{ "source_file": "./raw_volume-zh/volume1/exercise1.tex", "problem_type": "calculation", "problem": "问题1: 已知三元实数集 $A=\\{x, x y, x+y\\}, B=\\{0,|x|, y\\}$, 且 $A=B$, 则$x^{2005}+y^{2005}=$", "solution": "解: 0 .", "remark": "", "figures": [] }