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课件实例|2.4.1平行四边形的面积——割补法

  • 2026-04-28 15:44:01
课件实例|2.4.1平行四边形的面积——割补法

效

果

呈

现

       将平行四边形，通过割补转化成长方形，进而推导出平行四边形的面积公式。

制

作

思

路

构造平行四边形，利用平移呈现将平行四边形割补成长方形的动态过程。

制

作

步

骤

1.构造平行四边形

构造线段AB和线段BC，依次选中点B和点A，点击【变换】→【标记向量】，选中点C和线段BC，点击【变换】→【平移】，得到线段AD，构造线段DC。

2.构造切割痕迹

选中点A和线段BC，构造垂线，标出垂足E。隐藏垂线和线段BC，构造线段AE、线段BE和线段EC，在线段AD上构造一个动点F，颜色改为绿色。如图2-4-1。                      

2-4-1

3.图形的平移

依次选中点A和点F，点击【变换】→【标记向量】。选中三角形ABE的三个顶点和三条边，点击【变换】→【平移】，得到三角形FB＇E＇。如图2-4-2。

图2-4-2

4.调整美观

选中点F、点B＇、点E＇，构造三角形的内部。同上步骤构造梯形AECD的内部。将三角形和梯形的内部改为同种颜色，根据需要更改线型、隐藏点的标签。

资

源

链

接

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  1. CONNECT:[ UseTime:0.000675s ] mysql:host=127.0.0.1;port=3306;dbname=a_sjds;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000822s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000362s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000243s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000506s ]
  6. SELECT * FROM `set` [ RunTime:0.000205s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000508s ]
  8. SELECT * FROM `article` WHERE `id` = 458177 LIMIT 1 [ RunTime:0.000384s ]
  9. UPDATE `article` SET `lasttime` = 1777464422 WHERE `id` = 458177 [ RunTime:0.015169s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 66 LIMIT 1 [ RunTime:0.000383s ]
  11. SELECT * FROM `article` WHERE `id` < 458177 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000508s ]
  12. SELECT * FROM `article` WHERE `id` > 458177 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.000442s ]
  13. SELECT * FROM `article` WHERE `id` < 458177 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.007791s ]
  14. SELECT * FROM `article` WHERE `id` < 458177 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.008941s ]
  15. SELECT * FROM `article` WHERE `id` < 458177 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.002067s ]
0.106191s