Utiliser les commandes Geogebra

Points, polygones, curseurs, transformations
Entrer successivement les lignes suivantes dans le champ de saisie (copier-coller), puis constater le résultat[br][code](0,3)[/code][br][code]B=(3,0)[/code][br][code]p = Polygone(A,B,(0,0))[/code][br][code]angle= Curseur(0°,360°)[/code][br][code]Rotation(p,angle,B)[/code][br][code]Rotation(Cercle((-4,0),2),angle,(0,0))[/code][code][/code]
Listes
Entrer successivement les lignes suivantes dans le champ de saisie (copier-coller), puis constater le résultat[br][code]Séquence(-4,4,0.5)[br]N = Longueur(l1)[br]points=Séquence((l1(i),0),i,1,N)[br]segments = Séquence(Segment((0,2),points(i)),i,1,N)[br]n = Curseur(1,100,1)[br]l1 = Séquence(-4+8*i/n,i,0,n)[/code]
Rosace
Entrer successivement les lignes suivantes dans le champ de saisie (copier-coller), puis modifier n, faire bouger A, B…[br][br][code]Exécute({"A=(1,1)","B=(-7,2)","C=(3,2)","D=(6,-1)","O=(0,0)"})[/code][br][code]n = Curseur(3,100,1)[br]Séquence(Rotation(Polygone(A,B,C,D),2*Pi*k/n,O),k,0,n)[/code][br]
Frise
Entrer successivement les lignes suivantes dans le champ de saisie (copier-coller), puis modifier n[br][code][/code][code]c = SecteurCirculaire((0,0),(1,0),(0,1))[br]c'= Symétrie(c,(0,0))[br]motif = {c,c'}[br]n = Curseur(0,10,1)[br]Sequence(Translation(motif,2*k*Vecteur((0,0),(1,0))),k,-n,n)[/code]
Pavage
Entrer successivement les lignes suivantes dans le champ de saisie (copier-coller), modifier n et m, dézoomer[br][code]Exécute({"A=(0,2)","B=(1,0)","C=(3,2)","D=(1,3)"})[br]p = Polygone(A,B,C,D)[br]motif = {p,Symétrie(p,MilieuCentre(A,B))}[br]u = Vecteur(A,C)[br]v = Vecteur(B,D)[br]n = Curseur(0,10,1)[br]m = Curseur(0,10,1)[br]Sequence(Sequence(Translation(motif,i*u+j*v),i,-m, m),j,-n,n)[br][/code]
Approximation d'une intégrale par la méthode des rectangles
Entrer successivement les instructions suivantes dans le champ de saisie [br][code]n=Curseur(4,100,1)[br]Exécute({"f(x)=x^2","a=0","b=1"})[br]Si=SommeInférieure(f,a,b,n)[br]Ss=SommeSupérieure(f,a,b,n)[br]Texte(Si+" ≤ I ≤ "+Ss,(0.5,1.5))[br]f(x)=sin(x)[br]b=Pi[br]n=Curseur(2,1000,1)[br][/code]
Statistiques et probabilités
Entrer successivement les instructions suivantes dans le champ de saisie [br][code]n=1000[br]effectif=ChampTexte(n)[br]l1=Séquence(AléaUniforme(0,10),i,1,n)[br]Exécute({"largeurclasse=1","borneinfclasse=-20","bornesupclasse=20"})[br]listeclasses=Séquence(borneinfclasse,bornesupclasse,largeurclasse)[br]Histogramme(listeclasses,l1,true,1/n)[br]largeurclasse=0.1[br]n=5000[br]l1=Séquence(AléaNormale(5,2),i,1,n)[br][/code]
Approximation d'une intégrale par la méthode du point milieu
Entrer successivement les instructions suivantes dans le champ de saisie [br][code]n=Curseur(4,100,1)[br]Exécute({"f(x)=x^2","a=-2","b=2","h=((b-a)/n)"}) [br]lx=Séquence((a+i*h,0),i,0,n)[br]mx=Séquence(MilieuCentre(lx(i),lx(i+1)),i,1,n)[br]my=Séquence((x(mx(i)),f(x(mx(i)))),i,1,n)[br]Exécute({"SetVisibleInView(lx,1,false)","SetPointSize(mx,2)","SetPointSize(my,2)"})[br]vh = Vecteur((h/2,0))[br]r=Sequence(Polygone(mx(i)-vh,mx(i)+vh,my(i)+vh,my(i)-vh),i,1,n)[br]Texte("I ≈ "+(Somme(r)),(0.5,3))[/code]
Liste des commandes Geogebra
[url=https://wiki.geogebra.org/fr/Commandes]https://wiki.geogebra.org/fr/Commandes[br][/url]Accessibles directement en cliquant sur l'icône à droite du champ de saisie[br][br][img]data:image/png;base64,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[/img]

Information: Utiliser les commandes Geogebra