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课件实例|2.6平移

  • 2026-04-26 19:10:30
课件实例|2.6平移

根据距离,将图形进行相应格数的平移。

用分段函数赋值来控制点平移的过程,并追踪点的轨迹。

1.格子图中构造三角形

点击【绘图】→【显示网格】,选中原点和单位点,点击【度量】→【距离】,将度量的距离标签改为“格距”,隐藏原点、单位点、横轴纵轴

点击【绘图】→【自动吸附网格】。在格点上构造任意一个三角形

2.制作拉杆

1)建立平移距离公式

新建参数,名称改为“距离”, 数值设为“7” (以7为例)点击【数据】→【计算】,编辑得到公式“格距×距离”。如2-6-1

2-6-1

2制作拉杆

构造C,水平平移C,水平方向选中“格距×距离”,平移得到点C'。构造线段CC在线段CC上取一个D颜色改为绿色

3.平移三角形

依次选中点C和点D,点击【变换】→【标记向量】选中三角形,点击【变换】→【平移】,得到平移后的三角形选中原三角形改成虚线。如2-6-2

                   图2-6-2

4.建立数点拉杆

1)制作拉杆

构造线段MN,双击点M为缩放中心选中点N,点击【变换】→【缩放】,点击公式“距离=7”,得到点N',构造线段MN',在线段MN'上构造一动点L,颜色改为绿色

2)建立计算公式

依次选中点M、N、L,点击【度量】→【比】,得到如下比值:

点击【数据】→【计算】,编辑得到如下公式

3)完善拉杆

双击点M为缩放中心选中点N,点击【变换】→【缩放】,点击公式“

”,得到点N"。

依次选中点N、点M,点击【变换】→【标记向量】,选中点N",点击【变换】→【平移】,得到点N'''。如图2-6-3

2-6-3

构造线段N'''N",在线段N'''N”上构造一点O,构造线段N'''O。选中点L和线段N'''O,按住“shift”键,点击【度量】→【点的值】。如图2-6-4。

2-6-4

5.建立点平移公式及数点

点击【数据】→【计算】,编辑得到公式:

水平平移顶点F,水平方向

平移到点F。选中点F,点击【显示】→【追踪点】。如图2-6-5。

2-6-5

6.设置按钮

1)设置平移按钮

依次选中点D和点C,点击【编辑】→【操作类按钮】→【移动】,将速度改为“高速”,按键标签改为“还原1”。同上步骤,选中点D和点C设置移动按钮,速度标签改为平移

2)设置数点按钮

依次选中点L和点M设置移动按钮,将速度改为“高速”,按键标签改为“还原2”选中点L和点N'设置移动按钮,速度标签改为“数点”。

3)设置开始按钮

选中按钮“还原1”和“还原2”,点击【编辑】→【操作类按钮】→【系列】,选择清除所有追踪踪迹,标签改为“开始”。

7.调整美观

隐藏不要的对象

END

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  1. CONNECT:[ UseTime:0.001083s ] mysql:host=127.0.0.1;port=3306;dbname=a_sjds;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.001749s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000707s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000695s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.001318s ]
  6. SELECT * FROM `set` [ RunTime:0.000658s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.001577s ]
  8. SELECT * FROM `article` WHERE `id` = 459279 LIMIT 1 [ RunTime:0.003811s ]
  9. UPDATE `article` SET `lasttime` = 1777317460 WHERE `id` = 459279 [ RunTime:0.003391s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 66 LIMIT 1 [ RunTime:0.001748s ]
  11. SELECT * FROM `article` WHERE `id` < 459279 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.001252s ]
  12. SELECT * FROM `article` WHERE `id` > 459279 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.001290s ]
  13. SELECT * FROM `article` WHERE `id` < 459279 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.002052s ]
  14. SELECT * FROM `article` WHERE `id` < 459279 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.004030s ]
  15. SELECT * FROM `article` WHERE `id` < 459279 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.006500s ]
0.199073s