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	<title>Zusatzaufgaben 8 (WS 19 20) - Versionsgeschichte</title>
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	<updated>2026-08-04T14:54:10Z</updated>
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		<id>http://geometrie.idea-sketch.com/index.php?title=Zusatzaufgaben_8_(WS_19_20)&amp;diff=34143&amp;oldid=prev</id>
		<title>Tutorin Laura am 28. November 2019 um 16:34 Uhr</title>
		<link rel="alternate" type="text/html" href="http://geometrie.idea-sketch.com/index.php?title=Zusatzaufgaben_8_(WS_19_20)&amp;diff=34143&amp;oldid=prev"/>
		<updated>2019-11-28T16:34:57Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;de&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Nächstältere Version&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Version vom 28. November 2019, 16:34 Uhr&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l4&quot;&gt;Zeile 4:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Zeile 4:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;[[Datei:lwl.jpg|500px]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;[[Datei:lwl.jpg|500px]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;[[Lösung von Zusatzaufgabe 8.1P (&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;WS_18_19&lt;/del&gt;)]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;[[Lösung von Zusatzaufgabe 8.1P (&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;WS_19_20&lt;/ins&gt;)]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l12&quot;&gt;Zeile 12:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Zeile 12:&lt;/td&gt;&lt;/tr&gt;
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showResetIcon = &amp;quot;false&amp;quot; enableRightClick = &amp;quot;false&amp;quot; errorDialogsActive = &amp;quot;true&amp;quot; enableLabelDrags = &amp;quot;false&amp;quot; showMenuBar = &amp;quot;true&amp;quot; showToolBar = &amp;quot;true&amp;quot; showToolBarHelp = &amp;quot;false&amp;quot; showAlgebraInput = &amp;quot;false&amp;quot; useBrowserForJS = &amp;quot;true&amp;quot; allowRescaling = &amp;quot;true&amp;quot; /&amp;gt;&amp;lt;br /&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;[[Lösung von Zusatzaufgabe 8.2P (&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;WS_18_19&lt;/del&gt;)]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;[[Lösung von Zusatzaufgabe 8.2P (&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;WS_19_20&lt;/ins&gt;)]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;[[Kategorie:Geo_P]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;[[Kategorie:Geo_P]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;

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&lt;/table&gt;</summary>
		<author><name>Tutorin Laura</name></author>
	</entry>
	<entry>
		<id>http://geometrie.idea-sketch.com/index.php?title=Zusatzaufgaben_8_(WS_19_20)&amp;diff=34142&amp;oldid=prev</id>
		<title>Tutorin Laura: Die Seite wurde neu angelegt: „==Aufgabe 8.1 == Nachstehende Abbildung zeigt den Schnitt durch einen Lichtwellenleiter (LWL) und den Weg, den ein Laserstrahl bis zum Punkt &#039;&#039;P&#039;&#039; zurücklegt …“</title>
		<link rel="alternate" type="text/html" href="http://geometrie.idea-sketch.com/index.php?title=Zusatzaufgaben_8_(WS_19_20)&amp;diff=34142&amp;oldid=prev"/>
		<updated>2019-11-28T16:34:30Z</updated>

		<summary type="html">&lt;p&gt;Die Seite wurde neu angelegt: „==Aufgabe 8.1 == Nachstehende Abbildung zeigt den Schnitt durch einen Lichtwellenleiter (LWL) und den Weg, den ein Laserstrahl bis zum Punkt &amp;#039;&amp;#039;P&amp;#039;&amp;#039; zurücklegt …“&lt;/p&gt;
&lt;p&gt;&lt;b&gt;Neue Seite&lt;/b&gt;&lt;/p&gt;&lt;div&gt;==Aufgabe 8.1 ==&lt;br /&gt;
Nachstehende Abbildung zeigt den Schnitt durch einen Lichtwellenleiter (LWL) und den Weg, den ein Laserstrahl bis zum Punkt &amp;#039;&amp;#039;P&amp;#039;&amp;#039; zurücklegt (Pfeile). Das Laserlicht im LWL wird jeweils an den Grenzflächen (Glas, Luft) total reflektiert. Die beiden Grenzgeraden &amp;#039;&amp;#039;AB&amp;#039;&amp;#039; und &amp;#039;&amp;#039;CD&amp;#039;&amp;#039; können als ideale Spiegel betrachtet werden. Konstruieren Sie nur mit Zirkel und Lineal den weiteren Weg des Lichts vom Punkt &amp;#039;&amp;#039;P&amp;#039;&amp;#039; aus bis zur Begrenzungslinie &amp;lt;math&amp;gt;\overline{BC}&amp;lt;/math&amp;gt;.&amp;lt;br /&amp;gt;&amp;lt;br /&amp;gt;&amp;lt;br /&amp;gt;&amp;lt;br /&amp;gt;&amp;lt;br /&amp;gt;					  &lt;br /&gt;
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[[Datei:lwl.jpg|500px]]&lt;br /&gt;
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[[Lösung von Zusatzaufgabe 8.1P (WS_18_19)]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==Aufgabe 8.2 (Sternchenaufgabe)==&lt;br /&gt;
Die nachfolgende GeoGebra-Applikation zeigt einen Billardtisch mit zwei Kugeln in der Draufsicht. Kugel A soll durch einen zentralen Stoß die Kugel B nun über &amp;#039;&amp;#039;&amp;#039;drei&amp;#039;&amp;#039;&amp;#039; Banden treffen. Konstruieren und Begründen Sie Ihre Konstruktion.&amp;lt;br /&amp;gt;&lt;br /&gt;
Falls nichts angezeigt wird, können Sie mit folgendem Link [{{fullurl:{{PAGENAME}}|action=purge}} den Servercache leeren].&amp;lt;br /&amp;gt;&amp;lt;br /&amp;gt;&lt;br /&gt;
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&lt;br /&gt;
[[Lösung von Zusatzaufgabe 8.2P (WS_18_19)]]&lt;br /&gt;
&lt;br /&gt;
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[[Kategorie:Geo_P]]&lt;/div&gt;</summary>
		<author><name>Tutorin Laura</name></author>
	</entry>
</feed>