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AI课件/交互式课件制作边界:三看三不

  • 2026-07-23 11:18:39
AI课件/交互式课件制作边界:三看三不
滚一滚 · 实验室
换一个形状，中心点的轨迹会变吗？

选择一个形状，或直接拖动"边数"滑块，观察中心点（红色轨迹）的起伏变化。

三角形正方形五边形六边形十边形圆（0颠簸）
4 条边
▶ 开始滚动重置轨迹
当前边数4
车轮"半径"（角到中心）55 px
贴地时中心到地面39 px
颠簸幅度（R − 贴地高度）16 px
再想一想
边数越多，颠簸越小——那圆是不是"唯一"答案？

当边数从 3 慢慢滑到 60，你会看到颠簸幅度不断逼近 0——这正是"圆可以看作边数无限多的正多边形"的道理，也是"距离处处相等"这一本质的体现。

但课例结尾留了一个反例：三角形车轮配上有规律凹槽的三角形轨道，一样可以平稳滚动。

想一想：车轮"必须"是圆的吗？还是说——圆只是"平地上、任意方向都要平稳"这个条件下的最优解？如果轨道本身可以配合车轮的形状设计，答案还会一样吗？
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  1. CONNECT:[ UseTime:0.000432s ] mysql:host=127.0.0.1;port=3306;dbname=a_sjds;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000545s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000289s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.002901s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000696s ]
  6. SELECT * FROM `set` [ RunTime:0.003990s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000787s ]
  8. SELECT * FROM `article` WHERE `id` = 519005 LIMIT 1 [ RunTime:0.000410s ]
  9. UPDATE `article` SET `lasttime` = 1785204915 WHERE `id` = 519005 [ RunTime:0.001863s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 66 LIMIT 1 [ RunTime:0.004655s ]
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  15. SELECT * FROM `article` WHERE `id` < 519005 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.001892s ]
0.101285s