名校
1 . 向量集合
,对于任意
,以及任意
,都有
,则称S为“C类集”,现有四个命题:
①若S为“C类集”,则集合
也是“C类集";
②若S,T都是“C类集”,则集合
也是“C类集”;
③若
,
都是“C类集”,则
也是“C类集”;
④若
,
都是“C类集”,且交集非空,
,也是“C类集”.
其中正确的命题有____________________ (填所有正确命题的序号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41bbea48a9e8cdc6e591bdc85ef6cdda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2cd5b73e6422370539a64e009edb741.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eb6bf23a5a12e1ba5413594d7b1a57c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e756357aaab202398e6cded445f9caeb.png)
①若S为“C类集”,则集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df8ade2d8330ac61c4192cfd1df19fc0.png)
②若S,T都是“C类集”,则集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/194bad922d5bc98b6a7e51ae35f67d54.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2646f41226f24960a6186dc7860ef45.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b76d26b78e63683dfacf10d3da6d74d.png)
其中正确的命题有
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