橢圓與雙曲線
Author: 藍邦偉  老師

橢圓與雙曲線的圖形

拉動L決定兩焦點的距離

拉動a觀察

a>c:

c>a:

L = 7 (slider from 4 to 8, step 1)
F' = (1.322611806797855, 1.4991771019678006)
a_1 = 1 (slider from -5 to 5, step 0.1)
F: F' + (L, 0)
n_1 = 20
i = (0, 1)
b: L
a = 4.5 (slider from 0.5 to 8, step 0.5)
M: (F' + F) / 2
c = Segment(F', F)
Γ: (x - x(M))^(2) / a^(2) + (y - y(M))^(2) / (a^(2) - (c / 2)^(2)) = 1
A_1 = Corner(1)
A_4 = Corner(4)
A_2: (2.9 * Corner[1] + 1.1 * Corner[2]) / 4
A_3: (2.9 * Corner[4] + 1.1 * Corner[3]) / 4
多邊形2, a_5, a_6, a_7, a_8 = Polygon(A_1, A_2, A_3, A_4)
d = Segment(A_2, A_3)
text5: "\overline{PF}+\overline{PF'}=2a=" + (2 * a)
A = (-5.214939361722445, 1.8333121550302731)
text7: "|\overline{PF}-\overline{PF'}|=2a=" + (2 * a)
集合1 = Sequence(Circle[F', 0.5 * i * a_1], i, 1, 2 * n_1)
集合2 = Sequence(Circle[F, 0.5 * i * a_1], i, 1, 2 * n_1)