填空题-单空题 较易0.85 引用3 组卷915
在实数集R中,我们定义的大小关系“>”为全体实数排了一个“序”.类似的,我们在平面向量集
上也可以定义一个称“序”的关系,记为“
”.定义如下:对于任意两个向量
,“
”当且仅当“
”或“
”.按上述定义的关系“
”,给出如下四个命题:
①若
,则
;
②若
,则
;
③若
,则对于任意
;
④对于任意向量
,若
,则
.
其中真命题的序号为__________
![](https://img.xkw.com/dksih/QBM/2015/4/22/1572081100144640/1572081106124800/STEM/b821ac9dec7c462690443f2689fd0714.png?resizew=197)
![](https://img.xkw.com/dksih/QBM/2015/4/22/1572081100144640/1572081106124800/STEM/e90d06b43a9e46168ef27dd4becc9431.png?resizew=23)
![](https://img.xkw.com/dksih/QBM/2015/4/22/1572081100144640/1572081106124800/STEM/f916bc67006b4363aa0a80e96332be4b.png?resizew=141)
![](https://img.xkw.com/dksih/QBM/2015/4/22/1572081100144640/1572081106124800/STEM/bdc2d747122f4922a1647360d5785d35.png?resizew=57)
![](https://img.xkw.com/dksih/QBM/2015/4/22/1572081100144640/1572081106124800/STEM/cba9f8379e5847df96258aa61d04cbdd.png?resizew=47)
![](https://img.xkw.com/dksih/QBM/2015/4/22/1572081100144640/1572081106124800/STEM/c4c5198f1bc747c6ba30deb1173a36d9.png?resizew=103)
![](https://img.xkw.com/dksih/QBM/2015/4/22/1572081100144640/1572081106124800/STEM/e90d06b43a9e46168ef27dd4becc9431.png?resizew=23)
①若
![](https://img.xkw.com/dksih/QBM/2015/4/22/1572081100144640/1572081106124800/STEM/59e54485217243c3b1d4b71d613c91fe.png?resizew=188)
![](https://img.xkw.com/dksih/QBM/2015/4/22/1572081100144640/1572081106124800/STEM/39cf3b07dc1d4e34a12a19a65f34e4f9.png?resizew=89)
②若
![](https://img.xkw.com/dksih/QBM/2015/4/22/1572081100144640/1572081106124800/STEM/39ab310b2c144548bf6c3511de96ae5a.png?resizew=117)
![](https://img.xkw.com/dksih/QBM/2015/4/22/1572081100144640/1572081106124800/STEM/8ed74189b2bb416c8a5b4ae6180c2848.png?resizew=57)
③若
![](https://img.xkw.com/dksih/QBM/2015/4/22/1572081100144640/1572081106124800/STEM/bdc2d747122f4922a1647360d5785d35.png?resizew=57)
![](https://img.xkw.com/dksih/QBM/2015/4/22/1572081100144640/1572081106124800/STEM/2f62aaa944cb454b962fa7a807198802.png?resizew=143)
④对于任意向量
![](https://img.xkw.com/dksih/QBM/2015/4/22/1572081100144640/1572081106124800/STEM/9f57304acdcb4cbda68bfbbaedfa424d.png?resizew=108)
![](https://img.xkw.com/dksih/QBM/2015/4/22/1572081100144640/1572081106124800/STEM/bdc2d747122f4922a1647360d5785d35.png?resizew=57)
![](https://img.xkw.com/dksih/QBM/2015/4/22/1572081100144640/1572081106124800/STEM/9bde109d5d82430d9e198047d0581151.png?resizew=80)
其中真命题的序号为
2014·山东烟台·一模
类题推荐
在实数集
中,我们定义的大小关系“>”为全体实数排了一个“序”.类似实数排序的定义,我们定义“点序”,记为“
”:已知
,
,
,当且仅当“
”或“
且
”.定义两点的“
”与“
”运算:
,
.则下列说法正确的是( )
A.若 |
B.若 |
C.若 |
D.若 |
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