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A geometry question from the CTST in the previous year. A question that requires a bit of attention(注意力) and the knowledge of the Nine-point circle.
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A quite challenging geometry question that requires angle chasing skills and the use of similar triangles and the circle power theorem.
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A geometry question that tests your ability of angle chasing.
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A pretty plain geometry question.
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An easy geometry which requires the knowledge of fundamental theorems and the use of similar triangles.
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A very challenging geometry question from the national math olympiad in China in the previous year. My solution uses the method of coincidence and theorems such as the circle power theorem and the side form of Ceva's Theorem.
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