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/volume14/chapter6.tex",3 "text": "极端原理就是一种从特殊对象看问题的方法, 它以对象数量上的极端情况, 比如最大值、最小值、最长、最短等, 为出发点, 寻找解题的突破口和答案.\n极端原理作为一种解题的思想, 在几何、数论、组合、图论等方面都有着广泛的应用.\n利用这个简单而又通俗的原理可以解决不少与存在性有关的数学问题和其他问题.\n在具体解题中,需要我们作具体分析.\n在应用极端原理时, 我们应积极利用如下事实 (1)、(2), 并注意事实 (3):\n(1) 有限个数中一定有最大数和最小数;\n(2) 无限个正整数中有最小数;\n(3) 无限个实数不一定有最大数或最小数.",4 "figures": []5}