Quiz — Lycée Pilote Sfax - DC 1 2016 (corrigé).pdf

Question 1 sur 10 20:00

[{"id":37430,"question":"Quelle est la solution de l'équation 3x - 5 = 10 ?","option_a":"x = 5","option_b":"x = 15\/3","option_c":"x = 5\/3","option_d":"x = 3","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 3x - 5 = 10, on ajoute 5 aux deux membres (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\/3\", \"c\": \"x = 5\/3\", \"d\": \"x = 3\"}}","_debug_options_count":4},{"id":37431,"question":"Le triangle ABC est rectangle en A. Si AB = 3 cm et AC = 4 cm, alors BC mesure :","option_a":"5 cm","option_b":"7 cm","option_c":"6 cm","option_d":"4 cm","option_e":"","option_f":"","bonne_reponse":"a","explication":"D'après le théorème de Pythagore, BC² = AB² + AC² = 9 + 16 = 25, donc BC = 5 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"5 cm\", \"b\": \"7 cm\", \"c\": \"6 cm\", \"d\": \"4 cm\"}}","_debug_options_count":4},{"id":37432,"question":"La fonction f(x) = 2x + 3 est une fonction affine.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Une fonction affine s'écrit sous la forme f(x) = ax + b, ce qui est le cas ici avec a = 2 et b = 3.","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":37433,"question":"Quelle est la médiane d'une série de notes : 10, 12, 14, 16, 18 ?","option_a":"12","option_b":"14","option_c":"13","option_d":"16","option_e":"","option_f":"","bonne_reponse":"b","explication":"Pour calculer la médiane, on ordonne les valeurs (déjà ordonnées) et on prend la valeur centrale, ici 14.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"12\", \"b\": \"14\", \"c\": \"13\", \"d\": \"16\"}}","_debug_options_count":4},{"id":37434,"question":"L'inéquation 2x + 1 \u003E 5 a pour solution :","option_a":"x \u003E 2","option_b":"x \u003C 2","option_c":"x \u003E 3","option_d":"x \u003C 3","option_e":"","option_f":"","bonne_reponse":"a","explication":"En soustrayant 1 (2x \u003E 4) puis en divisant par 2, on obtient x \u003E 2.","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 2\", \"b\": \"x \u003C 2\", \"c\": \"x \u003E 3\", \"d\": \"x \u003C 3\"}}","_debug_options_count":4},{"id":37435,"question":"Un carré a une aire de 16 cm². Son périmètre est de :","option_a":"8 cm","option_b":"16 cm","option_c":"32 cm","option_d":"64 cm","option_e":"","option_f":"","bonne_reponse":"b","explication":"Si l'aire est 16 cm², le côté mesure 4 cm (car 4² = 16). Le périmètre est donc 4 × 4 = 16 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"8 cm\", \"b\": \"16 cm\", \"c\": \"32 cm\", \"d\": \"64 cm\"}}","_debug_options_count":4},{"id":37436,"question":"La moyenne d'une série de 5 nombres est 10. Si on ajoute le nombre 15, la nouvelle moyenne est :","option_a":"10","option_b":"11","option_c":"12","option_d":"13","option_e":"","option_f":"","bonne_reponse":"b","explication":"La somme initiale est 5 × 10 = 50. Après ajout de 15, la somme devient 65 et la moyenne 65\/6 ≈ 10,83 (arrondi à 11).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"10\", \"b\": \"11\", \"c\": \"12\", \"d\": \"13\"}}","_debug_options_count":4},{"id":37437,"question":"Le point A(2, 3) appartient à la droite d'équation y = 2x - 1.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"En remplaçant x par 2 dans l'équation, on obtient y = 2×2 - 1 = 3, ce qui correspond aux coordonnées de A.","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":37438,"question":"Quelle est la solution de l'inéquation x² - 4x + 3 \u003C 0 ?","option_a":"x ∈ ]1, 3[","option_b":"x ∈ ]-∞, 1[ ∪ ]3, +∞[","option_c":"x ∈ ]-∞, 3[","option_d":"x ∈ ]1, +∞[","option_e":"","option_f":"","bonne_reponse":"a","explication":"Les racines de l'équation x² - 4x + 3 = 0 sont x = 1 et x = 3. Le polynôme est négatif entre ces racines.","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 ∈ ]1, 3[\", \"b\": \"x ∈ ]-∞, 1[ ∪ ]3, +∞[\", \"c\": \"x ∈ ","_debug_options_count":4},{"id":37439,"question":"Un rectangle a une longueur de 8 cm et une largeur de 5 cm. Son aire est de :","option_a":"13 cm²","option_b":"26 cm²","option_c":"40 cm²","option_d":"30 cm²","option_e":"","option_f":"","bonne_reponse":"c","explication":"L'aire d'un rectangle se calcule par longueur × largeur = 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\": \"c\", \"options\": {\"a\": \"13 cm²\", \"b\": \"26 cm²\", \"c\": \"40 cm²\", \"d\": \"30 cm²\"}}","_debug_options_count":4}]