a

c

Variable zeigen

Variable zeigen

Variable zeigen

Summe\;der\;Teilflächen=Gesamtfläche

Variable zeigen

Variable zeigen

Variable zeigen

Flächeninhalt Sechseck

(3 + b) 5 - b 2

(3*5)+(3*b)

((b+3)*2)+(3*2)

b=

b

Flächeninhalt BADOGE

.

.

Term 1

Term 2

Term 3

(b*...)

...

...

b=

...

Tipp: Schreibe mit “ in der Tabelle die Terme auf
Danach schreibe sie als Formel in die Zeile 4 und 
beziehe deinen Wert für b auf die Zelle links daneben.

Gestalte b hier dynamisch

b=

Flächeninhalt

Lösung

Schau in der Tabelle ab Spalte N

A = Intersect(xAxis, yAxis)
a = 3 (slider from 2 to 8, step 1)
b = 13 (slider from 0 to 20, step 1)
c = 5 (slider from 1 to 7, step 1)
B: (0, c)
C: (a, 0)
D: (b + a, 0)
E: (a, c)
F: (b + a, c)
Vieleck1, a_1, c_2, e, b_1 = Polygon(A, C, E, B)
g = false
h = true
k = false
Text1: "" + (LaTeX[If[g, "a", Text[a]]]) + ""
Text2: "" + (LaTeX[If[h, "b", Text[b]]]) + ""
Text4: "" + (LaTeX[If[k, "c", Text[c]]]) + ""
Text3: "" + (LaTeX[If[g ∨ h, Text1]]) + "" + (LaTeX[If[g ∨ h, "\;+\;"]]) + "" + (LaTeX[If[g ∨ h, Text2]]) + "" + (LaTeX[If[(¬g) ∧ (¬h), a + b]]) + ""
Text5: "" + (LaTeX[Text1]) + "\cdot " + (LaTeX[Text4]) + ""
Text7: "" + (LaTeX[Text4]) + ""
Text8: "" + (LaTeX[Text2]) + "\cdot " + (LaTeX[Text4]) + ""
Text6: "" + (LaTeX[If[g ∨ h, "("]]) + " " + (LaTeX[Text3]) + "" + (LaTeX[If[g ∨ h, ")"]]) + "\cdot " + (LaTeX[Text4]) + ""
Text10: "" + (LaTeX[Text5]) + "+" + (LaTeX[Text8]) + "=" + (LaTeX[Text6]) + ""
Text11: "Gesamtfläche\;=\; " + (LaTeX[Text6]) + ""
G = Point(c_2)
O = Point(Circle[G, b])
Vieleck3, b_2, a_2, d_1, o, g_1, e_2 = Polygon(B, A, D, O, G, E)
g_2 = false
h_1 = true
k_1 = false
Text1_1: "" + (LaTeX[If[g_2, "a", Text[a]]]) + ""
Text2_1: "" + (LaTeX[If[h_1, "b", Text[b]]]) + ""
Text4_1: "" + (LaTeX[If[k_1, "c", Text[c]]]) + ""
Text3_1: "" + (LaTeX[If[g_2 ∨ h_1, Text1_1]]) + "" + (LaTeX[If[g_2 ∨ h_1, "\;+\;"]]) + "" + (LaTeX[If[g_2 ∨ h_1, Text2_1]]) + "" + (LaTeX[If[(¬g_2) ∧ (¬h_1), a + b]]) + ""
Text6_1: "" + (LaTeX[If[g_2 ∨ h_1, "("]]) + " " + (LaTeX[Text3_1]) + "" + (LaTeX[If[g_2 ∨ h_1, ")"]]) + "\cdot " + (LaTeX[Text4_1]) + ""
Text11_1: "Gesamtfläche\;=\; " + (LaTeX[Text6_1]) + ""
E1_1 = Name(b)
TextVieleck3: "Fläche von  " + (Name[B]) + (Name[A]) + (Name[D]) + (Name[O]) + (Name[G]) + (Name[E]) + " = " + Vieleck3
PunktVieleck3 = PointIn(Vieleck3)
F1_1: "Fläche von  " + (Name[B]) + (Name[A]) + (Name[D]) + (Name[O]) + (Name[G]) + (Name[E]) + " = " + " ... "
F1_2: "Fläche von  " + (Name[B]) + (Name[A]) + (Name[D]) + (Name[O]) + (Name[G]) + (Name[E]) + " = " + " ... "
H = Midpoint(G, O)
F1_3: "Fläche von  " + (Name[B]) + (Name[A]) + (Name[D]) + (Name[O]) + (Name[G]) + (Name[E]) + " = " + " ... "
N4 = 1
O4 = 18
P4 = 18
Q4 = 18
N5 = 2
O5 = 21
P5 = 21
Q5 = 21
N6 = 3
O6 = 24
P6 = 24
Q6 = 24
N7 = 4
O7 = 27
P7 = 27
Q7 = 27
N8 = 5
O8 = 30
P8 = 30
Q8 = 30
N9 = 6
O9 = 33
P9 = 33
Q9 = 33
N10 = 7
O10 = 36
P10 = 36
Q10 = 36
N11 = 8
O11 = 39
P11 = 39
Q11 = 39
N12 = 9
O12 = 42
P12 = 42
Q12 = 42
N13 = 10
O13 = 45
P13 = 45
Q13 = 45
N14 = 11
O14 = 48
P14 = 48
Q14 = 48
N15 = 12
O15 = 51
P15 = 51
Q15 = 51
N16 = 13
O16 = 54
P16 = 54
Q16 = 54
N17 = 14
O17 = 57
P17 = 57
Q17 = 57
N18 = 15
O18 = 60
P18 = 60
Q18 = 60
N19 = 16
O19 = 63
P19 = 63
Q19 = 63
N20 = 17
O20 = 66
P20 = 66
Q20 = 66
N21 = 18
O21 = 69
P21 = 69
Q21 = 69
N22 = 19
O22 = 72
P22 = 72
Q22 = 72
N23 = 20
O23 = 75
P23 = 75
Q23 = 75
R1_1 = Name(b)
S1_1 = Name(Vieleck3)
W1_1 = Name(Q9)
R3 = 0
S3 = 15
R4 = 17
S4 = 66
R5 = 18
S5 = 69
R6 = 17
S6 = 66
R7 = 15
S7 = 60
R8 = 14
S8 = 57
R9 = 13
S9 = 54
R10 = 12
S10 = 51
R11 = 13
S11 = 54
R12 = 14
S12 = 57
R13 = 15
S13 = 60
R14 = 16
S14 = 63
R15 = 17
S15 = 66
R16 = 18
S16 = 69
R17 = 17
S17 = 66
R18 = 16
S18 = 63
R19 = 15
S19 = 60
R20 = 14
S20 = 57
R21 = 13
S21 = 54
R22 = 12
S22 = 51
R23 = 13
S23 = 54
A4 = 0
A5 = 1
A6 = 2
d = false
f = false