设命题p:函数f(x)=lg
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225403916083748/SYS201311012254039160837021_ST/0.png)
的定义域是R;命题q:不等式3
x-9
x<a对一切正实数x均成立.
(1)如果p是真命题,求实数a的取值范围;
(2)如果“p或q”为真命题,命题“p且q”为假命题,求实数a的取值范围.
考点分析:
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(3)当鱼群的年增长量达到最大值值时,求k的取值范围.
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在锐角△ABC中,a,b,c分别是角A、B、C的对边,P=(a+c,b),Q=(c-a,b-c),且p⊥q.
(1)求A的大小;
(2)记
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的值域.
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已知向量
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225403916083748/SYS201311012254039160837018_ST/0.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225403916083748/SYS201311012254039160837018_ST/1.png)
满足|
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225403916083748/SYS201311012254039160837018_ST/2.png)
|=1,|
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225403916083748/SYS201311012254039160837018_ST/3.png)
|=2,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225403916083748/SYS201311012254039160837018_ST/4.png)
与
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225403916083748/SYS201311012254039160837018_ST/5.png)
的夹角为60°,向量
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225403916083748/SYS201311012254039160837018_ST/6.png)
=2
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225403916083748/SYS201311012254039160837018_ST/7.png)
+
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225403916083748/SYS201311012254039160837018_ST/8.png)
.
(1)求
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的模;
(2)若向量
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225403916083748/SYS201311012254039160837018_ST/10.png)
=m
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225403916083748/SYS201311012254039160837018_ST/11.png)
-
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225403916083748/SYS201311012254039160837018_ST/12.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225403916083748/SYS201311012254039160837018_ST/13.png)
∥
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225403916083748/SYS201311012254039160837018_ST/14.png)
,求实数m的值.
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(1)已知复数z满足
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225403916083748/SYS201311012254039160837017_ST/0.png)
,求复数z.
(2)解关于x的不等式
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225403916083748/SYS201311012254039160837017_ST/1.png)
.
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如果有穷数列a
1,a
2,…,a
m(m为正整数)满足条件:a
1=a
m,a
2=a
m-1,…,a
m=a
1则称其为“对称”数列.例如数列1,2,5,2,1与数列8,4,2,4,8都是“对称”数列.已知在21项的“对称”数列{c
n}中c
11,c
12,…,c
21是以1为首项,2为公差的等差数列,则数列{c
n}的所有项的和
.
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