T.P.1-Premiers pas avec Géogébra

Partie 1 : Les points

1) Dans la fenêtre ci-dessous, créer un point A, puis un point B.[br]2) En cliquant sur [img]data:image/png;base64,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[/img],puis en maintenant le bouton gauche de la souris sur le point A, déplacer le point A.[br]3) En effectuant un clic droit sur le point A, renommer le et appeler le "C".[br]4) Créer un troisième point que tu nommeras F.

Partie 2 : Segment, droite et demi-droite

5) Dans la fenêtre ci-dessous, grâce aux menu que tu obtiens en cliquant sur l'icône [img]data:image/png;base64,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[/img] ,[br]tracer la droite (DE), le segment [DF] et la demi-droite [FE).

Partie 3 : Segment de longueur donnée, longueur et milieu

6) Dans la fenêtre ci-dessous, trouver l'icône [img]data:image/png;base64,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[/img], puis tracer un segment [MN] de longueur 1.5 [br]( surtout ne pas écrire "cm")[br]7) Trouver l'icône [img]data:image/png;base64,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[/img], puis l’utiliser pour tracer O, le milieu de [MN][br]8)Trouver l'icône [img]data:image/png;base64,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[/img] puis l’utiliser pour mesurer [MO] et [NO]

Partie 4 : Exercice d'application 1

8) Dans la fenêtre ci-dessous, placer trois points A, D et E non alignés[br]9) Tracer (AD), [AE] et [ED)[br]10) Placer B milieu de [AE[b]][br][/b]11) Placer le point F tel que F [math]\in[/math] (AD) et F [math]\notin[/math] [AD)[br]12) Tracer la droite (BF)[br]13) Trouver l’icône [img]data:image/png;base64,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[/img]pour placer le point J, intersection de la droite (BF) et de la demi-droite [ED).[br][br][br]

Partie 5 : Exercice d'aplication 2

14) Dans la fenêtre ci-dessous, créer trois points A,B et C non alignés.[br]15) Tracer les segments [BC] et [AC].[br]16) Placer le milieu I du segment [BC] et le milieu J du segment [AC]. [br]17) Tracer les segments [AI] et [BJ].[br]18) Nommer K le point d'intersection des segments [AI] et [BJ].[br]19) Tracer le segment [AB] et placer son milieu L.[br]20) Tracer enfin le segment [CL].

21) Que remarques-tu?

22) Trouve l'icône [img]data:image/png;base64,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[/img], puis clique sur K et [LC] pour confirmer ton hypothèse