Périmètres et longueurs - 6e

Longueur et distance

Exercice 1 : Convertir des longueurs entières ou décimales (du mm au km)

Convertir \(0,26\) \(km\) en \(cm\).

Exercice 2 : Convertir des longueurs entières ou décimales (du mm au km)

Convertir \( 200\:000\:mm \) en \( dam \).
On écrira la réponse sous la forme d'un entier ou d'un nombre décimal non entier.

Exercice 3 : Problème - Déterminer si un point est le milieu d'un segment, données : distances entre points du segment

Parmi les figures où T, V, W, X et Y sont cinq points alignés, trouvez celles où W est le milieu du segment \([TY]\).

A.

{"init": {"range": [[0, 4.32], [-1.02, 1.02]], "scale": [181.81818181818184, 45.45454545454546]}, "circle": [[[0.0, 0.0], 0.02, {}], [[0.796343692870201, 0.0], 0.02, {}], [[1.653016453382084, 0.0], 0.02, {}], [[2.2291590493601463, 0.0], 0.02, {}], [[3.3, 0.0], 0.02, {}]], "label": [[[0.0, 0.0], "T", "above", {}], [[0.796343692870201, 0.0], "V", "above", {}], [[1.653016453382084, 0.0], "W", "above", {}], [[2.2291590493601463, 0.0], "X", "above", {}], [[3.3, 0.0], "Y", "above", {}], [[0.3981718464351005, -0.6], "26,4 cm"], [[1.2246800731261425, -0.6], "28,4 cm"], [[1.941087751371115, -0.6], "19,1 cm"], [[2.764579524680073, -0.6], "35,5 cm"]], "line": [[[0.0, 0.0], [0.796343692870201, 0.0], {"subtype": "segment"}], [[0.796343692870201, 0.0], [1.653016453382084, 0.0], {"subtype": "segment"}], [[1.653016453382084, 0.0], [2.2291590493601463, 0.0], {"subtype": "segment"}], [[2.2291590493601463, 0.0], [3.3, 0.0], {"subtype": "segment"}]]}
B.

{"init": {"range": [[0, 4.32], [-1.02, 1.02]], "scale": [181.81818181818184, 45.45454545454546]}, "circle": [[[0.0, 0.0], 0.02, {}], [[0.8784872298624753, 0.0], 0.02, {}], [[1.65, 0.0], 0.02, {}], [[2.25943025540275, 0.0], 0.02, {}], [[3.3, 0.0], 0.02, {}]], "label": [[[0.0, 0.0], "T", "above", {}], [[0.8784872298624753, 0.0], "V", "above", {}], [[1.65, 0.0], "W", "above", {}], [[2.25943025540275, 0.0], "X", "above", {}], [[3.3, 0.0], "Y", "above", {}], [[0.43924361493123765, -0.6], "27,1 m"], [[1.2642436149312375, -0.6], "23,8 m"], [[1.954715127701375, -0.6], "18,8 m"], [[2.779715127701375, -0.6], "32,1 m"]], "line": [[[0.0, 0.0], [0.8784872298624753, 0.0], {"subtype": "segment"}], [[0.8784872298624753, 0.0], [1.65, 0.0], {"subtype": "segment"}], [[1.65, 0.0], [2.25943025540275, 0.0], {"subtype": "segment"}], [[2.25943025540275, 0.0], [3.3, 0.0], {"subtype": "segment"}]]}
C.

{"init": {"range": [[0, 4.32], [-1.02, 1.02]], "scale": [181.81818181818184, 45.45454545454546]}, "circle": [[[0.0, 0.0], 0.02, {}], [[0.8179184549356223, 0.0], 0.02, {}], [[1.6535407725321887, 0.0], 0.02, {}], [[2.492703862660944, 0.0], 0.02, {}], [[3.3, 0.0], 0.02, {}]], "label": [[[0.0, 0.0], "T", "above", {}], [[0.8179184549356223, 0.0], "V", "above", {}], [[1.6535407725321887, 0.0], "W", "above", {}], [[2.492703862660944, 0.0], "X", "above", {}], [[3.3, 0.0], "Y", "above", {}], [[0.40895922746781116, -0.6], "23,1 cm"], [[1.2357296137339056, -0.6], "23,6 cm"], [[2.0731223175965665, -0.6], "23,7 cm"], [[2.896351931330472, -0.6], "22,8 cm"]], "line": [[[0.0, 0.0], [0.8179184549356223, 0.0], {"subtype": "segment"}], [[0.8179184549356223, 0.0], [1.6535407725321887, 0.0], {"subtype": "segment"}], [[1.6535407725321887, 0.0], [2.492703862660944, 0.0], {"subtype": "segment"}], [[2.492703862660944, 0.0], [3.3, 0.0], {"subtype": "segment"}]]}
D.

{"init": {"range": [[0, 4.32], [-1.02, 1.02]], "scale": [181.81818181818184, 45.45454545454546]}, "circle": [[[0.0, 0.0], 0.02, {}], [[0.7595988538681949, 0.0], 0.02, {}], [[1.6484240687679084, 0.0], 0.02, {}], [[2.6853868194842407, 0.0], 0.02, {}], [[3.3, 0.0], 0.02, {}]], "label": [[[0.0, 0.0], "T", "above", {}], [[0.7595988538681949, 0.0], "V", "above", {}], [[1.6484240687679084, 0.0], "W", "above", {}], [[2.6853868194842407, 0.0], "X", "above", {}], [[3.3, 0.0], "Y", "above", {}], [[0.37979942693409746, -0.6], "24,1 m"], [[1.2040114613180517, -0.6], "28,2 m"], [[2.1669054441260744, -0.6], "32,9 m"], [[2.9926934097421203, -0.6], "19,5 m"]], "line": [[[0.0, 0.0], [0.7595988538681949, 0.0], {"subtype": "segment"}], [[0.7595988538681949, 0.0], [1.6484240687679084, 0.0], {"subtype": "segment"}], [[1.6484240687679084, 0.0], [2.6853868194842407, 0.0], {"subtype": "segment"}], [[2.6853868194842407, 0.0], [3.3, 0.0], {"subtype": "segment"}]]}
E.

{"init": {"range": [[0, 4.32], [-1.02, 1.02]], "scale": [181.81818181818184, 45.45454545454546]}, "circle": [[[0.0, 0.0], 0.02, {}], [[0.8009063444108762, 0.0], 0.02, {}], [[1.6483383685800606, 0.0], 0.02, {}], [[2.5323262839879153, 0.0], 0.02, {}], [[3.3, 0.0], 0.02, {}]], "label": [[[0.0, 0.0], "T", "above", {}], [[0.8009063444108762, 0.0], "V", "above", {}], [[1.6483383685800606, 0.0], "W", "above", {}], [[2.5323262839879153, 0.0], "X", "above", {}], [[3.3, 0.0], "Y", "above", {}], [[0.4004531722054381, -0.6], "24,1 m"], [[1.2246223564954684, -0.6], "25,5 m"], [[2.090332326283988, -0.6], "26,6 m"], [[2.9161631419939575, -0.6], "23,1 m"]], "line": [[[0.0, 0.0], [0.8009063444108762, 0.0], {"subtype": "segment"}], [[0.8009063444108762, 0.0], [1.6483383685800606, 0.0], {"subtype": "segment"}], [[1.6483383685800606, 0.0], [2.5323262839879153, 0.0], {"subtype": "segment"}], [[2.5323262839879153, 0.0], [3.3, 0.0], {"subtype": "segment"}]]}

Exercice 4 : Décomposer une longueur (du mm au km) en utilisant les unités multiples du mètre

Compléter la proposition suivante avec l'unité de longueur qui convient.
Exemple : \(5\mbox{,}23\:\text{m} = 5\:\text{m} + 2\:\text{dm} + 3\:\text{cm}\)
Remarque : La décomposition se fait de la plus grande unité à la plus petite.

Exercice 5 : Additionner 2 longueurs entières dans 2 unités différentes (du cm au dam), résultat en mm

Combien fait la somme de 34 cm et 35 m en mm ?

Revenir au choix du niveau