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/volume13/chapter13.tex",3 "text": "所谓考察特例, 是指考察问题包含的一些简单的特殊情形, 从中发现解题途径.\n它常包括如下 4 种情形:\n情形 1 考察\"最坏\"的特例——种最特殊的情况.\n情形 2 由充分条件、必要条件寻找特例.\n对此,一个找使性质 $P$ 成立的充分条件的方法是: 假设所求对象不满足要求 $P$, 由此导出若干性质, 然后设法破坏其中一个性质即可.\n情形 3 先考虑原问题在特殊情况下如何解决, 然后将一般情况变换到特殊情况处理.\n情形 4 由特殊情况发现一般规律, 猜想问题的结论, 最后用数学归纳法加以证明.",4 "figures": []5}