关注模型 妙解中考题

• 作 者: 张宁
• 机 构: 宁夏中卫市沙坡头区宣和镇张洪学校,
• 出 处: 中学生数学
• 发表日期: 2012年16期
• 关键词: 中考试题 求解思路 图形的 数学模型 数学问题 沙坡头区 直角边 宣和 三条

同学们在学习勾股定理时,利用图1～图3中相关图形的面积关系证明了勾股定理.在图1中,S正方形ABCD=4S△ADE+S正方形EFGH,在图2中,S正方形ABCD=4S△AEF+S正方形EFGH,在图3中,S梯形ABCD=2S△ABE+S△ADE.图1图2图3勾股定理的证明是同学们学习过的非常重要的数学模型,利用它可顺利解决相关中考试题.

In studying the Pythagorean Theorem, students proved the Pythagorean theorem by using the area relations of the related graphs in Figure 1 to Figure 3. In Figure 1, S-Square ABCD = 4S △ ADE + S Square EFGH, in Figure 2, S Square ABCD = 4S △ AEF + S Square EFGH, in Figure 3, S Trapezoid ABCD = 2S △ ABE + S △ ADE Figure 1 Figure 2 Figure 3 Pythagorean theorem proved to be a very important mathematical model , Use it to successfully solve the relevant examination questions.