Quiz — corr ct3 20140001.pdf

Question 1 sur 10 20:00

[{"id":12848,"question":"Quelle est la solution de l'équation 2x + 5 = 11 ?","option_a":"x = 3","option_b":"x = 4","option_c":"x = 2","option_d":"x = 5","option_e":"","option_f":"","bonne_reponse":"a","explication":"Soustraire 5 des deux côtés donne 2x = 6, puis diviser par 2 donne 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 = 3\", \"b\": \"x = 4\", \"c\": \"x = 2\", \"d\": \"x = 5\"}}","_debug_options_count":4},{"id":12849,"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":12850,"question":"Quelle est la forme canonique de la fonction f(x) = x² + 4x + 3 ?","option_a":"f(x) = (x + 2)² - 1","option_b":"f(x) = (x - 2)² + 1","option_c":"f(x) = (x + 1)² + 2","option_d":"f(x) = (x - 1)² + 4","option_e":"","option_f":"","bonne_reponse":"a","explication":"Compléter le carré : f(x) = (x² + 4x + 4) - 1 = (x + 2)² - 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"f(x) = (x + 2)² - 1\", \"b\": \"f(x) = (x - 2)² + 1\", \"c\": \"f(x) = ","_debug_options_count":4},{"id":12851,"question":"Si un triangle a des côtés de longueurs 3, 4 et 5, est-il rectangle ?","option_a":"Oui, car 3² + 4² = 5²","option_b":"Non, car 3 + 4 ≠ 5","option_c":"Oui, car 3 + 4 \u003E 5","option_d":"Non, car 5² ≠ 3² + 4²","option_e":"","option_f":"","bonne_reponse":"a","explication":"3² + 4² = 9 + 16 = 25 = 5², donc le 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\": \"Oui, car 3² + 4² = 5²\", \"b\": \"Non, car 3 + 4 ≠ 5\", \"c\": \"Oui","_debug_options_count":4},{"id":12852,"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 a 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":12853,"question":"Quelle est la solution de l'inéquation 3x - 7 ≤ 2x + 1 ?","option_a":"x ≤ 8","option_b":"x ≥ 8","option_c":"x ≤ -8","option_d":"x ≥ -8","option_e":"","option_f":"","bonne_reponse":"a","explication":"Soustraire 2x des deux côtés donne x - 7 ≤ 1, puis ajouter 7 donne x ≤ 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\": \"x ≤ 8\", \"b\": \"x ≥ 8\", \"c\": \"x ≤ -8\", \"d\": \"x ≥ -8\"}}","_debug_options_count":4},{"id":12854,"question":"Le volume d'un cube de côté 4 cm est-il égal à 64 cm³ ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le volume d'un cube est côté³, donc 4³ = 64 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\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":12855,"question":"Quelle est la dérivée de la fonction f(x) = 3x² + 2x - 5 ?","option_a":"f'(x) = 6x + 2","option_b":"f'(x) = 3x + 2","option_c":"f'(x) = 6x - 5","option_d":"f'(x) = 2x + 3","option_e":"","option_f":"","bonne_reponse":"a","explication":"La dérivée de 3x² est 6x, celle de 2x est 2, et celle de -5 est 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"f'(x) = 6x + 2\", \"b\": \"f'(x) = 3x + 2\", \"c\": \"f'(x) = 6x - 5\", \"d","_debug_options_count":4},{"id":12856,"question":"Si un triangle a des angles de 30°, 60° et 90°, est-il rectangle ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Un triangle avec un angle de 90° 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":12857,"question":"Quelle est la solution de l'équation x² - 5x + 6 = 0 ?","option_a":"x = 2 ou x = 3","option_b":"x = -2 ou x = -3","option_c":"x = 1 ou x = 6","option_d":"x = 0 ou x = 5","option_e":"","option_f":"","bonne_reponse":"a","explication":"Factoriser : (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 ou x = 3\", \"b\": \"x = -2 ou x = -3\", \"c\": \"x = 1 ou x = 6\", ","_debug_options_count":4}]