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高中遇到的很多解析几何题,特别是一些证明题,给人的感觉总是充满了机缘巧合.通过学习分析探究这些题目,发现所给的条件往往都是一般问题的特殊化处理.一些看似简单的条件,往往都是做了精心的设计.因此在解题过程中,对所给条件内在联系的把握至关重要.下面以2017年全国高考北京卷理科的第18题为例,对题目条件相关问题进行了探究,以揭示看似简单的条件背后的秘密.
Many of the analytical geometry problems encountered in high schools, especially some proving questions, always give people a feeling of coincidence. Through learning and analysis to explore these topics, it is found that the given conditions are often special treatment of general problems. Simple conditions are often carefully designed. Therefore, in the process of solving questions, it is very important to grasp the internal relations of the given conditions. The following is the 18th topic of the 2017 National College Entrance Examination Beijing Science and Technology Section. Questions related to topic conditions were explored to reveal the secrets behind seemingly simple conditions.