双曲线与几何变换

双曲线与几何变换
几何画板及绘图内容加载中,请稍等……
2017-07-11 17:41
①本范例演示双曲线的几何性质与对称性;②涉及核心数学概念包括双曲线、几何变换、多项式函数和直方图;③构造要点:使用Polygon、RotateText、Textfield、Sequence、TableText等GeoGebra命令创建多边形、文本、数列和表格;④适合高中数学教学,用于理解解析几何和函数图像。

GeoGebra 命令及参数

  1. Polygon((0, 0), (0, 150), (10, 150), (10, 0)) → poly1, f, g, h, i
  2. RotateText("weight (kgs)", 90°) → text3
  3. Textfield(step) → InputBox1
  4. Textfield(first_1) → InputBox2
  5. Textfield(change) → InputBox3
  6. Sequence((i, first_1 + (change * i)), i, 0, 10) → list1
  7. Sequence(Segment[(i, (change * i) + first_1), (i + 1, (change * i) + first_1)], i, 0, 9) → list2
  8. Sequence(Segment[(i + 1, (change * i) + first_1), (i + 1, (change * (i + 1)) + first_1)], i, 0, 9) → list3
  9. Textfield(first) → InputBox4
  10. Textfield(change1) → InputBox5
  11. Textfield(change2) → InputBox6
  12. Sequence(change1 + (change2 * (i - 1)), i, 1, 10) → list5
  13. Sequence(first + change1 + (change2 * (i - 1)) + (change2 * i), i, 0, 10) → list6
  14. TableText({{sn, w_1, c_1}, {1, first_1 + change, change}, {2, first_1 + (change * 2), change}, {3, first_1 + (change * 3), change}, {4, first_1 + (change * 4), change}, {5, first_1 + (change * 5), change}, {6, first_1 + (change * 6), change}, {7, first_1 + (change * 7), change}, {8, first_1 + (change * 8), change}, {9, first_1 + (change * 9), change}, {10, first_1 + (change * 10), change}}, "|_r") → text6
  15. TableText({{sn, w_1, c_1, c_2}, {A2, B2, C2, D2}, {A3, B3, C3, D3}, {A4, B4, C4, D4}, {A5, B5, C5, D5}, {A6, B6, C6, D6}, {A7, B7, C7, D7}, {A8, B8, C8, D8}, {A9, B9, C9, D9}}, "|_r") → text5

AI 绘图提示语参考

绘制一个坐标系中的双曲线,并围绕它进行几何变换。首先画一个矩形,然后创建一个旋转的文本标签,表示重量。接着输入起始值和变化值,生成一系列点和线段,形成一个倾斜的线。最后,创建一个表格,列出这些点的序列。
以上提示语为根据原始绘图命令整理而来,仅供参考。