L’espace - 3e

Repérage sur une sphère

Exercice 1 : Calculer la longueur de l'équateur ou d'un méridien à partir du rayon/diamètre de la planète

Sur une planète de diamètre \( 6\:200\:\text{km} \), on définit l'équateur de la même manière que sur Terre.

Quelle est la longueur de l'équateur de cette planète ?
On arrondira le résultat au kilomètre près, suivi de l'unité qui convient.

Exercice 2 : 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 Tangshan (Chine).

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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 Tangshan

Donner la longitude de la ville de Tangshan (Chine).
Exemples de format de réponses attendu : \(80°N\), \(60°S\), \(80°E\) ou \(20°O\)

Exercice 3 : 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 de Tantoyuca (Mexique).

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"PlaneSurface", "path": "Circle_52"}, "Circle_52": {"type": "Path2D", "path": [{"absEllipse": {"center": {"x": 0.0, "y": 0.0}, "startAngle": 0, "endAngle": 6.28318530718, "radius": {"x": 7.445927106677217, "y": 7.445927106677217}}}]}, "PlaneSurface_55": {"position": {"x": 0.0, "y": 39.39231012048832, "z": 0.0}, "rotation": {"x": 1.5707963267948966, "y": 0.0, "z": 0.0, "order": "XYZ"}, "point_render": {"visible": false}, "label_render": {"visible": false}, "line_render": {"visible": true, "color": 8487415, "linewidth": 4}, "surface_render": {"visible": false}, "type": "PlaneSurface", "path": "Circle_54"}, "Circle_54": {"type": "Path2D", "path": [{"absEllipse": {"center": {"x": 0.0, "y": 0.0}, "startAngle": 0, "endAngle": 6.28318530718, "radius": {"x": 7.445927106677217, "y": 7.445927106677217}}}]}, "Point3D_D": {"type": "Point", "position": {"x": 6.527036446661392, "y": 13.680805733026748, "z": -37.01666313593294}, "point_render": {"color": 16711680, "size": 128}, "label_render": {"color": 16711680}}, "Label_for_Point3D_D": {"type": "Label", "position": {"x": 6.527036446661392, "y": 13.680805733026748, "z": -37.01666313593294}, "text": "D", "position_offset": {"x": 0.0, "y": 3.3941125496954276, "z": 3.3941125496954276}, "label_render": {"color": 16711680}}}}

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 Tantoyuca

Donner les coordonnées géographique de la ville de Tantoyuca (Mexique).
Par exemple:

Pour la ville de Midoun (Tunisie) on donnera une réponse de la forme \(\left(34° N; 11° E\right)\)

Pour la ville de Dezhou (Chine) on donnera une réponse de la forme \(\left(37° N; 116° E\right)\)

Exercice 4 : Lire les coordonnées géographiques d'une ville sur terre à partir des angles

Sur le schéma ci-dessous, le point D symbolise la ville de Hāfizābād (Pakistan).

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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 Hāfizābād

Sachant que \( \widehat{ECD} = 32 ° \), \( \widehat{SCE} = 90 ° \), \( \widehat{DCN} = 58 ° \) et \( \widehat{ABD} = 74 ° \), donner les coordonnées géographique de la ville de Hāfizābād (Pakistan).
Par exemple:

Pour la ville de Banda Aceh (Indonésie) on donnera une réponse de la forme \(\left(6° N; 95° E\right)\)

Pour la ville de Caruaru (Brésil) on donnera une réponse de la forme \(\left(8° S; 36° O\right)\)

Exercice 5 : 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 Zagazig (Égypte).

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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 Zagazig

Sachant que \( \widehat{ECD} = 31 ° \), \( \widehat{DCN} = 59 ° \), \( \widehat{ABD} = 32 ° \) et \( \widehat{SCE} = 90 ° \), donner la longitude de la ville de Zagazig (Égypte).
Exemples de format de réponses attendu : \(80°N\), \(60°S\), \(80°E\) ou \(20°O\)

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