Repérage sur une sphère
L’espace - Mathématiques 3e
Exercice 1 : Lire les coordonnées géographique d'une ville sur terre à partir des parallèles et méridiens
Sur le schéma ci-dessous, le point D symbolise la ville d'Yamagata (Japon).
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On pourra faire pivoter la figure en cliquant dessus.
Légende
- Méridien d'origine Greenwich 0°
- Méridiens (espacés de 20°)
- Équateur 0°
- Parallèles (espacés de 20°)
- N : Pôle nord
- S : Pôle sud
- D : Ville d'Yamagata
Donner les coordonnées géographique de la ville d'Yamagata (Japon).
Par exemple:
Par exemple:
- Pour la ville de Praga Południe (Pologne) on donnera une réponse de la forme \(\left(52° N; 21° E\right)\)
- Pour la ville de Foggia (Italie) on donnera une réponse de la forme \(\left(41° N; 16° E\right)\)
Exercice 2 : Calculer la longueur de l'équateur ou d'un méridien à partir du rayon/diamètre de la planète
Sur une planète de rayon \( 3\:500\:\text{km} \), on définit les méridiens de la même manière que sur Terre.
Quelle est la longueur d'un méridien de cette planète ?
On arrondira le résultat au kilomètre près, suivi de l'unité qui convient.
On arrondira le résultat au kilomètre près, suivi de l'unité qui convient.
Exercice 3 : Lire latitude ou longitude d'une ville sur terre à partir des angles
Sur le schéma ci-dessous, le point D symbolise la ville de Chicago (États-Unis).
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On pourra faire pivoter la figure en cliquant dessus.
Légende
- Méridien d'origine Greenwich 0°
- Méridien du point D
- Équateur 0°
- Parallèle du point D
- N : Pôle nord
- S : Pôle sud
- C : Centre de la terre
- D : Ville de Chicago
Sachant que \( \widehat{ECD} = 42 ° \), \( \widehat{DCN} = 48 ° \), \( \widehat{ABD} = 88 ° \) et \( \widehat{SCE} = 90 ° \), donner la latitude de la ville de Chicago (États-Unis).
Exemples de format de réponses attendu : \(80°N\), \(60°S\), \(80°E\) ou \(20°O\)
Exemples de format de réponses attendu : \(80°N\), \(60°S\), \(80°E\) ou \(20°O\)
Exercice 4 : Calculer le rayon d'un parallèle
On assimile la Terre à une sphère de rayon \( 6\:400\:\text{km} \).
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On pourra faire pivoter la figure en cliquant dessus.
Légende
- Équateur 0°
- Parallèle passant par D
- N : Pôle nord
- S : Pôle sud
- D : Ville de Pervoural’sk
Déterminer le rayon du parallèle passant à Pervoural’sk de coordonnées (57° N, 60° E).
On arrondira donnera un résultat arrondi au \( km \).
On arrondira donnera un résultat arrondi au \( km \).
Exercice 5 : Lire latitude ou longitude d'une ville sur terre à partir des parallèles et méridiens
Sur le schéma ci-dessous, le point D symbolise la ville de Sendai (Japon).
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On pourra faire pivoter la figure en cliquant dessus.
Légende
- Méridien d'origine Greenwich 0°
- Méridiens (espacés de 20°)
- Équateur 0°
- Parallèles (espacés de 20°)
- N : Pôle nord
- S : Pôle sud
- D : Ville de Sendai
Donner la longitude de la ville de Sendai (Japon).
Exemples de format de réponses attendu : \(80°N\), \(60°S\), \(80°E\) ou \(20°O\)
Exemples de format de réponses attendu : \(80°N\), \(60°S\), \(80°E\) ou \(20°O\)
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Nos exercices sont conformes aux programmes de l'Éducation Nationale de la 6e à la Terminale. Grâce à Kwyk, les élèves s'entraînent sur du calcul mental, des exercices d'arithmétique et de géométrie, des problèmes et des exercices d'application, des exercices d'algorithmique et de python, des annales du brevet des collèges et du baccalauréat. Nos exercices sont proposés sous forme de réponse libre et/ou de QCM.
Afin d'assurer un entraînement efficace et pertinent aux élèves, chaque exercice est généré avec des valeurs aléatoires. Les élèves peuvent s'entraîner grâce aux devoirs donnés sur Kwyk par leurs professeurs et aux devoirs générés par notre outil utilisant l'IA mais aussi grâce aux différents modules de travail en autonomie mis à disposition sur leur espace personnel. Pour les niveaux du collège, les élèves ont également accès à des cours constitués d'une partie théorique et d'une partie pratique.
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