题目内容
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131103103646591082386/SYS201311031036465910823001_ST/0.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131103103646591082386/SYS201311031036465910823001_ST/1.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131103103646591082386/SYS201311031036465910823001_ST/2.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131103103646591082386/SYS201311031036465910823001_ST/3.png)
A.
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131103103646591082386/SYS201311031036465910823001_ST/4.png)
B.
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131103103646591082386/SYS201311031036465910823001_ST/5.png)
C.-2
D.2
【答案】分析:由向量的坐标运算可得
与
的坐标,由共线可得
,解之代入可得答案.
解答:解:由题意可得
=(m+2n,2m-3n),
=(-3,8),
因为
与
共线,所以
=λ(
),
故
,解得
,
故
=
=
,
故选A
点评:本题考查平行向量与共线向量,涉及方程组的解法,属基础题.
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131103103646591082386/SYS201311031036465910823001_DA/0.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131103103646591082386/SYS201311031036465910823001_DA/1.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131103103646591082386/SYS201311031036465910823001_DA/2.png)
解答:解:由题意可得
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131103103646591082386/SYS201311031036465910823001_DA/3.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131103103646591082386/SYS201311031036465910823001_DA/4.png)
因为
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131103103646591082386/SYS201311031036465910823001_DA/5.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131103103646591082386/SYS201311031036465910823001_DA/6.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131103103646591082386/SYS201311031036465910823001_DA/7.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131103103646591082386/SYS201311031036465910823001_DA/8.png)
故
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131103103646591082386/SYS201311031036465910823001_DA/9.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131103103646591082386/SYS201311031036465910823001_DA/10.png)
故
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131103103646591082386/SYS201311031036465910823001_DA/11.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131103103646591082386/SYS201311031036465910823001_DA/12.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131103103646591082386/SYS201311031036465910823001_DA/13.png)
故选A
点评:本题考查平行向量与共线向量,涉及方程组的解法,属基础题.
![](http://thumb.zyjl.cn/images/loading.gif)
练习册系列答案
相关题目