Das Volumen der Pyramide - Cavalieri

[justify][b]1. Das Prinzip von Cavalieri[/b][br]Haben zwei Körper gleicher Höhe beim Schnitt mit einer Ebene E flächengleiche Schnittflächen und gilt dies auch für jeden Schnitt mit einer zu E parallelen Ebene, dann haben die Körper den gleichen Rauminhalt.[br][br][img]data:image/png;base64,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[/img][br][/justify][br](Dieser Satz ist für uns noch nicht beweisbar; wir fassen ihn als Axiom auf.)
Zwei Stapel an gleich großen Platten haben immer das selbe Volumen. Probiere die Schieberegler aus.
Beispiel: Wir wollen das Prinzip von Cavalieri auf diese beiden Körpern anweden.
[img]data:image/png;base64,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[/img][br]Um den Satz von Cavalieri anzuwenden, müssen wir zeigen, dass jede Schnittfläche flächengleich ist. Berechne die Schnittflächen der beiden Figuren, vergleiche sie und kontrolliere dich mit der Lösung.[br]
Welche weitere Voraussetzung müssen die beiden Körper erfüllen, damit das Prinzip von Cavalieri angewendet werden kann?
Jetzt sind alle Vorraussetzungen für das Prinzip erfüllt und seine Aussage gilt: Klicke die richtige Aussage an. [br][br]Die beiden Körper sind:
[b]2. Anwendung dieses Prinzips auf Pyramiden[br][/b][img]data:image/png;base64,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[/img][br]Du siehst hier zwei unterschiedliche Pyramiden mit identischer Grundfläche, die beide gleich hoch sind. Die Schnittflächen [math]G_1[/math] und [math]G_2[/math] sind jeweils gleich groß (Dies kann über die Ähnlichkeit von Dreiecken beweisen werden). [br][br]Nach dem Prinzip von Cavalieri folgt daher:[br][b]Zwei Pyramiden, mit gleicher Grundfläche und gleicher Höhe, besitzen dasselbe Volumen.[/b]
Die Beziehung zwischen Prisma- und Pyramidenvolumen
[justify][b]3. Das Volumen einer dreiseitigen Pyramide:[br][/b]Wir wollen nun das Volumen der orangen dreiseitigen Pyramide berechnen. Wir ergänzen diese durch zwei Ergänzungspyramiden (gelb und lila) zu einem Prisma.[br]Verschiebe die weißen Punkte so, dass ein Prisma entsteht.[br][br]Den blauen Punkt kannst du verwenden, um die Abmessungen der Körper zu ändern. Den gelben Punkt bitte nicht verändern, sonst kannst du nicht mehr weitermachen.[/justify]
Wir wollen nun wieder das Prinzip von Cavalieri auf die Pyramiden anwenden und zeigen, dass sie alle volumengleich sind.[br]Drehe die Ansicht (Kästchen neben dem Mauskästchen) und verschiebe (Mauskästchen) die Pyramiden so, dass du bei einer Ergänzungspyramide und der orangen Pyramide gut erkennen kannst, dass sie in der Grundfläche übereinstimmen. Drehe jetzt die Ansicht, um noch zu überprüfen, ob auch die Höhe übereinstimmt. [br]Jetzt mit der anderen Ergänzungspyramide[br][br]Wenn du nicht weiterkommst, hole dir einen Tipp in der Lösung. (Bei der Antwort einfach ein Leerzeichen einfügen und die Lösung anschauen)
Erkläre, was uns das Überprüfen gebrach hat.
[color=#ff0000][b]Das Volumen der Pyramide[br][/b][color=#000000]Folgere mit diesem Wissen aus der Volumenformel des Prismas das Volumen der Pyramide.[/color][/color]
[b]4. Folgerung für n-eckige Pyramide[br][img]data:image/png;base64,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[/img][/b][br]Wir können dieses Verfahren auf jede Pyramide mit n-eckiger Grundfläche verallgemeinern, da jedes n-Eck in Dreiecke zerlegt werden kann und damit eine solche Pyramide in dreieckige Pyramiden gleicher Höhe zerlegt werden kann. Sind G1,.... Gn ihre Grundflächen, so gilt:[br][br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAqAAAAA0CAYAAABVVIq5AAAMpUlEQVR4nO2dvY7rNhOGeQvqt4qK3IAq3YDuICpSBDiFASFNmjS6gQN1CwQB3KR2leYA9g24SiekCmAISJci2hTnJDlf8CWZFLsj01r9kNQPZfJ9AAG73rUtzXCGL4cUJQgAAAAAAIAVEbZPAAAAAAAA+AUEKAAAAAAAWBWPBOiJdkLQ7mT7PFwB9vQb+N8usD8AfuBurHsiQC/0GAsSjjpxfWBPv4H/7QL7A+AHbse6BwL06kBXnbgusKffwP92gf0B8AP3Y91pAXo57SgWgoSIKY5jZ524FrCn38D/doH9AfADX2LdYQH6MnqId3S6EF0e3XXiOsCefgP/2wX2B8AP/Il1hwUo0eVyuf7ssBPXAvb0G/jfLrA/AH7gS6w7LUBlXHaiDWBPv4H/7QL7A+AHLsc6BCgwAvb0G/jfLrA/AH7gcqxDgAIjYE+/gf/tAvsD4AcuxzoEKDAC9vQb+N8usD8AfuByrEOAAiNgT7+B/+0C+wPgBy7HOgQoMAL29Bv43y6wPwB+4HKs9wrQNE1JCEHH43H0Q4IgoCAIqK7rWU9uTkydeD6fKcsyCsOweSJBGIaU5zlVVWV8PkIIOp/Pr75LCEFFURh/7lqY2rOua9rv95QkSWNPIQSlaUqHw8H4fIqioCRJXr3O3wPmBfFkF137sy2GKMuShBCdfqiqivI8pyiKGr8FQUBZlr2y+5ZYqr2BK4fDgdI0pSAIGhtHUUT7/V5bE5zPZwqCYNA3SZJ0xrQQorMPuHfWzrV9uaIois48O4XejHQ4HEgIQVmWDX7A8XhU+j/bmDgxy7Im0aZpSkVRUFEUTRIOgsBYNN17h2liz7IsmyQVRRHleU5FUVCWZc3rSZIYDWQgQNcF8WSXJQRoFEWdeZz7Ao5P9hsXKYQQlOe5yWUsypLtDTwXE9iWYRhSlmVUFAXled6InjAMqSxLrc9NkmRQSEKAjjOl7W9CgBJdK5tD8IVueRRMpO9Evq40TTsFEY/UxkZrMofDgYIgaERRkiRN4PJn3kuHqWtPFp9BEHRW1eu6bmyu05mFYUhRFFEYhhSGYWNb9gkE6DIgnuyian+ugERR1Niqq/Nhkdm2Pb8eRVGnkKiqqunUVGbL1mKJ9gauyOKzL772+33TdnSoqupVe+LXuP1GUdTkfQYC9BnTtj+WK1YXoHwhQ4klCIKbRuAC3HGNBQ4nZx3BxGVx/vzz+dw0kiU6zK0EJYuEsU6KR86qVdCqquh4PDYV1P1+f9NRzi1A70nULJEwTHApnu6Nuq7pfD43YqFvylwW7vJ7VUQaiwNdoTGGaftdsr2pcE+DXtNzZd+M2U5FQ/SdV1tXlGXZiFouZMjtcit9nU2mtP2xXLG6AOWLSdO08+98Ea4leNX1r3VdUxiGWtfPSxa4eiO/V+4wj8fjTbk8yzKjqektBCWvLVPpoPI8pyRJtKoSURRRkiSU5/mrtcicYLnCKi8BMKnY3JOo2YoAdSme7hGOC87X7fbAr7f9w529ikBLkqS3nzDFtP0u2d5U8EGAch4diyGOO91c29VWq6pqYpxzvgz3dWVZ3iwPSdNUexnAvTK17Q/lCjkei6K4WWZhGkOjLW+oIsUXazqFwRc0dqwNB9cS8IJtoucELyd37jD5+3lNjTzFqMsWBCh3ZEuINp4KKsuS6rpuEhDDtuNKPa9RYhubVlcgQNVxKZ7kzx07bNudybKM9vt983N7+p3zeBt+3dZ1mLbfJdubCq4LUC4oLNmvcFVdrsqXZUlRFFFd11SW5av7BeRY53Wi8lpI0wGnSqxvpT+Y2vaHcgXHI8+K8D0crBFNbDB6pvyl7aRV1/XkRng4HJoFx0PHmshrTaYShqFW8pQ7tvaIjas3umJ/CwJ06jphfj8fOjbgBNuuzpjePAcBqsec8aTLEvFERE3nN3bcS9WF13u14Y5lKiwETN6n236ntjd+Px8m5+26AF1r5pPX9avCPmMBxeR53qlhVFGJ9S3czLZ0ruV4DMPwRsyzFjRZijna8vii2h04N8ItGH5OuNPqc6JqlZaTt4kA7fpu1WS8xdEaJ7muc++rgvM5tu9u5/+f47tVgvWeql1bnFGYK57m/u4tiPMt0FVpYoZ80d5GrS8O2M4qQm6O9ju1vbWvQSVf9tlCPmwXAZg5zpX91GWXvnxpcv264rivfdxT0WAKS+faIb+bDrqU3iGvo5Nf2/renyaMTS+0Rz7tkjcL8yHh0wc3oK41V6odZvv8hBBNhcPWaG1oKq9dBR+7s5I7TFW7drVdRiUxtqtd8rYjW6t2tW3JgyBeL2VjRmFqPE1hjnhynaHOecgXvFa73dba4o19ryJA52i/c7e3LMtGv7NtC3kamI+tbFM1x7kOLanqmh2YKkBVcyu3lTa+CNClcy3nzK71pYsK0Ha1c2jUrMMWKzZEwyP/Nm3DHw4HqqpKWygRDQeKaYe5hdH30MipzViyYLuqTp0OBYaJbe4pmW1FZE2JJxYvcj5Q9f0S8SR/7thh2+4qDNlIZxDdZU/+TFUBqvKZKkxpb22yLNM+d9en4McqbW3k/+X3yjHdZ1/dIk7fOU3N2SqxvpX+YM6232YoHhcVoDzHLy/2nyPBzr0GVKWhqIhbnadA9RneBQE6lz117oIfSxa8V5kqEKDmcbqFeOoTpCosJUDXWgM6l/2HGLKRzl3wY53TmgJ0jvxNdM3hujNGrgtQIvW74Im6BSi3N/69a1BpUgFdQoCqxPrUWcUt5NoxrAlQouuNIHzXsWt7f8qo7qVF5LYAnRO201hgDNmgb7Nsle/tAgJ0HabEU1u8qEyJtr93bgHqEn1r/InU9wEl2pYAnSN/E3XvjaqCDwJUdR9Qom4Byu1pqJ/UPbelBOg9MVfb78KqAOW7hnWmU+8ZFtxJ0r0nZV3XN0sI2kCA3iI/Cal9lyIjb4LbtoGJ+CSCAN2KyDKNJwjQ5eEny3TBcTe0owfvwboVAUo0PX+bik8iPwSo/CSkPM87K6FVVTUVORMBqvuQGwjQZ6a2/T6sClCi56DkROPD48t4+wauEBTF9RnIbIe+Z6puRYBuibIsbzav5X3E8jxvkhnbWm5fpuKTaH4BOoWhNU19yUB3vdWWMYknCNDlYZHQN50qC8woihq/8XIY9mlRFJ2fYSpAp2Kav6eIzymo7Nowda3unPC+y2xH3mdX3muX2wyfm6oANbnPBAL0yhTt0od1AcoX5UJnqEpZlq8SbRAElKbpoPMgQLup67pZ+8v25CSV5/krkTm0RkgFCNBtoRtPEKDL0/ckJJmqqqgoipuBIrfL/X4/uBbQlgAlmt7e1uTeBChzPB5vhA0XGLoe+6oqQE3uM4EAvcVUu/RhXYACdUwEKHhNW6jy4dr+s6CbKQIUqBOG4eyP0mRsijod+nY3cPl+h7VRFaBRFCmtYwT3Ta8A/eTNz5s69LnQ4y6+JpI4pt3pMsFUvgN7+o2Z/38Vgv59emp+//f9e/rwxRf0qxD08bvvjF8nIvrz7Vv63/ffz3Bt98Cy8TdlmQvwhzXimUWq7vPj3cGfvtbRCuiJdnH31gXxo5uOXBbY02/M/f/7l1/S719/3fz+4c0b+vDVV/Txm2/o6eHB+PW/3r2jp4cH+vunn2a8zq2yTvzZWvsI7oc14jlNU49nOfzqa50UoJfHl9HD7kTsssvpkWIhSIiYHPTjosCefjPF///88gv99umn9P7zz+njt99O6qT49f//8AM9PTzQX+/ezX2pm2St+OP9elEFBX0sHc/n81lp2y9X8a2vdXAK/kKPsSAhdnRq/+XFubv2H8AAsKffTPf/3z/+SO8/+2zyNJ38+h9v385xcXcA4g9sC8TzUvgX605WQPtw1Ym2gD39Bv63C+wPgB+4GuveCNDLafdcxo4fybEqthVgT7+B/+0C+wPgBy7HuvMCtFlT8eJAxwYQqwN7+g38bxfYHwA/8CHWvRCgcXzrSNdGEWsCe/oN/G8X2B8AP/Ah1p0XoFcudJLuMANTgT39Bv63C+wPgB+4G+seCVCiobvMgAmwp9/A/3aB/QHwAzdj3TMBSnTauedEm8CefgP/2wX2B8APXIx1BwXoiXa96yVe/uaYE5cF9vQb+N8usD8AfuBfrDsoQHmkcPs0AbqcXkrY7q2jWBrY02/gf7vA/gD4gW+x7qQAvY4WOg4H7yRbHtjTb+B/u8D+APiBX7HuqACl51HDTtrCQMQUy6MKoAfs6Tfwv11gfwD8wKNYd1eAAgAAAACATQIBCgAAAAAAVgUCFAAAAAAArAoEKAAAAAAAWBUIUAAAAAAAsCoQoAAAAAAAYFX+A5/X89YQ800pAAAAAElFTkSuQmCC[/img][br]
Zusammenfassung
Close

Information: Das Volumen der Pyramide - Cavalieri