论文部分内容阅读
题目:定长为3的线段 AB 的两个端点在抛物线y=x 上移动,记线段 AB 的中点为 M,求 M 到 y轴的最短距离,并求此时点 M 的坐标。此题《中学数学》1987年第九期上已收集了八种解法。现将又一解法记述如下:
Title: Lines with fixed length 3 The two endpoints of AB move on the parabola y=x. The midpoint of line AB is M, find the shortest distance from M to y-axis, and find the coordinates of point M at this time. There are eight kinds of solutions that have been collected in the ninth issue of “High School Mathematics” in 1987. Now another solution is described as follows: