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.
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/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
.
查看答案
给出以下四个命题:
①若定义在R上的偶函数f(x)在(0,+∞)上单调递增,则f(x)在(-∞,0)上单调递减;
②函数
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958536629/SYS201311031013419585366012_ST/0.png)
的定义域为R,则k的取值范围是(0,1];
③要得到
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958536629/SYS201311031013419585366012_ST/1.png)
的图象,只需将y=3sin2x的图象左移
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958536629/SYS201311031013419585366012_ST/2.png)
个单位;
④若函数 f(x)=x
3-ax在[1,+∞)上是单调递增函数,则a的最大值是3.
所有正确命题的序号为
.
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定义一种运算S=a⊗b,在框图所表达的算法中揭示了这种运算“⊗”的含义.那么,按照运算“⊗”的含义,计算tan15°⊗tan30°+tan30°⊗tan15°=
.
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