1. 设$a$为有理数，$b$为无理数．求证：$a+b$与$a-b$都是无理数；当$a\neq 0$时，$ab$与$b/a$也是无理数． 由于$a$都是有理数 ...
Mathematical problem-solving is a key field in artificial intelligence (AI) and a critical benchmark for evaluating the capabilities of large language models (LLMs). While extensive research has ...
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