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/exercise1.tex",3 "problem_type": "calculation",4 "problem": "问题20. 方程 $\\sin x=\\frac{x}{100}$ 的实根个数有个.",5 "solution": "63. 由 $y=\\sin x$ 和 $y=\\frac{x}{100}$ 都是奇函数知, 它的正负根个数相同,在 $x>0$ 时, 由 $\\frac{100}{\\pi}=31.8$, 知在 $(0,100]$ 上两函数的图象有 31 个交点, 同理在 $[-100,0)$ 上两函数的图象有 31 个交点, 又 $x=0$ 是方程的根,所以共有 63 个实数根.",6 "remark": "",7 "figures": []8}