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题目过抛物线y~2=2px,(p>0)的焦点的一条直线和此抛物线相交,两个交点的纵坐标为y_1,y_2;求证:y_1y_2=-p~2,此题是人教社课本高二(上)册P_(119)页第7题,本题内涵十分丰富,笔者从以下几方面进行探究与反思.
A line with the focus of the parabola y~2=2px, (p>0) intersects this parabola. The ordinates of the two intersections are y_1,y_2. Proof: y_1y_2=-p~2. On the seventh item of the high school (on) volume P_ (119) page of the textbook, the content of this topic is very rich. The author conducts inquiries and reflections from the following aspects.