拋物線的光學性質
Author: 藍邦偉  老師

$1. 移動F點決定焦點$
$2. 移動拉竿a決定準線L$
$3. 移動A點觀察光學性質$

拋物線的光學性質

k = 5.337515059109451 (slider from y(Corner[1]) to y(Corner[3]), step 0.1)
a = -2 (slider from -2 to 2, step 0.1)
F = (3.1677572139585393, 1.72470439797601)
L: x = a
c = Parabola(F, L)
l = OrthogonalLine(F, L)
A: (9, k)
b = Line(A, l)
P = Intersect(c, b)
d = Tangent(P, c)
f = OrthogonalLine(P, d)
a_1 = Ray(P, A)
e = Line(P, F)
D, Q = Intersect(c, e)
g = Segment(D, Q)
h = Line(Q, a_1)
H = Intersect(f, h)
i = Ray(Q, H)
B_1: (x(Corner[1]), 0)
B_2: (x(Corner[2]), 0)
B_3: (0, y(Corner[1]))
B_4: (0, y(Corner[3]))
u = Vector(B_1, B_2)
v = Vector(B_3, B_4)
T_1 = Corner(1)
T_4 = Corner(4)
T_2: (7.5 * Corner[1] + 2.5 * Corner[2]) / 10
T_3: (7.5 * Corner[4] + 2.5 * Corner[3]) / 10
多邊形1, t_1, t_2, t_3, t_4 = Polygon(T_1, T_2, T_3, T_4)
j = Segment(T_2, T_3)
B: A * 9
E = (8, 0)
β = Angle(A, P, E)
α = Angle(E, P, F)