已知函数,f(x)=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225157519573297/SYS201311012251575195732019_ST/0.png)
,数列{a
n}满足a
1=1,a
n+1=f(a
n)(n∈N
*)
(I)求证数列{
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225157519573297/SYS201311012251575195732019_ST/1.png)
}是等差数列,并求数列{a
n}的通项公式;
(II)记S
n=a
1a
2+a
2a
3+..a
na
n+1,求S
n.
考点分析:
相关试题推荐
已知锐角△ABC中的内角A、B、C的对边分别为a,b,c,定义向量
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225157519573297/SYS201311012251575195732018_ST/0.png)
.
(1)求函数f(x)=sin2xcosB-cos2xsinB的单调递增区间;
(2)如果b=2,求△ABC的面积的最大值.
查看答案
已知曲线C是到定点M(-2,0)距离除以到定点N(0,2)的距离商为
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225157519573297/SYS201311012251575195732017_ST/0.png)
的点的轨迹,直线l过点A(-1,2)且被曲线C截得的线段长为2
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225157519573297/SYS201311012251575195732017_ST/1.png)
,求曲线C和直线l的方程.
查看答案
设函数f(x)=cos(
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225157519573297/SYS201311012251575195732016_ST/0.png)
)-cos
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225157519573297/SYS201311012251575195732016_ST/1.png)
.
(Ⅰ)求f(x)的最小正周期;
(Ⅱ)求函数y=f(-2-x)在[0,2]上的值域.
查看答案
在下列命题中:
①命题“∀x∈R,x
2+x+1≤0”的否定是“”∃x∉R,X
2+1+1≥0;
②当x∈(0,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225157519573297/SYS201311012251575195732015_ST/0.png)
)时,函数y=sinx+
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225157519573297/SYS201311012251575195732015_ST/1.png)
的最小值为2;
③若命题“┐p”与命题“p或q”都是真命题,则命题q一定是真命题;
④三个数6
0.7,log
0.76的大小顺序是6
0.7>0.7
6>log
0.76
其中正确命题的序号是
.
查看答案
已知曲线
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225157519573297/SYS201311012251575195732014_ST/0.png)
+
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225157519573297/SYS201311012251575195732014_ST/1.png)
=1,当m∈[-2,-1]时,该曲线的离心率e的取值范围是
.
查看答案