雙曲線的平移
Author: 藍邦偉  老師

橫的雙曲線

直的雙曲線

       $⇑ $
$⇐$平移$ ⇒$
       $⇓$

上

下

右

左

雙曲線的平移

中心M(

h

k

a

b

,

)

a=

b=

M

A_1 = Corner(1)
A_4 = Corner(4)
A_3: 1 / 4 * Corner[3] + 3 / 4 * A_4
A_2: 1 / 4 * Corner[2] + 3 / 4 * A_1
多邊形1, a_1, a_2, a_3, a_4 = Polygon(A_1, A_2, A_3, A_4)
g = Segment(A_2, A_3)
a = 2 (slider from 1 to 5, step 1)
b = 1 (slider from 1 to 5, step 1)
h = 0 (slider from -5 to 5, step 1)
k = 0 (slider from -5 to 5, step 1)
c = false
d = false
inputBox1 = Textfield(h)
inputBox2 = Textfield(k)
inputBox3 = Textfield(a)
inputBox4 = Textfield(b)
u = Vector((x(Corner[1]), 0), (x(Corner[3]), 0))
v = Vector((0, y(Corner[1])), (0, y(Corner[3])))
M: (h, k)
A = (-9.4, 4.46)
Γ_1: (x - h)^(2) / a^(2) - (y - k)^(2) / b^(2) = 1
text3: "\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"
text10: "\frac{(y" + (LaTeX[If[k < 0, "+", "-"]]) + "" + (LaTeX[abs(k)]) + ")²}{" + (LaTeX[a * a]) + "}-\frac{(x" + (LaTeX[If[h < 0, "+", "-"]]) + "" + (LaTeX[abs(h)]) + ")²}{" + (LaTeX[b^(2)]) + "}=1"
Γ_2: (y - k)^(2) / a^(2) - (x - h)^(2) / b^(2) = 1