Quiz — الفرض الثاني للثلاثي الثاني.docx

Question 1 sur 10 20:00

[{"id":37210,"question":"Quelle est la solution de l'équation 3x + 5 = 20 ?","option_a":"x = 5","option_b":"x = 15","option_c":"x = -5","option_d":"x = 10","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 3x + 5 = 20, on soustrait 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 = 15\", \"c\": \"x = -5\", \"d\": \"x = 10\"}}","_debug_options_count":4},{"id":37211,"question":"Dans un triangle rectangle, le carré de l'hypoténuse est égal à la somme des carrés des deux autres côtés.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"C'est l'énoncé du théorème de Pythagore, une propriété fondamentale en géométrie.","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":37212,"question":"Quelle est la valeur de x dans l'équation 2(x - 3) = 4 ?","option_a":"x = 5","option_b":"x = 7","option_c":"x = 1","option_d":"x = 2","option_e":"","option_f":"","bonne_reponse":"b","explication":"On divise d'abord par 2 (x - 3 = 2), puis on ajoute 3 (x = 5).","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 = 5\", \"b\": \"x = 7\", \"c\": \"x = 1\", \"d\": \"x = 2\"}}","_debug_options_count":4},{"id":37213,"question":"Si un triangle a des côtés de 3 cm, 4 cm et 5 cm, est-il rectangle ?","option_a":"Oui, car 3² + 4² = 5²","option_b":"Non, car les côtés ne sont pas égaux","option_c":"Oui, mais seulement si les angles sont égaux","option_d":"Non, car 3 + 4 ≠ 5","option_e":"","option_f":"","bonne_reponse":"a","explication":"3² + 4² = 9 + 16 = 25 = 5², donc le triangle est rectangle d'après le théorème de Pythagore.","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 les côtés ne sont pas","_debug_options_count":4},{"id":37214,"question":"La fraction 12\/18 simplifiée est égale à :","option_a":"2\/3","option_b":"4\/6","option_c":"6\/9","option_d":"1\/2","option_e":"","option_f":"","bonne_reponse":"a","explication":"On divise le numérateur et le dénominateur par leur PGCD (6), ce qui donne 2\/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\": \"2\/3\", \"b\": \"4\/6\", \"c\": \"6\/9\", \"d\": \"1\/2\"}}","_debug_options_count":4},{"id":37215,"question":"Le théorème de Pythagore s'applique uniquement aux triangles isocèles.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Le théorème s'applique à tous les triangles rectangles, quelle que soit la longueur de leurs côtés.","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":37216,"question":"Résoudre l'équation 5x - 7 = 3x + 1.","option_a":"x = 4","option_b":"x = 3","option_c":"x = 2","option_d":"x = -4","option_e":"","option_f":"","bonne_reponse":"a","explication":"On soustrait 3x des deux côtés (2x - 7 = 1), puis on ajoute 7 (2x = 8), et enfin on divise par 2 (x = 4).","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 = 4\", \"b\": \"x = 3\", \"c\": \"x = 2\", \"d\": \"x = -4\"}}","_debug_options_count":4},{"id":37217,"question":"Quelle est la somme des fractions 1\/4 + 2\/3 ?","option_a":"3\/7","option_b":"7\/12","option_c":"5\/12","option_d":"11\/12","option_e":"","option_f":"","bonne_reponse":"b","explication":"On met au même dénominateur (12), ce qui donne 3\/12 + 8\/12 = 11\/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\": \"3\/7\", \"b\": \"7\/12\", \"c\": \"5\/12\", \"d\": \"11\/12\"}}","_debug_options_count":4},{"id":37218,"question":"Dans une équation, on peut ajouter ou soustraire le même nombre des deux côtés sans changer l'égalité.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"C'est une propriété fondamentale des équations : l'égalité reste vraie si on effectue la même opération des deux 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":37219,"question":"Quelle est la valeur de y dans l'équation 4y\/5 = 8 ?","option_a":"y = 10","option_b":"y = 5","option_c":"y = 12","option_d":"y = 8","option_e":"","option_f":"","bonne_reponse":"a","explication":"On multiplie les deux côtés par 5 (4y = 40), puis on divise par 4 (y = 10).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"y = 10\", \"b\": \"y = 5\", \"c\": \"y = 12\", \"d\": \"y = 8\"}}","_debug_options_count":4}]