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/volume3/exercise3.tex",3 "problem_type": "calculation",4 "problem": "问题7. $R$ 是 $\\triangle A B C$ 的外接圆半径, 若 $a b<4 R^2 \\cos A \\cos B$, 则 $\\triangle A B C$ 的外心位于( ).\n(A) 三角形的外部\n(B) 三角形的边上\n(C) 三角形的内部\n(D) 无法判断",5 "solution": "A. 由 $a b<4 R^2 \\cos A \\cos B$ 得 $\\sin A \\sin B<\\cos A \\cos B$, 即 $\\cos (A+ B)>0$, 所以 $A+B<\\frac{\\pi}{2}, \\triangle A B C$ 为钝角三角形,其外心在三角形外部.",6 "remark": "",7 "figures": []8}