Quiz — devoir-de-contrôle-n°2--2015-2016(mr-ayada-noureddine).pdf

Question 1 sur 10 20:00

[{"id":37810,"question":"Quelle est la solution de l'équation 3x - 5 = 7 ?","option_a":"x = 4","option_b":"x = 2","option_c":"x = 12","option_d":"x = -4","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 3x - 5 = 7, on ajoute 5 des deux côtés : 3x = 12, puis on divise par 3 : 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 = 2\", \"c\": \"x = 12\", \"d\": \"x = -4\"}}","_debug_options_count":4},{"id":37811,"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":37812,"question":"Quelle est l'aire d'un rectangle de longueur 8 cm et de largeur 5 cm ?","option_a":"40 cm²","option_b":"13 cm²","option_c":"30 cm²","option_d":"26 cm²","option_e":"","option_f":"","bonne_reponse":"a","explication":"L'aire d'un rectangle se calcule par la formule : longueur × largeur = 8 × 5 = 40 cm².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"40 cm²\", \"b\": \"13 cm²\", \"c\": \"30 cm²\", \"d\": \"26 cm²\"}}","_debug_options_count":4},{"id":37813,"question":"Si un triangle a des côtés de longueurs 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 de l'hypoténuse est égal à la somme des carrés des deux autres côtés. Ici, 5² = 3² + 4² (25 = 9 + 16).","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":37814,"question":"Résoudre l'inéquation : 2x + 3 \u003E 7.","option_a":"x \u003E 2","option_b":"x \u003E 5","option_c":"x \u003E -2","option_d":"x \u003C 2","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 2x + 3 \u003E 7, on soustrait 3 : 2x \u003E 4, puis on 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 \u003E 5\", \"c\": \"x \u003E -2\", \"d\": \"x \u003C 2\"}}","_debug_options_count":4},{"id":37815,"question":"Le théorème de Thalès permet de calculer des longueurs dans tous les triangles.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Le théorème de Thalès s'applique uniquement aux triangles qui ont des côtés parallèles ou des droites sécantes.","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":37816,"question":"Quelle est la valeur de x dans l'équation : 4(x - 2) = 16 ?","option_a":"x = 6","option_b":"x = 4","option_c":"x = 2","option_d":"x = 8","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 4(x - 2) = 16, on divise par 4 : x - 2 = 4, puis on ajoute 2 : x = 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 = 6\", \"b\": \"x = 4\", \"c\": \"x = 2\", \"d\": \"x = 8\"}}","_debug_options_count":4},{"id":37817,"question":"Un carré de côté 6 cm a une aire de 36 cm².","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"L'aire d'un carré se calcule par la formule : côté × côté = 6 × 6 = 36 cm².","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":37818,"question":"Quelle est la solution de l'inéquation : -3x + 5 ≤ 2 ?","option_a":"x ≥ 1","option_b":"x ≤ 1","option_c":"x ≥ -1","option_d":"x ≤ -1","option_e":"","option_f":"","bonne_reponse":"b","explication":"Pour résoudre -3x + 5 ≤ 2, on soustrait 5 : -3x ≤ -3, puis on divise par -3 (en inversant le sens de l'inégalité) : x ≥ 1.","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 ≥ 1\", \"b\": \"x ≤ 1\", \"c\": \"x ≥ -1\", \"d\": \"x ≤ -1\"}}","_debug_options_count":4},{"id":37819,"question":"Le théorème de Pythagore est-il utile pour calculer des longueurs dans un triangle quelconque ?","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}]