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圆锥曲线,现安排在人教A版的选修1-1的第二章,是高中数学的重要组成部分,也是高考的考点之一,历年来的高考题在这个地方都有一个大题。历年来考生在本大题的得分率相对来说也不高。本文就圆锥曲线中常见的相交弦的弦长作一些粗浅的分析。仅以人教A版选修1-1的教材为本,在这本教材的第61页有这样一道例题:斜率为1的直线L经过抛物线y2=4x的焦点,且与抛物线相交于A、B两点,求线段AB的长。
The conical curve, now arranged in the second chapter of the 1-1 of the People’s Education A edition, is an important part of the high school mathematics and is also one of the test points for the college entrance examination. The college entrance examination questions in the past years have a big question in this place. In recent years, the score of candidates in this topic has been relatively low. In this paper, we make some shallow analysis of the chord length of the common intersecting strings in the conic curve. Only the teaching material of the 1-1 teaching material of the A version is taught. On page 61 of this textbook, there is an example: the straight line L with a slope of 1 passes through the focus of the parabola y2 = 4x, and intersects with the parabola at A, B. At two points, find the length of line segment AB.