已知函数f(x)=x
2ln|x|,
(Ⅰ)判断函数f(x)的奇偶性;
(Ⅱ)求函数f(x)的单调区间;
(Ⅲ)若关于x的方程f(x)=kx-1有实数解,求实数k的取值范围.
考点分析:
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如图为一简单组合体,其底面ABCD为正方形,PD⊥平面ABCD,EC∥PD,且PD=2EC,
(1)求证:BE∥平面PDA;
(2)若N为线段PB的中点,求证:EN⊥平面PDB;
(3)若
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,求平面PBE与平面ABCD所成的二面角的大小.
查看答案
已知数列{a
n}的首项a
1=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100716252808108/SYS201311031007162528081018_ST/0.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100716252808108/SYS201311031007162528081018_ST/1.png)
,其中n∈N
+.
(Ⅰ)求证:数列{
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100716252808108/SYS201311031007162528081018_ST/2.png)
}为等比数列;
(Ⅱ)记S
n=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100716252808108/SYS201311031007162528081018_ST/3.png)
,若S
n<100,求最大的正整数n.
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在△ABC中,角A,B,C所对的边分别为a,b,c,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100716252808108/SYS201311031007162528081017_ST/0.png)
.
(I)求cosB的值;
(II)若a=3,b=2
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100716252808108/SYS201311031007162528081017_ST/1.png)
,求c的值.
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已知O是△ABC的外心,AB=2,AC=1,∠BAC=120°.设
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100716252808108/SYS201311031007162528081016_ST/0.png)
=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100716252808108/SYS201311031007162528081016_ST/1.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100716252808108/SYS201311031007162528081016_ST/2.png)
=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100716252808108/SYS201311031007162528081016_ST/3.png)
,若
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100716252808108/SYS201311031007162528081016_ST/4.png)
=m
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+n
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,则m-n=
.
查看答案
若不等式a(2x
2+y
2)≥x
2+2xy对任意非零实数x,y恒成立,则实数a的最小值为
.
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