http://geometrie.idea-sketch.com/index.php?action=history&feed=atom&title=L%C3%B6sung_von_Aufgabe_8.3P_%28SoSe_13%29 Lösung von Aufgabe 8.3P (SoSe 13) - Versionsgeschichte 2026-08-15T08:38:43Z Versionsgeschichte dieser Seite in Geometrie-Wiki MediaWiki 1.43.9 http://geometrie.idea-sketch.com/index.php?title=L%C3%B6sung_von_Aufgabe_8.3P_(SoSe_13)&diff=24236&oldid=prev Tutorin Anne am 3. Juli 2013 um 08:19 Uhr 2013-07-03T08:19:50Z <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 3. Juli 2013, 08:19 Uhr</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l4">Zeile 4:</td> <td colspan="2" class="diff-lineno">Zeile 4:</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" 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>Mittels Bildschirmfotografie könnt ihr einfach eure Lösungskonstruktion speichern und anschließend hochladen.--[[Benutzer:Tutorin Anne|Tutorin Anne]] 15:25, 26. Jun. 2013 (CEST)&lt;br /&gt;</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>Mittels Bildschirmfotografie könnt ihr einfach eure Lösungskonstruktion speichern und anschließend hochladen.--[[Benutzer:Tutorin Anne|Tutorin Anne]] 15:25, 26. Jun. 2013 (CEST)<ins style="font-weight: bold; text-decoration: none;">&lt;br /&gt;</ins>&lt;br /&gt;</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" 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>Leider funktioniert bei mir GeoGebra nicht;-(. Deshalb schreibe ich meine Konstruktionsbeschreibung:</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>Leider funktioniert bei mir GeoGebra nicht;-(. Deshalb schreibe ich meine Konstruktionsbeschreibung:<ins style="font-weight: bold; text-decoration: none;">&lt;br /&gt;</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" 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>1. Punkt A und B wir gespiegelt</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>1. Punkt A und B wir gespiegelt<ins style="font-weight: bold; text-decoration: none;">&lt;br /&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;"> mir ist klar, an was du gespiegelt hat, allerdins solltest du immer nennen, an was (Punkt, Gerade, Ebene) du spiegelst und wie diese heißen. &lt;br /&gt;</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 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;">2. Verbinde die Punkte A´ und B` zu einer Gerade g&lt;br /&gt;</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" 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;">2. Verbinde die Punkte A´ und B` zu einer Gerade g</del></div></td><td colspan="2" class="diff-side-added"></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 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;">3. A´B´geschnitten mit g= (S und P) kurz gesagt es entstehen zwei Schnittpunkte&lt;br /&gt;</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" 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;">3. A´B´geschnitten mit g= (S und P) kurz gesagt es entstehen zwei Schnittpunkte</del></div></td><td colspan="2" class="diff-side-added"></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 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;">4. Verbinde die Punkte A und P, '''P und B''' sowie B und S zu einer Strecke&lt;br /&gt;</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" 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;">4. Verbinde die Punkte A und P sowie B und S zu einer Strecke</del></div></td><td colspan="2" class="diff-side-added"></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" 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>Jetzt weis ich nicht, wie ich weiter schreiben soll, weil jetzt wissen wir ja wenn der Punkt A auf P schlägt und dann auf C haben wir die Kugel über 2 Banden getroffen. Ich habe gespiegelt weil wir ja dadurch die kürzeste Strecke erhalten nach Def. Einfallswinkel gleich Ausfallswinkel.--[[Benutzer:Blumenkind|Blumenkind]] 18:06, 30. Jun. 2013 (CEST)Blumenkind 18:04, 30.6.13<ins style="font-weight: bold; text-decoration: none;">&lt;br /&gt;&lt;br /&gt;</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>Jetzt weis ich nicht, wie ich weiter schreiben soll, weil jetzt wissen wir ja wenn der Punkt A auf P schlägt und dann auf C haben wir die Kugel über 2 Banden getroffen. Ich habe gespiegelt weil wir ja dadurch die kürzeste Strecke erhalten nach Def. Einfallswinkel gleich Ausfallswinkel.--[[Benutzer:Blumenkind|Blumenkind]] 18:06, 30. Jun. 2013 (CEST)Blumenkind 18:04, 30.6.13</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;">Es ist richtig, dass du durch die Spiegelung (und die Erklärung steht dazu bei Aufgabe 8.1) die kürzeste Strecke erhälst. Es ist auch so, dass dann die Winkel gleich groß sind und deshalb die Kugel wirklich so rollen würde. Ich kenne aber keine Definition die "Einfallswinkel gleich Ausfallswinkel" heißt und was da drin stehen sollte. (Deshalb bitte auch nicht damit begründen. - Bevor man Def. ... hinschreibt, sich immer fragen oder nachschauen, ob es diese Definition gibt und was da genau drin steht.)--[[Benutzer:Tutorin Anne|Tutorin Anne]] 10:19, 3. Jul. 2013 (CEST)&lt;br /&gt;</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;"><div>[[Kategorie: Einführung_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: Einführung_P]]</div></td></tr> <!-- diff cache key geometrie:diff:1.41:old-24141:rev-24236:php=table --> </table> Tutorin Anne http://geometrie.idea-sketch.com/index.php?title=L%C3%B6sung_von_Aufgabe_8.3P_(SoSe_13)&diff=24141&oldid=prev Blumenkind am 30. Juni 2013 um 16:06 Uhr 2013-06-30T16:06:47Z <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 30. Juni 2013, 16:06 Uhr</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Zeile 1:</td> <td colspan="2" class="diff-lineno">Zeile 1:</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>Die nachfolgende GeoGebra-Applikation zeigt einen Billardtisch mit zwei Kugeln in der Draufsicht. Kugel A soll durch einen zentralen Stoß die Kugel B über zwei Banden treffen. Konstruieren und Begründen Sie Ihre Konstruktion.&lt;br /&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>Die nachfolgende GeoGebra-Applikation zeigt einen Billardtisch mit zwei Kugeln in der Draufsicht. Kugel A soll durch einen zentralen Stoß die Kugel B über zwei Banden treffen. Konstruieren und Begründen Sie Ihre Konstruktion.&lt;br /&gt;</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;ggb_applet width=&quot;754&quot; height=&quot;535&quot;  version=&quot;4.0&quot; ggbBase64=&quot;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&quot; showResetIcon = &quot;false&quot; enableRightClick = &quot;false&quot; errorDialogsActive = &quot;true&quot; enableLabelDrags = &quot;false&quot; showMenuBar = &quot;true&quot; showToolBar = &quot;true&quot; showToolBarHelp = &quot;false&quot; showAlgebraInput = &quot;false&quot; useBrowserForJS = &quot;true&quot; allowRescaling = &quot;true&quot; /&gt;&lt;br /&gt;&lt;br /&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;ggb_applet width=&quot;754&quot; height=&quot;535&quot;  version=&quot;4.0&quot; ggbBase64=&quot;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&quot; showResetIcon = &quot;false&quot; enableRightClick = &quot;false&quot; errorDialogsActive = &quot;true&quot; enableLabelDrags = &quot;false&quot; showMenuBar = &quot;true&quot; showToolBar = &quot;true&quot; showToolBarHelp = &quot;false&quot; showAlgebraInput = &quot;false&quot; useBrowserForJS = &quot;true&quot; allowRescaling = &quot;true&quot; /&gt;&lt;br /&gt;&lt;br /&gt;</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;"></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;"><div>Mittels Bildschirmfotografie könnt ihr einfach eure Lösungskonstruktion speichern und anschließend hochladen.--[[Benutzer:Tutorin Anne|Tutorin Anne]] 15:25, 26. Jun. 2013 (CEST)&lt;br /&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>Mittels Bildschirmfotografie könnt ihr einfach eure Lösungskonstruktion speichern und anschließend hochladen.--[[Benutzer:Tutorin Anne|Tutorin Anne]] 15:25, 26. Jun. 2013 (CEST)&lt;br /&gt;</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;">Leider funktioniert bei mir GeoGebra nicht;-(. Deshalb schreibe ich meine Konstruktionsbeschreibung:</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;">1. Punkt A und B wir gespiegelt</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;"></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;">2. Verbinde die Punkte A´ und B` zu einer Gerade g</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;"></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;">3. A´B´geschnitten mit g= (S und P) kurz gesagt es entstehen zwei Schnittpunkte</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;"></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;">4. Verbinde die Punkte A und P sowie B und S zu einer Strecke</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;"></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;">Jetzt weis ich nicht, wie ich weiter schreiben soll, weil jetzt wissen wir ja wenn der Punkt A auf P schlägt und dann auf C haben wir die Kugel über 2 Banden getroffen. Ich habe gespiegelt weil wir ja dadurch die kürzeste Strecke erhalten nach Def. Einfallswinkel gleich Ausfallswinkel.--[[Benutzer:Blumenkind|Blumenkind]] 18:06, 30. Jun. 2013 (CEST)Blumenkind 18:04, 30.6.13</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>[[Kategorie: Einführung_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: Einführung_P]]</div></td></tr> <!-- diff cache key geometrie:diff:1.41:old-24021:rev-24141:php=table --> </table> Blumenkind http://geometrie.idea-sketch.com/index.php?title=L%C3%B6sung_von_Aufgabe_8.3P_(SoSe_13)&diff=24021&oldid=prev Tutorin Anne am 26. Juni 2013 um 13:25 Uhr 2013-06-26T13:25:20Z <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 26. Juni 2013, 13:25 Uhr</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l2">Zeile 2:</td> <td colspan="2" class="diff-lineno">Zeile 2:</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;ggb_applet width=&quot;754&quot; height=&quot;535&quot;  version=&quot;4.0&quot; ggbBase64=&quot;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&quot; 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showResetIcon = &quot;false&quot; enableRightClick = &quot;false&quot; errorDialogsActive = &quot;true&quot; enableLabelDrags = &quot;false&quot; showMenuBar = &quot;true&quot; showToolBar = &quot;true&quot; showToolBarHelp = &quot;false&quot; showAlgebraInput = &quot;false&quot; useBrowserForJS = &quot;true&quot; allowRescaling = &quot;true&quot; /&gt;&lt;br /&gt;&lt;br /&gt;</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 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;">Mittels Bildschirmfotografie könnt ihr einfach eure Lösungskonstruktion speichern und anschließend hochladen.--[[Benutzer:Tutorin Anne|Tutorin Anne]] 15:25, 26. Jun. 2013 (CEST)&lt;br /&gt;</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>[[Kategorie: Einführung_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: Einführung_P]]</div></td></tr> <!-- diff cache key geometrie:diff:1.41:old-23898:rev-24021:php=table --> </table> Tutorin Anne http://geometrie.idea-sketch.com/index.php?title=L%C3%B6sung_von_Aufgabe_8.3P_(SoSe_13)&diff=23898&oldid=prev Schnirch: Die Seite wurde neu angelegt: „Die nachfolgende GeoGebra-Applikation zeigt einen Billardtisch mit zwei Kugeln in der Draufsicht. Kugel A soll durch einen zentralen Stoß die Kugel B über zwei …“ 2013-06-13T11:31:29Z <p>Die Seite wurde neu angelegt: „Die nachfolgende GeoGebra-Applikation zeigt einen Billardtisch mit zwei Kugeln in der Draufsicht. Kugel A soll durch einen zentralen Stoß die Kugel B über zwei …“</p> <p><b>Neue Seite</b></p><div>Die nachfolgende GeoGebra-Applikation zeigt einen Billardtisch mit zwei Kugeln in der Draufsicht. Kugel A soll durch einen zentralen Stoß die Kugel B über zwei Banden treffen. Konstruieren und Begründen Sie Ihre Konstruktion.&lt;br /&gt;<br /> &lt;ggb_applet width=&quot;754&quot; height=&quot;535&quot; version=&quot;4.0&quot; ggbBase64=&quot;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&quot; showResetIcon = &quot;false&quot; enableRightClick = &quot;false&quot; errorDialogsActive = &quot;true&quot; enableLabelDrags = &quot;false&quot; showMenuBar = &quot;true&quot; showToolBar = &quot;true&quot; showToolBarHelp = &quot;false&quot; showAlgebraInput = &quot;false&quot; useBrowserForJS = &quot;true&quot; allowRescaling = &quot;true&quot; /&gt;&lt;br /&gt;&lt;br /&gt;<br /> <br /> [[Kategorie: Einführung_P]]</div> Schnirch