Quiz — D.C-n-2-4-Math-2024-Lp-Mahdia-et-Lp-Sfax2.pdf

Question 1 sur 10 20:00

[{"id":21979,"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 = 2","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 3x - 5 = 10, on ajoute 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 = 3\", \"c\": \"x = 15\/3\", \"d\": \"x = 2\"}}","_debug_options_count":4},{"id":21980,"question":"Le théorème de Pythagore s'applique uniquement aux triangles rectangles.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le théorème de Pythagore est valable uniquement pour les triangles rectangles, où 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":21981,"question":"Quelle est la forme développée de (x + 3)(x - 2) ?","option_a":"x² + x - 6","option_b":"x² - x - 6","option_c":"x² + 5x - 6","option_d":"x² - 6x + 1","option_e":"","option_f":"","bonne_reponse":"b","explication":"En développant (x + 3)(x - 2), on obtient x² - 2x + 3x - 6 = x² + x - 6. La réponse correcte est donc x² - x - 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"x² + x - 6\", \"b\": \"x² - x - 6\", \"c\": \"x² + 5x - 6\", \"d\": \"x² ","_debug_options_count":4},{"id":21982,"question":"Si f(x) = 2x + 1, quelle est l'image de 4 par f ?","option_a":"f(4) = 8","option_b":"f(4) = 9","option_c":"f(4) = 7","option_d":"f(4) = 10","option_e":"","option_f":"","bonne_reponse":"b","explication":"Pour calculer f(4), on remplace x par 4 dans l'expression : f(4) = 2*4 + 1 = 8 + 1 = 9.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"f(4) = 8\", \"b\": \"f(4) = 9\", \"c\": \"f(4) = 7\", \"d\": \"f(4) = 10\"}}","_debug_options_count":4},{"id":21983,"question":"La fonction linéaire f(x) = -3x est décroissante.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Une fonction linéaire f(x) = ax + b est décroissante si a \u003C 0. Ici, a = -3, donc la fonction est bien décroissante.","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":21984,"question":"Quelle est la solution du système d'équations { 2x + y = 5 ; x - y = 1 } ?","option_a":"x = 2, y = 1","option_b":"x = 1, y = 3","option_c":"x = 3, y = -1","option_d":"x = 0, y = 5","option_e":"","option_f":"","bonne_reponse":"a","explication":"En résolvant le système, on trouve x = 2 et y = 1. Vérification : 2*2 + 1 = 5 et 2 - 1 = 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\": \"x = 2, y = 1\", \"b\": \"x = 1, y = 3\", \"c\": \"x = 3, y = -1\", \"d\": \"x","_debug_options_count":4},{"id":21985,"question":"L'aire d'un rectangle de longueur 5 cm et de largeur 3 cm est de 15 cm².","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"L'aire d'un rectangle se calcule par longueur × largeur. Ici, 5 cm × 3 cm = 15 cm². L'affirmation est donc vraie.","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":21986,"question":"Quelle est la dérivée de f(x) = 4x² + 2x - 1 ?","option_a":"f'(x) = 8x + 2","option_b":"f'(x) = 4x + 2","option_c":"f'(x) = 8x² + 2","option_d":"f'(x) = 4x² + 2x","option_e":"","option_f":"","bonne_reponse":"a","explication":"La dérivée de 4x² est 8x, celle de 2x est 2, et celle de -1 est 0. Donc f'(x) = 8x + 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\": \"f'(x) = 8x + 2\", \"b\": \"f'(x) = 4x + 2\", \"c\": \"f'(x) = 8x² + 2\", ","_debug_options_count":4},{"id":21987,"question":"Si un triangle a 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":"Un triangle est rectangle si le carré du plus grand côté est égal à la somme des carrés des deux autres. Ici, 5² = 3² + 4² → 25 = 9 + 16 → 25 = 25. Donc il 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":21988,"question":"Quelle est la solution de l'inéquation 2x - 7 \u003E 3 ?","option_a":"x \u003E 5","option_b":"x \u003C 5","option_c":"x \u003E 2","option_d":"x \u003C 2","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 2x - 7 \u003E 3, on ajoute 7 des deux côtés : 2x \u003E 10. Puis on divise par 2 : x \u003E 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 \u003E 5\", \"b\": \"x \u003C 5\", \"c\": \"x \u003E 2\", \"d\": \"x \u003C 2\"}}","_debug_options_count":4}]