Quiz — devoir de controle n_1 2012-2013

Question 1 sur 10 20:00

[{"id":7955,"question":"Quelle est la solution de l'équation 3x + 5 = 20 ?","option_a":"x = 5","option_b":"x = 15","option_c":"x = -5","option_d":"x = 7","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 3x + 5 = 20, on soustrait 5 des deux côtés (3x = 15), puis on divise par 3 (x = 5).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"x = 5\", \"b\": \"x = 15\", \"c\": \"x = -5\", \"d\": \"x = 7\"}}","_debug_options_count":4},{"id":7956,"question":"Dans un triangle rectangle, le carré de l'hypoténuse est égal à la somme des carrés des deux autres côtés.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"C'est l'énoncé du théorème de Pythagore, une propriété fondamentale en géométrie.","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":7957,"question":"Quelle est l'aire d'un rectangle de longueur 8 cm et de largeur 5 cm ?","option_a":"40 cm²","option_b":"13 cm²","option_c":"30 cm²","option_d":"26 cm²","option_e":"","option_f":"","bonne_reponse":"a","explication":"L'aire d'un rectangle se calcule avec la formule longueur × largeur, soit 8 × 5 = 40 cm².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"40 cm²\", \"b\": \"13 cm²\", \"c\": \"30 cm²\", \"d\": \"26 cm²\"}}","_debug_options_count":4},{"id":7958,"question":"Si deux angles d'un triangle mesurent 45° et 60°, quelle est la mesure du troisième angle ?","option_a":"75°","option_b":"105°","option_c":"60°","option_d":"45°","option_e":"","option_f":"","bonne_reponse":"b","explication":"La somme des angles d'un triangle est 180°. Le troisième angle mesure donc 180° - 45° - 60° = 75°.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"75°\", \"b\": \"105°\", \"c\": \"60°\", \"d\": \"45°\"}}","_debug_options_count":4},{"id":7959,"question":"Le théorème de Thalès s'applique uniquement aux triangles isocèles.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Le théorème de Thalès s'applique à tous les triangles, pas seulement aux triangles isocèles.","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":7960,"question":"Quelle est la solution de l'équation 2(x - 3) = 4x + 6 ?","option_a":"x = -6","option_b":"x = 6","option_c":"x = -3","option_d":"x = 3","option_e":"","option_f":"","bonne_reponse":"a","explication":"En développant, on obtient 2x - 6 = 4x + 6. On soustrait 2x (2x = -12), puis on divise par 2 (x = -6).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"x = -6\", \"b\": \"x = 6\", \"c\": \"x = -3\", \"d\": \"x = 3\"}}","_debug_options_count":4},{"id":7961,"question":"Un triangle avec des côtés de 3 cm, 4 cm et 5 cm est-il rectangle ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"3² + 4² = 9 + 16 = 25 = 5². D'après le théorème de Pythagore, ce triangle est rectangle.","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":7962,"question":"Quelle est la formule pour calculer le périmètre d'un cercle de rayon r ?","option_a":"P = 2πr","option_b":"P = πr²","option_c":"P = 4πr","option_d":"P = πd","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le périmètre d'un cercle se calcule avec la formule P = 2πr, où r est le rayon.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"P = 2πr\", \"b\": \"P = πr²\", \"c\": \"P = 4πr\", \"d\": \"P = πd\"}}","_debug_options_count":4},{"id":7963,"question":"Si un angle mesure 120°, quel est son angle supplémentaire ?","option_a":"60°","option_b":"180°","option_c":"30°","option_d":"90°","option_e":"","option_f":"","bonne_reponse":"a","explication":"Deux angles sont supplémentaires si leur somme est 180°. L'angle supplémentaire de 120° est donc 180° - 120° = 60°.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"60°\", \"b\": \"180°\", \"c\": \"30°\", \"d\": \"90°\"}}","_debug_options_count":4},{"id":7964,"question":"Quelle est la solution de l'inéquation 5x - 7 \u003E 3x + 1 ?","option_a":"x \u003E 4","option_b":"x \u003C 4","option_c":"x \u003E -4","option_d":"x \u003C -4","option_e":"","option_f":"","bonne_reponse":"a","explication":"En soustrayant 3x et en ajoutant 7, on obtient 2x \u003E 8, soit x \u003E 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"x \u003E 4\", \"b\": \"x \u003C 4\", \"c\": \"x \u003E -4\", \"d\": \"x \u003C -4\"}}","_debug_options_count":4}]