Périmètres et longueurs - 6e

Longueur et distance

Exercice 1 : Déterminer la distance entre deux points

Déterminer la distance entre les points D et C

Exercice 2 : Conversion de longueurs (avec décimales)

Convertir \(49\) \(m\) en \(dam\).

Exercice 3 : Reconnaître le milieu d'un segment avec longueurs

Parmi les figures où B, C, D, E et F sont cinq points alignés, trouvez celles où D est le milieu du segment \([BF]\).

A.

{"init": {"range": [[0, 4.32], [-1.02, 1.02]], "scale": [181.81818181818184, 45.45454545454546]}, "circle": [[[0.0, 0.0], 0.02, {}], [[0.8442757009345795, 0.0], 0.02, {}], [[1.65, 0.0], 0.02, {}], [[2.5212616822429905, 0.0], 0.02, {}], [[3.3, 0.0], 0.02, {}]], "label": [[[0.0, 0.0], "B", "above", {}], [[0.8442757009345795, 0.0], "C", "above", {}], [[1.65, 0.0], "D", "above", {}], [[2.5212616822429905, 0.0], "E", "above", {}], [[3.3, 0.0], "F", "above", {}], [[0.42213785046728974, -0.6], "21,9 cm"], [[1.2471378504672896, -0.6], "20,9 cm"], [[2.085630841121495, -0.6], "22,6 cm"], [[2.9106308411214954, -0.6], "20,2 cm"]], "line": [[[0.0, 0.0], [0.8442757009345795, 0.0], {"subtype": "segment"}], [[0.8442757009345795, 0.0], [1.65, 0.0], {"subtype": "segment"}], [[1.65, 0.0], [2.5212616822429905, 0.0], {"subtype": "segment"}], [[2.5212616822429905, 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, {}], [[0.7988372093023255, 0.0], 0.02, {}], [[1.6430232558139533, 0.0], 0.02, {}], [[2.215116279069767, 0.0], 0.02, {}], [[3.3, 0.0], 0.02, {}]], "label": [[[0.0, 0.0], "B", "above", {}], [[0.7988372093023255, 0.0], "C", "above", {}], [[1.6430232558139533, 0.0], "D", "above", {}], [[2.215116279069767, 0.0], "E", "above", {}], [[3.3, 0.0], "F", "above", {}], [[0.39941860465116275, -0.6], "22,9 m"], [[1.2209302325581395, -0.6], "24,2 m"], [[1.92906976744186, -0.6], "16,4 m"], [[2.7575581395348836, -0.6], "31,1 m"]], "line": [[[0.0, 0.0], [0.7988372093023255, 0.0], {"subtype": "segment"}], [[0.7988372093023255, 0.0], [1.6430232558139533, 0.0], {"subtype": "segment"}], [[1.6430232558139533, 0.0], [2.215116279069767, 0.0], {"subtype": "segment"}], [[2.215116279069767, 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, {}], [[0.7931330472103003, 0.0], 0.02, {}], [[1.65, 0.0], 0.02, {}], [[2.5068669527896987, 0.0], 0.02, {}], [[3.3, 0.0], 0.02, {}]], "label": [[[0.0, 0.0], "B", "above", {}], [[0.7931330472103003, 0.0], "C", "above", {}], [[1.65, 0.0], "D", "above", {}], [[2.5068669527896987, 0.0], "E", "above", {}], [[3.3, 0.0], "F", "above", {}], [[0.39656652360515016, -0.6], "22,4 m"], [[1.22156652360515, -0.6], "24,2 m"], [[2.0784334763948493, -0.6], "24,2 m"], [[2.9034334763948495, -0.6], "22,4 m"]], "line": [[[0.0, 0.0], [0.7931330472103003, 0.0], {"subtype": "segment"}], [[0.7931330472103003, 0.0], [1.65, 0.0], {"subtype": "segment"}], [[1.65, 0.0], [2.5068669527896987, 0.0], {"subtype": "segment"}], [[2.5068669527896987, 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, {}], [[0.8963720930232557, 0.0], 0.02, {}], [[1.65153488372093, 0.0], 0.02, {}], [[2.8026976744186043, 0.0], 0.02, {}], [[3.3, 0.0], 0.02, {}]], "label": [[[0.0, 0.0], "B", "above", {}], [[0.8963720930232557, 0.0], "C", "above", {}], [[1.65153488372093, 0.0], "D", "above", {}], [[2.8026976744186043, 0.0], "E", "above", {}], [[3.3, 0.0], "F", "above", {}], [[0.44818604651162786, -0.6], "29,2 cm"], [[1.2739534883720929, -0.6], "24,6 cm"], [[2.227116279069767, -0.6], "37,5 cm"], [[3.051348837209302, -0.6], "16,2 cm"]], "line": [[[0.0, 0.0], [0.8963720930232557, 0.0], {"subtype": "segment"}], [[0.8963720930232557, 0.0], [1.65153488372093, 0.0], {"subtype": "segment"}], [[1.65153488372093, 0.0], [2.8026976744186043, 0.0], {"subtype": "segment"}], [[2.8026976744186043, 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, {}], [[0.825, 0.0], 0.02, {}], [[1.65, 0.0], 0.02, {}], [[2.7730839416058393, 0.0], 0.02, {}], [[3.3, 0.0], 0.02, {}]], "label": [[[0.0, 0.0], "B", "above", {}], [[0.825, 0.0], "C", "above", {}], [[1.65, 0.0], "D", "above", {}], [[2.7730839416058393, 0.0], "E", "above", {}], [[3.3, 0.0], "F", "above", {}], [[0.4125, -0.6], "27,4 cm"], [[1.2374999999999998, -0.6], "27,4 cm"], [[2.2115419708029194, -0.6], "37,3 cm"], [[3.0365419708029195, -0.6], "17,5 cm"]], "line": [[[0.0, 0.0], [0.825, 0.0], {"subtype": "segment"}], [[0.825, 0.0], [1.65, 0.0], {"subtype": "segment"}], [[1.65, 0.0], [2.7730839416058393, 0.0], {"subtype": "segment"}], [[2.7730839416058393, 0.0], [3.3, 0.0], {"subtype": "segment"}]]}

Exercice 4 : Additionner 2 unités différentes (m + dm)

Combien fait la somme de 26 cm et 54 dam en mm ?

Exercice 5 : Reconnaître le milieu de segments avec marqueurs

Q, S, T, V, W et X sont 6 points alignés selon la figure suivante :

Choisissez tous les segments dont S est le milieu :

[QT]
[QX]
[SV]
[SW]
[TV]
[VW]

Revenir au choix du niveau