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椭圆对称性练习

椭圆对称性练习
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2017-07-27 18:25
参数方程
该范例演示了椭圆的对称性，涉及的核心数学概念包括椭圆、对称性和参数方程。通过使用GeoGebra命令如Line、Sequence和Polygon，用户可以动态调整椭圆的参数，观察其对称性变化。适合高中数学教学和学习。

GeoGebra 命令及参数

  1. Line(B, A) → a
  2. Textfield(deltax) → InputBox1
  3. Textfield(deltay) → InputBox2
  4. Textfield(b) → InputBox3
  5. Sequence(((deltax * i), b + (deltay * i)), i, -20, 20) → list1
  6. Sequence(Segment[A + ((deltax * (i + 1)), (deltay * i)), A + ((deltax * (i + 1)), (deltay * (i + 1)))], i, -20, 20) → rises
  7. Sequence(Segment[A + ((deltax * i), (deltay * i)), A + ((deltax * (i + 1)), (deltay * i))], i, -20, 20) → runs
  8. TableText({{p, k, l}, {A7, B7, C7}, {A8, B8, C8}, {A9, B9, C9}, {A10, B10, C10}, {A11, B11, C11}, {A12, B12, C12}, {A13, B13, C13}, {A14, B14, C14}, {A15, B15, C15}, {A16, B16, C16}}, "|_r") → text2
  9. Polygon(C, D, E, F) → poly1, c_1, d, e, f