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20. 在 $\\triangle A B C$ 中, $B=60^{\\circ}$, 面积为 $10 \\sqrt{3}$, 外接圆半径为 $\\frac{7 \\sqrt{3}}{3}$, 则各边长为",5 "solution": "5、7、8. 由条件得 $\\left\\{\\begin{array}{l}a^2+c^2-2 a c \\cos 60^{\\circ}=b^2, \\\\ \\frac{1}{2} a c \\sin 60^{\\circ}=10 \\sqrt{3}, \\\\ b=2 \\times \\frac{7 \\sqrt{3}}{3} \\sin 60^{\\circ} .\\end{array}\\right.$ 解得 $b=7, a=5, c=8$.",6 "remark": "",7 "figures": []8}