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已知各项均不为零的数列{an},定义向量,,n∈N*.下列命题中真命题是( ) ...
已知各项均不为零的数列{a
n},定义向量
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101901835531890/SYS201311031019018355318011_ST/0.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101901835531890/SYS201311031019018355318011_ST/1.png)
,n∈N
*.下列命题中真命题是( )
A.若∀n∈N
*总有
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101901835531890/SYS201311031019018355318011_ST/2.png)
∥
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101901835531890/SYS201311031019018355318011_ST/3.png)
成立,则数列{a
n}是等差数列
B.若∀n∈N
*总有
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101901835531890/SYS201311031019018355318011_ST/4.png)
∥
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101901835531890/SYS201311031019018355318011_ST/5.png)
成立,则数列{a
n}是等比数列
C.若∀n∈N
*总有
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101901835531890/SYS201311031019018355318011_ST/6.png)
⊥
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101901835531890/SYS201311031019018355318011_ST/7.png)
成立,则数列{a
n}是等差数列
D.若∀n∈N
*总有
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101901835531890/SYS201311031019018355318011_ST/8.png)
⊥
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101901835531890/SYS201311031019018355318011_ST/9.png)
成立,则数列{a
n}是等比数列
考点分析:
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