题目内容
已知![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131024183738604250959/SYS201310241837386042509014_ST/0.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131024183738604250959/SYS201310241837386042509014_ST/1.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131024183738604250959/SYS201310241837386042509014_ST/2.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131024183738604250959/SYS201310241837386042509014_ST/3.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131024183738604250959/SYS201310241837386042509014_ST/4.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131024183738604250959/SYS201310241837386042509014_ST/5.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131024183738604250959/SYS201310241837386042509014_ST/6.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131024183738604250959/SYS201310241837386042509014_ST/7.png)
A.2
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131024183738604250959/SYS201310241837386042509014_ST/8.png)
B.
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131024183738604250959/SYS201310241837386042509014_ST/9.png)
C.
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131024183738604250959/SYS201310241837386042509014_ST/10.png)
D.
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131024183738604250959/SYS201310241837386042509014_ST/11.png)
【答案】分析:由题意可得:
•
=6,并且得到
=
,再结合求模公式得到
,进而求出答案.
解答:解:因为
,
,
与
的夹角为
,
所以
•
=6.
又因为
,
,
所以
=
,
所以
=
=
.
故选B.
点评:本题主要考查向量的数量积运算,以及向量的求模公式
,此题解决的小窍门是不要直接运用公式,而是结合题意首先得到
=
,再利用求模公式,这样可以减少计算量,此题属于基础题.
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131024183738604250959/SYS201310241837386042509014_DA/0.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131024183738604250959/SYS201310241837386042509014_DA/1.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131024183738604250959/SYS201310241837386042509014_DA/2.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131024183738604250959/SYS201310241837386042509014_DA/3.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131024183738604250959/SYS201310241837386042509014_DA/4.png)
解答:解:因为
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131024183738604250959/SYS201310241837386042509014_DA/5.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131024183738604250959/SYS201310241837386042509014_DA/6.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131024183738604250959/SYS201310241837386042509014_DA/7.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131024183738604250959/SYS201310241837386042509014_DA/8.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131024183738604250959/SYS201310241837386042509014_DA/9.png)
所以
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131024183738604250959/SYS201310241837386042509014_DA/10.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131024183738604250959/SYS201310241837386042509014_DA/11.png)
又因为
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131024183738604250959/SYS201310241837386042509014_DA/12.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131024183738604250959/SYS201310241837386042509014_DA/13.png)
所以
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131024183738604250959/SYS201310241837386042509014_DA/14.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131024183738604250959/SYS201310241837386042509014_DA/15.png)
所以
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131024183738604250959/SYS201310241837386042509014_DA/16.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131024183738604250959/SYS201310241837386042509014_DA/17.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131024183738604250959/SYS201310241837386042509014_DA/18.png)
故选B.
点评:本题主要考查向量的数量积运算,以及向量的求模公式
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131024183738604250959/SYS201310241837386042509014_DA/19.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131024183738604250959/SYS201310241837386042509014_DA/20.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131024183738604250959/SYS201310241837386042509014_DA/21.png)
![](http://thumb.zyjl.cn/images/loading.gif)
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