![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101901835103064/SYS201311031019018351030019_ST/images0.png)
已知函数y=Asin(ωx+φ)(A>0,ω>0,|φ|<π)在一个周期内的图象如图.
(1)求函数的解析式;
(2)求函数的单调递增区间.
考点分析:
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(1)写出与
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101901835103064/SYS201311031019018351030018_ST/0.png)
终边相同角的集合S,并且把S中适合不等式-2π≤β<4π的元素β写出来.
(2)已知
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101901835103064/SYS201311031019018351030018_ST/1.png)
,计算
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101901835103064/SYS201311031019018351030018_ST/2.png)
.
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已知
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101901835103064/SYS201311031019018351030017_ST/0.png)
,
(1)当
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101901835103064/SYS201311031019018351030017_ST/1.png)
与
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101901835103064/SYS201311031019018351030017_ST/2.png)
平行时,求x的值;
(2)当
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101901835103064/SYS201311031019018351030017_ST/3.png)
与
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101901835103064/SYS201311031019018351030017_ST/4.png)
夹角为锐角时,求x的范围.
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关于平面向量
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101901835103064/SYS201311031019018351030016_ST/0.png)
.有下列三个命题:
①若
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101901835103064/SYS201311031019018351030016_ST/1.png)
,则
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101901835103064/SYS201311031019018351030016_ST/2.png)
;
②若
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101901835103064/SYS201311031019018351030016_ST/3.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101901835103064/SYS201311031019018351030016_ST/4.png)
∥
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101901835103064/SYS201311031019018351030016_ST/5.png)
,则k=-3;
③非零向量
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101901835103064/SYS201311031019018351030016_ST/6.png)
和
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101901835103064/SYS201311031019018351030016_ST/7.png)
满足|
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101901835103064/SYS201311031019018351030016_ST/8.png)
|=|
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101901835103064/SYS201311031019018351030016_ST/9.png)
|=|
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101901835103064/SYS201311031019018351030016_ST/10.png)
-
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101901835103064/SYS201311031019018351030016_ST/11.png)
|,则
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101901835103064/SYS201311031019018351030016_ST/12.png)
与
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101901835103064/SYS201311031019018351030016_ST/13.png)
+
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101901835103064/SYS201311031019018351030016_ST/14.png)
的夹角为30°.
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