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课件实例|2.7.1旋转——线段的旋转

  • 2026-04-25 03:15:43
课件实例|2.7.1旋转——线段的旋转

直观演示线段旋转的效果。

以一个点为旋转中心,通过设置参数和计算公式控制旋转的次数、角度和方向。

1.构造方格及拉杆

1)构造方格

点击【绘图】【显示网格】,隐藏原点、单位点、横轴、纵轴点击【绘图】【自动吸附网格】。

2)制作拉杆及开始按钮

构造任意线段CD,在线段CD上构造一个动点E,颜色改为绿色依次选中点E和点C,点击【编辑】【操作类按钮】【移动】,速度改为“高速”,标签改为“开始”同理依次旋转点E和点D,设置移动按钮,速度默认“中速”,标签改为“旋转”。度量点E在线段CD上的点值。如图2-7-1。

2-7-1

2.设置旋转方向、旋转角度按钮

1)建立基础参数

点击【数据】【新建参数】,将名称改为“方向”,数值为“1”。同上步骤,新建参数“t1=1”,“t2=-1”,“角度=90”,“t3=90”,“t4=-180”,“t5=-270”。

2设置方向按钮

依次选中“方向”和“t1”,点击【编辑】【操作类按钮】【移动】,速度改为“高速”,标签改为“逆时针”同理,依次选中“方向”和“t2”设置移动按钮,速度改为“高速”,标签改为“顺时针”。

3设置角度按钮

依次选中“角度”和“t3”,设置移动按钮,标签改为“90度”同理,设置移动按钮“180度”、“270度”,速度统一改为“高速”。如图2-7-2。

2-7-2

3.线段的旋转

1)构造旋转中心和旋转线段

构造任意点F作为图形的旋转中心,颜色改为绿色构造线段AB。

2线段的旋转

点击【数据】【计算】,编辑得到公式“方向×角度×E在CD上×1°”,标签改为“旋转角度”。双击点F,选中线段AB和点A、点B,点击【变换】【旋转】,旋转角度为“旋转角度”,旋转得到线段A'B'。如图2-7-3。

 图2-7-3

4.设置旋转中心按钮

依次选中点F和点A,设置移动按钮,速度改为“高速”,标签改为“旋转中心A”同理,依次选中点F和点B,设置移动按钮,标签改为“旋转中心B”。

5.旋转后终点标签的显示

1)度量点A和点F以及点B和点F的距离

点击【数据】【计算】,编辑得到下列公式并标签改为“控制A”,“控制B”。如图2-7-4。

2-7-4

2构造标签点

构造一条短线段,选中这条线段以及点A'、点B',点击【构造】【以圆心和半径绘圆】分别绘制两个小圆。在圆A'上取一个点G,在圆B'取一个点H如图2-7-5。隐藏两个圆。选中点G、点H,点击【编辑】【操作类按钮】【隐藏/显示】。如图2-7-5

2-7-5

双击点A',选中点G,点击【变换】【缩放】,选中“控制A”为标记比进行缩放。同上步骤,双击点B'选中点H,选中“控制B”为标记比进行缩放。点击按钮隐藏点G、点H移动拉杆上的点E到点D,出现缩放点GH隐藏点AB'的标签。

3)合并标签到点

点击【文本工具】,编辑得到文本“A'”同理构造文本“ B'”。选中点G'和文本“A'”,按“shift”键,点击【编辑】【合并文本到点】。同理,合并文本“B'”到点H'上。隐藏点GH'和文本“A'”、“B'”。如图2-7-6。

2-7-6

6.隐藏不必要对象

更改部分标签字体大小,调整各对象的位置隐藏不必要的对象。

END

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  1. CONNECT:[ UseTime:0.001068s ] mysql:host=127.0.0.1;port=3306;dbname=a_sjds;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.002078s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000786s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000673s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.001735s ]
  6. SELECT * FROM `set` [ RunTime:0.000661s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.001856s ]
  8. SELECT * FROM `article` WHERE `id` = 459499 LIMIT 1 [ RunTime:0.001921s ]
  9. UPDATE `article` SET `lasttime` = 1777285486 WHERE `id` = 459499 [ RunTime:0.002561s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 66 LIMIT 1 [ RunTime:0.000703s ]
  11. SELECT * FROM `article` WHERE `id` < 459499 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.001221s ]
  12. SELECT * FROM `article` WHERE `id` > 459499 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.001221s ]
  13. SELECT * FROM `article` WHERE `id` < 459499 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.001783s ]
  14. SELECT * FROM `article` WHERE `id` < 459499 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.002698s ]
  15. SELECT * FROM `article` WHERE `id` < 459499 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.004123s ]
0.203483s