9.
O是面α上一定点,A,B,C是面α上△ABC的三个顶点,∠B,∠C分别是边AC,AB的对角.以下命题正确的是
______
.(把你认为正确的序号全部写上)
①动点P满足
![](https://www.ebk.net.cn/tikuimages/2/2016/500/shoutiniao86/86fa06c4ea5a5df8da66ececf31c889a.png)
=
![](https://www.ebk.net.cn/tikuimages/2/2016/500/shoutiniao45/82d665469e2bb6eb213be3eaeb06f321.png)
+
![](https://www.ebk.net.cn/tikuimages/2/2016/500/shoutiniao59/aaa3d9390bf226c6fe58bd616ed535ce.png)
+
![](https://www.ebk.net.cn/tikuimages/2/2016/500/shoutiniao8/5fa0e80b975c670052b591b82c58d2b5.png)
,则△ABC的外心一定在满足条件的P点集合中;
②动点P满足
![](https://www.ebk.net.cn/tikuimages/2/2016/500/shoutiniao86/86fa06c4ea5a5df8da66ececf31c889a.png)
=
![](https://www.ebk.net.cn/tikuimages/2/2016/500/shoutiniao45/82d665469e2bb6eb213be3eaeb06f321.png)
+λ(
![](https://www.ebk.net.cn/tikuimages/2/2016/500/shoutiniao75/53264f4237c909284ee2fffceb1508eb.png)
+
![](https://www.ebk.net.cn/tikuimages/2/2016/500/shoutiniao4/3be9df4fe650b8868010f39dc476e126.png)
)(λ>0),则△ABC的内心一定在满足条件的P点集合中;
③动点P满足
![](https://www.ebk.net.cn/tikuimages/2/2016/500/shoutiniao86/86fa06c4ea5a5df8da66ececf31c889a.png)
=
![](https://www.ebk.net.cn/tikuimages/2/2016/500/shoutiniao45/82d665469e2bb6eb213be3eaeb06f321.png)
+λ(
![](https://www.ebk.net.cn/tikuimages/2/2016/500/shoutiniao78/61f99d6e60ebfa11ac4c0a424ae8d0e5.png)
+
![](https://www.ebk.net.cn/tikuimages/2/2016/500/shoutiniao66/854220c66258f77e2243d20ad8ab41c1.png)
)(λ>0),则△ABC的重心一定在满足条件的P点集合中;
④动点P满足
![](https://www.ebk.net.cn/tikuimages/2/2016/500/shoutiniao86/86fa06c4ea5a5df8da66ececf31c889a.png)
=
![](https://www.ebk.net.cn/tikuimages/2/2016/500/shoutiniao45/82d665469e2bb6eb213be3eaeb06f321.png)
+λ(
![](https://www.ebk.net.cn/tikuimages/2/2016/500/shoutiniao88/96b3b23bd3efd717e382b6b622ca2b62.png)
+
![](https://www.ebk.net.cn/tikuimages/2/2016/500/shoutiniao10/62b169bcc06b3030cb717977979db890.png)
)(λ>0),则△ABC的垂心一定在满足条件的P点集合中.
⑤动点P满足
![](https://www.ebk.net.cn/tikuimages/2/2016/500/shoutiniao86/86fa06c4ea5a5df8da66ececf31c889a.png)
=
![](https://www.ebk.net.cn/tikuimages/2/2016/500/shoutiniao55/07a8c9d185163ef279596f612666866a.png)
+λ(
![](https://www.ebk.net.cn/tikuimages/2/2016/500/shoutiniao88/96b3b23bd3efd717e382b6b622ca2b62.png)
+
![](https://www.ebk.net.cn/tikuimages/2/2016/500/shoutiniao10/62b169bcc06b3030cb717977979db890.png)
)(λ>0),则△ABC的外心一定在满足条件的P点集合中.