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.
39.4k
1{2 "source_file": "./raw_volume-zh/volume12/exercise1.tex",3 "problem_type": "calculation",4 "problem": "问题3. 说明下面两个图(<FilePath:./images/volume12/figures/fig-c1p3-1.png>)和(<FilePath:./images/volume12/figures/fig-c1p3-2.png>) 是同构的.",5 "solution": "如图(<FilePath:./images/volume12/figures/fig-c1a3-1.png>)和如图(<FilePath:./images/volume12/figures/fig-c1a3-2.png>)所示建立点的对应关系为: $v_1 \\longleftrightarrow u_1, v_2 \\longleftrightarrow u_2, v_3 \\longleftrightarrow u_3, v_4 \\longleftrightarrow u_4, v_5 \\leftrightarrow u_5$, 边的对应关系为 $e_1 \\longleftrightarrow e_1^{\\prime}, e_2 \\longleftrightarrow e_2^{\\prime}, e_3 \\leftrightarrow e_3^{\\prime}, \\cdots, e_8 \\leftrightarrow e_8^{\\prime}$. 这两个图的顶点数相等, 边数相等, 且顶点和边相互对应, 因此这两图是同构的.",6 "remark": "",7 "figures": [8 "./images/volume12/figures/fig-c1p3-1.png",9 "./images/volume12/figures/fig-c1p3-2.png",10 "./images/volume12/figures/fig-c1a3-1.png",11 "./images/volume12/figures/fig-c1a3-2.png"12 ]13}