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在直线与双曲线的位置关系的教学过程中,有一类求以某点中点的的弦(称中点弦)所在的直线方程的问题,这类问题对培养学生解决直线与双曲线的位置关系的题目的能力,培养解题的规范性、思维的严密性和思维的深刻性等具有重要的意义:
In the teaching process of the positional relationship between straight lines and hyperbola, there is a problem of finding the linear equation of the midpoint of a certain point (called the midpoint chord). This type of problem solves the problems of training students in solving the position of the straight line and hyperbola. The ability of the subject of the relationship, the standardization of problem solving, the rigor of thinking, and the profoundness of thinking are of great significance: