A problem of mathematics

Revision en2, by libra7z, 2020-06-02 17:34:22

(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?)

Tags maths, geometry

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en3 English libra7z 2020-06-02 17:35:18 8
en2 English libra7z 2020-06-02 17:34:22 13
en1 English libra7z 2020-06-02 17:31:43 427 Initial revision (published)