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/volume8/exercise3.tex",3 "problem_type": "calculation",4 "problem": "问题1. $p^2 \\geqslant 4 q$ 是关于 $x$ 的实系数方程 $x^4+p x^2+q=0$ 有实根的 ( ).\n(A) 充分而不必要条件\n(B) 必要而不充分条件\n(C) 充分且必要条件\n(D) 非充分又非必要条件",5 "solution": "B.\n令 $x^2=t$, 则原方程变形为 $t^2+p t+q=0$.\n原方程有实根的充要条件是关于 $t$ 的方程 有非负实根, 从而可知 $p^2 \\geqslant 4 q$ 是该方程 有非负实根的必要而不充分条件.",6 "remark": "",7 "figures": []8}