题目内容
数列
中,
N*),数列
中,
N*),已知点![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115317310823.gif)
则向量
的坐标为( )
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115317076377.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115317122715.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115317138377.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115317185789.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115317310823.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115317325196.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115317356696.gif)
A.![]() | B.![]() |
C.![]() | D.![]() |
B
由
得![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115317637355.gif)
,所以数列
是等差数列.又
,
,可得该数列的公差
.又由
得![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115317887354.gif)
,所以数列
是等比数列.又
,
,可得该数列的公比
.由题意,
,
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115318121848.gif)
所以![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408231153182141375.gif)
,其中![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115318292811.gif)
.
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115318464940.gif)
,
而
是以
为首项,公比为
的等比数列,
是以
为首项,公比为
的等比数列.
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115318760813.gif)
.
于是所求和向量的坐标为
.
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115317606489.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115317637355.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115317668408.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115317746263.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115317793245.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115317809279.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115317840340.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115317856519.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115317887354.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115317902404.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115317918263.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115317996266.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115318012247.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115318043283.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115318058628.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115318090675.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115318121848.gif)
所以
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408231153182141375.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115318230685.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115318292811.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115318370570.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115318464940.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115318495540.gif)
而
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115318526468.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115318542263.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115318620221.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115318667477.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115318682278.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115318620221.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115318760813.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408231153188231423.gif)
于是所求和向量的坐标为
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115318838811.gif)
![](http://thumb.zyjl.cn/images/loading.gif)
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