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Research and development mathematics
(1) link PR, PQ?

Is the degree of the chord tangent angle equal to half the degree of the clamped arc?

That is, equal to the circumferential angle of the clamped circular arc pair? Available ∠APQ=∠ARP and ∠A=∠A = ∠ a = ∠ a.

You can get △APQ∽△ARP, and you can get PA2=AQ*AR, that is, xy=36, xy36?

(2) Links or works, OQ

Prove △APC∽△AOP?

Available PA2=AE*AO= AQ*AR.

Re-certification △AQC∽△ARO?

Get ∠ACQ=∠ARO=∠BCD.

By ∠ROQ=2∠D and 2∠ORQ+∠ROQ= 180? Get BCD+D = 90? RD is perpendicular to the straight line OA