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Zhengzhou Ermo Science Mathematics Answer
Solution: Make the optical path as shown in the figure, the incident point on the semicircle is B, the incident angle is I and the refraction angle is R. 。

Then n=sinrsini

And sini=OAOB= 12.

Simultaneous solution, r = 60.

According to the geometric relationship ∠ bop = ∠ POB = 30.

OP=2Rcos30 =3R

A: The length of OP is 3r.