已知函数
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的定义域为集合A,
(1)求A;
(2)若C:{x|x
2-(2a+1)x+a(a+1)<0},C∩A=∅,求实数a的取值范围.
考点分析:
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给出下列四个命题:
①若|x-lgx|<x+|lgx|成立,则x>1;
②若p=a+
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(a>2),q=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101230942017823214/SYS201311012309420178232014_ST/1.png)
(x∈R),则p>q,
③已知
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=|
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|=2,
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与
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的夹角为
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,则
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+
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在
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上的投影为3;
④已知f(x)=asinx-bcosx,(a,b∈R)在x=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101230942017823214/SYS201311012309420178232014_ST/10.png)
处取得最小值,则f(
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101230942017823214/SYS201311012309420178232014_ST/11.png)
-x)=-f(x).
其中正确命题的序号是
.(把你认为正确的命题的序号都填上)
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已知关于x的方程x
2+(2+a)x+1+a+b=0的两根为x
1,x
2,且0<x
1<1<x
2,则
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101230942017823214/SYS201311012309420178232013_ST/0.png)
的取值范围是
.
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已知向量
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101230942017823214/SYS201311012309420178232012_ST/0.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101230942017823214/SYS201311012309420178232012_ST/1.png)
满足|
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101230942017823214/SYS201311012309420178232012_ST/2.png)
|=1,|
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101230942017823214/SYS201311012309420178232012_ST/3.png)
|=2,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101230942017823214/SYS201311012309420178232012_ST/4.png)
与
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101230942017823214/SYS201311012309420178232012_ST/5.png)
的夹角为60°,则|
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101230942017823214/SYS201311012309420178232012_ST/6.png)
-
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|=
.
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三角形ABC中,a,b,c分别是角A,B,C的对边,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101230942017823214/SYS201311012309420178232011_ST/0.png)
,则C的值为
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直线(m-1)x+3y+m=0与直线x+(m+1)y+2=0平行,则实数m=
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