设f(x)=x
3+ax
2+bx+1的导数f'(x)满足f'(1)=2a,f'(2)=-b,其中常数a,b∈R.
(I)求曲线y=f(x)在点(1,f(1))处的切线方程.
(II)设g(x)=f′(x)e
-x.求函数g(x)的极值.
考点分析:
相关试题推荐
已知向量
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100932045707485/SYS201311031009320457074015_ST/0.png)
(1)若
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100932045707485/SYS201311031009320457074015_ST/1.png)
⊥(
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100932045707485/SYS201311031009320457074015_ST/2.png)
),求tan(α+β)的值;
(2)若
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100932045707485/SYS201311031009320457074015_ST/3.png)
∥
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100932045707485/SYS201311031009320457074015_ST/4.png)
,求tanαtanβ的值.
查看答案
关于x的方程(x
2-4)
2-4|x
2-4|+k=0,给出下列四个命题:
①存在实数k,使得方程恰有2个不同的实根;
②存在实数k,使得方程恰有4个不同的实根;
③存在实数k,使得方程恰有5个不同的实根;
④存在实数k,使得方程恰有6个不同的实根;
⑤存在实数k,使得方程恰有8个不同的实根.
其中真命题的序号是
(写出所有真命题的序号).
查看答案
在△ABC中,角A、B、C所对的边分别为a、b、c,且满足asinB=bcosA,则
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100932045707485/SYS201311031009320457074013_ST/0.png)
的最大值是
.
查看答案
已知向量
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100932045707485/SYS201311031009320457074011_ST/0.png)
与向量
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100932045707485/SYS201311031009320457074011_ST/1.png)
的夹角为120°,若向量
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100932045707485/SYS201311031009320457074011_ST/2.png)
=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100932045707485/SYS201311031009320457074011_ST/3.png)
+
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100932045707485/SYS201311031009320457074011_ST/4.png)
,且
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100932045707485/SYS201311031009320457074011_ST/5.png)
,则
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100932045707485/SYS201311031009320457074011_ST/6.png)
的值为
.
查看答案