76184c1a2655.png)
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2 . 已知函数
.
(1)讨论函数
的单调区间;
(2)若
,
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e465d75e30510d7f3f343a1eaeead24.png)
(1)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1ccb692a97ea01b9847bb3401f8a6e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f79d98acfc3c360265ef06f9e0c81ede.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2017-05-03更新
|
519次组卷
|
2卷引用:山西省临汾一中、忻州一中、长治二中、康杰中学2016-2017学校高二4月联考数学(理)试题
名校
3 . 若函数f(x)=x3+2x2+x+a的零点成等差数列,则a=________
您最近一年使用:0次
4 . 设函数
在
上存在导函数
,对于任意的实数
,都有
,当
时,
,若
,则实数
的取值范围是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a15bccf9756ec716bd5c04e2641b6441.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b364221118df158904dcfd2e25e0cc0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92a7824b5aeb713fe28334532d19963b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d0e4a29e397ec7501da62d8f25c120.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4024e6226f3cac7b8a11bc6a6b2fea8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2017-02-08更新
|
958次组卷
|
2卷引用:2017届山西临汾一中等五校高三文联考三数学试卷
12-13高二下·山西临汾·阶段练习
名校
解题方法
5 . 定义在
上的函数
,满足
为
的导函数,且
,若
,且
,则有
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3959288a87e5f9ffcd687017cf2d081f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ed1bf9844c621022c5c43e86db5a164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0c556b35e2216aeb5b7d8b1b4c140da.png)
A.![]() | B.![]() |
C.![]() | D.不确定 |
您最近一年使用:0次
2013-04-26更新
|
1920次组卷
|
8卷引用:2012-2013年山西曲沃中学高二下学期第一次月考文科数学试卷