Quiz : Algèbre et Trigonométrie — 1ère année secondaire

Question 1 sur 10 10:00

[{"id":32408,"question":"Quelle est la solution de l'équation 3x - 5 = 10 ?","option_a":"x = 5","option_b":"x = 15\/3","option_c":"x = 5\/3","option_d":"x = 1","option_e":"","option_f":"","bonne_reponse":"A","explication":"En ajoutant 5 aux deux côtés de l'équation, on obtient 3x = 15. En divisant par 3, on trouve x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":32409,"question":"Dans un triangle rectangle, si l'angle A mesure 30°, alors sin(A) est égal à :","option_a":"0.5","option_b":"√3\/2","option_c":"1\/√3","option_d":"√2\/2","option_e":"","option_f":"","bonne_reponse":"A","explication":"Par définition, sin(30°) = 1\/2 = 0.5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":32410,"question":"L'inéquation 2x + 3 \u003E 7 a pour solution :","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"En soustrayant 3 et en divisant par 2, on obtient x \u003E 2. L'inéquation est donc vraie pour x \u003E 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":32411,"question":"Quelle est la valeur de cos(60°) ?","option_a":"1\/2","option_b":"√3\/2","option_c":"√2\/2","option_d":"1","option_e":"","option_f":"","bonne_reponse":"A","explication":"cos(60°) = 1\/2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":32412,"question":"L'équation x² - 4x + 4 = 0 a pour solution :","option_a":"x = 2","option_b":"x = -2","option_c":"x = 4","option_d":"x = 0","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est une identité remarquable : (x - 2)² = 0, donc x = 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":32413,"question":"Dans un triangle rectangle, tan(A) = côté opposé \/ côté adjacent.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Par définition, tan(A) = côté opposé \/ côté adjacent.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":32414,"question":"Quelle est la solution de l'inéquation 5 - 2x ≤ 1 ?","option_a":"x ≥ 2","option_b":"x ≤ 2","option_c":"x \u003E 2","option_d":"x \u003C 2","option_e":"","option_f":"","bonne_reponse":"A","explication":"En soustrayant 5 et en divisant par -2 (en inversant le sens de l'inégalité), on obtient x ≥ 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":32415,"question":"Si sin(A) = 3\/5 dans un triangle rectangle, alors cos(A) est égal à :","option_a":"4\/5","option_b":"3\/4","option_c":"5\/3","option_d":"1\/2","option_e":"","option_f":"","bonne_reponse":"A","explication":"En utilisant le théorème de Pythagore, cos(A) = √(1 - sin²(A)) = √(1 - 9\/25) = 4\/5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":32416,"question":"L'équation 4x - 8 = 0 a pour solution x = 2.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"En ajoutant 8 et en divisant par 4, on obtient x = 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":32417,"question":"Quelle est la valeur de tan(45°) ?","option_a":"0","option_b":"1","option_c":"√2","option_d":"√3","option_e":"","option_f":"","bonne_reponse":"B","explication":"tan(45°) = 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]