已知
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225833098069447/SYS201311012258330980694015_ST/0.png)
=(6,1),
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225833098069447/SYS201311012258330980694015_ST/1.png)
=(-2,-3),设
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225833098069447/SYS201311012258330980694015_ST/2.png)
=(x,y)(Ⅰ)若四边形ABCD为梯形,求x、y间的函数的关系式;(Ⅱ)若以上梯形的对角线互相垂直,求
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225833098069447/SYS201311012258330980694015_ST/3.png)
.
考点分析:
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(1)已知tanα=-2,且α是第二象限的角,求sinα和cosα;
(2)已知
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225833098069447/SYS201311012258330980694014_ST/0.png)
,求
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的值.
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下面有5个命题:
①分针每小时旋转2π弧度; ②函数
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225833098069447/SYS201311012258330980694013_ST/0.png)
是奇函数;
③若
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225833098069447/SYS201311012258330980694013_ST/1.png)
,且x+y=1,则A,B,C三点共线;
④在同一坐标系中,函数y=sinx的图象和函数y=x的图象有三个公共点;
⑤在△ABC中,若sinA=sinB,则A=B.
其中,真命题的编号是
(写出所有真命题的编号)
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已知
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225833098069447/SYS201311012258330980694012_ST/0.png)
=(3,4),
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225833098069447/SYS201311012258330980694012_ST/1.png)
=1,则|
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225833098069447/SYS201311012258330980694012_ST/2.png)
|的取值范围是
.
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已知α,β∈(-
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225833098069447/SYS201311012258330980694011_ST/0.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225833098069447/SYS201311012258330980694011_ST/1.png)
),且tanα,tanβ是方程x
2+3
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225833098069447/SYS201311012258330980694011_ST/2.png)
x+4=0的两个根,则α+β=
.
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