已知单位向量
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101025718172281/SYS201311031010257181722015_ST/0.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101025718172281/SYS201311031010257181722015_ST/1.png)
的夹角为
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101025718172281/SYS201311031010257181722015_ST/2.png)
,且
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101025718172281/SYS201311031010257181722015_ST/3.png)
=2
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101025718172281/SYS201311031010257181722015_ST/4.png)
+k
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101025718172281/SYS201311031010257181722015_ST/5.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101025718172281/SYS201311031010257181722015_ST/6.png)
=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101025718172281/SYS201311031010257181722015_ST/7.png)
+
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101025718172281/SYS201311031010257181722015_ST/8.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101025718172281/SYS201311031010257181722015_ST/9.png)
=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101025718172281/SYS201311031010257181722015_ST/10.png)
-2
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101025718172281/SYS201311031010257181722015_ST/11.png)
;
(1)若A,B,D三点共线,求k的值;
(2)是否存在k使得点A、B、D构成直角三角形,若存在,求出k的值,若不存在,说明理由;
(3)若△ABC中角B为钝角,求k的范围.
考点分析:
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