Quiz — Lycée Pilote Sousse - DC 2 2020 (+Corrigé).pdf

Question 1 sur 10 20:00

[{"id":23344,"question":"Quelle est la solution de l’équation 3x - 5 = 2x + 7 ?","option_a":"x = -12","option_b":"x = 12","option_c":"x = 2","option_d":"x = -2","option_e":"","option_f":"","bonne_reponse":"b","explication":"Résolvez l’équation en isolant x : 3x - 2x = 7 + 5 → x = 12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"x = -12\", \"b\": \"x = 12\", \"c\": \"x = 2\", \"d\": \"x = -2\"}}","_debug_options_count":4},{"id":23345,"question":"La fonction f(x) = 2x² - 3x + 1 est-elle une fonction affine ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Une fonction affine est de la forme f(x) = ax + b. Ici, le terme x² indique qu’il s’agit d’une fonction polynôme du 2nd degré.","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":23346,"question":"Quel est le coefficient directeur de la droite d’équation y = -4x + 7 ?","option_a":"7","option_b":"-4","option_c":"4","option_d":"-7","option_e":"","option_f":"","bonne_reponse":"b","explication":"Dans l’équation y = ax + b, a représente le coefficient directeur. Ici, a = -4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"7\", \"b\": \"-4\", \"c\": \"4\", \"d\": \"-7\"}}","_debug_options_count":4},{"id":23347,"question":"Le théorème de Pythagore s’applique-t-il dans un triangle rectangle ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le théorème de Pythagore stipule que dans un triangle rectangle, le carré de l’hypoténuse est égal à la somme des carrés des deux autres côtés.","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":23348,"question":"Quelle est l’image de 3 par la fonction f(x) = x² - 2x + 5 ?","option_a":"14","option_b":"11","option_c":"20","option_d":"8","option_e":"","option_f":"","bonne_reponse":"a","explication":"Calculez f(3) = 3² - 2×3 + 5 = 9 - 6 + 5 = 8. L’image de 3 est donc 8.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"14\", \"b\": \"11\", \"c\": \"20\", \"d\": \"8\"}}","_debug_options_count":4},{"id":23349,"question":"La somme des angles d’un triangle est toujours égale à 180°.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"C’est une propriété fondamentale de la géométrie plane : la somme des angles internes d’un triangle est toujours 180°.","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":23350,"question":"Résolvez l’inéquation 2x + 3 ≤ 7.","option_a":"x ≤ 2","option_b":"x ≥ 2","option_c":"x ≤ -2","option_d":"x ≥ -2","option_e":"","option_f":"","bonne_reponse":"a","explication":"Résolvez l’inéquation : 2x ≤ 4 → x ≤ 2. L’ensemble des solutions est donc x ≤ 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 ≤ 2\", \"b\": \"x ≥ 2\", \"c\": \"x ≤ -2\", \"d\": \"x ≥ -2\"}}","_debug_options_count":4},{"id":23351,"question":"Le point A(2, -3) appartient-il à la droite d’équation y = 2x - 7 ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Vérifiez si les coordonnées de A satisfont l’équation : -3 = 2×2 - 7 → -3 = -3. Le point A appartient donc à la droite.","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":23352,"question":"Quelle est la nature de la fonction f(x) = 5x - 3 ?","option_a":"Affine","option_b":"Constante","option_c":"Cubique","option_d":"Exponentielle","option_e":"","option_f":"","bonne_reponse":"a","explication":"Une fonction affine est de la forme f(x) = ax + b. Ici, f(x) = 5x - 3 est bien affine.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Affine\", \"b\": \"Constante\", \"c\": \"Cubique\", \"d\": \"Exponentielle\"}}","_debug_options_count":4},{"id":23353,"question":"Le volume d’une sphère de rayon r est donné par la formule V = (4\/3)πr³. Cette formule est-elle correcte ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"La formule du volume d’une sphère est bien V = (4\/3)πr³, 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\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4}]