已知
中,内角A,B,C所对的边分别为a,b,c,且
,
,若点P是边BC上一点,Q是AC的中点,点O是
所在平面内一点,
,则下列说法中正确的命题有______ .(填序号)
①若
,则
;
②若
在
方向上的投影向量为
,则
的最小值为
;
③若点P为BC的中点,则
;
④若
,则
为定值18.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cfd670b36d3987d275102b7fc8d04d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1902376c22f714090ccaadf17365363e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6df40eff7ee933766046dd1aa53ab2a.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0bdc7e895974aaadb1694bca66240ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cb0877450068d69ca658cf1356b57c1.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbaeae7045ad94158cdf5ae97073bc17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a34bf00aeba15bce2cdee8ab487388dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a34bf00aeba15bce2cdee8ab487388dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d9078e5a3c2ca24a0a6f0b67dd83560.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6265f5256804ccaff618cf8c0675eb8e.png)
③若点P为BC的中点,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c35c1a2dedfdc164861036b556fff8ea.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2a84a2aa0743a269c321435431079a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21a099d206e63c961716535825e47a71.png)
更新时间:2023-10-08 20:19:33
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