a

b

c

(8)

(3)

(5)

(7)

Richtig!

(4)

(1)

(2)

Aussage

Code

B1

B2

B3

B4

B5

B6

B7

B8

Nummer

Feld ()

a

b

c

(1)

(2)

(3)

(4)

(5)

(6)

(7)

(8)

Tabelle einblenden

Feldnummern passend zu Tabellenzeilen einblenden

Färbe das Venn-Diagramm passend zum Term.

W

Prüfen

Nächste

Noch falsch, probiere es noch einmal ...

(6)

¬a∧¬b∧¬c

¬a∧¬b∧c

¬a∧b∧¬c

¬a∧b∧c

a∧¬b∧¬c

a∧¬b∧c

a∧b∧¬c

a∧b∧c

a

a∧b

b∨c

(a∨b)∨c

¬(a∨c)∨b

(a∨b)∧c

(a∨b)∧¬c

(a∧¬b)∨(¬b∧c)

(a∧b)∨(b∧c)∨(a∧c)

(a∧c)∨(b∧¬c)

(a∧b)→c

a→(b∧c)

P_1 = (4.53, -2.6)
Q_1: (7.76, -2.6)
s = 0.565 (slider from 0.5 to 1.5, step 0.005)
Q_2: (x(Q_1), y(Q_1) + s)
P_2: (x(P_1), y(P_1) + s)
Q_9: (x(Q_1), y(Q_1) + (8 * s))
Q_8: (x(Q_1), y(Q_1) + (7 * s))
P_9: (x(P_1), y(P_1) + (8 * s))
P_8: (x(P_1), y(P_1) + (7 * s))
r = 1.6 (slider from 0.5 to 7.5, step 0.1)
d = -1 (slider from -5 to 5, step 0.1)
k = 1.5 (slider from 1 to 2, step 0.05)
M_1: (0, d)
M_2: (((-cos(30°)) * d), ((-sin(30°)) * d))
M_3: ((cos(30°) * d), ((-sin(30°)) * d))
k_1 = Circle(M_1, r)
k_2 = Circle(M_2, r)
k_3 = Circle(M_3, r)
a(x, y) = x^(2) + (y - d)^(2) ≤ r^(2)
b(x, y) = (x + (cos(30°) * d))^(2) + (y + (sin(30°) * d))^(2) ≤ r^(2)
c(x, y) = (x - (cos(30°) * d))^(2) + (y + (sin(30°) * d))^(2) ≤ r^(2)
M_0: (0, 0)
teil5(x, y) = (¬(a(x, y))) ∧ (¬(b(x, y))) ∧ c(x, y)
teil3(x, y) = (¬(a(x, y))) ∧ b(x, y) ∧ (¬(c(x, y)))
teil6(x, y) = a(x, y) ∧ (¬(b(x, y))) ∧ c(x, y)
teil4(x, y) = a(x, y) ∧ b(x, y) ∧ (¬(c(x, y)))
teil8(x, y) = a(x, y) ∧ b(x, y) ∧ c(x, y)
teil7(x, y) = (¬(a(x, y))) ∧ b(x, y) ∧ c(x, y)
teil2(x, y) = a(x, y) ∧ (¬(b(x, y))) ∧ (¬(c(x, y)))
teil1blau = false
teil2blau = false
teil3blau = false
teil4blau = false
teil5blau = false
teil6blau = false
teil7blau = false
teil8blau = false
v1, f, g, h, i = Polygon(P_8, Q_8, Q_9, P_9)
t = 3 (slider from -5 to 5)
e(x, y) = (-t) ≤ x ≤ t ∧ (-t) ≤ y ≤ (5 / 6 * t)
teil1(x, y) = (¬(a(x, y))) ∧ (¬(b(x, y))) ∧ (¬(c(x, y))) ∧ e(x, y)
DK = 0.5 (slider from 0 to 1, step 0.1)
RG1 = If(teil1blau, 0, 1)
RG2 = If(teil2blau, 0, 1)
RG3 = If(teil3blau, 0, 1)
RG4 = If(teil4blau, 0, 1)
RG5 = If(teil5blau, 0, 1)
RG6 = If(teil6blau, 0, 1)
RG7 = If(teil7blau, 0, 1)
RG8 = If(teil8blau, 0, 1)
B1 = If(teil1blau, DK, 1)
B2 = If(teil2blau, DK, 1)
B3 = If(teil3blau, DK, 1)
B4 = If(teil4blau, DK, 1)
B5 = If(teil5blau, DK, 1)
B6 = If(teil6blau, DK, 1)
B7 = If(teil7blau, DK, 1)
B8 = If(teil8blau, DK, 1)
C2: 1
C3: 2
C4 = 3
C5 = 4
C6 = 5
C7 = 6
C8 = 7
C9 = 8
C10 = 9
C11 = 10
C12 = 11
C13 = 12
C14 = 13
C15 = 14
C16 = 15
C17 = 16
C18 = 17
C19 = 18
C20 = 19
C21 = 20
H7: 0
I7: 0
J7: 0
H8: 0
I8: 0
J8: 1
H9: 0
I9: 1
J9: 0
H10: 0
I10: 1
J10: 1
H11: 1
I11: 0
J11: 0
H12: 1
I12: 0
J12: 1
H13: 1
I13: 1
J13: 0
H14: 1
I14: 1
J14: 1
Nr = 1 (slider from 1 to Length[{{"a", 16 + 32 + 64 + 128}, {"b", 4 + 8 + 64 + 128}, {"c", 2 + 8 + 32 + 128}, {"a∧b", 64 + 128}, {"b∧c", 8 + 128}, {"a∨b", 4 + 8 + 16 + 32 + 64 + 128}, {"a∨c", 2 + 8 + 16 + 32 + 64 + 128}, {"a∧b∧c", 128}, {"(a∨b)∧¬c", 4 + 16 + 64}, {"(a∧¬b)∨(¬b∧c)", 2 + 16 + 32}, {"¬a∧¬b∧¬c", 1}, {"¬a∧¬b∧c", 2}, {"¬a∧b∧¬c", 4}, {"¬a∧b∧c", 8}, {"a∧¬b∧¬c", 16}, {"a∧¬b∧c", 32}, {"a∧b∧¬c", 64}, {"a∧b∧c", 128}, {"(a∨b)∨c", 254}, {"(a∨b)∧c", 8 + 32 + 128}}], step 1)
K7 = If(teil1blau, 1, 0)
K8 = If(teil2blau, 1, 0)
K9 = If(teil3blau, 1, 0)
K10 = If(teil4blau, 1, 0)
K12 = If(teil6blau, 1, 0)
K11 = If(teil5blau, 1, 0)
K13 = If(teil7blau, 1, 0)
K14 = If(teil8blau, 1, 0)
tabellesichtbar = true
zeilennummern = false
Text7: "" + Nr + ")"
versuch: (teil8blau * 128) + (teil7blau * 64) + (teil6blau * 32) + (teil5blau * 16) + (teil4blau * 8) + (teil3blau * 4) + (teil2blau * 2) + teil1blau
prüfen = false
P_3: (x(P_1), y(P_1) + (2 * s))
P_4: (x(P_1), y(P_1) + (3 * s))
P_5: (x(P_1), y(P_1) + (4 * s))
P_6: (x(P_1), y(P_1) + (5 * s))
P_7: (x(P_1), y(P_1) + (6 * s))
Q_3: (x(Q_1), y(Q_1) + (2 * s))
Q_4: (x(Q_1), y(Q_1) + (3 * s))
Q_5: (x(Q_1), y(Q_1) + (4 * s))
Q_6: (x(Q_1), y(Q_1) + (5 * s))
Q_7: (x(Q_1), y(Q_1) + (6 * s))
P9 = NaN
v2, p_7, q_7, q_8, p_8 = Polygon(P_7, Q_7, Q_8, P_8)
v3, p_6, q_6, j, l = Polygon(P_6, Q_6, Q_7, P_7)
v4, p_5, q_5, m, n = Polygon(P_5, Q_5, Q_6, P_6)
v5, p_4, q_4, p, q = Polygon(P_4, Q_4, Q_5, P_5)
v6, p_3, q_3, f_1, g_1 = Polygon(P_3, Q_3, Q_4, P_4)
v7, p_2, q_2, h_1, i_1 = Polygon(P_2, Q_2, Q_3, P_3)
v8, p_1, q_1, j_1, l_1 = Polygon(P_1, Q_1, Q_2, P_2)
v0, m_1, n_1, r_1, s_1 = Polygon(((-t), (-t)), (t, (-t)), (t, (5 / 6 * t)), ((-t), (5 / 6 * t)))
E2: 1
E3: 2
E4: 4
E5: 8
E6: 16
E7: 32
E8: 64
E9: 128
E10: 240
E11: 192
E12: 2 + 4 + 8 + 32 + 64 + 128
E13: 254
E14: 1 + 4 + 8 + 64 + 128
E15: 168
E16: 84
E18: 50
E17: 8 + 32 + 64 + 128
E19: 4 + 32 + 64 + 128
E20: 255 - 64
E21: 255 - (16 + 32 + 64)
aussagen: {{D2, E2}, {D3, E3}, {D4, E4}, {D5, E5}, {D6, E6}, {D7, E7}, {D8, E8}, {D9, E9}, {D10, E10}, {D11, E11}, {D12, E12}, {D13, E13}, {D14, E14}, {D15, E15}, {D16, E16}, {D17, E17}, {D18, E18}, {D19, E19}, {D20, E20}, {D21, E21}}
K6 = Element(aussagen, Nr, 1)
Text4 = TableText({{G6, H6, I6, J6, K6}, {G7, H7, I7, J7, K7}, {G8, H8, I8, J8, K8}, {G9, H9, I9, J9, K9}, {G10, H10, I10, J10, K10}, {G11, H11, I11, J11, K11}, {G12, H12, I12, J12, K12}, {G13, H13, I13, J13, K13}, {G14, H14, I14, J14, K14}}, "|_ccccc")
Text6 = Element(aussagen, Nr, 1)
codezahl = Element(aussagen, Nr, 2)
korrekt: codezahl ≟ versuch