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直线与圆锥曲线的位置关系是解析几何的重点内容之一,也是高考的热点,这类问题往往与函数、不等式等知识综合、交汇考查,常涉及圆锥曲线的性质和直线的基本知识点、线段的中点、弦长、垂直问题等,因此分析问题时要利用数形结合思想、设而不求法与弦长公式及韦达定理综合思考,这样就加强了对数学各种能力的考查。
The position relationship between the straight line and the conic curve is one of the key contents of analytical geometry, and it is also a hot spot of the college entrance examination. Such problems are often combined with the knowledge of functions, inequalities, etc., and they often involve the examination of convergence, and often involve the nature of conic curves and the basic knowledge points and line segments of a straight line. The midpoint, chord length, and vertical problems are the same. Therefore, when analyzing the problem, we must use the idea of combination of number and shape, design without seeking the law and chord length formula, and Vedic theorem to comprehensively think. This strengthens the examination of various mathematical abilities.