Algorithmique du cycle 4 - 4e

Niveau 2 : variables

Exercice 1 : Déplacement véhicule - Décrémentation multiples de variables (4/5)

Votre véhicule est équipé d'un réservoir contenant 40 litres d'essence, plein au démarrage.

Votre jauge étant toujours cassée, vous vous rendez compte que votre moteur consomme de l'essence aussi lorsqu'il tourne. Modifier l'algorithme suivant pour que la variable représente le niveau d'essence présent sachant que votre véhicule consomme 2 litres lorsqu'il avance d'une case et 1 litre lorsqu'il tourne.

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Exercice 2 : Utiliser Pythagore pour calculer un côté (niv 2)

Soit ABC un triangle rectangle en A. Écrire un algorithme capable de calculer la longueur du segment bleu :

Votre algorithme doit afficher les mêmes résultats pour les exemples suivants :

pour segment n°1 = 21, segment n°2 = 29 on affiche 20.
pour segment n°1 = 25, segment n°2 = 20 on affiche 15.

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Exercice 3 : Utiliser le théorème de Pythagore pour trouver une longeur (niv 3)

Soit ABC un triangle rectangle en A. Ecrire un algorithme capable de calculer la longueur du segment bleu pour les deux cas suivants:
Cas n°1:

Cas n°2:

Votre algorithme doit afficher les mêmes résultats pour les exemples suivants :

pour cas = 1, segment n°1 = 21, segment n°2 = 29 on affiche 20.
pour cas = 1, segment n°1 = 25, segment n°2 = 20 on affiche 15.
pour cas = 2, segment n°1 = 32, segment n°2 = 24 on affiche 40.
pour cas = 2, segment n°1 = 15, segment n°2 = 20 on affiche 25.

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Exercice 4 : Additionner deux nombres (initiation)

Écrire un algorithme capable de calculer la somme de deux nombres.
\[ a + b \]
Votre algorithme doit afficher le même résultat pour l'exemple suivant :

pour:
- a = 2
- b = 2
on affiche « 4 ».

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Exercice 5 : Calcul d'un côté dans une figure de Thales

Compléter le programme suivant permettant de trouver la longueur \( AE \) connaissant \( AB \), \( AC \) et \( AD \) dans la figure de Thales suivante :

Par exemple si l'utilisateur rentre \( AB=10 \), \( AC=18 \) et \( AD=5 \), votre programme doit afficher en sortie la valeur de \( AE \), soit \( 9 \)

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