Author: Mag.G.Wengler

A

B

C

D

NEU

gelbe Fläche =

blaue Fläche =

grüne Fläche =

türkise Fläche =

Berechne den Flächeninhalt 
des Vierecks ABCD auf zwei Arten.

Fällt dir etwas auf?

Zwischensumme der vier Dreiecke

Ermittle die Inhalte der vier Dreiecke:

Inhalt Viereck ABCD =

\Large Bravo! \;Alles\; richtig!

Gib den Flächeninhalt von ABCD an:

Kontrolle:

A_1 = Intersect(xAxis, yAxis)
s = Random(12, 15)
q_2 = Random(1, s)
q_4 = Random(0, q_2)
p_1 = Random(2, s)
p_3 = Random(0, p_1)
B_1: (s, 0)
a = Segment(A_1, B_1)
C_1 = Point(yAxis)
D_1 = (10, 11)
b = Segment(C_1, D_1)
E: (0, s)
F: (s, s)
c = Segment(E, F)
d = Segment(F, B_1)
e = Segment(E, A_1)
G = Point(yAxis)
H = (10, 21)
f = Segment(G, H)
g = Segment(H, D_1)
h = Segment(G, C_1)
A: (p_1, 0)
C: (p_3, s)
B: (s, q_2)
D: (0, q_4)
VE_1, i, j, k, l = Polygon(D, A, B, C)
V_1: (x(A), s + 1)
V_2: (s, s + 1 + y(B))
V_3: (x(C), 2 * s + 1)
V_4: (0, s + 1 + y(D))
VE_2, v_4, v_1, v_2, v_3 = Polygon(V_4, V_1, V_2, V_3)
DE_3, b_1, c_1, f_1 = Polygon(C, F, B)
DE_2, b_2, a_1, b_3 = Polygon(A, B_1, B)
DE_1, d_1, a_2, a_3 = Polygon(A, A_1, D)
DE_4, e_1, d_2, c_2 = Polygon(D, C, E)
m = OrthogonalLine(V_3, f)
n = OrthogonalLine(V_2, g)
p = OrthogonalLine(V_1, b)
q = OrthogonalLine(V_4, h)
J = Intersect(n, p)
K = Intersect(m, n)
L = Intersect(m, q)
M = Intersect(p, q)
RE, j_1, k_1, l_1, m_1 = Polygon(J, K, L, M)
DE_c, v_5, v_6, k_2 = Polygon(V_3, K, V_2)
DE_b, v_7, v_8, j_2 = Polygon(V_2, J, V_1)
DE_a, v_9, v_{10}, m_2 = Polygon(V_1, M, V_4)
DE_d, v_{11}, v_{12}, l_2 = Polygon(V_4, L, V_3)
p_4 = 0
q_1 = 0
p_2: s
q_3: s
r = Segment(V_4, V_1)
t = Segment(V_1, V_2)
g_1 = Segment(V_2, V_3)
h_1 = Segment(V_3, V_4)
gelb = 0
blau = 0
grün = 0
türkis = 0
Textfeld1 = Textfield(gelb)
Textfeld2 = Textfield(blau)
Textfeld3 = Textfield(grün)
Textfeld4 = Textfield(türkis)
hallblau = 5.5
dunkelblau = 6
hellgrün = 42
dunkelgrün = 56
qu = 225
o = false
Text3: "Zwischensumme =" + (DE_4 + DE_3 + DE_2 + DE_1) + ""
zs: türkis ≟ DE_1 ∧ grün ≟ DE_2 ∧ blau ≟ DE_3 ∧ gelb ≟ DE_4
ges = 0
Textfeld5 = Textfield(ges)
richtig: zs ∧ ges ≟ VE_1
Text7: "" + (LaTeX[s]) + "^2- " + (LaTeX[DE_1 + DE_2 + DE_3 + DE_4]) + " = " + (LaTeX[VE_1]) + ""