一、问题提出的背景本学期,我校举行了期中学习竞赛,其中八年级数学试卷最后一道选择题(见例1),是关于动点问题中计算面积的最大值,学生考下来感觉很不理想,都说找不着方向,无从下手,头脑一片空白,随便猜了一个.可见学生对这道题目的图形联想不到它的基本图形,恰恰对基本图形的认识、消化、吸收又是学习几何 I. Background of the Problem This semester, the school held a mid-term study competition, in which the last multiple-choice question of the eighth-grade math test (see Example 1) is the maximum value of the calculated area in the dynamic point question. Ideals, say no direction, no way to start, a blank mind, casually guessed one. It can be seen that the student’s graphics on this topic is not associated with its basic graphics. It is precisely the understanding, digestion, and absorption of basic graphics that are learning geometry.