雙曲線的漸近線
Author: 藍邦偉  老師

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雙曲線的漸近線

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a=

b=

k = 9 (slider from a to x(Corner[2]), step 0.01)
a = 9 (slider from 1 to 20, step 1)
A_0 = Corner(1)
B_0 = Corner(3)
C_0: (x(A_0), 0)
D_0: (x(B_0), 0)
u = Vector(C_0, D_0)
E_0: (0, y(A_0))
F_0: (0, y(B_0))
v = Vector(E_0, F_0)
A = Point(u)
B = (0, 0)
b = 5 (slider from 1 to 10, step 0.1)
d: x^(2) / a^(2) - y^(2) / b^(2) = 1
O = (0, 0)
g: x = k
Q_1: (a, b)
Q_2: (-a, b)
Q_3: (-a, -b)
Q_4: (a, -b)
c = Segment(Q_2, Q_1)
e = Segment(Q_1, Q_4)
f = Segment(Q_4, Q_3)
i = Segment(Q_3, Q_2)
j = Line(Q_1, Q_3)
l = Line(Q_2, Q_4)
p = Function(b / a * sqrt(x^(2) - a^(2)), a, x(Corner[2]))
m: x = k
D = Intersect(j, m)
H: (k, 0)
n_1 = Segment(D, H)
C = Intersect(m, n_1)
E = Intersect(p, m, (9, 0))
q = LineBisector(D, E)
r = Circle(D, E)
F, G = Intersect(r, q)
s = CircleArc(G, D, E)
t = Segment(D, E)
n = 0 (slider from 0 to 1, step 1)
a_1 = Segment(D, E)
inputBox1 = Textfield(a)
inputBox2 = Textfield(b)
text3_1: "\frac{x²}{" + (LaTeX[a^(2)]) + "}-\frac{y²}{" + (LaTeX[b^(2)]) + "}=1"