Solides - 6e

Autres solides usuels

Exercice 1 : Nommer des solides à partir de leur représentation 3D

Nommer les solides suivants:

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{"options": {"render": {"sprite_scale": 0.02, "label_fontsize": 240}, "size": {"width": 350, "height": 350}, "materials_options": {"surface": {"color": 6227124}, "solid_line": {"color": 6227124, "linewidth": 2}, "hidden_solid_line": {"color": 6227124, "linewidth": 2}, "dashed_line": {"color": 6227124, "linewidth": 2}}}, "data": {"Cone_1": {"position": {"x": 0.0, "y": -20.0, "z": 0.0}, "rotation": {"x": -1.57079632679, "y": 0.0, "z": 0.0, "order": "XYZ"}, "type": "GenericCone", "path": "Polygon_0", "apex": {"x": 0.0, "y": 0.0, "z": 40.0}, "point_render": {"visible": false}}, "Polygon_0": {"type": "Path2D", "path": [{"moveTo": {"x": -20.0, "y": -20.0}}, {"lineTo": {"x": 20.0, "y": -20.0}}, {"lineTo": {"x": 20.0, "y": 20.0}}, {"lineTo": {"x": -20.0, "y": 20.0}}]}}}

{"options": {"render": {"sprite_scale": 0.02, "label_fontsize": 240}, "size": {"width": 350, "height": 350}, "materials_options": {"surface": {"color": 16744448}, "solid_line": {"color": 16744448, "linewidth": 2}, "hidden_solid_line": {"color": 16744448, "linewidth": 2}, "dashed_line": {"color": 16744448, "linewidth": 2}}}, "data": {"Cone_1": {"position": {"x": 0.0, "y": -20.0, "z": 0.0}, "rotation": {"x": -1.57079632679, "y": 0.0, "z": 0.0, "order": "XYZ"}, "type": "GenericCone", "path": "Circle_0", "apex": {"x": 0.0, "y": 0.0, "z": 40.0}, "point_render": {"visible": false}}, "Circle_0": {"type": "Path2D", "path": [{"absEllipse": {"center": {"x": 0.0, "y": 0.0}, "startAngle": 0, "endAngle": 6.28318530718, "radius": {"x": 20.0, "y": 20.0}}}]}}}

Exercice 2 : Nommer des solides à partir de leur représentation 3D vu de face et du dessus

Nommer les solides suivants à l'aide de leur représentation 3D vue de face et du dessus.

{"options": {"render": {"sprite_scale": 0.02, "label_fontsize": 240}, "size": {"width": 350, "height": 350}, "camera": {"starting_position": {"x": 0, "y": 0, "z": 300}, "controls": null}, "materials_options": {"surface": {"color": 16744448}, "solid_line": {"color": 16744448, "linewidth": 2}, "hidden_solid_line": {"color": 16744448, "linewidth": 2}, "dashed_line": {"color": 16744448, "linewidth": 2}}}, "data": {"Cylinder_1": {"position": {"x": 0.0, "y": -20.0, "z": 0.0}, "rotation": {"x": -1.57079632679, "y": 0.0, "z": 0.0, "order": "XYZ"}, "type": "GenericRightCylinder", "path": "Triangle_0", "amount": 30, "point_render": {"visible": false}}, "Triangle_0": {"type": "Path2D", "path": [{"moveTo": {"x": -20.0, "y": -10.0}}, {"lineTo": {"x": 20.0, "y": -10.0}}, {"lineTo": {"x": 0.0, "y": 20.0}}]}}}

Vue de face

{"options": {"render": {"sprite_scale": 0.02, "label_fontsize": 240}, "size": {"width": 350, "height": 350}, "camera": {"starting_position": {"x": 0, "y": 300, "z": 0}, "controls": null}, "materials_options": {"surface": {"color": 16744448}, "solid_line": {"color": 16744448, "linewidth": 2}, "hidden_solid_line": {"color": 16744448, "linewidth": 2}, "dashed_line": {"color": 16744448, "linewidth": 2}}}, "data": {"Cylinder_1": {"position": {"x": 0.0, "y": -20.0, "z": 0.0}, "rotation": {"x": -1.57079632679, "y": 0.0, "z": 0.0, "order": "XYZ"}, "type": "GenericRightCylinder", "path": "Triangle_0", "amount": 30, "point_render": {"visible": false}}, "Triangle_0": {"type": "Path2D", "path": [{"moveTo": {"x": -20.0, "y": -10.0}}, {"lineTo": {"x": 20.0, "y": -10.0}}, {"lineTo": {"x": 0.0, "y": 20.0}}]}}}

Vue du dessus

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Vue de face

{"options": {"render": {"sprite_scale": 0.02, "label_fontsize": 240}, "size": {"width": 350, "height": 350}, "camera": {"starting_position": {"x": 0, "y": 300, "z": 0}, "controls": null}, "materials_options": {"surface": {"color": 13369497}, "solid_line": {"color": 13369497, "linewidth": 2}, "hidden_solid_line": {"color": 13369497, "linewidth": 2}, "dashed_line": {"color": 13369497, "linewidth": 2}}}, "data": {"Sphere_0": {"position": {"x": 0.0, "y": 0.0, "z": 0.0}, "rotation": {"x": 0.0, "y": 0.0, "z": 0.0, "order": "XYZ"}, "type": "SpherePortion", "radius": 28}}}

Vue du dessus

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Vue de face

{"options": {"render": {"sprite_scale": 0.02, "label_fontsize": 240}, "size": {"width": 350, "height": 350}, "camera": {"starting_position": {"x": 0, "y": 300, "z": 0}, "controls": null}, "materials_options": {"surface": {"color": 6227124}, "solid_line": {"color": 6227124, "linewidth": 2}, "hidden_solid_line": {"color": 6227124, "linewidth": 2}, "dashed_line": {"color": 6227124, "linewidth": 2}}}, "data": {"Cuboid_0": {"position": {"x": 0.0, "y": 0.0, "z": 0.0}, "rotation": {"x": 0.0, "y": 0.0, "z": 0.0, "order": "XYZ"}, "type": "Cuboid", "lx": 40, "ly": 40, "lz": 40, "point_render": {"visible": false}}}}

Vue du dessus

Exercice 3 : Caractéristiques du cylindre/cône/pyramide

On considère le solide à base(s) régulière(s) ci-dessous :

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Quelle est sa nature ?

Combien ce solide a-t-il de bases ?

Quelle est la nature de ses bases ?

Quelle est la nature de ses faces latérales ?

Combien de sommets possède ce solide ?

Exercice 4 : Reconnaître trois solides à partir de leur patron

Nommer les solides obtenus à l'aide des patrons suivants:

{"init": {"range": [[-2.069, 14.0], [-5.138014260194639, 9.13801426019464]], "scale": [30, 30]}, "line": [[[0.0, 0.0], [13.0, 0.0], {"subtype": "segment"}], [[13.0, 0.0], [13.0, 4.0], {"subtype": "segment"}], [[0.0, 4.0], [13.0, 4.0], {"subtype": "segment"}], [[0.0, 4.0], [0.0, 0.0], {"subtype": "segment"}]], "circle": [[[1.0, -2.0690142601946393], "2.069", {}], [[9.0, 6.069014260194639], "2.069", {}]]}

{"init": {"range": [[-1.3772339681189252, 1.641357667669205], [-3.0128028959440765, 1.0]], "scale": [120, 120]}, "arc": [[[0.0, 0.0], [1.0, 1.0], 200.53522829578813, 23.881722737651558, true, {"stroke": "#000000", "fill": ""}]], "circle": [[[0.13206184977513985, -1.5035070780500115], 0.5092958178940651, {}]]}

{"init": {"range": [[-2.848076211353316, 5.848076211353316], [-3.799038105676658, 4.0]], "scale": [40, 40]}, "line": [[[0.0, 0.0], [3.0, 0.0], {"subtype": "segment"}], [[3.0, 0.0], [1.5, -2.598076211353316], {"subtype": "segment"}], [[1.5, -2.598076211353316], [0.0, 0.0], {"subtype": "segment"}], [[0.0, 0.0], [1.5, 3.0], {"subtype": "segment"}], [[1.5, 3.0], [3.0, 0.0], {"subtype": "segment"}], [[3.0, 0.0], [4.848076211353316, -2.799038105676658], {"subtype": "segment"}], [[4.848076211353316, -2.799038105676658], [1.5, -2.598076211353316], {"subtype": "segment"}], [[1.5, -2.598076211353316], [-1.848076211353316, -2.799038105676658], {"subtype": "segment"}], [[-1.848076211353316, -2.799038105676658], [0.0, 0.0], {"subtype": "segment"}]]}

Exercice 5 : Nommer des solides à partir de photos d'objets réels

Nommer les solides constituant majoritairement la forme de l'objet présent sur les photos suivantes :

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