一、问题的提出“直线方程”复习课上，我让学生做下面的习题：求过点Ｐ（１，４）且在第一象限与坐标轴围成三角形面积最小时的直线方程．（题１）解答后有学生提出：面积最小的三角形恰好以点Ｐ为斜边的中点，这是否具有一般性？这个问题其实就是：过已知直角内一定点的直 First, the problem of the proposed “linear equation” review class, I asked the students to do the following exercises: Find point P (1,4) and in the first quadrant and the axis of the triangle area when the minimum linear equation. (Question 1) After the answer, some students suggested that the triangle with the smallest area has exactly the point P as the midpoint of the hypotenuse. Is this general? The problem is actually: straight through a certain point within a known right angle