Quiz — CMtakiacademydirecte.pdf

Question 1 sur 10 20:00

[{"id":34520,"question":"Quelle est la solution de l'équation 3x - 5 = 10 ?","option_a":"x = 5","option_b":"x = 15\/3","option_c":"x = 15","option_d":"x = 5\/3","option_e":"","option_f":"","bonne_reponse":"c","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\": \"c\", \"options\": {\"a\": \"x = 5\", \"b\": \"x = 15\/3\", \"c\": \"x = 15\", \"d\": \"x = 5\/3\"}}","_debug_options_count":4},{"id":34521,"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 ne s'applique qu'aux 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":34522,"question":"Quelle est l'image de 2 par la fonction f(x) = 3x + 1 ?","option_a":"f(2) = 7","option_b":"f(2) = 6","option_c":"f(2) = 5","option_d":"f(2) = 4","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour calculer f(2), on remplace x par 2 dans l'expression : f(2) = 3*2 + 1 = 7.","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(2) = 7\", \"b\": \"f(2) = 6\", \"c\": \"f(2) = 5\", \"d\": \"f(2) = 4\"}}","_debug_options_count":4},{"id":34523,"question":"Si un triangle a des côtés de longueurs 3 cm, 4 cm et 5 cm, alors il est 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 côtés : 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":34524,"question":"Quelle est la solution de l'inéquation 2x + 3 ≤ 7 ?","option_a":"x ≤ 2","option_b":"x ≤ 5","option_c":"x ≥ 2","option_d":"x ≥ 5","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 2x + 3 ≤ 7, on soustrait 3 des deux côtés : 2x ≤ 4, puis on divise par 2 : x ≤ 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 ≤ 2\", \"b\": \"x ≤ 5\", \"c\": \"x ≥ 2\", \"d\": \"x ≥ 5\"}}","_debug_options_count":4},{"id":34525,"question":"Le théorème de Thalès s'applique à deux droites sécantes coupées par des parallèles.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le théorème de Thalès s'applique à deux droites sécantes coupées par deux droites parallèles, créant des segments proportionnels.","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":34526,"question":"Quelle est l'aire d'un rectangle de longueur 6 cm et de largeur 4 cm ?","option_a":"24 cm²","option_b":"20 cm²","option_c":"10 cm²","option_d":"12 cm²","option_e":"","option_f":"","bonne_reponse":"a","explication":"L'aire d'un rectangle se calcule avec la formule : longueur × largeur = 6 × 4 = 24 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\": \"24 cm²\", \"b\": \"20 cm²\", \"c\": \"10 cm²\", \"d\": \"12 cm²\"}}","_debug_options_count":4},{"id":34527,"question":"Si f(x) = 2x - 1, alors f(-1) = -3.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Calculons f(-1) : f(-1) = 2*(-1) - 1 = -2 - 1 = -3. 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":34528,"question":"Quelle est la solution de l'équation x² - 9 = 0 ?","option_a":"x = 3","option_b":"x = -3","option_c":"x = 3 ou x = -3","option_d":"x = 9","option_e":"","option_f":"","bonne_reponse":"c","explication":"L'équation x² - 9 = 0 peut s'écrire x² = 9. Les solutions sont donc x = 3 et x = -3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"x = 3\", \"b\": \"x = -3\", \"c\": \"x = 3 ou x = -3\", \"d\": \"x = 9\"}}","_debug_options_count":4},{"id":34529,"question":"Le périmètre d'un cercle de rayon r est donné par la formule P = 2πr.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"La formule du périmètre d'un cercle est bien P = 2πr, où r est le rayon du cercle.","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}]