Activité Geogebra : Cercles et Polygones
Dans cette activité, tu vas retracer les formes géométriques étudiées dans la séquence à l'aide de l'outil de géométrie dynamique Geogebra.
[size=100][size=200][color=#ff0000]I. Cercles [/color][br][/size][/size][br]Commençons par des cercles.[br][br]
[color=#ff0000][b]1)[/b] [/color]Rappelle les définitions...[color=#ff0000][br][b] a) [/b][/color]du cercle de centre A.
Le cercle de centre A est constitué de tous les points situés à la même distance du point A. [br]
[b][color=#ff0000] b)[/color][/b] du rayon d'un cercle ?
La distance commune entre les points du cercle et le centre est appelée le rayon du cercle.
[color=#ff0000][b]3)[/b][/color] Construit des cercles avec Geogebra. [br][br]Il existe deux outils pour construire un cercle avec Geogebra. [br]Le premier demande de cliquer sur le centre du cercle puis de renseigner le rayon du cercle :[br][br]Dans la fenêtre ci-dessous :[br][b] [color=#ff0000]a)[/color][/b] Construit le cercle de centre A et de rayon 5cm.[br][br] [b][color=#ff0000]b)[/color][/b] Construit le cercle de centre B et de rayon 7.5cm.
Le deuxième demande de cliquer sur le centre du cercle puis sur un point par lequel passe le cercle[br][br]Dans la fenêtre ci-dessous :[br][b][color=#ff0000] a)[/color] [/b]Construit le cercle de centre A passant par L[br][br][color=#ff0000][b] b)[/b][/color] Construit le cercle de centre B passant par J
[color=#ff0000][size=150][size=200]II. Triangles [br][/size][/size][/color][br]Poursuivons avec les triangles.
[color=#ff0000][b]1)[/b][/color] Sur la figure, l'élément 1 désigne...
[color=#ff0000][b]2)[/b][/color] Sur la figure, l'élément 2 désigne...
[color=#ff0000][b]3) [/b][/color]Sur la figure, l'élément 3 désigne...
[color=#ff0000][b]4)[/b][/color] Construction d'un triangle à l'aide de cercle.[br][br]Nous allons reprendre la méthode pour tracer un triangle avec trois mesures données. [br][br]On cherche à construire le triangle AMP tel que AP = 5cm, PM = 4.9cm et PM = 1.4cm[br][img]data:image/png;base64,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[/img]
Dans la fenêtre ci-dessous :[br][br]Le côté [AP] a déjà été tracé, grâce à l'outil "segment".[br][br] Pour trouvé le point M [br] [b][color=#ff0000]a)[/color][/b] Trace le cercle de centre A avec pou rayon la longueur AP, grâce à l'outil "[img]data:image/png;base64,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[/img]"[br] [b][color=#ff0000]b)[/color][/b] Trace le cercle de centre P avec pour rayon la longueur MP. grâce à l'outil "[img]data:image/png;base64,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[/img]"[br][br] [b][color=#ff0000]c)[/color][/b] Place le point M.[br][br] [b][color=#ff0000]d)[/color][/b] Finis de tracer les deux autres côtés du triangle AMP.
[color=#ff0000][b]5)[/b][/color] Construction d'un triangle rectangle à l'aide de perpendiculaire.[br][br]Nous allons reprendre la méthode pour tracer un triangle avec trois mesures données. [br][br]On cherche à construire le triangle ABC rectangle en A tel que AB = 12cm et AC = 5cm[br][img]https://encrypted-tbn0.gstatic.com/images?q=tbn:ANd9GcSAK6aX_3ie7mXvrJDw-zaTxdJUdHDdeNb9Rw&s[/img]
Dans la fenêtre ci-dessous :[br][br]Le côté [AC] a déjà été tracé, grâce à l'outils "segment"[br] [b][color=#ff0000]a)[/color][/b] Pour tracer l'angle droite, trace la droite perpendiculaire à AC passant par A, grâce à l'outil "[img]data:image/png;base64,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[/img]"[br] [b][color=#ff0000]b)[/color][/b] Place le point B à 12 cm de A, grâce à l'outil "[img]data:image/png;base64,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[/img]"[br][br] [color=#ff0000][b]c[/b][/color][b][color=#ff0000])[/color][/b] Finis de tracer les deux autres côtés du triangle ABC.
[size=100][size=200][color=#ff0000]III. Les quadrilatères[/color][br][/size][/size][br]Finissons avec des quadrilatères
[color=#ff0000][b]1)[/b] [/color]Rappelle les définitions...[b][color=#ff0000] [br] a) [/color][/b]du rectangle
Un rectangle est un quadrilatère qui a quatre angles droits.
[color=#ff0000][b]b)[/b][/color] du losange.[br]
Un losange est un quadrilatère qui a quatre côtés de même longueur.
[b][color=#ff0000] c)[/color][/b] du carré.
Un carré est un quadrilatère qui a 4 côtés de même longueur.
[color=#ff0000][b]2)[/b][/color] Dans la fenêtre ci-dessous :[br] [b][color=#ff0000]a)[/color][/b] Construit à l'aide des outils disponible le rectangle EFGH.[br][br][img]https://diy7ta1tt6jst.cloudfront.net/prod/okulus/4b1e98be-b4f4-4114-8518-5780494268c9_w589h294[/img][br] [color=#ff0000][b]b)[/b][/color] Essaye de faire bouger les points avec l'outil "[img]data:image/png;base64,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[/img]". Si la figure n'est plus un rectangle, recommence la question a). [br][br]
[color=#ff0000][b]3)[/b][/color] Dans la fenêtre ci-dessous :[br] [b][color=#ff0000]a)[/color][/b] Construis à l'aide des outils disponible le rectangle EFGH.[br][br][img]data:image/png;base64,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[/img][br] [color=#ff0000][b]b)[/b][/color] Essaye de faire bouger les points avec l'outil "[img]data:image/png;base64,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[/img]". Si la figure n'est plus un losange, recommence la question a). [br]
[size=100][size=200][color=#ff0000]IV. Pour s'amusé un peu. [/color][br][/size][/size][br][b][color=#ff0000]a)[/color][/b] Trace le cercle de centre O qui passe par A.[br][b][color=#ff0000]b)[/color][/b] Trace le cercle de centre A qui passe par O.[br][b][color=#ff0000]c)[/color][/b] À l'aide du bouton "[img]data:image/png;base64,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[/img]", placer les points B et C, intersection des deux cercles.[br][b][color=#ff0000]d)[/color][/b] Trace le cercle de centre B passant par O et le cercle de centre C passant par O. Placer les points D et E sur le cercle de centre O, les deux nouveaux points d'intersection de cercles.[br][b][color=#ff0000]e)[/color][/b] Continue jusqu'à obtenir une rosace, retire les noms des points, retire le cercle de centre O, puis colorie les cercles.[br][b][color=#ff0000]f)[/color][/b] Appelle ton professeur pour lui montrer ton travail.