一、提出问题题目(2013陕西中考)如图1,M是正方形ABCD内一定点,请在图中作出两条直线(要求其中一条直线必须过点M),使它们将正方形ABCD的面积四等分,并说明理由.本题要求过正方形内一定点M,作两条直线将正方形面积四等分,题目陈述简洁扼要、匠心独具、设计新颖,为学生的探究提供富有内涵的思维载体,下面笔者谈谈对本题的思考,尝试挖掘作图中蕴含的知识和方法,提高学生解题能力,以期与各位同行共勉.图1 First, the question asked (Shaanxi senior high school entrance examination) Figure 1, M is a certain point within the square ABCD, please make two straight lines in the figure (one of the lines must be required to point M), so that they will square ABCD area four Points, and explain the reasons .This question requires a certain point within the square M, for the two straight lines will square the area of ​​four equal parts, concise statement of the title, ingenuity, novel design, for the exploration of students to provide rich content of the thinking carrier, the following I talk about the thinking of this issue, try to tap the knowledge and methods contained in the drawing to improve the ability of students to solve problems, with the hope of mutual encouragement.