(Actually a problem of geometry)↵
↵
you are given a circle $O$ whose radius is $2$.↵
↵
And there are two fixed points $A$ and $B$ out of the circle. it is known that $OA = 4, OB = 4\sqrt 2$, and also $\angle AOB = 45^\circ$.↵
↵
There's another moving point $P$ on circle $O$ (which means that $OP = 2$).↵
↵
You are required to write the minimum value of $2\sqrt 2PA + PB$.↵
↵
(I guess I may not put the figure here?)
↵
you are given a circle $O$ whose radius is $2$.↵
↵
And there are two fixed points $A$ and $B$ out of the circle. it is known that $OA = 4, OB = 4\sqrt 2$, and also $\angle AOB = 45^\circ$.↵
↵
There's another moving point $P$ on circle $O$ (which means that $OP = 2$).↵
↵
You are required to write the minimum value of $2\sqrt 2PA + PB$.↵
↵
(I guess I may not put the figure here?)
