http://geometrie.idea-sketch.com/index.php?action=history&feed=atom&title=L%C3%B6sung_von_Aufgabe_2.02_SoSe_2013_S Lösung von Aufgabe 2.02 SoSe 2013 S - Versionsgeschichte 2026-08-09T11:28:52Z Versionsgeschichte dieser Seite in Geometrie-Wiki MediaWiki 1.43.9 http://geometrie.idea-sketch.com/index.php?title=L%C3%B6sung_von_Aufgabe_2.02_SoSe_2013_S&diff=22691&oldid=prev *m.g.*: /* Aufgabe 2.02 SoSe 2013 */ 2013-05-02T08:45:31Z <p><span class="autocomment">Aufgabe 2.02 SoSe 2013</span></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="de"> <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 2. Mai 2013, 08:45 Uhr</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l9">Zeile 9:</td> <td colspan="2" class="diff-lineno">Zeile 9:</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># eine notwendige aber nicht hinreichende Bedingung dafür, dass &lt;math&gt;\overline{AC} \tilde= \overline{BD}&lt;/math&gt; gilt,</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># eine notwendige aber nicht hinreichende Bedingung dafür, dass &lt;math&gt;\overline{AC} \tilde= \overline{BD}&lt;/math&gt; gilt,</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># ein Kriterium dafür, dass &lt;math&gt;\overline{AC} \tilde= \overline{BD}&lt;/math&gt; gilt.</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># ein Kriterium dafür, dass &lt;math&gt;\overline{AC} \tilde= \overline{BD}&lt;/math&gt; gilt.</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;">=Hilfe=</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 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;">&lt;ggb_applet width="773" height="463"  version="4.2" ggbBase64="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" showResetIcon = "false" enableRightClick = "false" errorDialogsActive = "true" enableLabelDrags = "false" showMenuBar = "false" showToolBar = "false" showToolBarHelp = "false" showAlgebraInput = "false" useBrowserForJS = "true" allowRescaling = "true" /&gt;</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;"><div>=Lösung von User ...=</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>=Lösung von User ...=</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> <!-- diff cache key geometrie:diff:1.41:old-22570:rev-22691:php=table --> </table> *m.g.* http://geometrie.idea-sketch.com/index.php?title=L%C3%B6sung_von_Aufgabe_2.02_SoSe_2013_S&diff=22570&oldid=prev *m.g.* am 27. April 2013 um 11:42 Uhr 2013-04-27T11:42:05Z <p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="de"> <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 27. April 2013, 11:42 Uhr</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l3">Zeile 3:</td> <td colspan="2" class="diff-lineno">Zeile 3:</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>| valign=&quot;top&quot; |</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>| valign=&quot;top&quot; |</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>&lt;!--- ---&gt;</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>&lt;!--- ---&gt;</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;">=Aufgabe 2.02 SoSe 2013=</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;">Unter einem Trapez wollen wir ein Viereck verstehe, das ein Paar zueinender paralleler Seiten hat. Es sei &lt;math&gt;\overline{ABCD}&lt;/math&gt; ein Trapez. Formulieren Sie</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;"># eine zwar hinreichende aber nicht notwendige Bedingung dafür, dass &lt;math&gt;\overline{AC} \tilde= \overline{BD}&lt;/math&gt; gilt,</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;"># eine hinreichende und notwendige Bedingung dafür, dass &lt;math&gt;\overline{AC} \tilde= \overline{BD}&lt;/math&gt; gilt,</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;"># eine notwendige aber nicht hinreichende Bedingung dafür, dass &lt;math&gt;\overline{AC} \tilde= \overline{BD}&lt;/math&gt; gilt,</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;"># ein Kriterium dafür, dass &lt;math&gt;\overline{AC} \tilde= \overline{BD}&lt;/math&gt; gilt.</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;"><div>=Lösung von User ...=</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>=Lösung von User ...=</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> <!-- diff cache key geometrie:diff:1.41:old-22556:rev-22570:php=table --> </table> *m.g.* http://geometrie.idea-sketch.com/index.php?title=L%C3%B6sung_von_Aufgabe_2.02_SoSe_2013_S&diff=22556&oldid=prev *m.g.*: Die Seite wurde neu angelegt: „<div style="margin:0; margin-right:4px; border:1px solid #27408B; padding: 1em 1em 1em 1em; background-color:#FFFF99; align:left;"> {|width=90%| style="background…“ 2013-04-27T11:38:04Z <p>Die Seite wurde neu angelegt: „&lt;div style=&quot;margin:0; margin-right:4px; border:1px solid #27408B; padding: 1em 1em 1em 1em; background-color:#FFFF99; align:left;&quot;&gt; {|width=90%| style=&quot;background…“</p> <p><b>Neue Seite</b></p><div>&lt;div style=&quot;margin:0; margin-right:4px; border:1px solid #27408B; padding: 1em 1em 1em 1em; background-color:#FFFF99; align:left;&quot;&gt;<br /> {|width=90%| style=&quot;background-color:#FFFF99; padding:1em&quot;<br /> | valign=&quot;top&quot; |<br /> &lt;!--- ---&gt;<br /> <br /> =Lösung von User ...=<br /> <br /> =Lösung von User ...=<br /> <br /> =Lösung von User ...=<br /> <br /> <br /> <br /> &lt;!--- Was hier drunter steht muss stehen bleiben ---&gt;<br /> |}<br /> &lt;/div&gt;<br /> <br /> [[Kategorie:Einführung_S]]</div> *m.g.*