Quiz — Doc2 exercice 2 de la série 2P Bis .docx

Question 1 sur 10 20:00

[{"id":34820,"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 = 8","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 3x + 5 = 20, soustrayez 5 des deux côtés : 3x = 15, puis divisez 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 = 8\"}}","_debug_options_count":4},{"id":34821,"question":"La somme des angles d'un triangle est égale à 180 degrés.","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 de 180 degrés.","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":34822,"question":"Quelle est la formule de l'aire d'un rectangle ?","option_a":"A = πr²","option_b":"A = L × l","option_c":"A = ½ × base × hauteur","option_d":"A = c²","option_e":"","option_f":"","bonne_reponse":"b","explication":"L'aire d'un rectangle se calcule en multipliant sa longueur (L) par sa largeur (l).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"A = πr²\", \"b\": \"A = L × l\", \"c\": \"A = ½ × base × hauteur\", ","_debug_options_count":4},{"id":34823,"question":"Si a = 4 et b = 3, quelle est la valeur de a² - b² ?","option_a":"7","option_b":"13","option_c":"25","option_d":"16","option_e":"","option_f":"","bonne_reponse":"b","explication":"a² - b² = 4² - 3² = 16 - 9 = 7. Utilisez l'identité remarquable (a - b)(a + b) pour vérifier.","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\": \"13\", \"c\": \"25\", \"d\": \"16\"}}","_debug_options_count":4},{"id":34824,"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":34825,"question":"Quelle est la solution de l'inéquation 2x - 7 \u003C 5 ?","option_a":"x \u003C 6","option_b":"x \u003E 6","option_c":"x ≤ 6","option_d":"x ≥ 6","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 2x - 7 \u003C 5, ajoutez 7 des deux côtés : 2x \u003C 12, puis divisez par 2 : x \u003C 6.","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 \u003C 6\", \"b\": \"x \u003E 6\", \"c\": \"x ≤ 6\", \"d\": \"x ≥ 6\"}}","_debug_options_count":4},{"id":34826,"question":"Un parallélogramme a ses côtés opposés parallèles et de même longueur.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"C'est une propriété caractéristique du parallélogramme : ses côtés opposés sont parallèles et de même longueur.","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":34827,"question":"Quelle est la valeur de x dans l'équation 5(x + 2) = 35 ?","option_a":"x = 5","option_b":"x = 3","option_c":"x = 7","option_d":"x = 1","option_e":"","option_f":"","bonne_reponse":"b","explication":"Développez d'abord : 5x + 10 = 35. Soustrayez 10 : 5x = 25. Divisez par 5 : x = 5. (Correction : x = 5, option correcte manquante dans les choix proposés.)","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 = 3\", \"c\": \"x = 7\", \"d\": \"x = 1\"}}","_debug_options_count":4},{"id":34828,"question":"La médiatrice d'un segment est la droite qui passe par son milieu et qui est perpendiculaire à ce segment.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"La médiatrice d'un segment est bien la droite perpendiculaire à ce segment et passant par son milieu.","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":34829,"question":"Quelle est la solution de l'équation 4x² - 9 = 0 ?","option_a":"x = 3\/2","option_b":"x = ±3\/2","option_c":"x = 9\/4","option_d":"x = 0","option_e":"","option_f":"","bonne_reponse":"b","explication":"Résolvez 4x² = 9, puis x² = 9\/4. Les solutions sont x = 3\/2 et x = -3\/2.","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 = 3\/2\", \"b\": \"x = ±3\/2\", \"c\": \"x = 9\/4\", \"d\": \"x = 0\"}}","_debug_options_count":4}]