T.P.3-Problèmes de distances

Partie 1 : Tracer des cercles, méthode 1
1) Dans la fenêtre ci-dessous, créer trois points A, B et C.[br]2) En cliquant sur [img]data:image/png;base64,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[/img] ,tracer le cercle de centre A passant par B.[br]3) Tracer le cercle de centre C passant par A .
Partie 2 : Tracer des cercles, méthode 2
1) En utilisant l'icône [img]data:image/png;base64,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[/img], tracer le cercle de centre D et de rayon 3cm. ([i]Ne pas écrire d'unité dans la fenêtre de dialogue[/i])[br]2) Tracer le cercle de centre E et de rayon DF. ([i]Écrire Segment[D,F] dans la fenêtre de dialogue[/i])[br]3) Tracer le cercle de centre F et de rayon ED.
Partie 3 : Médiatrice d'un segment
1) Dans la fenêtre ci-dessous, tracer un segment [KL][br]2) Trouver l'icône [img]data:image/png;base64,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[/img] puis l'utiliser pour tracer la médiatrice de [KL] et appeler cette droite d.[br]3) Placer un point T appartenant à d et tracer le cercle de centre T passant par K.
4) Le point L appartient -il à ce cercle ?[br]Quelle propriété du cours retrouve-t-on ?
Partie 4 : Exercice d'application 1
1) Dans la fenêtre ci-dessous, placer deux points H et B et tracer la droite (HB).[br]2) Tracer le cercle de centre B passant par H.[br]3) Tracer la médiatrice de [HB]. La nommer d_1[br]4) Placer les points D et L, intersections du cercle de centre B passant par H et de d_1.[br][br][br]
Partie 5 : Exercice d'aplication 2
1) Dans la fenêtre ci-dessous, tracer un segment [AB] de 10cm.[br]2) Placer un point C sur ce segment.[br]3) Placer D le milieu de [AC].[br]4) Placer E le milieu de [CB].[br]5) Tracer le cercle de centre D passant par A.[br]6) Tracer le cercle de centre E passant par B.[br]7) Tracer le cercle de diamètre [CD] et le colorer en noir.[br]8) Tracer le cercle de diamètre [CE] et le colorer en noir.[br]9) Cacher tous les points, sauf le point C et cacher le segment [AB].[br]10) Faire bouger le point C.
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Information: T.P.3-Problèmes de distances