Polynome im Affenkasten GeoGebra-Aufgabe 1 Ergebnis
Author: Prof. Dr. Dörte Haftendorn
Date: 24.09.04

Ziehe A

Variiere r und a.

f(x)=a x (x^2-3 r^2)

a = 0.10000000000000013 (slider from -5 to 5, step 0.01)
r = 3.000000000000001 (slider from -5 to 5, step 0.1)
b(x) = a * x * (x^(2.0) - 3.0 * r^(2.0))
A = Point(b)
c = Tangent(A, b)
B, C, B_1 = Intersect(b, c)
f = Line(A, yAxis)
g = Line(C, yAxis)
I = Intersect(yAxis, c)
h = Circle(I, A)
J, K = Intersect(h, c)
i = Line(K, yAxis)
F = Intersect(b, i)
j = Tangent(F, b)
G, L, G_1 = Intersect(b, j)
k = Line(G, yAxis)
D = Intersect(k, c)
E = Intersect(g, j)
H = Intersect(f, j)
M = Intersect(yAxis, j)
d = Segment(D, G)
e = Segment(A, H)
l = Segment(I, M)
m = Segment(K, F)
n = Segment(C, E)
p = Segment(D, C)
q = Segment(G, E)
P, d_1, c_1, e_1, g_1 = Polygon(D, C, E, G)
O = (0, 0)
s = Line(O, c)
N = Intersect(s, d)
Q = Intersect(s, n)
t = Segment(N, Q)