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20 13 how to do the last question of grade 25 mathematics in Haidian, Beijing? (Explain the process in detail)
& ltp> suggests looking up the Apollonius circle theorem.

The first is the geometric proof method of circle.

This question uses the first conclusion at the bottom right, and the second is the proof of this conclusion.

The diameter of the circle in this question is equivalent to MN in the theorem, the point B in the question is equivalent to the fixed point A in the theorem, and the fixed ratio is root 2, so the BE brought into the conclusion is root 2, and the position of point E can be determined.