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National and Regional Contests
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(China) National High School Mathematics League
2021 China Second Round A1
1
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Part of
2021 China Second Round A1
Problems
(1)
Quite easy geometry
Source: China Second Round Olympiad 2021 A1 P1
10/16/2021
In triangle ABC,X,Y are on the angle bisector of ∠BAC and ∠ABX=∠ACY.BX intersects CY at P and circles (BYP) and (CXP) intersect at Q different from P. Prove that A,P,Q are on a line.
geometry
China