Zum Inhalt springen

Änderungen von Dokument BPE 3.1 Eigenschaften und Formen

Zuletzt geändert von Holger Engels am 2025/04/09 13:57
Von Version 90.1
bearbeitet von Niklas Wunder
am 2024/12/17 17:24
Änderungskommentar: Es gibt keinen Kommentar für diese Version
Auf Version 113.1
bearbeitet von Holger Engels
am 2024/12/18 13:40
Änderungskommentar: Neues Bild 1-fach.svg hochladen

Zusammenfassung

Details

Seiteneigenschaften
Dokument-Autor
... ... @@ -1,1 +1,1 @@
1 -XWiki.niklaswunder
1 +XWiki.holgerengels
Inhalt
... ... @@ -1,16 +1,28 @@
1 1  {{seiteninhalt/}}
2 2  
3 -[[Kompetenzen.K4]] Ich kenne die Produktform der Polynomfunktion
4 4  [[Kompetenzen.K5]] Ich kenne die allgemeine Form der Polynomfunktion
5 -[[Kompetenzen.K3]] [[Kompetenzen.K4]] Ich kann die für den Anwendungsfall geeignete Darstellungsform wählen
6 -[[Kompetenzen.K1]] [[Kompetenzen.K4]] Ich kann die Wahl der Darstellungsform im Anwendungskontext begründen
4 +[[Kompetenzen.K4]] Ich kenne die Produktform der Polynomfunktion
5 +[[Kompetenzen.K4]] Ich kenne die Scheitelform der quadratischen Funktion [[→ BPE 2.2>>BPE_2_2]]
6 +[[Kompetenzen.K4]] Ich kann Polynomfunktionen mithilfe unterschiedlicher Darstellungsformen beschreiben
7 +[[Kompetenzen.K1]] [[Kompetenzen.K6]] Ich kann die Wahl der Form im mathematischen Kontext begründen
8 +[[Kompetenzen.K1]] [[Kompetenzen.K3]] [[Kompetenzen.K6]] Ich kann die Wahl der Form im anwendungsorientierten Kontext begründen [[→ BPE 3.5>>BPE_3_5]]
7 7  
10 +Wiederholen (qF): Darstellungsformen von quadratischen Funktionen (SF, PF, HF)
11 +Wiederholen (qF): Eingehen auf verschiedene Eigenschaften (Vorteile, Nachteile) der DF
12 +Kennen: algebraische DF von PF, HF von Polynomfunktionen
13 +Input: Vorgegebene Schaubilder vergleichen (Gemeinsamkeiten, Unterschiede)
14 +"Beschreiben": Form 'fühlen' (Globalverhalten, Lokalverhalten); vgl. Buchstaben-Formen (N, W) Nulltellentypen (einfach vs mehrfach (gerade vs ungerade))
15 +
8 8  {{lernende}}
9 9  [[Nullstellen und Vielfachheiten interaktiv>>https://kmap.eu/app/browser/Mathematik/Ganzrationale%20Funktionen/Produktform#erkunden]]
10 10  {{/lernende}}
11 11  
12 -{{aufgabe id="Schaubilder zuordnen Teil 1" afb="II" kompetenzen="K3,K4" quelle="Niklas Wunder, Katharina Schneider" zeit="5"}}
13 -Ordne die Funktionsterme den 5 Schaubildern zu. Begründe deine Wahl.
20 +{{aufgabe id="Arithmagon Quadratische Formen" afb="I" kompetenzen="K4" quelle="Martina Wagner" cc="by-sa" zeit="5"}}
21 +[[image:Arithmagon Quadratische Formen.svg||width=500 style=float:left]]
22 +{{/aufgabe}}
23 +
24 +{{aufgabe id="Schaubilder zuordnen Teil 1" afb="II" kompetenzen="K4" quelle="Niklas Wunder, Katharina Schneider" cc="by-sa" zeit="5"}}
25 +[[image:Polynome_zuordnen-Grad_drei.svg||width=500 style=float:right]]Ordne die Funktionsterme den 5 Schaubildern zu. Begründe deine Wahl.
14 14  (% style="list-style: alphastyle" %)
15 15  1. {{formula}}f_1(x)=x^3{{/formula}}
16 16  1. {{formula}}f_2(x)=-x^2\cdot(x-3){{/formula}}
... ... @@ -17,68 +17,60 @@
17 17  1. {{formula}}f_3(x)=0{,}5\,x^3{{/formula}}
18 18  1. {{formula}}f_4(x)=0{,}5\,x^3+2\,x^2-3{{/formula}}
19 19  1. {{formula}}f_5(x)=-x^3-2\,x^2+2{{/formula}}
20 -
21 -[[Abbildung 1>>image:geogebra_polynome_dritten_Grades.png||width=640 height=402]]
22 -
23 23  {{/aufgabe}}
24 24  
25 -{{aufgabe id="Schaubilder zuordnen Teil 2" afb="II" kompetenzen="K3,K4" quelle="Niklas Wunder, Katharina Schneider" zeit="5"}}
26 -Ordne die Funktionsterme den 5 Schaubildern zu. Begründe deine Wahl.
34 +{{aufgabe id="Schaubilder zuordnen Teil 2" afb="II" kompetenzen="K4" quelle="Niklas Wunder, Katharina Schneider" cc="by-sa" zeit="5"}}
35 +[[image:Polynome_zuordnen-Grad_vier.svg||width=500 style="float:right"]]Ordne die Funktionsterme den 5 Schaubildern zu. Begründe deine Wahl.
27 27  (% style="list-style: alphastyle" %)
28 28  1. {{formula}}f_1(x)=-0{,}25\,x^4{{/formula}}
29 -1. {{formula}}f_2(x)=-0{,}5\,x^4-1{,}5\,x^3-1{,}5\,x^2-1{{/formula}}
38 +1. {{formula}}f_2(x)=-0{,}5\,x^4-1{,}5\,x^3-1{,}5\,x^2+1{{/formula}}
30 30  1. {{formula}}f_3(x)=-x^4{{/formula}}
31 31  1. {{formula}}f_4(x)=-x^4-x^3+2x^2+2{{/formula}}
32 32  1. {{formula}}f_5(x)=-0{,}3\cdot (x+2)^2\cdot(x-2)^2+4{{/formula}}
33 -
34 -[[Abbildung 1>>image:Polynome_zuordnen-Grad_vier.png||width=640 height=402]]
35 -
36 36  {{/aufgabe}}
37 37  
38 38  {{aufgabe id="Produktform" afb="I" kompetenzen="K4" quelle="Juliane Maier" cc="BY-SA" zeit="10"}}
39 39  Bestimme zu den abbgebildeten Funktionsgraphen eine mögliche Funktionsgleichung in Produktform.
40 -
41 -[[Abbildung 1>>image:Graphen Produktform.png||width=640 height=402]]
42 -
46 +[[image:Graphen Produktform.png||width=600]]
43 43  {{/aufgabe}}
44 44  
45 -{{aufgabe id="Skizzieren" afb="I" kompetenzen="K4" quelle="Juliane Maier" cc="BY-SA"}}
46 -Gegeben ist die Funktion {{formula}}f{{/formula}} mit {{formula}}D=\mathbb{R}{{/formula}}. Skizziere den Funktionsgraphen.
47 -(% style="list-style: alphastyle" %)
48 -1. {{formula}}f(x)=(x-2)^3{{/formula}}
49 -1. {{formula}}f(x)=x^4-x^2{{/formula}}
50 -{{/aufgabe}}
51 -
52 -{{aufgabe id="Immer, manchmal, nie" afb="III" kompetenzen="K1,K5" quelle="Niklas Wunder, Katharina Schneider" zeit="12"}}
49 +{{aufgabe id="Immer, manchmal, nie" afb="III" kompetenzen="K1,K5" quelle="Niklas Wunder, Katharina Schneider" cc="by-sa" zeit="12"}}
53 53  Beurteile, ob die folgenden Aussagen immer, nie oder manchmal unter bestimmten Bedingungen zutreffen. Begründe deine Entscheidung.
54 54  (% style="list-style: alphastyle" %)
55 55  1. Der Graph von {{formula}}f{{/formula}} mit {{formula}}f(x)=-3\cdot x^n {{/formula}} verläuft für ein gerades n von links unten nach rechts unten.
56 -1. Der Graph einer Polynomfunktion mit einem ungeraden Grad hat mindestens eine Nullstelle.
53 +1. Der Graph einer Polynomfunktion mit einem ungeraden Grad hat mindestens eine Nullstelle.
57 57  1. Der Graph einer zum Ursprung symmetrischen Funktion geht durch den Punkt (1|1).
58 58  1. Es gibt mindestens eine Funktion 5.Grades, die keine Nullstelle besitzt.
59 59  1. Der Graph einer achsensymmetrischen Funktion hat mindestens eine Nullstelle.
60 -1. Durch die beiden Punkte P(-2|1) und Q(2|2) verläuft kein Graph einer Funktion vierten Grades.
57 +1. Durch die beiden Punkte P(-2|1) und Q(2|2) verläuft kein Graph einer Funktion vierten Grades.
58 +{{/aufgabe}}
61 61  
62 - {{/aufgabe}}
60 +{{aufgabe id="Vieta" afb="II" kompetenzen="K2,K5" quelle="Martin Rathgeb, Martina Wagner" cc="BY-SA" zeit="10"}}
61 +Ermittle die fehlenden Zahlen bzw. Terme.
62 +(% class="abc" %)
63 +1. {{formula}}x^2+\square x + \square=(x-5)(x+7){{/formula}}
64 +1. {{formula}}x^2+\square x - 12=(x-4)(x-\square){{/formula}}
65 +1. {{formula}}x^2-12 x + \square=(x-4)(x-\square){{/formula}}
66 +1. {{formula}}x^2+\square x + \square=(x-a)(x-b){{/formula}}
67 +{{/aufgabe}}
63 63  
64 -
65 -{{aufgabe id="Darstellungsformen umwandeln" afb="II" kompetenzen="K3,K4" quelle="Niklas Wunder, Katharina Schneider" zeit="15"}}
69 +{{aufgabe id="Darstellungsformen umwandeln" afb="II" kompetenzen="K5" quelle="Niklas Wunder, Katharina Schneider" cc="by-sa" zeit="15"}}
66 66  Wandle in die entsprechend andere Darstellungsform um (Hauptform bzw. Produktform).
67 67  (% style="list-style: alphastyle" %)
68 68  1. {{formula}}f(x)=-\frac{1}{16}\cdot (x-2)^2\cdot (x-8){{/formula}}
69 69  1. {{formula}}f(x)=(x-3)\cdot (x^2+3x+9){{/formula}}
70 -1. {{formula}}f(x)=3\,x^3-33\,x^2+96\,x-84{{/formula}}
71 - Hinweis: Die Funktion f besitzt nur die beiden Nullstellen {{formula}} x_1 =1 {{/formula}} und {{formula}} x_2 =7 {{/formula}}.
74 +1. {{formula}}f(x)=3\,x^3-33\,x^2+96\,x-84{{/formula}}
75 +Hinweis: Die Funktion //f// besitzt nur die beiden Nullstellen {{formula}} x_1 =1 {{/formula}} und {{formula}} x_2 =7 {{/formula}}.
72 72  1. {{formula}}f(x)=-2\,x^4+18\,x^2+8\,x-24{{/formula}}
73 -Hinweis: Die Funktion f besitzt nur die Nullstellen {{formula}} x_1 =-2, x_2=1 {{/formula}} und {{formula}} x_3 =3 {{/formula}}.
77 +Hinweis: Die Funktion //f// besitzt nur die Nullstellen {{formula}} x_1 =-2, x_2=1 {{/formula}} und {{formula}} x_3 =3 {{/formula}}.
74 74  {{/aufgabe}}
75 75  
76 -{{aufgabe id="Parabelmaschine" afb="II" kompetenzen="K2, K5" tags="problemlösen" quelle="Simon Oswald" cc="BY-SA" zeit="20"}}
80 +{{aufgabe id="Parabelmaschine" afb="II" kompetenzen="K2, K5" tags="problemlösen" quelle="Simon Oswald" cc="BY-SA" cc="by-sa" zeit="20"}}
77 77  [[image:Parabelmaschine.PNG||width="240" style="float: right"]]
78 78  Denke dir zwei Zahlen, eine positiv, eine negativ.
79 79  Wenn du diese Zahlen quadrierst, erhältst du zwei Punkte auf der Normalparabel.
80 80  
81 -Ermitteln Sie, wo die Verbindungslinie dieser zwei Punkte die y-Achse schneidet!
85 +Ermittle, wo die Verbindungslinie dieser zwei Punkte die y-Achse schneidet!
82 82  
83 83  {{lehrende}}
84 84  **Variante :** Offene Aufgabe für den Unterricht & für die Klassenarbeit
... ... @@ -98,11 +98,7 @@
98 98  {{/lehrende}}
99 99  {{/aufgabe}}
100 100  
101 -{{lehrende}}
102 -[[Polynomfunktionsgraphen begreifen]]
103 -{{/lehrende}}
104 -
105 -{{aufgabe id="Parameter bestimmen" afb="III" kompetenzen="K4" quelle="Katharina Schneider,Niklas Wunder" cc="BY-SA"}}
105 +{{aufgabe id="Parameter bestimmen" afb="III" kompetenzen="K4,K5" quelle="Katharina Schneider,Niklas Wunder" cc="BY-SA"}}
106 106  Gegeben sind die Funktionsterme der Funktionen {{formula}}f,g,h,k{{/formula}} sowie Punkte, durch die das Schaubild der jeweiligen Funktion verläuft. Bestimme die fehlenden Parameter für jede Funktion.
107 107  (% style="list-style: alphastyle" %)
108 108  1. {{formula}}f(x)=a\cdot (x-3)\cdot (x-5)^2{{/formula}} mit {{formula}} P(5|20) {{/formula}}
... ... @@ -111,4 +111,9 @@
111 111  1. {{formula}} k(x)= a\cdot(x-b)^3-7 {{/formula}} mit {{formula}} P(2|-7) {{/formula}} und {{formula}} Q(0|-5) {{/formula}}
112 112  {{/aufgabe}}
113 113  
114 -{{seitenreflexion bildungsplan="1" kompetenzen="2" anforderungsbereiche="3" kriterien="1" menge="0"/}}
114 +{{lehrende}}
115 +[[Polynomfunktionsgraphen begreifen]]
116 +K3 soll hier nicht bedient werden .. das kommt in BPE 3.5
117 +{{/lehrende}}
118 +
119 +{{seitenreflexion bildungsplan="4" kompetenzen="4" anforderungsbereiche="5" kriterien="4" menge="5"/}}
Polynome_zuordnen-Grad_drei.ggb
Author
... ... @@ -1,1 +1,1 @@
1 -XWiki.katharinaschneider
1 +XWiki.holgerengels
Größe
... ... @@ -1,1 +1,1 @@
1 -65.7 KB
1 +104.0 KB
Inhalt
Polynome_zuordnen-Grad_vier.ggb
Author
... ... @@ -1,1 +1,1 @@
1 -XWiki.katharinaschneider
1 +XWiki.holgerengels
Größe
... ... @@ -1,1 +1,1 @@
1 -65.3 KB
1 +92.5 KB
Inhalt
Polynome_zuordnen-Grad_vier.png
Author
... ... @@ -1,1 +1,0 @@
1 -XWiki.katharinaschneider
Größe
... ... @@ -1,1 +1,0 @@
1 -834.8 KB
Inhalt
geogebra_polynome_dritten_Grades.png
Author
... ... @@ -1,1 +1,0 @@
1 -XWiki.katharinaschneider
Größe
... ... @@ -1,1 +1,0 @@
1 -851.0 KB
Inhalt
1-fach.svg
Author
... ... @@ -1,0 +1,1 @@
1 +XWiki.holgerengels
Größe
... ... @@ -1,0 +1,1 @@
1 +3.9 KB
Inhalt
... ... @@ -1,0 +1,1 @@
1 +<svg version="1.1" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" width="285" height="99"><defs><clipPath id="UPMderszyMNI"><path fill="none" stroke="none" d=" M 0 0 L 285 0 L 285 99 L 0 99 L 0 0 Z"/></clipPath></defs><g transform="scale(1,1)" clip-path="url(#UPMderszyMNI)"><g><rect fill="rgb(255,255,255)" stroke="none" x="0" y="0" width="285" height="99" fill-opacity="1"/><path fill="none" stroke="rgb(192,192,192)" paint-order="fill stroke markers" d=" M 45.5 0.5 L 45.5 99.5 M 45.5 0.5 L 45.5 99.5 M 139.5 0.5 L 139.5 99.5 M 233.5 0.5 L 233.5 99.5" stroke-opacity="1" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10"/><path fill="none" stroke="rgb(192,192,192)" paint-order="fill stroke markers" d=" M 8.5 0.5 L 8.5 99.5 M 27.5 0.5 L 27.5 99.5 M 64.5 0.5 L 64.5 99.5 M 83.5 0.5 L 83.5 99.5 M 102.5 0.5 L 102.5 99.5 M 121.5 0.5 L 121.5 99.5 M 158.5 0.5 L 158.5 99.5 M 177.5 0.5 L 177.5 99.5 M 196.5 0.5 L 196.5 99.5 M 215.5 0.5 L 215.5 99.5 M 252.5 0.5 L 252.5 99.5 M 271.5 0.5 L 271.5 99.5" stroke-opacity="0.23529411764705882" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10"/><path fill="none" stroke="rgb(192,192,192)" paint-order="fill stroke markers" d="" stroke-opacity="1" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10"/><path fill="none" stroke="rgb(192,192,192)" paint-order="fill stroke markers" d=" M 0.5 11.5 L 285.5 11.5 M 0.5 11.5 L 285.5 11.5 M 0.5 30.5 L 285.5 30.5 M 0.5 68.5 L 285.5 68.5 M 0.5 86.5 L 285.5 86.5" stroke-opacity="0.23529411764705882" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10"/><path fill="none" stroke="rgb(37,37,37)" paint-order="fill stroke markers" d=" M 0.5 49.5 L 283.5 49.5" stroke-opacity="1" stroke-miterlimit="10"/><path fill="none" stroke="rgb(37,37,37)" paint-order="fill stroke markers" d=" M 284.5 49.5 L 280.5 45.5" stroke-opacity="1" stroke-miterlimit="10"/><path fill="none" stroke="rgb(37,37,37)" paint-order="fill stroke markers" d=" M 284.5 49.5 L 280.5 53.5" stroke-opacity="1" stroke-miterlimit="10"/><path fill="none" stroke="rgb(199,80,0)" paint-order="fill stroke markers" d=" M 91.2890625 -5.55227246898702 L 93.515625 -2.762323199770279 L 95.7421875 0.0012450142327082858 L 97.96875 2.7384321730219625 L 100.1953125 5.449238276597448 L 102.421875 8.133663324959223 L 104.6484375 10.791707318107221 L 106.875 13.423370256041494 L 109.10156250000001 16.028652138762034 L 111.328125 18.60755296626879 L 113.5546875 21.160072738561837 L 115.78125 23.686211455641118 L 118.0078125 26.185969117506673 L 120.234375 28.659345724158463 L 122.4609375 31.10634127559653 L 124.68750000000001 33.52695577182085 L 126.9140625 35.92118921283141 L 129.140625 38.289041598628245 L 131.3671875 40.63051292921131 L 133.59375 42.94560320458066 L 135.8203125 45.23431242473624 L 138.046875 47.496640589678094 L 140.2734375 49.73258769940618 L 142.5 51.94215375392055 L 144.7265625 54.12533875322117 L 146.953125 56.28214269730803 L 149.1796875 58.41256558618117 L 151.40625 60.51660741984053 L 153.6328125 62.59426819828618 L 155.859375 64.64554792151806 L 158.0859375 66.67044658953621 L 160.3125 68.6689642023406 L 162.5390625 70.64110075993128 L 164.765625 72.5868562623082 L 166.9921875 74.50623070947137 L 169.21875 76.39922410142078 L 171.4453125 78.26583643815647 L 173.671875 80.1060677196784 L 175.8984375 81.91991794598658 L 178.125 83.70738711708105 L 180.3515625 85.46847523296175 L 182.578125 87.2031822936287 L 184.8046875 88.91150829908193 L 187.03125 90.59345324932139 L 189.2578125 92.2490171443471 L 191.484375 93.8781999841591 L 193.7109375 95.48100176875734 L 195.9375 97.05742249814185 L 198.16406250000003 98.6074621723126 L 200.390625 100.13112079126958 L 202.6171875 101.62839835501283 L 204.84375 103.09929486354235 L 207.0703125 104.54381031685813" stroke-opacity="0.6980392156862745" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" stroke-width="2.5"/></g></g></svg>
4-fach.svg
Author
... ... @@ -1,0 +1,1 @@
1 +XWiki.holgerengels
Größe
... ... @@ -1,0 +1,1 @@
1 +17.9 KB
Inhalt
... ... @@ -1,0 +1,1 @@
1 +<svg version="1.1" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" width="285" height="99"><defs><clipPath id="dKuGUbdZSVmZ"><path fill="none" stroke="none" d=" M 0 0 L 285 0 L 285 99 L 0 99 L 0 0 Z"/></clipPath></defs><g transform="scale(1,1)" clip-path="url(#dKuGUbdZSVmZ)"><g><rect fill="rgb(255,255,255)" stroke="none" x="0" y="0" width="285" height="99" fill-opacity="1"/><path fill="none" stroke="rgb(192,192,192)" paint-order="fill stroke markers" d=" M 45.5 0.5 L 45.5 99.5 M 45.5 0.5 L 45.5 99.5 M 139.5 0.5 L 139.5 99.5 M 233.5 0.5 L 233.5 99.5" stroke-opacity="1" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10"/><path fill="none" stroke="rgb(192,192,192)" paint-order="fill stroke markers" d=" M 8.5 0.5 L 8.5 99.5 M 27.5 0.5 L 27.5 99.5 M 64.5 0.5 L 64.5 99.5 M 83.5 0.5 L 83.5 99.5 M 102.5 0.5 L 102.5 99.5 M 121.5 0.5 L 121.5 99.5 M 158.5 0.5 L 158.5 99.5 M 177.5 0.5 L 177.5 99.5 M 196.5 0.5 L 196.5 99.5 M 215.5 0.5 L 215.5 99.5 M 252.5 0.5 L 252.5 99.5 M 271.5 0.5 L 271.5 99.5" stroke-opacity="0.23529411764705882" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10"/><path fill="none" stroke="rgb(192,192,192)" paint-order="fill stroke markers" d="" stroke-opacity="1" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10"/><path fill="none" stroke="rgb(192,192,192)" paint-order="fill stroke markers" d=" M 0.5 11.5 L 285.5 11.5 M 0.5 11.5 L 285.5 11.5 M 0.5 30.5 L 285.5 30.5 M 0.5 68.5 L 285.5 68.5 M 0.5 86.5 L 285.5 86.5" stroke-opacity="0.23529411764705882" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10"/><path fill="none" stroke="rgb(37,37,37)" paint-order="fill stroke markers" d=" M 0.5 49.5 L 283.5 49.5" stroke-opacity="1" stroke-miterlimit="10"/><path fill="none" stroke="rgb(37,37,37)" paint-order="fill stroke markers" d=" M 284.5 49.5 L 280.5 45.5" stroke-opacity="1" stroke-miterlimit="10"/><path fill="none" stroke="rgb(37,37,37)" paint-order="fill stroke markers" d=" M 284.5 49.5 L 280.5 53.5" stroke-opacity="1" stroke-miterlimit="10"/><path fill="none" stroke="rgb(101,87,210)" paint-order="fill stroke markers" d=" M 0.5 106.39773113885666 L 0.5 108.04996697045212 L 0.5 106.39773113885667 L 1.5 104.78065968735501 L 1.5 104.78065968735504 L 2.5 103.19825010691632 L 2.5 103.19825010691633 L 3.5 101.65000350492572 L 3.5 101.65000350492573 L 4.5 100.13542460518445 L 4.5 100.13542460518448 L 5.5 98.65402174790978 L 5.5 98.65402174790981 L 6.5 97.20530688973506 L 6.5 97.20530688973507 L 7.499999999999972 95.78879560370964 L 7.499999999999972 95.78879560370966 L 8.499999999999972 94.40400707929896 L 8.499999999999972 94.40400707929896 L 9.499999999999972 93.05046412238448 L 9.499999999999972 93.05046412238448 L 10.499999999999972 91.72769315526375 L 10.499999999999972 91.72769315526375 L 11.5 90.43522421665034 L 11.5 90.43522421665035 L 12.499999999999986 89.1725909616739 L 12.499999999999986 89.17259096167392 L 13.499999999999986 87.93933066188012 L 13.499999999999986 87.93933066188012 L 14.499999999999986 86.73498420523072 L 14.499999999999986 86.73498420523073 L 15.499999999999986 85.55909609610347 L 15.499999999999986 85.5590960961035 L 16.5 84.41121445529227 L 16.5 84.41121445529228 L 17.5 83.29089102000694 L 17.5 83.29089102000694 L 18.5 82.19768114387345 L 18.5 82.19768114387347 L 19.5 81.1311437969338 L 19.5 81.1311437969338 L 20.5 80.090841565646 L 20.5 80.09084156564602 L 21.5 79.0763406528842 L 21.5 79.0763406528842 L 22.499999999999986 78.0872108779385 L 22.499999999999986 78.08721087793852 L 23.499999999999986 77.12302567651511 L 23.499999999999986 77.12302567651511 L 24.499999999999986 76.18336210073626 L 24.499999999999986 76.18336210073628 L 25.499999999999986 75.26780081914028 L 25.499999999999986 75.26780081914029 L 26.499999999999986 74.3759261166815 L 26.499999999999986 74.37592611668151 L 27.499999999999986 73.50732589473031 L 27.499999999999986 73.50732589473033 L 28.499999999999986 72.66159167107318 L 28.499999999999986 72.6615916710732 L 29.5 71.83831857991262 L 29.5 71.83831857991262 L 30.5 71.03710537186717 L 30.5 71.03710537186717 L 31.5 70.25755441397143 L 31.5 70.25755441397143 L 32.5 69.49927168967606 L 32.5 69.49927168967606 L 33.5 68.76186679884778 L 33.5 68.76186679884779 L 34.5 68.04495295776934 L 34.5 68.04495295776934 L 35.5 67.34814699913954 L 35.5 67.34814699913954 L 36.499999999999986 66.67106937207328 L 36.499999999999986 66.67106937207328 L 37.499999999999986 66.01334414210142 L 37.499999999999986 66.01334414210142 L 38.499999999999986 65.37459899117094 L 38.499999999999986 65.37459899117094 L 39.499999999999986 64.75446521764488 L 39.499999999999986 64.75446521764488 L 40.499999999999986 64.15257773630226 L 40.499999999999986 64.15257773630228 L 41.499999999999986 63.56857507833824 L 41.499999999999986 63.56857507833824 L 42.499999999999986 63.00209939136397 L 42.499999999999986 63.00209939136397 L 43.5 62.45279643940666 L 43.5 62.45279643940667 L 44.5 61.9203156029096 L 44.5 61.9203156029096 L 45.5 61.40430987873209 L 45.5 61.4043098787321 L 46.5 60.90443588014952 L 46.5 60.90443588014953 L 47.5 60.42035383685331 L 47.5 60.42035383685331 L 48.5 59.951727594950924 L 48.5 59.951727594950924 L 49.5 59.4982246169659 L 49.5 59.498224616965906 L 50.5 59.059515981837805 L 50.5 59.05951598183781 L 51.5 58.63527638492228 L 51.5 58.63527638492228 L 52.5 58.225184137990986 L 52.5 58.22518413799099 L 53.5 57.82892116923167 L 53.5 57.82892116923167 L 54.499999999999986 57.44617302324811 L 54.499999999999986 57.44617302324811 L 55.499999999999986 57.07662886106012 L 55.499999999999986 57.07662886106013 L 56.5 56.71998146010361 L 56.5 56.71998146010362 L 57.5 56.3759272142305 L 57.5 56.37592721423051 L 58.5 56.044166133708785 L 58.5 56.04416613370879 L 59.5 55.724401845222495 L 59.5 55.7244018452225 L 60.5 55.41634159187172 L 60.5 55.41634159187173 L 61.499999999999986 55.119696233172604 L 61.499999999999986 55.119696233172604 L 62.499999999999986 54.83418024505733 L 62.499999999999986 54.83418024505733 L 63.5 54.559511719874145 L 63.5 54.559511719874145 L 64.5 54.29541236638734 L 64.5 54.29541236638734 L 65.5 54.04160750977726 L 65.5 54.04160750977726 L 66.5 53.797826091640296 L 66.5 53.797826091640296 L 67.5 53.5638006699889 L 67.5 53.5638006699889 L 68.49999999999999 53.33926741925157 L 68.49999999999999 53.33926741925157 L 69.49999999999999 53.12396613027285 L 69.49999999999999 53.12396613027285 L 70.5 52.91764021031334 L 70.5 52.91764021031334 L 71.5 52.72003668304969 L 71.5 52.72003668304969 L 72.5 52.53090618857461 L 72.5 52.53090618857461 L 73.5 52.35000298339685 L 73.5 52.35000298339685 L 74.5 52.177084940441205 L 74.5 52.177084940441205 L 75.49999999999999 52.01191354904854 L 75.49999999999999 52.01191354904854 L 76.5 51.85425391497576 L 76.5 51.854253914975764 L 77.5 51.70387476039582 L 77.5 51.70387476039582 L 78.5 51.560548423897735 L 78.5 51.560548423897735 L 79.5 51.42405086048656 L 79.5 51.42405086048656 L 80.5 51.2941616415834 L 80.5 51.2941616415834 L 81.5 51.17066395502543 L 81.5 51.17066395502543 L 82.5 51.05334460506586 L 82.5 51.05334460506586 L 83.5 50.94199401237395 L 83.5 50.941994012373954 L 84.5 50.836406214035016 L 84.5 50.836406214035016 L 85.5 50.73637886355043 L 85.5 50.73637886355043 L 86.5 50.6417132308376 L 86.5 50.6417132308376 L 87.5 50.55221420223001 L 87.5 50.55221420223001 L 88.5 50.46769028047717 L 88.5 50.46769028047717 L 89.5 50.38795358474466 L 89.5 50.38795358474466 L 90.5 50.31281985061408 L 90.5 50.31281985061408 L 91.5 50.242108430083135 L 91.5 50.242108430083135 L 92.5 50.17564229156553 L 92.5 50.17564229156553 L 93.5 50.113248019891046 L 93.5 50.113248019891046 L 94.5 50.05475581630551 L 94.5 50.05475581630551 L 95.5 49.9999994984708 L 95.5 49.9999994984708 L 96.5 49.948816500464844 L 96.5 49.948816500464844 L 97.5 49.901047872781625 L 97.5 49.901047872781625 L 98.5 49.85653828233117 L 98.5 49.85653828233117 L 99.5 49.815136012439574 L 99.5 49.815136012439574 L 100.5 49.77669296284896 L 100.5 49.77669296284896 L 101.5 49.741064649717515 L 101.5 49.74106464971752 L 102.5 49.708110205619484 L 102.5 49.708110205619484 L 103.5 49.677692379545135 L 103.5 49.677692379545135 L 104.5 49.649677536900825 L 104.5 49.649677536900825 L 105.5 49.62393565950894 L 105.5 49.62393565950894 L 106.5 49.60034034560791 L 106.5 49.60034034560791 L 107.5 49.578768809852235 L 107.5 49.578768809852235 L 108.5 49.559101883312465 L 108.5 49.559101883312465 L 109.5 49.54122401347518 L 109.5 49.54122401347518 L 110.5 49.52502326424304 L 110.5 49.52502326424304 L 111.5 49.510391315934726 L 111.5 49.510391315934726 L 112.5 49.497223465285 L 112.5 49.497223465285 L 113.5 49.48541862544465 L 113.5 49.48541862544465 L 114.5 49.47487932598054 L 114.5 49.47487932598054 L 115.5 49.46551171287555 L 115.5 49.46551171287555 L 116.5 49.457225548528655 L 116.5 49.457225548528655 L 117.5 49.44993421175484 L 117.5 49.44993421175484 L 118.5 49.44355469778517 L 118.5 49.44355469778517 L 119.5 49.438007618266745 L 119.5 49.438007618266745 L 120.5 49.43321720126273 L 120.5 49.43321720126273 L 121.5 49.42911129125232 L 121.5 49.42911129125232 L 122.5 49.425621349130786 L 122.5 49.425621349130786 L 123.5 49.42268245220943 L 123.5 49.42268245220943 L 124.5 49.42023329421562 L 124.5 49.42023329421562 L 125.5 49.41821618529277 L 125.5 49.41821618529277 L 126.5 49.416577052000335 L 126.5 49.416577052000335 L 127.5 49.415265437313835 L 127.5 49.415265437313835 L 128.5 49.414234500624836 L 128.5 49.414234500624836 L 129.5 49.41344101774095 L 129.5 49.41344101774095 L 130.5 49.412845380885855 L 130.5 49.412845380885855 L 131.5 49.412411598699265 L 131.5 49.412411598699265 L 132.5 49.41210729623695 L 132.5 49.41210729623695 L 133.5 49.41190371497073 L 133.5 49.41190371497073 L 134.5 49.41177571278848 L 134.5 49.41177571278848 L 135.5 49.411701763994124 L 135.5 49.411701763994124 L 136.5 49.41166395930764 L 136.5 49.41166395930764 L 137.5 49.41164800586505 L 137.5 49.41164800586505 L 138.5 49.411643227218434 L 138.5 49.411643227218434 L 139.5 49.41164256333592 L 139.5 49.41164257060168 L 140.5 49.41164255703421 L 140.5 49.41164257060168 L 141.5 49.41164342181595 L 141.5 49.41164342181595 L 142.5 49.411648906195026 L 142.5 49.411648906195026 L 143.5 49.411666429371216 L 143.5 49.411666429371216 L 144.5 49.41170701339293 L 144.5 49.41170701339293 L 145.5 49.41178529672458 L 145.5 49.41178529672458 L 146.5 49.411919534246664 L 146.5 49.411919534246664 L 147.5 49.41213159725572 L 147.5 49.41213159725572 L 148.5 49.412446973464334 L 148.5 49.412446973464334 L 149.5 49.41289476700115 L 149.5 49.41289476700115 L 150.5 49.413507698410854 L 150.5 49.413507698410854 L 151.5 49.4143221046542 L 151.5 49.4143221046542 L 152.5 49.415377939107955 L 152.5 49.415377939107955 L 153.5 49.41671877156499 L 153.5 49.41671877156499 L 154.5 49.41839178823419 L 154.5 49.41839178823419 L 155.5 49.4204477917405 L 155.5 49.4204477917405 L 156.5 49.42294120112493 L 156.5 49.42294120112493 L 157.5 49.42593005184451 L 157.5 49.42593005184451 L 158.5 49.42947599577235 L 158.5 49.42947599577235 L 159.5 49.4336443011976 L 159.5 49.4336443011976 L 160.5 49.43850385282547 L 160.5 49.43850385282547 L 161.5 49.4441271517772 L 161.5 49.4441271517772 L 162.5 49.45059031559011 L 162.5 49.45059031559011 L 163.5 49.45797307821755 L 163.5 49.45797307821755 L 164.5 49.46635879002892 L 164.5 49.46635879002892 L 165.5 49.47583441780968 L 165.5 49.47583441780968 L 166.5 49.486490544761345 L 166.5 49.486490544761345 L 167.5 49.498421370501475 L 167.5 49.498421370501475 L 168.5 49.511724711063685 L 168.5 49.511724711063685 L 169.5 49.52650199889762 L 169.5 49.52650199889762 L 170.5 49.54285828286902 L 170.5 49.54285828286902 L 171.5 49.56090222825963 L 171.5 49.56090222825963 L 172.5 49.58074611676727 L 172.5 49.58074611676727 L 173.5 49.602505846505814 L 173.5 49.602505846505814 L 174.5 49.62630093200517 L 174.5 49.62630093200517 L 175.5 49.65225450421133 L 175.5 49.65225450421133 L 176.5 49.680493310486284 L 176.5 49.680493310486284 L 177.5 49.711147714608124 L 177.5 49.711147714608124 L 178.5 49.74435169677096 L 178.5 49.74435169677096 L 179.5 49.78024285358499 L 179.5 49.78024285358499 L 180.5 49.81896239807641 L 180.5 49.81896239807641 L 181.5 49.86065515968752 L 181.5 49.86065515968752 L 182.5 49.90546958427663 L 182.5 49.90546958427663 L 183.5 49.95355773411813 L 183.5 49.95355773411813 L 184.5 50.00507528790244 L 184.5 50.00507528790244 L 185.5 50.06018154073605 L 185.5 50.06018154073605 L 186.5 50.119039404141496 L 186.5 50.119039404141496 L 187.5 50.181815406057346 L 187.5 50.181815406057346 L 188.5 50.248679690838244 L 188.5 50.248679690838244 L 189.5 50.31980601925488 L 189.5 50.31980601925488 L 190.5 50.39537176849398 L 190.5 50.39537176849398 L 191.5 50.475557932158345 L 191.5 50.47555793215834 L 192.5 50.5605491202668 L 192.5 50.5605491202668 L 193.5 50.65053355925424 L 193.5 50.65053355925424 L 194.5 50.74570309197161 L 194.5 50.74570309197161 L 195.5 50.8462531776859 L 195.5 50.8462531776859 L 196.5 50.95238289208016 L 196.5 50.95238289208016 L 197.5 51.06429492725347 L 197.5 51.06429492725347 L 198.5 51.18219559172099 L 198.5 51.18219559172098 L 199.5 51.30629481041391 L 199.5 51.30629481041391 L 200.5 51.43680612467948 L 200.5 51.43680612467948 L 201.5 51.57394669228099 L 201.5 51.57394669228099 L 202.5 51.71793728739781 L 202.5 51.71793728739781 L 203.5 51.869002300625326 L 203.5 51.869002300625326 L 204.5 52.027369738975 L 204.5 52.027369738975 L 205.5 52.19327122587433 L 205.5 52.19327122587433 L 206.5 52.36694200116687 L 206.5 52.36694200116687 L 207.5 52.54862092111223 L 207.5 52.54862092111223 L 208.5 52.73855045838607 L 208.5 52.738550458386065 L 209.5 52.93697670208009 L 209.5 52.93697670208009 L 210.5 53.144149357702055 L 210.5 53.144149357702055 L 211.5 53.360321747175774 L 211.5 53.360321747175774 L 212.5 53.58575080884111 L 212.5 53.58575080884111 L 213.5 53.82069709745397 L 213.5 53.82069709745397 L 214.5 54.065424784186334 L 214.5 54.065424784186334 L 215.5 54.3202016566262 L 215.5 54.3202016566262 L 216.5 54.58529911877765 L 216.5 54.58529911877765 L 217.5 54.86099219106079 L 217.5 54.86099219106078 L 218.5 55.14755951031178 L 218.5 55.14755951031178 L 219.5 55.44528332978287 L 219.5 55.44528332978286 L 220.5 55.7544495191423 L 220.5 55.7544495191423 L 221.5 56.075347564474406 L 221.5 56.075347564474406 L 222.5 56.40827056827956 L 222.5 56.40827056827956 L 223.5 56.75351524947419 L 223.5 56.75351524947419 L 224.5 57.11138194339076 L 224.5 57.11138194339076 L 225.5 57.482174601777814 L 225.5 57.482174601777814 L 226.5 57.866200792799916 L 226.5 57.866200792799916 L 227.5 58.263771701037705 L 227.5 58.2637717010377 L 228.5 58.67520212748785 L 228.5 58.67520212748785 L 229.5 59.10081048956309 L 229.5 59.10081048956309 L 230.5 59.540918821092205 L 230.5 59.540918821092205 L 231.5 59.99585277232002 L 231.5 59.99585277232002 L 232.5 60.46594160990744 L 232.5 60.46594160990743 L 233.5 60.95151821693138 L 233.5 60.95151821693138 L 234.5 61.45291909288484 L 234.5 61.45291909288484 L 235.5 61.97048435367687 L 235.5 61.970484353676866 L 236.5 62.50455773163252 L 236.5 62.50455773163252 L 237.5 63.055486575492964 L 237.5 63.055486575492964 L 238.5 63.62362185041539 L 238.5 63.62362185041538 L 239.5 64.20931813797303 L 239.5 64.20931813797301 L 240.5 64.81293363615518 L 240.5 64.81293363615517 L 241.5 65.43483015936718 L 241.5 65.43483015936718 L 242.5 66.07537313843045 L 242.5 66.07537313843044 L 243.5 66.73493162058242 L 243.5 66.7349316205824 L 244.5 67.41387826947657 L 244.5 67.41387826947656 L 245.5 68.11258936518247 L 245.5 68.11258936518247 L 246.5 68.83144480418574 L 246.5 68.83144480418574 L 247.5 69.570828099388 L 247.5 69.570828099388 L 248.5 70.33112638010695 L 248.5 70.33112638010695 L 249.5 71.11273039207636 L 249.5 71.11273039207636 L 250.5 71.91603449744605 L 250.5 71.91603449744605 L 251.5 72.74143667478185 L 251.5 72.74143667478184 L 252.5 73.58933851906568 L 252.5 73.58933851906568 L 253.5 74.4601452416955 L 253.5 74.46014524169549 L 254.5 75.3542656704853 L 254.5 75.35426567048529 L 255.5 76.27211224966518 L 255.5 76.27211224966517 L 256.5 77.21410103988121 L 256.5 77.2141010398812 L 257.5 78.18065171819558 L 257.5 78.18065171819558 L 258.5 79.1721875780865 L 258.5 79.1721875780865 L 259.5 80.18913552944822 L 259.5 80.18913552944821 L 260.5 81.23192609859109 L 260.5 81.23192609859107 L 261.5 82.30099342824144 L 261.5 82.30099342824143 L 262.5 83.3967752775417 L 262.5 83.39677527754169 L 263.5 84.51971302205033 L 263.5 84.51971302205033 L 264.5 85.67025165374189 L 264.5 85.67025165374187 L 265.5 86.84883978100692 L 265.5 86.84883978100692 L 266.5 88.05592962865205 L 266.5 88.05592962865205 L 267.5 89.29197703789998 L 267.5 89.29197703789997 L 268.5 90.55744146638939 L 268.5 90.55744146638938 L 269.5 91.8527859881751 L 269.5 91.85278598817507 L 270.5 93.1784772937279 L 270.5 93.1784772937279 L 271.5 94.5349856899347 L 271.5 94.53498568993469 L 272.5 95.9227851000984 L 272.5 95.9227851000984 L 273.5 97.34235306393802 L 273.5 97.34235306393799 L 274.5 98.79417073758856 L 274.5 98.79417073758853 L 275.5 100.27872289360111 L 275.5 100.2787228936011 L 276.5 101.79649792094281 L 276.5 101.7964979209428 L 277.5 103.34798782499686 L 277.5 103.34798782499685 L 278.5 104.93368822756244 L 278.5 104.93368822756243 L 279.5 106.55409836685493 L 279.5 106.5540983668549 L 280.5 108.2097210975056 L 280.5 108.20972109750556 L 281.5 109.90106289056186 L 281.5 109.90106289056185 L 282.5 111.62863383348719 L 282.5 111.62863383348716 L 283.5 113.392947630161 L 283.5 113.39294763016099 L 284.5 115.19452160087891 L 284.5 115.19452160087889 L 285.5 117.03387668235247" stroke-opacity="0.6980392156862745" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" stroke-width="2.5"/><text fill="rgb(101,87,210)" stroke="none" font-family="geogebra-sans-serif, sans-serif" font-size="16px" font-style="normal" font-weight="normal" text-decoration="normal" x="24" y="76" text-anchor="start" dominant-baseline="alphabetic" fill-opacity="1">i</text><text fill="rgb(101,87,210)" stroke="none" font-family="geogebra-sans-serif, sans-serif" font-size="16px" font-style="normal" font-weight="normal" text-decoration="normal" x="24" y="76" text-anchor="start" dominant-baseline="alphabetic" fill-opacity="1">i</text></g></g></svg>
5-fach.svg
Author
... ... @@ -1,0 +1,1 @@
1 +XWiki.holgerengels
Größe
... ... @@ -1,0 +1,1 @@
1 +18.0 KB
Inhalt
... ... @@ -1,0 +1,1 @@
1 +<svg version="1.1" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" width="285" height="99"><defs><clipPath id="MnCZxGosFdSc"><path fill="none" stroke="none" d=" M 0 0 L 285 0 L 285 99 L 0 99 L 0 0 Z"/></clipPath></defs><g transform="scale(1,1)" clip-path="url(#MnCZxGosFdSc)"><g><rect fill="rgb(255,255,255)" stroke="none" x="0" y="0" width="285" height="99" fill-opacity="1"/><path fill="none" stroke="rgb(192,192,192)" paint-order="fill stroke markers" d=" M 45.5 0.5 L 45.5 99.5 M 45.5 0.5 L 45.5 99.5 M 139.5 0.5 L 139.5 99.5 M 233.5 0.5 L 233.5 99.5" stroke-opacity="1" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10"/><path fill="none" stroke="rgb(192,192,192)" paint-order="fill stroke markers" d=" M 8.5 0.5 L 8.5 99.5 M 27.5 0.5 L 27.5 99.5 M 64.5 0.5 L 64.5 99.5 M 83.5 0.5 L 83.5 99.5 M 102.5 0.5 L 102.5 99.5 M 121.5 0.5 L 121.5 99.5 M 158.5 0.5 L 158.5 99.5 M 177.5 0.5 L 177.5 99.5 M 196.5 0.5 L 196.5 99.5 M 215.5 0.5 L 215.5 99.5 M 252.5 0.5 L 252.5 99.5 M 271.5 0.5 L 271.5 99.5" stroke-opacity="0.23529411764705882" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10"/><path fill="none" stroke="rgb(192,192,192)" paint-order="fill stroke markers" d="" stroke-opacity="1" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10"/><path fill="none" stroke="rgb(192,192,192)" paint-order="fill stroke markers" d=" M 0.5 11.5 L 285.5 11.5 M 0.5 11.5 L 285.5 11.5 M 0.5 30.5 L 285.5 30.5 M 0.5 68.5 L 285.5 68.5 M 0.5 86.5 L 285.5 86.5" stroke-opacity="0.23529411764705882" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10"/><path fill="none" stroke="rgb(37,37,37)" paint-order="fill stroke markers" d=" M 0.5 49.5 L 283.5 49.5" stroke-opacity="1" stroke-miterlimit="10"/><path fill="none" stroke="rgb(37,37,37)" paint-order="fill stroke markers" d=" M 284.5 49.5 L 280.5 45.5" stroke-opacity="1" stroke-miterlimit="10"/><path fill="none" stroke="rgb(37,37,37)" paint-order="fill stroke markers" d=" M 284.5 49.5 L 280.5 53.5" stroke-opacity="1" stroke-miterlimit="10"/><path fill="none" stroke="rgb(46,125,50)" paint-order="fill stroke markers" d=" M 0.5 5.5855718188321575 L 0.5 7.1236901915061 L 0.5 7.123690191506093 L 1.5 8.618316805757082 L 1.5 8.618316805757075 L 2.5 10.070380579563171 L 2.5 10.070380579563164 L 3.5 11.48079710886369 L 3.5 11.480797108863683 L 4.5 12.850468763780476 L 4.5 12.850468763780462 L 5.5 14.180284784839017 L 5.5 14.18028478483901 L 6.5 15.471121379189704 L 6.5 15.47112137918969 L 7.499999999999972 16.723841816828966 L 7.499999999999972 16.72384181682896 L 8.499999999999972 17.939296526820623 L 8.499999999999972 17.939296526820613 L 9.499999999999972 19.11832319351689 L 9.499999999999972 19.11832319351688 L 10.499999999999972 20.261746852779687 L 10.499999999999972 20.261746852779677 L 11.5 21.370379988201837 L 11.5 21.370379988201826 L 12.499999999999986 22.445022627328253 L 12.499999999999986 22.445022627328242 L 13.499999999999986 23.48646243787714 L 13.499999999999986 23.48646243787713 L 14.499999999999986 24.49547482396119 L 14.499999999999986 24.495474823961178 L 15.499999999999986 25.472823022308788 L 15.499999999999986 25.472823022308777 L 16.5 26.41925819848523 L 16.5 26.419258198485224 L 17.5 27.335519543113904 L 17.5 27.335519543113897 L 18.5 28.222334368097485 L 18.5 28.22233436809748 L 19.5 29.080418202839162 L 19.5 29.08041820283916 L 20.5 29.91047489046382 L 20.5 29.910474890463814 L 21.5 30.713196684039247 L 21.5 30.71319668403924 L 22.499999999999986 31.489264342797313 L 22.499999999999986 31.48926434279731 L 23.499999999999986 32.23934722835526 L 23.499999999999986 32.23934722835525 L 24.499999999999986 32.96410340093676 L 24.499999999999986 32.96410340093675 L 25.499999999999986 33.66417971559323 L 25.499999999999986 33.66417971559322 L 26.499999999999986 34.340211918425 L 26.499999999999986 34.34021191842499 L 27.499999999999986 34.99282474280248 L 27.499999999999986 34.992824742802476 L 28.499999999999986 35.62263200558744 L 28.499999999999986 35.622632005587434 L 29.5 36.230236703354116 L 29.5 36.23023670335411 L 30.5 36.81623110861048 L 30.5 36.81623110861048 L 31.5 37.38119686601943 L 31.5 37.38119686601942 L 32.5 37.92570508861996 L 32.5 37.92570508861995 L 33.5 38.45031645404838 L 33.5 38.45031645404838 L 34.5 38.95558130075955 L 34.5 38.95558130075955 L 35.5 39.44203972424801 L 35.5 39.44203972424801 L 36.499999999999986 39.910221673269255 L 36.499999999999986 39.910221673269255 L 37.499999999999986 40.360647046060905 L 37.499999999999986 40.3606470460609 L 38.499999999999986 40.793825786563865 L 38.499999999999986 40.793825786563865 L 39.499999999999986 41.21025798064361 L 39.499999999999986 41.210257980643604 L 40.499999999999986 41.61043395231132 L 40.499999999999986 41.61043395231131 L 41.499999999999986 41.994834359945095 L 41.499999999999986 41.994834359945095 L 42.499999999999986 42.3639302925112 L 42.499999999999986 42.3639302925112 L 43.5 42.71818336578519 L 43.5 42.71818336578519 L 44.5 43.05804581857318 L 44.5 43.05804581857318 L 45.5 43.38396060893301 L 45.5 43.383960608933 L 46.5 43.69636151039544 L 46.5 43.69636151039544 L 47.5 43.9956732081854 L 47.5 43.9956732081854 L 48.5 44.28231139544314 L 48.5 44.28231139544314 L 49.5 44.556682869445424 L 49.5 44.556682869445424 L 50.5 44.8191856278268 L 50.5 44.8191856278268 L 51.5 45.070208964800734 L 51.5 45.070208964800734 L 52.5 45.31013356738083 L 52.5 45.31013356738083 L 53.5 45.53933161160206 L 53.5 45.53933161160205 L 54.499999999999986 45.7581668587419 L 54.499999999999986 45.758166858741895 L 55.499999999999986 45.96699475154162 L 55.499999999999986 45.96699475154161 L 56.5 46.1661625104274 L 56.5 46.1661625104274 L 57.5 46.3560092297316 L 57.5 46.3560092297316 L 58.5 46.5368659739139 L 58.5 46.5368659739139 L 59.5 46.70905587378256 L 59.5 46.70905587378256 L 60.5 46.87289422271557 L 60.5 46.87289422271557 L 61.499999999999986 47.02868857288189 L 61.499999999999986 47.02868857288189 L 62.499999999999986 47.17673883146263 L 62.499999999999986 47.17673883146263 L 63.5 47.31733735687226 L 63.5 47.31733735687226 L 64.5 47.450769054979794 L 64.5 47.450769054979794 L 65.5 47.577311475330035 L 65.5 47.577311475330035 L 66.5 47.69723490736471 L 66.5 47.69723490736471 L 67.5 47.810802476643744 L 67.5 47.810802476643744 L 68.49999999999999 47.918270241066395 L 68.49999999999999 47.91827024106639 L 69.49999999999999 48.0198872870925 L 69.49999999999999 48.0198872870925 L 70.5 48.115895825963676 L 70.5 48.11589582596367 L 71.5 48.20653128992447 L 71.5 48.20653128992447 L 72.5 48.292022428443644 L 72.5 48.292022428443644 L 73.5 48.37259140443528 L 73.5 48.37259140443528 L 74.5 48.44845389048009 L 74.5 48.44845389048009 L 75.49999999999999 48.51981916504649 L 75.49999999999999 48.51981916504649 L 76.5 48.58689020871193 L 76.5 48.58689020871193 L 77.5 48.649863800384 L 77.5 48.649863800384 L 78.5 48.70893061352168 L 78.5 48.70893061352168 L 79.5 48.764275312356524 L 79.5 48.764275312356524 L 80.5 48.816076648113864 L 80.5 48.816076648113864 L 81.5 48.86450755523401 L 81.5 48.86450755523401 L 82.5 48.90973524759347 L 82.5 48.90973524759347 L 83.5 48.95192131472611 L 83.5 48.95192131472611 L 84.5 48.991221818044394 L 84.5 48.991221818044394 L 85.5 49.02778738706057 L 85.5 49.02778738706057 L 86.5 49.06176331560788 L 86.5 49.06176331560788 L 87.5 49.093289658061735 L 87.5 49.093289658061735 L 88.5 49.12250132556095 L 88.5 49.12250132556095 L 89.5 49.14952818222893 L 89.5 49.14952818222893 L 90.5 49.17449514139486 L 90.5 49.17449514139486 L 91.5 49.19752226181494 L 91.5 49.19752226181494 L 92.5 49.21872484389354 L 92.5 49.21872484389354 L 93.5 49.23821352590444 L 93.5 49.23821352590444 L 94.5 49.256094380212026 L 94.5 49.256094380212026 L 95.5 49.272469009492454 L 95.5 49.272469009492454 L 96.5 49.287434642954906 L 96.5 49.287434642954906 L 97.5 49.30108423256276 L 97.5 49.30108423256275 L 98.5 49.31350654925477 L 98.5 49.31350654925477 L 99.5 49.32478627916633 L 99.5 49.32478627916633 L 100.5 49.33500411985063 L 100.5 49.33500411985063 L 101.5 49.34423687649985 L 101.5 49.34423687649985 L 102.5 49.35255755816638 L 102.5 49.35255755816638 L 103.5 49.36003547398404 L 103.5 49.36003547398404 L 104.5 49.36673632938925 L 104.5 49.36673632938925 L 105.5 49.37272232234221 L 105.5 49.37272232234221 L 106.5 49.37805223954819 L 106.5 49.37805223954819 L 107.5 49.38278155267862 L 107.5 49.38278155267862 L 108.5 49.38696251459239 L 108.5 49.38696251459239 L 109.5 49.390644255556964 L 109.5 49.390644255556964 L 110.5 49.39387287946966 L 110.5 49.39387287946966 L 111.5 49.39669156007879 L 111.5 49.39669156007879 L 112.5 49.3991406372049 L 112.5 49.3991406372049 L 113.5 49.40125771296196 L 113.5 49.40125771296196 L 114.5 49.40307774797854 L 114.5 49.40307774797854 L 115.5 49.40463315761907 L 115.5 49.40463315761907 L 116.5 49.40595390820497 L 116.5 49.40595390820497 L 117.5 49.40706761323591 L 117.5 49.40706761323591 L 118.5 49.407999629610984 L 118.5 49.407999629610984 L 119.5 49.40877315384991 L 119.5 49.40877315384991 L 120.5 49.40940931831423 L 120.5 49.40940931831423 L 121.5 49.409927287428545 L 121.5 49.409927287428545 L 122.5 49.41034435390165 L 122.5 49.41034435390165 L 123.5 49.41067603494781 L 123.5 49.41067603494781 L 124.5 49.41093616850792 L 124.5 49.41093616850792 L 125.5 49.41113700947068 L 125.5 49.41113700947068 L 126.5 49.41128932589386 L 126.5 49.41128932589386 L 127.5 49.411402495225474 L 127.5 49.411402495225474 L 128.5 49.41148460052495 L 128.5 49.41148460052495 L 129.5 49.411542526684386 L 129.5 49.411542526684386 L 130.5 49.4115820566497 L 130.5 49.4115820566497 L 131.5 49.41160796764187 L 131.5 49.41160796764187 L 132.5 49.41162412737811 L 132.5 49.41162412737811 L 133.5 49.4116335902931 L 133.5 49.4116335902931 L 134.5 49.41163869376014 L 134.5 49.41163869376014 L 135.5 49.411641154312406 L 135.5 49.411641154312406 L 136.5 49.411642163864116 L 136.5 49.411642163864116 L 137.5 49.41164248593173 L 137.5 49.41164248593173 L 138.5 49.41164255185518 L 138.5 49.41164255185518 L 139.5 49.41164255701905 L 139.5 49.41164255701905 L 140.5 49.41164255707376 L 140.5 49.41164255707376 L 141.5 49.411642564156814 L 141.5 49.411642564156814 L 142.5 49.411642643113964 L 142.5 49.411642643113964 L 143.5 49.41164300772042 L 143.5 49.41164300772042 L 144.5 49.41164411690205 L 144.5 49.41164411690205 L 145.5 49.41164677095661 L 145.5 49.41164677095661 L 146.5 49.411652207774885 L 146.5 49.411652207774885 L 147.5 49.411662199061944 L 147.5 49.411662199061944 L 148.5 49.41167914655833 L 148.5 49.41167914655833 L 149.5 49.411706178261234 L 149.5 49.411706178261234 L 150.5 49.41174724464574 L 150.5 49.41174724464574 L 151.5 49.411807214885975 L 151.5 49.411807214885975 L 152.5 49.411891973076365 L 152.5 49.411891973076365 L 153.5 49.41200851445279 L 153.5 49.41200851445279 L 154.5 49.41216504161382 L 154.5 49.41216504161382 L 155.5 49.41237106074189 L 155.5 49.41237106074189 L 156.5 49.41263747782451 L 156.5 49.41263747782451 L 157.5 49.41297669487549 L 157.5 49.41297669487549 L 158.5 49.41340270615608 L 158.5 49.41340270615608 L 159.5 49.41393119439625 L 159.5 49.41393119439625 L 160.5 49.41457962701583 L 160.5 49.41457962701583 L 161.5 49.415367352345754 L 161.5 49.415367352345754 L 162.5 49.416315695849214 L 162.5 49.416315695849214 L 163.5 49.417448056342906 L 163.5 49.417448056342906 L 164.5 49.41879000221821 L 164.5 49.41879000221821 L 165.5 49.42036936766239 L 165.5 49.42036936766239 L 166.5 49.42221634887981 L 166.5 49.42221634887981 L 167.5 49.42436360031311 L 167.5 49.42436360031311 L 168.5 49.42684633086444 L 168.5 49.42684633086444 L 169.5 49.429702400116646 L 169.5 49.429702400116646 L 170.5 49.43297241455445 L 170.5 49.43297241455445 L 171.5 49.43669982378567 L 171.5 49.43669982378567 L 172.5 49.44093101676245 L 172.5 49.44093101676245 L 173.5 49.4457154180024 L 173.5 49.4457154180024 L 174.5 49.451105583809856 L 174.5 49.451105583809856 L 175.5 49.457157298497044 L 175.5 49.457157298497044 L 176.5 49.463929670605296 L 176.5 49.463929670605296 L 177.5 49.47148522912624 L 177.5 49.47148522912624 L 178.5 49.47989001972302 L 178.5 49.47989001972302 L 179.5 49.48921370095149 L 179.5 49.48921370095149 L 180.5 49.49952964048139 L 180.5 49.49952964048139 L 181.5 49.5109150113176 L 181.5 49.5109150113176 L 182.5 49.523450888021294 L 182.5 49.523450888021294 L 183.5 49.53722234293115 L 183.5 49.53722234293115 L 184.5 49.55231854238458 L 184.5 49.55231854238458 L 185.5 49.568832842938896 L 185.5 49.568832842938896 L 186.5 49.58686288759253 L 186.5 49.58686288759253 L 187.5 49.60651070200623 L 187.5 49.60651070200623 L 188.5 49.62788279072427 L 188.5 49.62788279072427 L 189.5 49.65109023339563 L 189.5 49.65109023339563 L 190.5 49.67624878099522 L 190.5 49.67624878099522 L 191.5 49.70347895204508 L 191.5 49.70347895204508 L 192.5 49.73290612883556 L 192.5 49.73290612883556 L 193.5 49.76466065364653 L 193.5 49.76466065364653 L 194.5 49.79887792496861 L 194.5 49.79887792496861 L 195.5 49.83569849372433 L 195.5 49.83569849372432 L 196.5 49.875268159489345 L 196.5 49.875268159489345 L 197.5 49.91773806671366 L 197.5 49.91773806671366 L 198.5 49.963264800942795 L 198.5 49.963264800942795 L 199.5 50.012010485039006 L 199.5 50.012010485039006 L 200.5 50.06414287540248 L 200.5 50.06414287540248 L 201.5 50.11983545819256 L 201.5 50.11983545819256 L 202.5 50.17926754554889 L 202.5 50.17926754554889 L 203.5 50.24262437181268 L 203.5 50.24262437181268 L 204.5 50.31009718974788 L 204.5 50.31009718974788 L 205.5 50.38188336676235 L 205.5 50.38188336676235 L 206.5 50.458186481129125 L 206.5 50.458186481129125 L 207.5 50.53921641820758 L 207.5 50.53921641820758 L 208.5 50.62518946666461 L 208.5 50.62518946666461 L 209.5 50.71632841469587 L 209.5 50.71632841469587 L 210.5 50.812862646246984 L 210.5 50.812862646246984 L 211.5 50.91502823723468 L 211.5 50.91502823723468 L 212.5 51.02306805176808 L 212.5 51.02306805176808 L 213.5 51.137231838369814 L 213.5 51.137231838369814 L 214.5 51.2577763261973 L 214.5 51.2577763261973 L 215.5 51.38496532126389 L 215.5 51.38496532126389 L 216.5 51.519069802660105 L 216.5 51.519069802660105 L 217.5 51.660368018774804 L 217.5 51.660368018774804 L 218.5 51.80914558351642 L 218.5 51.80914558351642 L 219.5 51.96569557253412 L 219.5 51.96569557253412 L 220.5 52.13031861943908 L 220.5 52.13031861943908 L 221.5 52.30332301202558 L 221.5 52.30332301202557 L 222.5 52.48502478849229 L 222.5 52.48502478849229 L 223.5 52.67574783366345 L 223.5 52.67574783366345 L 224.5 52.875823975210054 L 224.5 52.875823975210054 L 225.5 53.08559307987106 L 225.5 53.08559307987106 L 226.5 53.30540314967461 L 226.5 53.30540314967461 L 227.5 53.535610418159195 L 227.5 53.535610418159195 L 228.5 53.776579446594894 L 228.5 53.776579446594894 L 229.5 54.028683220204535 L 229.5 54.028683220204535 L 230.5 54.29230324438495 L 230.5 54.29230324438494 L 231.5 54.5678296409281 L 231.5 54.5678296409281 L 232.5 54.855661244242384 L 232.5 54.855661244242384 L 233.5 55.15620569757372 L 233.5 55.15620569757372 L 234.5 55.46987954922683 L 234.5 55.469879549226825 L 235.5 55.79710834878642 L 235.5 55.79710834878642 L 236.5 56.13832674333836 L 236.5 56.13832674333836 L 237.5 56.49397857369092 L 237.5 56.49397857369092 L 238.5 56.864516970595936 L 238.5 56.864516970595936 L 239.5 57.25040445097004 L 239.5 57.25040445097004 L 240.5 57.65211301411585 L 240.5 57.65211301411584 L 241.5 58.070124237943155 L 241.5 58.070124237943155 L 242.5 58.50492937519016 L 242.5 58.50492937519016 L 243.5 58.95702944964463 L 243.5 58.95702944964463 L 244.5 59.42693535236515 L 244.5 59.42693535236514 L 245.5 59.91516793790227 L 245.5 59.91516793790226 L 246.5 60.42225812051974 L 246.5 60.42225812051974 L 247.5 60.94874697041574 L 247.5 60.94874697041573 L 248.5 61.49518580994399 L 248.5 61.49518580994398 L 249.5 62.062136309835026 L 249.5 62.062136309835026 L 250.5 62.65017058541743 L 250.5 62.65017058541742 L 251.5 63.25987129283891 L 251.5 63.25987129283891 L 252.5 63.89183172528763 L 252.5 63.89183172528763 L 253.5 64.54665590921333 L 253.5 64.54665590921333 L 254.5 65.22495870054857 L 254.5 65.22495870054857 L 255.5 65.92736588092988 L 255.5 65.92736588092988 L 256.5 66.65451425391906 L 256.5 66.65451425391905 L 257.5 67.40705174122425 L 257.5 67.40705174122424 L 258.5 68.18563747892124 L 258.5 68.18563747892122 L 259.5 68.99094191367462 L 259.5 68.9909419136746 L 260.5 69.82364689895898 L 260.5 69.82364689895897 L 261.5 70.68444579128015 L 261.5 70.68444579128015 L 262.5 71.57404354639635 L 262.5 71.57404354639635 L 263.5 72.49315681553942 L 263.5 72.49315681553941 L 264.5 73.44251404163603 L 264.5 73.44251404163603 L 265.5 74.42285555552887 L 265.5 74.42285555552886 L 266.5 75.43493367219783 L 266.5 75.43493367219781 L 267.5 76.4795127869812 L 267.5 76.47951278698119 L 268.5 77.55736947179696 L 268.5 77.55736947179695 L 269.5 78.66929257136385 L 269.5 78.66929257136384 L 270.5 79.81608329942267 L 270.5 79.81608329942267 L 271.5 80.99855533495744 L 271.5 80.99855533495743 L 272.5 82.21753491841659 L 272.5 82.21753491841659 L 273.5 83.47386094793418 L 273.5 83.47386094793418 L 274.5 84.76838507555115 L 274.5 84.76838507555114 L 275.5 86.10197180343638 L 275.5 86.10197180343637 L 276.5 87.47549858010807 L 276.5 87.47549858010805 L 277.5 88.88985589665481 L 277.5 88.88985589665478 L 278.5 90.34594738295678 L 278.5 90.34594738295677 L 279.5 91.84468990390712 L 279.5 91.84468990390712 L 280.5 93.38701365563293 L 280.5 93.38701365563291 L 281.5 94.97386226171652 L 281.5 94.9738622617165 L 282.5 96.6061928694167 L 282.5 96.60619286941667 L 283.5 98.28497624588988 L 283.5 98.28497624588985 L 284.5 100.01119687441133 L 284.5 100.0111968744113 L 285.5 101.78585305059634" stroke-opacity="0.6980392156862745" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" stroke-width="2.5"/><text fill="rgb(46,125,50)" stroke="none" font-family="geogebra-sans-serif, sans-serif" font-size="16px" font-style="normal" font-weight="normal" text-decoration="normal" x="24" y="33" text-anchor="start" dominant-baseline="alphabetic" fill-opacity="1">j</text><text fill="rgb(46,125,50)" stroke="none" font-family="geogebra-sans-serif, sans-serif" font-size="16px" font-style="normal" font-weight="normal" text-decoration="normal" x="24" y="33" text-anchor="start" dominant-baseline="alphabetic" fill-opacity="1">j</text></g></g></svg>
Arithmagon Quadratische Formen.svg
Author
... ... @@ -1,0 +1,1 @@
1 +XWiki.holgerengels
Größe
... ... @@ -1,0 +1,1 @@
1 +50.4 KB
Inhalt
Polynome_zuordnen-Grad_drei.svg
Author
... ... @@ -1,0 +1,1 @@
1 +XWiki.holgerengels
Größe
... ... @@ -1,0 +1,1 @@
1 +77.7 KB
Inhalt
Polynome_zuordnen-Grad_vier.svg
Author
... ... @@ -1,0 +1,1 @@
1 +XWiki.holgerengels
Größe
... ... @@ -1,0 +1,1 @@
1 +61.8 KB
Inhalt