Η γεωμετρική εποπτεία της απόλυτης τιμής
Author: Emilv

x= τετμημένη Μ 

Α Δ Υ Ν Α Τ Η

Η γεωμετρική εποπτεία της απόλυτης τιμής

α = 3 (slider from -5 to 5, step 0.5)
β = 2 (slider from -8 to 8, step 1)
A: (α, 0.0)
c = Circle(A, β)
B, C = Intersect(c, xAxis)
D = Point(xAxis)
b = Ray(B, D)
E = Point(xAxis)
d = Ray(C, E)
e = Segment(B, C)
κείμενο4: "|x-(" + α + ")|" + " ≤  " + β
κείμενο5: "|x-(" + α + ")|" + " ≥  " + β
F = Point(xAxis)
G = Point(xAxis)
f = Line(F, G)
φάση = 0 (slider from 0 to 5, step 1)
h = -2 (slider from -5 to 5, step 1)
i = 0 (slider from -5 to 5, step 1)
Δ: (h, 0.0)
Ε: (i, 0.0)
Μ = Midpoint(Δ, Ε)
g = Segment(Δ, Μ)
j = Segment(Μ, Ε)
κείμενο2: "|x-(" + α + ")|" + "  =  " + β
κείμενο1: "|x-(" + h + ")|" + "  =  " + "|x-(" + i + ")|"
a = 1 (slider from -5 to 5, step 1)
k = -2 (slider from -5 to 5, step 1)
Ζ: (a, 0.0)
Η: (k, 0.0)
Θ = Midpoint(Ζ, Η)
l = Ray(Θ, Ζ)
κείμενο6: "|x-(" + a + ")|" + "  < " + "|x-(" + k + ")|"
m = -1 (slider from -5 to 3, step 1)
n = 4 (slider from 3 to 10, step 1)
o = 9 (slider from -2 to 10, step 1)
Κ: (m, 0.0)
Λ: (n, 0.0)
κείμενο7: "|x-(" + m + ")| + |x-(" + n + ")|= " + o
p = Segment(Κ, Λ)
q = 2
κείμενο8: "ΚΛ =" + p
r: o - p
s: abs(r / 2.0)
Ν: (m - s, 0.0)
Π: (n + s, 0.0)
t = Segment(Κ, Ν)
a_1 = Segment(Λ, Π)
κείμενο11: "ΝΚ +ΝΛ = " + o
κείμενο12: "ΠΚ +ΠΛ = " + o
κείμενο9: "|" + o + "  - " + p + " | = " + (abs(r))
κείμενο10: "ΝΚ = ΠΛ =" + (abs(r)) + " /2 = " + s
u = 4 (slider from -5 to 5, step 1)
v = -1 (slider from -5 to 5, step 1)
Σ: (u, 0.0)
Τ: (v, 0.0)
b_1 = Segment(Σ, Τ)
κείμενο14: "|" + u + " - ( " + v + ")| = ΣΤ =" + b_1
κείμενο15: "|" + v + " - (" + u + ")| = ΤΣ =" + b_1
w = -1 (slider from -5 to 5, step 1)
z = -2 (slider from -5 to 5, step 1)
Ρ: (w, 0.0)
Φ: (z, 0.0)
Ρ': (-(z), 0.0)
e_1 = Circle(Ρ, -(z))
i_1 = 1
j_1 = 3
H = Point(xAxis)
c_1 = Circle(H, abs(w))
d_1 = Circle(H, abs(z))
f_1 = Segment(H, Ρ)
g_1 = Segment(H, Ρ')
h_1: abs(w) + abs(z)
k_1: abs(w + z)
κείμενο19: "|" + w + "+ (  " + z + "   ) | ≤ | " + w + " | +| " + z + " |"
κείμενο17: "|  " + w + " +(" + z + ")  | = ΡΡ' = " + k_1
κείμενο18: "| " + w + "| + |  " + z + " | = HΡ  +ΗΡ' =" + (abs(w)) + "+" + (abs(z)) + " = " + h_1