Quiz — 65082b72d09eb_Magazine n°3 géométrie dans l'espace .pdf

Question 1 sur 10 20:00

[{"id":13293,"question":"Quel solide a toutes ses faces carrées ?","option_a":"Cylindre","option_b":"Cube","option_c":"Pyramide","option_d":"Cône","option_e":"","option_f":"","bonne_reponse":"b","explication":"Un cube possède 6 faces carrées identiques. Les autres solides n'ont pas toutes leurs faces carrées.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Cylindre\", \"b\": \"Cube\", \"c\": \"Pyramide\", \"d\": \"Cône\"}}","_debug_options_count":4},{"id":13294,"question":"La perspective cavalière conserve les angles.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"En perspective cavalière, les angles ne sont pas conservés. Seules les proportions des longueurs sont respectées.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":13295,"question":"Quelle est la formule du volume d'une pyramide ?","option_a":"V = π × r² × h","option_b":"V = (1\/3) × B × h","option_c":"V = L × l × h","option_d":"V = 4\/3 × π × r³","option_e":"","option_f":"","bonne_reponse":"b","explication":"Le volume d'une pyramide est donné par V = (1\/3) × B × h, où B est l'aire de la base et h la hauteur.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"V = π × r² × h\", \"b\": \"V = (1\/3) × B × h\", \"c\": \"V = L × l","_debug_options_count":4},{"id":13296,"question":"Une section plane d'un cube par un plan parallèle à une face est toujours un carré.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Une section plane d'un cube parallèle à une face est un carré, mais si le plan n'est pas parallèle, la section peut être un rectangle ou un autre polygone.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":13297,"question":"Quel est le volume d'un cylindre de rayon 3 cm et de hauteur 5 cm ?","option_a":"45π cm³","option_b":"15π cm³","option_c":"9π cm³","option_d":"30π cm³","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le volume est calculé par V = π × r² × h = π × 3² × 5 = 45π cm³.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"45π cm³\", \"b\": \"15π cm³\", \"c\": \"9π cm³\", \"d\": \"30π cm³\"}}","_debug_options_count":4},{"id":13298,"question":"La sphère est le seul solide de révolution.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Plusieurs solides peuvent être obtenus par révolution (cylindre, cône, tore), mais la sphère est le seul solide de révolution dont toutes les sections planes sont des cercles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":13299,"question":"Quelle est l'aire latérale d'un prisme droit à base triangulaire équilatérale de côté 4 cm et de hauteur 6 cm ?","option_a":"24 cm²","option_b":"72 cm²","option_c":"48 cm²","option_d":"36 cm²","option_e":"","option_f":"","bonne_reponse":"c","explication":"L'aire latérale est le périmètre de la base (4 + 4 + 4 = 12 cm) multiplié par la hauteur (12 × 6 = 72 cm²).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"24 cm²\", \"b\": \"72 cm²\", \"c\": \"48 cm²\", \"d\": \"36 cm²\"}}","_debug_options_count":4},{"id":13300,"question":"Un plan qui coupe un cône parallèlement à sa base donne une section en forme de cercle.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Un plan parallèle à la base d'un cône donne une section en forme de cercle. C'est une propriété fondamentale des sections coniques.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":13301,"question":"Quel solide a une seule face courbe ?","option_a":"Cube","option_b":"Cylindre","option_c":"Pyramide","option_d":"Prisme","option_e":"","option_f":"","bonne_reponse":"b","explication":"Le cylindre possède deux faces planes (bases) et une face courbe (surface latérale).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Cube\", \"b\": \"Cylindre\", \"c\": \"Pyramide\", \"d\": \"Prisme\"}}","_debug_options_count":4},{"id":13302,"question":"La formule du volume d'un prisme est V = B × h, où B est l'aire de la base.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"La formule est correcte : le volume d'un prisme est bien V = B × h, où B est l'aire de la base et h la hauteur.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4}]