Quiz — devoir-de-contrôle-3-2023-2024.pdf

Question 1 sur 10 20:00

[{"id":41150,"question":"Quelle est la solution de l'équation 3x - 5 = 10 ?","option_a":"x = 5","option_b":"x = 3","option_c":"x = 15\/3","option_d":"x = 10\/3","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 3x - 5 = 10, ajoute 5 des deux côtés : 3x = 15, puis 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 = 3\", \"c\": \"x = 15\/3\", \"d\": \"x = 10\/3\"}}","_debug_options_count":4},{"id":41151,"question":"La fonction f(x) = 2x + 3 est-elle 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.","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":41152,"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":"1","option_e":"","option_f":"","bonne_reponse":"b","explication":"Le coefficient directeur est le nombre devant x, ici -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\": \"1\"}}","_debug_options_count":4},{"id":41153,"question":"Dans un triangle rectangle, si un angle mesure 30°, l'autre angle mesure :","option_a":"60°","option_b":"90°","option_c":"120°","option_d":"45°","option_e":"","option_f":"","bonne_reponse":"a","explication":"La somme des angles d'un triangle est 180°. Si un angle est 90° et un autre 30°, le troisième mesure 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\": \"90°\", \"c\": \"120°\", \"d\": \"45°\"}}","_debug_options_count":4},{"id":41154,"question":"L'équation x² - 5x + 6 = 0 a pour solutions :","option_a":"x = 2 et x = 3","option_b":"x = -2 et x = -3","option_c":"x = 1 et x = 6","option_d":"x = 0 et x = 5","option_e":"","option_f":"","bonne_reponse":"a","explication":"Factorisons : (x - 2)(x - 3) = 0, donc x = 2 ou x = 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\": \"x = 2 et x = 3\", \"b\": \"x = -2 et x = -3\", \"c\": \"x = 1 et x = 6\", ","_debug_options_count":4},{"id":41155,"question":"Le théorème de Pythagore s'applique-t-il à tous les triangles ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Le théorème de Pythagore ne s'applique qu'aux triangles rectangles.","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":41156,"question":"Quelle est l'image de 4 par la fonction f(x) = x² - 2x + 1 ?","option_a":"9","option_b":"16","option_c":"1","option_d":"7","option_e":"","option_f":"","bonne_reponse":"a","explication":"Calculons f(4) = 4² - 2*4 + 1 = 16 - 8 + 1 = 9.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"9\", \"b\": \"16\", \"c\": \"1\", \"d\": \"7\"}}","_debug_options_count":4},{"id":41157,"question":"Dans un cercle de rayon 5 cm, la longueur d'un diamètre est :","option_a":"10 cm","option_b":"5 cm","option_c":"25 cm","option_d":"π cm","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le diamètre est le double du rayon, donc 5 * 2 = 10 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\": \"10 cm\", \"b\": \"5 cm\", \"c\": \"25 cm\", \"d\": \"π cm\"}}","_debug_options_count":4},{"id":41158,"question":"L'inéquation 2x + 3 \u003E 7 a pour solution :","option_a":"x \u003E 2","option_b":"x \u003C 2","option_c":"x \u003E 5","option_d":"x \u003C 5","option_e":"","option_f":"","bonne_reponse":"a","explication":"Soustrais 3 : 2x \u003E 4, puis divise par 2 : 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 5\", \"d\": \"x \u003C 5\"}}","_debug_options_count":4},{"id":41159,"question":"La moyenne de 4, 6, 8 et 10 est :","option_a":"7","option_b":"8","option_c":"6","option_d":"9","option_e":"","option_f":"","bonne_reponse":"a","explication":"Calculons (4 + 6 + 8 + 10) \/ 4 = 28 \/ 4 = 7.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"7\", \"b\": \"8\", \"c\": \"6\", \"d\": \"9\"}}","_debug_options_count":4}]