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题长为l(l<1)的线段AB的两端在抛物线y=x2上滑动,则线段AB的中点M到x轴的最短距离等于_____. (第十三届02年“希望杯”高二2试) 将此题推广,可得定理: 已知长为l的线段AB的两端在抛物线x2=2py(p>0)上滑动,线段AB的中点M到x
The two ends of the line segment AB with the length l (l<1) slide on the parabola y=x2, and the shortest distance between the middle point M of the line segment AB and the x-axis is equal to _____. (The 13th 2002 “Hope Cup” “High 2 2 test” This question is extended to obtain the Theorem: Both ends of the line segment AB of known length l slides on the parabola x2=2py (p>0), and the midpoint of the line segment AB reaches M to x.