Wiki-Quellcode von Tipp Drei Geraden

Version 3.1 von akukin am 2026/05/13 16:27

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1 Zwei Geraden heißen
2 * parallel, wenn ihre Richtungsvektoren linear abhängig sind. Besitzen die Geraden zudem einen gemeinsamen Punkt, dann heißen sie identisch, ansonsten echt parallel.
3 * windschief, wenn sie nicht parallel sind und keinen gemeinsamen Punkt besitzen.
4
5
6 {{html}}
7 <div style="text-align:center; font-family:sans-serif; width:1050px; margin:0 auto; transform:scale(0.85); transform-origin:top center;">
8
9 <div style="position:relative; width:1050px; height:0;">
10 <svg width="1050" height="350" style="position:absolute; top:0; left:0; pointer-events:none;">
11 <line x1="525" y1="45" x2="180" y2="120" style="stroke:black; stroke-width:2" />
12 <line x1="525" y1="45" x2="525" y2="120" style="stroke:black; stroke-width:2" />
13 <line x1="525" y1="45" x2="870" y2="120" style="stroke:black; stroke-width:2" />
14
15 <line x1="870" y1="165" x2="770" y2="215" style="stroke:black; stroke-width:2" />
16 <line x1="870" y1="165" x2="970" y2="215" style="stroke:black; stroke-width:2" />
17 </svg>
18 </div>
19
20
21 <div style="margin-bottom:85px; position:relative; z-index:2;">
22 <div style="font-size:32px; font-weight:bold; background:white; display:inline-block; padding:0 15px;">LGS</div>
23 </div>
24
25
26 <div style="display:flex; justify-content:flex-start; align-items:flex-start; position:relative; z-index:2;">
27
28
29 <div style="width:360px;">
30 <div style="font-size:20px; background:white; display:inline-block; padding:0 10px;">eindeutig lösbar</div>
31 <div style="height:60px; border-left:2px solid black; width:0; margin:10px auto;"></div>
32 <div style="display:inline-block; background:#b7bdf5; padding:8px 20px; font-size:18px; border:1px solid #9ea5e0; font-weight:bold; box-shadow: 2px 2px 0px #9ea5e0;">
33 Schnittpunkt
34 </div>
35 </div>
36
37
38 <div style="width:330px;">
39 <div style="font-size:20px; background:white; display:inline-block; padding:0 10px;">mehrdeutig lösbar</div>
40 <div style="height:60px; border-left:2px solid black; width:0; margin:10px auto;"></div>
41 <div style="display:inline-block; background:#b7bdf5; padding:8px 20px; font-size:18px; border:1px solid #9ea5e0; font-weight:bold; box-shadow: 2px 2px 0px #9ea5e0;">
42 identisch
43 </div>
44 </div>
45
46
47 <div style="width:360px;">
48 <div style="font-size:20px; background:white; display:inline-block; padding:0 10px;">unlösbar</div>
49
50 <div style="display:flex; justify-content:space-between; margin-top:65px;">
51 <!-- linear abhängig -->
52 <div style="width:170px;">
53 <div style="font-size:16px; height:45px; display:flex; align-items:center; justify-content:center;">Richtungsvektoren<br>linear abhängig</div>
54 <div style="height:45px; border-left:2px solid black; width:0; margin:10px auto;"></div>
55 <div style="display:inline-block; background:#b7bdf5; padding:8px 15px; font-size:17px; border:1px solid #9ea5e0; font-weight:bold; box-shadow: 2px 2px 0px #9ea5e0;">
56 echt parallel
57 </div>
58 </div>
59
60
61 <div style="width:170px;">
62 <div style="font-size:16px; height:45px; display:flex; align-items:center; justify-content:center;">Richtungsvektoren<br>linear unabhängig</div>
63 <div style="height:45px; border-left:2px solid black; width:0; margin:10px auto;"></div>
64 <div style="display:inline-block; background:#b7bdf5; padding:8px 15px; font-size:17px; border:1px solid #9ea5e0; font-weight:bold; box-shadow: 2px 2px 0px #9ea5e0;">
65 windschief
66 </div>
67 </div>
68 </div>
69 </div>
70
71 </div>
72 </div>
73 {{/html}}