共軛雙曲線
Author: 藍邦偉  老師

共軛雙曲線

雙曲線Γ_1方程式

雙曲線Γ_2方程式

a=

b=

h=

k=

a

b

h

k

Reset

a = 1 (slider from 0 to 20, step 1)
b = 1 (slider from 0 to 20, step 0.5)
h = 0 (slider from -20 to 20, step 1)
k = 0 (slider from -20 to 20, step 1)
c: (x - h)^(2) / a^(2) - (y - k)^(2) / b^(2) = 1
e: x = h + a
f: x = h - a
g: y = k + b
i: y = k - b
d: (y - k)^(2) / b^(2) - (x - h)^(2) / a^(2) = 1
A = Intersect(f, g)
B = Intersect(i, f)
C = Intersect(e, g)
D = Intersect(i, e)
j = Segment(A, B)
l = Segment(B, D)
m = Segment(D, C)
n = Segment(C, A)
p = Line(A, D)
q = Line(B, C)
E, F_1 = Intersect(d, n)
F, G_1 = Intersect(d, l)
G, H_1 = Intersect(c, j)
H, I = Intersect(c, m)
r = Segment(E, F)
s = Segment(H, G)
P_1: (x(Corner[1]), 0)
P_2: (x(Corner[2]), 0)
P_3: (0, y(Corner[2]))
P_4: (0, y(Corner[4]))
u = Vector(P_1, P_2)
v = Vector(P_3, P_4)
C_1 = Corner(1)
C_4 = Corner(4)
C_2: (3.8 * Corner[1] + 1.2 * Corner[2]) / 5
C_3: (3.8 * Corner[4] + 1.2 * Corner[3]) / 5
多邊形1, c_1, c_2, c_3, c_4 = Polygon(C_1, C_2, C_3, C_4)
t = Segment(C_3, C_2)
o = false
w = false
inputBox1 = Textfield(a)
inputBox2 = Textfield(b)
inputBox3 = Textfield(h)
inputBox4 = Textfield(k)
text6: "\frac{(y" + (LaTeX[If[k > 0, "-", "+"]]) + "" + (LaTeX[abs(k)]) + ")²}{" + (LaTeX[b^(2)]) + "}-\frac{(x" + (LaTeX[If[h > 0, "-", "+"]]) + "" + (LaTeX[abs(h)]) + ")²}{" + (LaTeX[a^(2)]) + "}=1"
text5: "\frac{(x" + (LaTeX[If[h > 0, "+", "-"]]) + "" + (LaTeX[abs(h)]) + ")²}{" + (LaTeX[a^(2)]) + "}-\frac{(y" + (LaTeX[If[k > 0, "+", "-"]]) + "" + (LaTeX[abs(k)]) + ")²}{" + (LaTeX[b^(2)]) + "}=1"