设f(x)的定义域为
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958536629/SYS201311031013419585366018_ST/0.png)
,且
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958536629/SYS201311031013419585366018_ST/1.png)
,f(x)为奇函数,当
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958536629/SYS201311031013419585366018_ST/2.png)
时,f(x)=3
x.
(1)求
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958536629/SYS201311031013419585366018_ST/3.png)
;
(2)当
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958536629/SYS201311031013419585366018_ST/4.png)
时,求f(x)的表达式;
(3)是否存在这样的正整数k,使得当
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958536629/SYS201311031013419585366018_ST/5.png)
时,关于x的不等式
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958536629/SYS201311031013419585366018_ST/6.png)
有解?
考点分析:
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已知向量
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958536629/SYS201311031013419585366017_ST/0.png)
=(sin2x,cos2x),向量
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958536629/SYS201311031013419585366017_ST/1.png)
=
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,f(x)=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958536629/SYS201311031013419585366017_ST/3.png)
•
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,
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(Ⅰ)试用“五点作图法”作出函数y=f(x)的图象;
(Ⅱ)(ⅰ) 若-1<f(x)<0,求x的取值范围;
(ⅱ)若方程f(x)=a(-1<a<0)的两根分别为x
1,x
2,试求sin(x
1+x
2)的值.
查看答案
已知函数f(x)=kx+b的图象与x,y轴分别相交于点A、B,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958536629/SYS201311031013419585366016_ST/0.png)
(
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958536629/SYS201311031013419585366016_ST/1.png)
分别是与x,y轴正半轴同方向的单位向量),函数g(x)=x
2-x-6.
(1)求k,b的值;
(2)当x满足f(x)>g(x)时,求函数
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958536629/SYS201311031013419585366016_ST/2.png)
的最小值.
查看答案
已知向量
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958536629/SYS201311031013419585366015_ST/0.png)
=(cos
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958536629/SYS201311031013419585366015_ST/1.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958536629/SYS201311031013419585366015_ST/2.png)
=(cos
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958536629/SYS201311031013419585366015_ST/3.png)
,且x∈[-
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958536629/SYS201311031013419585366015_ST/4.png)
].
(1)求
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958536629/SYS201311031013419585366015_ST/5.png)
•
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958536629/SYS201311031013419585366015_ST/6.png)
及|
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958536629/SYS201311031013419585366015_ST/7.png)
+
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958536629/SYS201311031013419585366015_ST/8.png)
|;
(2)若f(x)=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958536629/SYS201311031013419585366015_ST/9.png)
•
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958536629/SYS201311031013419585366015_ST/10.png)
-|
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958536629/SYS201311031013419585366015_ST/11.png)
+
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958536629/SYS201311031013419585366015_ST/12.png)
|,求f(x)的最大值和最小值.
查看答案
已知全集U=R,集合A={x||x-2|<1},集合
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958536629/SYS201311031013419585366014_ST/0.png)
.
(1)求A,B;
(2)求(∁
UA)∩B.
查看答案
定义min{a,b}=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958536629/SYS201311031013419585366013_ST/0.png)
,若f(x)=min{
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958536629/SYS201311031013419585366013_ST/1.png)
,a-x
2}的最大值为3,则a等于
.
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