已知函数
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101231010860640668/SYS201311012310108606406015_ST/0.png)
,其中
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101231010860640668/SYS201311012310108606406015_ST/1.png)
=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101231010860640668/SYS201311012310108606406015_ST/2.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101231010860640668/SYS201311012310108606406015_ST/3.png)
.
(1)求函数f(x)在区间
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101231010860640668/SYS201311012310108606406015_ST/4.png)
上的单调递增区间和值域;
(2)在△ABC中,a、b、c分别是角A、B、C 的对边,f(A)=-1,且b=1△ABC的面积
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101231010860640668/SYS201311012310108606406015_ST/5.png)
,求边a的值.
考点分析:
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下面给出的四个命题中:
①对任意的n∈N*,点P
n(n,a
n)都在直线y=2x+1上是数列a
n为等差数列的充分不必要条件;
②“m=-2”是直线(m+2)x+my+1=0与“直线(m-2)x+(m+2)y-3=0相互垂直”的必要不充分条件;
③设圆x
2+y
2+Dx+Ey+F=0(D
2+E
2-4F>0)与坐标轴有4个交点A(x
1,0),B(x
2,0),C(0,y
1),D(0,y
2),则有x
1x
2-y
1y
2=0;
④将函数y=cos2x的图象向右平移
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101231010860640668/SYS201311012310108606406014_ST/0.png)
个单位,得到函数
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101231010860640668/SYS201311012310108606406014_ST/1.png)
的图象.
其中是真命题的有
(将你认为正确的序号都填上).
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若任意满足
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101231010860640668/SYS201311012310108606406013_ST/0.png)
的实数x,y,不等式a(x
2+y
2)≤(x+y)
2恒成立,则实数a的最大值是
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已知抛物线y
2=4x与直线2x+y-4=0相交于A、B两点,抛物线的焦点为F,那么
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101231010860640668/SYS201311012310108606406012_ST/0.png)
=
.
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若命题“存在实数x,使x
2+ax+1<0”的否定是假命题,则实数a的取值范围为
.
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