a

b

c

d

Feld ()

a

b

c

(1)

(2)

(3)

(4)

(5)

(6)

(7)

(8)

(10)

(11)

(12)

(13)

(14)

(15)

(16)

(9)

d

aktuell

Tabelle einblenden

Zeilennummern im Diagramm

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

Nummer

Aussage

Code

(b∧c)∨(a∧d)

¬a∧b

a→c

¬a→c

(b∨c)→d

¬(b∧c)→a

a⇔d

(c∧d)∨(a∧b)

¬(b⇔c)

(a∧b)∨(a∧d)∨(c∧d)

“(b∨d)⇔a”

¬(a⇔b)∨d

(b∨c)⇔a

(a∧¬d)∨(¬b∧c)

(b∧c)∨(c∧¬d)

(a⇔b)→c

(a∨b)→(c∧d)

a∨b

(a∨b)∧¬c

d→(b∨c)

aktueller Code:

Färbe das Venn-Diagramm passend zum Term.

Prüfen

Nächste

Richtig!

Falsch, probiere es noch einmal ...

a_1 = 2.4 (slider from -5 to 5, step 0.1)
b_1 = 1.4 (slider from -5 to 5, step 0.1)
c_1: x^(2) / a_1^(2) + y^(2) / b_1^(2) = 1
M: (0, 0)
m = Rotate(c_1, 45°, M)
o = Rotate(c_1, (-(45°)), M)
m_2 = 1 (slider from -5 to 5, step 0.1)
r = 1 (slider from -5 to 5, step 0.1)
M_2: ((-r), ((-m_2) * r))
p = Translate(o, Vector[M, M_2])
M_1: (r, ((-m_2) * r))
n = Translate(m, Vector[M, M_1])
f(x, y) = x^(2) / a_1^(2) + y^(2) / b_1^(2) < 1
c = Rotate(f, 45°, M)
b = Rotate(f, (-(45°)), M)
d = Translate(c, Vector[M, M_1])
a = Translate(b, Vector[M, M_2])
x_1 = 3.5 (slider from -5 to 5, step 0.1)
y_1 = 3.3 (slider from -5 to 5, step 0.1)
e(x, y) = (-x_1) ≤ x ≤ x_1 ∧ (-y_1) ≤ y ≤ y_1 - 1
E_1: ((-x_1), (-y_1))
E_2: (x_1, (-y_1))
E_3: (x_1, y_1 - 1)
E_4: ((-x_1), y_1 - 1)
s_1 = Segment(E_1, E_2)
s_2 = Segment(E_2, E_3)
s_4 = Segment(E_4, E_1)
s_3 = Segment(E_3, E_4)
teil1(x, y) = e(x, y) ∧ (¬(a(x, y))) ∧ (¬(b(x, y))) ∧ (¬(c(x, y))) ∧ (¬(d(x, y)))
teil2(x, y) = (¬(a(x, y))) ∧ (¬(b(x, y))) ∧ (¬(c(x, y))) ∧ d(x, y)
teil8(x, y) = (¬(a(x, y))) ∧ b(x, y) ∧ c(x, y) ∧ d(x, y)
teil9(x, y) = a(x, y) ∧ (¬(b(x, y))) ∧ (¬(c(x, y))) ∧ (¬(d(x, y)))
teil10(x, y) = a(x, y) ∧ (¬(b(x, y))) ∧ (¬(c(x, y))) ∧ d(x, y)
teil11(x, y) = a(x, y) ∧ (¬(b(x, y))) ∧ c(x, y) ∧ (¬(d(x, y)))
teil12(x, y) = a(x, y) ∧ (¬(b(x, y))) ∧ c(x, y) ∧ d(x, y)
teil13(x, y) = a(x, y) ∧ b(x, y) ∧ (¬(c(x, y))) ∧ (¬(d(x, y)))
teil14(x, y) = a(x, y) ∧ b(x, y) ∧ (¬(c(x, y))) ∧ d(x, y)
teil15(x, y) = a(x, y) ∧ b(x, y) ∧ c(x, y) ∧ (¬(d(x, y)))
teil16(x, y) = a(x, y) ∧ b(x, y) ∧ c(x, y) ∧ d(x, y)
teil7(x, y) = (¬(a(x, y))) ∧ b(x, y) ∧ c(x, y) ∧ (¬(d(x, y)))
teil3(x, y) = (¬(a(x, y))) ∧ (¬(b(x, y))) ∧ c(x, y) ∧ (¬(d(x, y)))
teil4(x, y) = (¬(a(x, y))) ∧ (¬(b(x, y))) ∧ c(x, y) ∧ d(x, y)
teil5(x, y) = (¬(a(x, y))) ∧ b(x, y) ∧ (¬(c(x, y))) ∧ (¬(d(x, y)))
teil6(x, y) = (¬(a(x, y))) ∧ b(x, y) ∧ (¬(c(x, y))) ∧ d(x, y)
t1blau = false
t2blau = false
t3blau = false
t4blau = false
t5blau = true
t6blau = true
t7blau = true
t8blau = true
t9blau = true
t10blau = true
t11blau = true
t12blau = true
t13blau = true
t14blau = true
t15blau = true
t16blau = true
DK = 0.5 (slider from 0 to 1, step 0.1)
RG1 = If(t1blau, 0, 1)
RG2 = If(t2blau, 0, 1)
RG3 = If(t3blau, 0, 1)
RG4 = If(t4blau, 0, 1)
RG5 = If(t5blau, 0, 1)
RG6 = If(t6blau, 0, 1)
RG7 = If(t7blau, 0, 1)
RG8 = If(t8blau, 0, 1)
RG9 = If(t9blau, 0, 1)
RG10 = If(t10blau, 0, 1)
RG11 = If(t11blau, 0, 1)
RG12 = If(t12blau, 0, 1)
RG13 = If(t13blau, 0, 1)
RG14 = If(t14blau, 0, 1)
RG15 = If(t15blau, 0, 1)
RG16 = If(t16blau, 0, 1)
B1 = If(t1blau, DK, 1)
B2 = If(t2blau, DK, 1)
B3 = If(t3blau, DK, 1)
B4 = If(t4blau, DK, 1)
B5 = If(t5blau, DK, 1)
B6 = If(t6blau, DK, 1)
B7 = If(t7blau, DK, 1)
B8 = If(t8blau, DK, 1)
B9 = If(t9blau, DK, 1)
B10 = If(t10blau, DK, 1)
B11 = If(t11blau, DK, 1)
B12 = If(t12blau, DK, 1)
B13 = If(t13blau, DK, 1)
B14 = If(t14blau, DK, 1)
B15 = If(t15blau, DK, 1)
B16 = If(t16blau, DK, 1)
E3: 0
F3: 0
G3: 0
E4: 0
F4: 0
G4: 0
E5: 0
F5: 0
G5: 1
E6: 0
F6: 0
G6: 1
F7: 1
G7: 0
F8: 1
G8: 0
F9: 1
G9: 1
F10: 1
G10: 1
E11: 1
E12: 1
E13: 1
E14: 1
E15: 1
E16: 1
E17: 1
E18: 1
E7: 0
E8: 0
E9: 0
E10: 0
H3: 0
H4: 1
H5: 0
H6: 1
H7: 0
H8: 1
H9: 0
H10: 1
G11: 0
G12: 0
G13: 1
G14: 1
H11: 0
H12: 1
H13: 0
H14: 1
G15: 0
G16: 0
G17: 1
G18: 1
H15: 0
H16: 1
H17: 0
H18: 1
F11: 0
F12: 0
F13: 0
F14: 0
F15: 1
F16: 1
F17: 1
F18: 1
I3 = If(t1blau, 1, 0)
I4 = If(t2blau, 1, 0)
I5 = If(t3blau, 1, 0)
I6 = If(t4blau, 1, 0)
I7 = If(t5blau, 1, 0)
I8 = If(t6blau, 1, 0)
I9 = If(t7blau, 1, 0)
I10 = If(t8blau, 1, 0)
I11 = If(t9blau, 1, 0)
I12 = If(t10blau, 1, 0)
I13 = If(t11blau, 1, 0)
I14 = If(t12blau, 1, 0)
I15 = If(t13blau, 1, 0)
I17 = If(t15blau, 1, 0)
I18 = If(t16blau, 1, 0)
I16 = If(t14blau, 1, 0)
Text5 = TableText({{D2, E2, F2, G2, H2, I2}, {D3, E3, F3, G3, H3, I3}, {D4, E4, F4, G4, H4, I4}, {D5, E5, F5, G5, H5, I5}, {D6, E6, F6, G6, H6, I6}, {D7, E7, F7, G7, H7, I7}, {D8, E8, F8, G8, H8, I8}, {D9, E9, F9, G9, H9, I9}, {D10, E10, F10, G10, H10, I10}, {D11, E11, F11, G11, H11, I11}, {D12, E12, F12, G12, H12, I12}, {D13, E13, F13, G13, H13, I13}, {D14, E14, F14, G14, H14, I14}, {D15, E15, F15, G15, H15, I15}, {D16, E16, F16, G16, H16, I16}, {D17, E17, F17, G17, H17, I17}, {D18, E18, F18, G18, H18, I18}}, "|_cccccc")
g = true
h = false
K3: 1
K4: 2
K5 = 3
K6 = 4
K7 = 5
K8 = 6
K9 = 7
K10 = 8
K11 = 9
K12 = 10
K13 = 11
K14 = 12
K15 = 13
K16 = 14
K17 = 15
K18 = 16
K19: 17
K20: 18
K21: 19
K22: 20
M3: 65520
M4: 13104
M5: 60096
M6: 240
M7: 52479
M8: 65484
M9: 43947
M1: t1blau + (t2blau * 2) + (t3blau * 4) + (t4blau * 8) + (t5blau * 16) + (t6blau * 32) + (t7blau * 64) + (t8blau * 128) + (t9blau * 256) + (t10blau * 512) + (t11blau * 1024) + (t12blau * 2048) + (t13blau * 4096) + (t14blau * 8192) + (t15blau * 16384) + (t16blau * 32768)
M10: 65021
M11: 65472
M12: 43605
M13: 63624
M14: 15420
M15: 64136
M16: 64005
M17: 45050
M18: 64515
M19: 23820
M20: 50372
M21: 53244
M22: 34959
aussagen: {{L3, M3}, {L4, M4}, {L5, M5}, {L6, M6}, {L7, M7}, {L8, M8}, {L9, M9}, {L10, M10}, {L11, M11}, {L12, M12}, {L13, M13}, {L14, M14}, {L15, M15}, {L16, M16}, {L17, M17}, {L18, M18}, {L19, M19}, {L20, M20}, {L21, M21}, {L22, M22}}
Nr = 1 (slider from 1 to Length[aussagen], step 1)
Text26 = Element(aussagen, Nr, 1)
Text27: "" + Nr + ")"
codezahl = Element(aussagen, Nr, 2)
versuch: M1
korrekt: versuch ≟ codezahl
prüfen = false
A = (3.96, -3.43)
B = (6.37, -3.43)
s = 0.358 (slider from 0.1 to 0.5, step 0.001)
u = Vector((0, 0), (0, s))
A_1: (x(A), y(A) + s)
B_1: (x(B), y(B) + s)
V_{16}, a_2, b_2, i, j = Polygon(A, B, B_1, A_1)
A' = Translate(A, u)
B' = Translate(B, u)
C = Translate(B_1, u)
D = Translate(A_1, u)
V_{15}, a', b', c_2, d_1 = Polygon(A', B', C, D)
A'_1 = Translate(A, Vector[(2 * u)])
B'_1 = Translate(B, Vector[(2 * u)])
E = Translate(B_1, Vector[(2 * u)])
F = Translate(A_1, Vector[(2 * u)])
V_{14}, a'_1, b'_1, e_1, f_1 = Polygon(A'_1, B'_1, E, F)
A'_2 = Translate(A, Vector[(3 * u)])
B'_2 = Translate(B, Vector[(3 * u)])
G = Translate(B_1, Vector[(3 * u)])
H = Translate(A_1, Vector[(3 * u)])
V_{13}, a'_2, b'_2, g_1, h_1 = Polygon(A'_2, B'_2, G, H)
A'_3 = Translate(A, Vector[(4 * u)])
B'_3 = Translate(B, Vector[(4 * u)])
I = Translate(B_1, Vector[(4 * u)])
J = Translate(A_1, Vector[(4 * u)])
V_{12}, a'_3, b'_3, i_1, j_1 = Polygon(A'_3, B'_3, I, J)
A'_4 = Translate(A, Vector[(5 * u)])
B'_4 = Translate(B, Vector[(5 * u)])
K = Translate(B_1, Vector[(5 * u)])
L = Translate(A_1, Vector[(5 * u)])
V_{11}, a'_4, b'_4, k, l = Polygon(A'_4, B'_4, K, L)
A'_5 = Translate(A, Vector[(6 * u)])
B'_5 = Translate(B, Vector[(6 * u)])
N = Translate(B_1, Vector[(6 * u)])
O = Translate(A_1, Vector[(6 * u)])
V_{10}, a'_5, b'_5, n_1, o_1 = Polygon(A'_5, B'_5, N, O)
A'_6 = Translate(A, Vector[(7 * u)])
B'_6 = Translate(B, Vector[(7 * u)])
P = Translate(B_1, Vector[(7 * u)])
Q = Translate(A_1, Vector[(7 * u)])
V_9, a'_6, b'_6, p_1, q = Polygon(A'_6, B'_6, P, Q)
A'_7 = Translate(A, Vector[(8 * u)])
B'_7 = Translate(B, Vector[(8 * u)])
R = Translate(B_1, Vector[(8 * u)])
S = Translate(A_1, Vector[(8 * u)])
V_8, a'_7, b'_7, r_1, s_5 = Polygon(A'_7, B'_7, R, S)
A'_8 = Translate(A, Vector[(9 * u)])
B'_8 = Translate(B, Vector[(9 * u)])
T = Translate(B_1, Vector[(9 * u)])
U = Translate(A_1, Vector[(9 * u)])
V_7, a'_8, b'_8, t, u_1 = Polygon(A'_8, B'_8, T, U)
A'_9 = Translate(A, Vector[(10 * u)])
B'_9 = Translate(B, Vector[(10 * u)])
V = Translate(B_1, Vector[(10 * u)])
W = Translate(A_1, Vector[(10 * u)])
V_6, a'_9, b'_9, v, w = Polygon(A'_9, B'_9, V, W)
A'_{10} = Translate(A, Vector[(11 * u)])
B'_{10} = Translate(B, Vector[(11 * u)])
Z = Translate(B_1, Vector[(11 * u)])
C_1 = Translate(A_1, Vector[(11 * u)])
V_5, a'_{10}, b'_{10}, z_1, k_1 = Polygon(A'_{10}, B'_{10}, Z, C_1)
A'_{11} = Translate(A, Vector[(12 * u)])
B'_{11} = Translate(B, Vector[(12 * u)])
D_1 = Translate(B_1, Vector[(12 * u)])
F_1 = Translate(A_1, Vector[(12 * u)])
V_4, a'_{11}, b'_{11}, l_1, m_1 = Polygon(A'_{11}, B'_{11}, D_1, F_1)
A'_{12} = Translate(A, Vector[(13 * u)])
B'_{12} = Translate(B, Vector[(13 * u)])
G_1 = Translate(B_1, Vector[(13 * u)])
H_1 = Translate(A_1, Vector[(13 * u)])
V_3, a'_{12}, b'_{12}, q_1, t_1 = Polygon(A'_{12}, B'_{12}, G_1, H_1)
A'_{13} = Translate(A, Vector[(14 * u)])
B'_{13} = Translate(B, Vector[(14 * u)])
I_1 = Translate(B_1, Vector[(14 * u)])
J_1 = Translate(A_1, Vector[(14 * u)])
V_2, a'_{13}, b'_{13}, f_2, g_2 = Polygon(A'_{13}, B'_{13}, I_1, J_1)
A'_{14} = Translate(A, Vector[(15 * u)])
B'_{14} = Translate(B, Vector[(15 * u)])
K_1 = Translate(B_1, Vector[(15 * u)])
L_1 = Translate(A_1, Vector[(15 * u)])
V_1, a'_{14}, b'_{14}, h_2, i_2 = Polygon(A'_{14}, B'_{14}, K_1, L_1)