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19 三角形的两边分别为 $3 \\mathrm{~cm} 、 5 \\mathrm{~cm}$, 它们的夹角的余弦为方程 $5 x^2-7 x- 6=0$ 的根, 则这个三角形的面积为",5 "solution": "$6 \\mathrm{~cm}^2$. 方程 $5 x^2-7 x-6=0$ 的根为 $x_1=\\frac{-3}{5}, x_2=2$, 从而 $\\cos \\theta= -\\frac{3}{5}, \\sin \\theta=\\frac{4}{5}, S_{\\triangle}=\\frac{1}{2} \\times 3 \\times 5 \\times \\frac{4}{5}=6\\left(\\mathrm{~cm}^2\\right)$.",6 "remark": "",7 "figures": []8}