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多彩蝴蝶曲线

多彩蝴蝶曲线
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2022-02-07 19:49
函数导数函数图像
这个范例展示了多彩的蝴蝶曲线，涉及函数、反射、对称、导数等核心数学概念。通过使用IntegralBetween、函数、反射等GeoGebra命令，可以构造出精美的蝴蝶图形。适合高中及以上学生学习微积分和函数图像。

GeoGebra 命令及参数

  1. IntegralBetween(u3b(x), u4b(x), -4, -0.4) → c
  2. IntegralBetween(u3a(x), u4a(x), 0.4, 4) → d
  3. IntegralBetween(u5a(x), u5b(x), 0.61, 3.16) → e
  4. IntegralBetween(u6a(x), u6b(x), -3.16, -0.61) → i
  5. IntegralBetween(u7a(x), u8a(x), 0.45, 3.4) → l
  6. IntegralBetween(u7b(x), u8b(x), -3.4, -0.45) → j
  7. IntegralBetween(u9b(x), v1b(x), -2.61, -0.41) → n
  8. IntegralBetween(u9a(x), v1a(x), 0.41, 2.61) → m
  9. IntegralBetween(hd(x), q(x), -0.16, 0) → u
  10. IntegralBetween(v4a(x), v5a(x), 0.41, 1.36) → t
  11. IntegralBetween(v4b(x), v5b(x), -1.36, -0.41) → s
  12. IntegralBetween(v2a(x), v3a(x), 0.41, 1.98) → o
  13. IntegralBetween(v2b(x), v3b(x), -1.98, -0.41) → p
  14. IntegralBetween(hd(x), r(x), 0, 0.16) → v

AI 绘图提示语参考

绘制一个多彩的蝴蝶曲线，包含多段曲线和反射效果。首先绘制从-4到-0.4的u3b(x)和u4b(x)曲线，然后从0.4到4的u3a(x)和u4a(x)曲线，接着绘制0.61到3.16的u5a(x)和u5b(x)曲线，-3.16到-0.61的u6a(x)和u6b(x)曲线，0.45到3.4的u7a(x)和u8a(x)曲线，-3.4到-0.45的u7b(x)和u8b(x)曲线，-2.61到-0.41的u9b(x)和v1b(x)曲线，0.41到2.61的u9a(x)和v1a(x)曲线，-0.16到0的hd(x)和q(x)曲线，0.41到1.36的v4a(x)和v5a(x)曲线，-1.36到-0.41的v4b(x)和v5b(x)曲线，0.41到1.98的v2a(x)和v3a(x)曲线，-1.98到-0.41的v2b(x)和v3b(x)曲线，最后绘制0到0.16的hd(x)和r(x)曲线。
以上提示语为根据原始绘图命令整理而来，仅供参考。