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今年全国普通高等学校招生统一考试数学试题理科第24题(文科第25题)是一道复数方程题:设a≥0,在复数集C中解方程x~2+2|z|=a.该题旨在“考查复数与解方程等基本知识以及综合分析能力。”满分为12分,是同压轴题一样为分数最高的题。从本人所接触的考生和评卷教师乃至毕业班任课教师,为数不少的对本题多少有点抱怨情绪。认为该题需要多层次地进行分域讨论,谈不上难,但无论是考生解题还是教师评卷,都有一个“繁”的感觉。甚
This year, the 24th item of the mathematics test for the National Unified Higher Education Enrollment Examination (Arts. 25) is a complex equation: set a ≥ 0, and solve the equation x~2+2|z|=a. in the complex set C. The goal is to “check basic knowledge of complex equations and equations, as well as comprehensive analysis capabilities.” A score of 12 points is the same as the final question with the highest score. From the candidates and assessment teachers I have contacted, as well as the graduating class teachers, a large number of people are somewhat complaining about this topic. It is considered that the topic needs to be divided into multiple levels for discussion, and it is difficult to talk about it. However, whether it is the problem-solving problem or the teacher’s assessment, it has a feeling of “complexity”. very