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/exercise1.tex",3 "problem_type": "calculation",4 "problem": "问题2. 若 $z_1 、 z_2 、 z_3 \\in \\mathbf{C}$, 则 $z_1=z_2=z_3$ 是 $\\left(z_1-z_2\\right)^2+\\left(z_2-z_3\\right)^2=0$ 成立的 ( ).\n(A) 充分但不必要条件\n(B) 必要但不充分条件\n(C) 充分且必要条件\n(D) 既不充分也不必要条件",5 "solution": "A.\n充分是明显的; 若取 $z_1=\\mathrm{i}, z_2=0, z_3=1$, 有 $\\left(z_1-z_2\\right)^2+\\left(z_2-z_3\\right)^2= -1+1=0$, 而 $\\mathrm{i} \\neq 0 \\neq 1$, 即说明条件是不必要的.",6 "remark": "",7 "figures": []8}