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Lösung von Zusatzaufgabe 12.1P (WS 18/19) - Versionsgeschichte
2026-08-15T03:07:51Z
Versionsgeschichte dieser Seite in Geometrie-Wiki
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CIG UA am 1. Februar 2019 um 14:30 Uhr
2019-02-01T14:30:04Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Nächstältere Version</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Version vom 1. Februar 2019, 14:30 Uhr</td>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>S<sub>a</sub><math>\circ</math>S<sub>b</sub><math>\circ</math>S<sub>c</sub><math>\circ</math>S<sub>d</sub><math>\circ</math>S<sub>e</sub><math>\circ</math>S<sub>f</sub> mit a geschnitten b = P<sub>1</sub> und c geschnitten d = P<sub>2</sub> und e geschnitten f = P<sub>2</sub><br /></div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>S<sub>a</sub><math>\circ</math>S<sub>b</sub><math>\circ</math>S<sub>c</sub><math>\circ</math>S<sub>d</sub><math>\circ</math>S<sub>e</sub><math>\circ</math>S<sub>f</sub> mit a geschnitten b = P<sub>1</sub> und c geschnitten d = P<sub>2</sub> und e geschnitten f = P<sub>2</sub><br /></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>= S<sub>a'</sub><math>\circ</math>S<sub>b'</sub><math>\circ</math>S<sub>c</sub><math>\circ</math>S<sub>d</sub><math>\circ</math>S<sub>e</sub><math>\circ</math>S<sub>f</sub> mit |orientierter Winkel (ab)| = |orientierter Winkel (a'b')| und a' geschnitten b' = P<sub>1</sub> und b' = c<br /></div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>= S<sub>a'</sub><math>\circ</math>S<sub>b'</sub><math>\circ</math>S<sub>c</sub><math>\circ</math>S<sub>d</sub><math>\circ</math>S<sub>e</sub><math>\circ</math>S<sub>f</sub> mit |orientierter Winkel (ab)| = |orientierter Winkel (a'b')| und a' geschnitten b' = P<sub>1</sub> und b' = c<br /></div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>= S<sub>a'</sub><math>\circ</math>S<sub>d</sub><math>\circ</math>S<sub>e</sub><math>\circ</math>S<sub>f</sub> mit a' <del style="font-weight: bold; text-decoration: none;">geschnitten d = T<sub>1</sub> und </del>|<del style="font-weight: bold; text-decoration: none;">orientierter Winkel (a'</del>d<del style="font-weight: bold; text-decoration: none;">)</del>| <del style="font-weight: bold; text-decoration: none;">= |orientierter Winkel (ab)</del>|<br /></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>= S<sub>a'</sub><math>\circ</math>S<sub>d</sub><math>\circ</math>S<sub>e</sub><math>\circ</math>S<sub>f</sub> mit a' |<ins style="font-weight: bold; text-decoration: none;">| </ins>d || <ins style="font-weight: bold; text-decoration: none;">e </ins><br /></div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>= S<sub>a"</sub><math>\circ</math>S<sub>d'</sub><math>\circ</math>S<sub>e</sub><math>\circ</math>S<sub>f</sub> <del style="font-weight: bold; text-decoration: none;">mit </del>a" <del style="font-weight: bold; text-decoration: none;">geschnitten </del>d = <del style="font-weight: bold; text-decoration: none;">T<sub>1</sub> und </del>|<del style="font-weight: bold; text-decoration: none;">orientierter Winkel (</del>a'd<del style="font-weight: bold; text-decoration: none;">)| = |orientierter Winkel (ab)</del>| und d' = e<br /></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>= S<sub>a"</sub><math>\circ</math>S<sub>d'</sub><math>\circ</math>S<sub>e</sub><math>\circ</math>S<sub>f</sub> <ins style="font-weight: bold; text-decoration: none;">|</ins>a"d<ins style="font-weight: bold; text-decoration: none;">'| </ins>= |a'd| und d' = e<br /></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>= S<sub>a"</sub><math>\circ</math>S<sub>f</sub> mit a" geschnitten f = T<sub>2</sub> und |orientierter Winkel (a"f)| = |orientierter Winkel (ab)|<br /></div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>= S<sub>a"</sub><math>\circ</math>S<sub>f</sub> mit a" geschnitten f = T<sub>2</sub> und |orientierter Winkel (a"f)| = |orientierter Winkel (ab)|<br /></div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>= D<sub>(T<sub>2</sub>,|<del style="font-weight: bold; text-decoration: none;">orientierter Winkel (ab)</del>|)</sub><br /></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>= D<sub>(T<sub>2</sub>,|<ins style="font-weight: bold; text-decoration: none;">180</ins>|)</sub><br /></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>--[[Benutzer:CIG UA|CIG UA]] ([[Benutzer Diskussion:CIG UA|Diskussion]]) 21:31, 16. Jan. 2019 (CET)</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>--[[Benutzer:CIG UA|CIG UA]] ([[Benutzer Diskussion:CIG UA|Diskussion]]) 21:31, 16. Jan. 2019 (CET)</div></td></tr>
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CIG UA
http://geometrie.idea-sketch.com/index.php?title=L%C3%B6sung_von_Zusatzaufgabe_12.1P_(WS_18/19)&diff=32758&oldid=prev
CIG UA am 16. Januar 2019 um 20:31 Uhr
2019-01-16T20:31:07Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Nächstältere Version</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Version vom 16. Januar 2019, 20:31 Uhr</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Zeile 1:</td>
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<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Zeigen Sie, dass die Verkettung dreier Punktspiegelungen wieder eine Punktspiegelung ist.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Zeigen Sie, dass die Verkettung dreier Punktspiegelungen wieder eine Punktspiegelung ist.<ins style="font-weight: bold; text-decoration: none;"><br /></ins></div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"><br /></ins></div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"><br /></ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">S<sub>a</sub><math>\circ</math>S<sub>b</sub><math>\circ</math>S<sub>c</sub><math>\circ</math>S<sub>d</sub><math>\circ</math>S<sub>e</sub><math>\circ</math>S<sub>f</sub> mit a geschnitten b = P<sub>1</sub> und c geschnitten d = P<sub>2</sub> und e geschnitten f = P<sub>2</sub><br /></ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">= S<sub>a'</sub><math>\circ</math>S<sub>b'</sub><math>\circ</math>S<sub>c</sub><math>\circ</math>S<sub>d</sub><math>\circ</math>S<sub>e</sub><math>\circ</math>S<sub>f</sub> mit |orientierter Winkel (ab)| = |orientierter Winkel (a'b')| und a' geschnitten b' = P<sub>1</sub> und b' = c<br /></ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">= S<sub>a'</sub><math>\circ</math>S<sub>d</sub><math>\circ</math>S<sub>e</sub><math>\circ</math>S<sub>f</sub> mit a' geschnitten d = T<sub>1</sub> und |orientierter Winkel (a'd)| = |orientierter Winkel (ab)|<br /></ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">= S<sub>a"</sub><math>\circ</math>S<sub>d'</sub><math>\circ</math>S<sub>e</sub><math>\circ</math>S<sub>f</sub> mit a" geschnitten d = T<sub>1</sub> und |orientierter Winkel (a'd)| = |orientierter Winkel (ab)| und d' = e<br /></ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">= S<sub>a"</sub><math>\circ</math>S<sub>f</sub> mit a" geschnitten f = T<sub>2</sub> und |orientierter Winkel (a"f)| = |orientierter Winkel (ab)|<br /></ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">= D<sub>(T<sub>2</sub>,|orientierter Winkel (ab)|)</sub><br /></ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">--[[Benutzer:CIG UA|CIG UA]] ([[Benutzer Diskussion:CIG UA|Diskussion]]) 21:31, 16. Jan. 2019 (CET)</ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"> </ins></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Kategorie:Geo_P]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Kategorie:Geo_P]]</div></td></tr>
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CIG UA
http://geometrie.idea-sketch.com/index.php?title=L%C3%B6sung_von_Zusatzaufgabe_12.1P_(WS_18/19)&diff=32709&oldid=prev
Schnirch am 8. Januar 2019 um 13:16 Uhr
2019-01-08T13:16:27Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Nächstältere Version</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Version vom 8. Januar 2019, 13:16 Uhr</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Zeile 1:</td>
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<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">Was ändert sich</del>, <del style="font-weight: bold; text-decoration: none;">wenn man </del>die <del style="font-weight: bold; text-decoration: none;">Reihenfolge bei der </del>Verkettung <del style="font-weight: bold; text-decoration: none;">zweier Achsenspiegelungen mit zwei parallelen Achsen vertauscht?<br /> </del></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">Zeigen Sie</ins>, <ins style="font-weight: bold; text-decoration: none;">dass </ins>die Verkettung <ins style="font-weight: bold; text-decoration: none;">dreier Punktspiegelungen wieder eine Punktspiegelung ist.</ins></div></td></tr>
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http://geometrie.idea-sketch.com/index.php?title=L%C3%B6sung_von_Zusatzaufgabe_12.1P_(WS_18/19)&diff=32707&oldid=prev
Schnirch: Die Seite wurde neu angelegt: „Was ändert sich, wenn man die Reihenfolge bei der Verkettung zweier Achsenspiegelungen mit zwei parallelen Achsen vertauscht?<br /> Kategorie:Geo_P“
2019-01-08T13:14:46Z
<p>Die Seite wurde neu angelegt: „Was ändert sich, wenn man die Reihenfolge bei der Verkettung zweier Achsenspiegelungen mit zwei parallelen Achsen vertauscht?<br /> <a href="/index.php?title=Kategorie:Geo_P&action=edit&redlink=1" class="new" title="Kategorie:Geo P (Seite nicht vorhanden)">Kategorie:Geo_P</a>“</p>
<p><b>Neue Seite</b></p><div>Was ändert sich, wenn man die Reihenfolge bei der Verkettung zweier Achsenspiegelungen mit zwei parallelen Achsen vertauscht?<br /> <br />
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