math-ai/BlueMO
BlueMO 🚀 BlueMO: A Comprehensive Collection of Challenging Mathematical Olympiad Problems from the Little Blue Book Series BlueMO is a comprehensive and challenging dataset comprising mathematical olympiad problems paired with detailed solutions, meticulously curated from the esteemed "Little Blue Book" (小蓝书) series (Second Edition)—a vital resource for Chinese students training for national and international olympiad math competitions. Designed to… See the full description on the dataset page: https://huggingface.co/datasets/math-ai/BlueMO.
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1{2 "source_file": "./raw_volume-zh/volume12/exercise4.tex",3 "problem_type": "calculation",4 "problem": "问题7. 平面上有 $n(n \\geqslant 3)$ 条线段, 其中任意 3 条都有公共端点, 则这 $n$ 条线段有一个公共端点.",5 "solution": "作图 $G, n$ 条线段的端点为 $G$ 的顶点, 线段为 $G$ 的边, 依题意, $G$ 连通无圈, 故 $G$ 是树, 且最长的链长度为 2 , 故 $G$ 只有一个顶点不是悬挂点, 这点即为 $n$ 条线段的公共端点.",6 "remark": "",7 "figures": []8}