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今年上海市高中数学会考试题的第七题是一道解析几何的综合题,作为会考的压轴题,多数同志认为似乎偏难,但就试题本身而言,不失为一道好题,因为从其涉及的知识网络来看,如中点坐标公式,直线方程的各种形式,直线与抛物线的位置关系,……等等都应用到了,同时又可较简捷地用复数来解,因此从学生卷面情况来看,解法层出无穷,思路灵活清晰,对数学成绩较好的学生确是一道良好的练习题,下面就卷面见到的几种解法作一个简单介绍:
The seventh question of the Shanghai High School Mathematics Examination this year is a comprehensive problem of analytical geometry. As the title question of the exam, most comrades think that it seems to be difficult, but in terms of the question itself, it is a good question because of the knowledge involved in it. From the network point of view, such as the midpoint coordinate formula, the various forms of the linear equation, the positional relationship between the straight line and the parabola, etc. are all applied to it, and at the same time, it can be more easily solved by using the plural number, so from the situation of the student’s reconciliation Look, the solution is endless, the idea is flexible and clear, and the students with good mathematics performance are indeed a good practice problem. Here is a brief introduction of several solutions that are seen on the surface: