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课件实例|2.7.2 旋转——图形的旋转

  • 2026-04-10 15:53:02
课件实例|2.7.2 旋转——图形的旋转

效

果

呈

现

以长方形为例，可单次旋转或依次旋转。

制

作

思

路

以一个点为旋转中心，通过深度迭代、设置参数和计算公式控制旋转的次数、角度和方向。

制

作

步

骤

1.构造长方形和旋转中心

点击【绘图】→【显示网格】，点击【绘图】→【自动吸附网格】，隐藏原点、单位点、横轴、纵轴。构造长方形ABCD，构造任意点E，颜色改为绿色。如图2-7-7。

图2-7-7

2.设置旋转要素的按钮

（1）建立基础参数和公式

点击【数据】→【新建参数】，编辑得到以下参数：

点击【数据】→【计算】，编辑得到公式“trunc（t1）”，标签改为“份数”。同上步骤，编辑得到公式“360°/份数”，标签改为“单位角度”。

（2）旋转中心按钮

依次选中点E和点A，设置移动按钮，移动速度改为“高速”，标签改为“A”。同上步骤，分别设置点E移动到点B、C、D的移动按钮，移动速度都改为“高速”，标签分别改为“B”、“C”、“D”。

（3）旋转角度按钮

依次选中“t1”和“t4”设置移动按钮，移动速度改为“高速”，标签改为“30度”。依次选中“t1”和“t5”设置移动按钮，移动速度改为“高速”，标签改为“90度”。

（4）旋转方向

依次选中“t2”和“t6”，设置移动按钮，移动速度改为“高速”，标签改为“逆时针”。同上步骤，设置“t2”到“t7”，标签改为“顺时针”。

（5）旋转类型

设置“t3”到“t6”的移动按钮，移动速度改为“高速”，标签改为“依次”。同上步骤，设置“t3”到“t8”的移动按钮，标签改为“一次”。如图2-7-8。

图2-7-8

3.绘制图形的旋转

（1）绘制拉杆及相关公式

构造线段FG，在线段FG上构造动点H，颜色改为绿色。选中点H，点击【度量】→【点的值】。点击【数据】→【计算】，编辑得到公式并更改标签：

选中线段FG，【绘图】→【在线段上绘制点】，值选择公式“1/份数”，得到点I。

（2）绘制依次旋转图形

移动点H到拉杆的中央，点击“依次”按钮，选中长方形ABCD，双击点E作为旋转中心，点击【变换】→【旋转】，旋转角度选择“依次旋转角度”，得到长方形A＇B＇C＇D＇。选中点A、B、C、D和公式“迭代次数”，按住“shift”，点击【变换】→【深度迭代】，初象选中点A＇、B＇、C＇、D＇，得到依次旋转的图形。隐藏点A＇、B＇、C＇、D＇。如图2-7-9。

图2-7-9

（3）绘制一次旋转图形

点击“一次”按钮，选中长方形ABCD，双击点E作为旋转中心，点击【变换】→【旋转】，旋转角度选择“一次旋转角度”。

4.设置操作按钮

依次选中点H和点F，设置移动按钮，移动速度改为“高速”，标签改为“还原”。依次选中点H和点I，设置移动按钮，移动速度为“中速”，标签改为“旋转”。依次选中点H和点G，设置移动按钮，移动速度改为“中速”，标签改为“旋转一周”。

设置“t1”到“t9”的移动按钮，移动速度改为“中速”，标签改为“增加”。

选中按钮“还原”、“90度”、“顺时针”、“一次”，设置系列按钮，将标签设为“开始”。       

5.调整美观

隐藏不必要的对象。

资

源

链

接

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  1. CONNECT:[ UseTime:0.000373s ] mysql:host=127.0.0.1;port=3306;dbname=a_sjds;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000714s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000338s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000283s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000546s ]
  6. SELECT * FROM `set` [ RunTime:0.000195s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000549s ]
  8. SELECT * FROM `article` WHERE `id` = 459967 LIMIT 1 [ RunTime:0.000785s ]
  9. UPDATE `article` SET `lasttime` = 1777220315 WHERE `id` = 459967 [ RunTime:0.007407s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 66 LIMIT 1 [ RunTime:0.006990s ]
  11. SELECT * FROM `article` WHERE `id` < 459967 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000447s ]
  12. SELECT * FROM `article` WHERE `id` > 459967 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.002178s ]
  13. SELECT * FROM `article` WHERE `id` < 459967 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.002017s ]
  14. SELECT * FROM `article` WHERE `id` < 459967 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.001812s ]
  15. SELECT * FROM `article` WHERE `id` < 459967 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.002865s ]
0.108655s