Quiz Maths : Équations, Fonctions et Géométrie — 3ème Année Secondaire

Question 1 sur 10 10:00

[{"id":67662,"question":"Quelle est la solution de l'équation 3x - 7 = 2x + 5 ?","option_a":"x = 2","option_b":"x = 12","option_c":"x = -2","option_d":"x = 5","option_e":"","option_f":"","bonne_reponse":"B","explication":"En soustrayant 2x des deux côtés et en ajoutant 7, on obtient x = 12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":67663,"question":"La fonction f(x) = 2x + 3 est-elle une fonction affine ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction affine s'écrit sous la forme f(x) = ax + b, ce qui est le cas ici.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":67664,"question":"Quel est le coefficient directeur de la droite d'équation y = -4x + 1 ?","option_a":"1","option_b":"-4","option_c":"4","option_d":"-1","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le coefficient directeur est le nombre devant x, soit -4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":67665,"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":"Il ne s'applique qu'aux triangles rectangles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":67666,"question":"Résolvez l'inéquation 5 - 2x \u003E 1.","option_a":"x \u003C 2","option_b":"x \u003E 2","option_c":"x \u003C -2","option_d":"x \u003E -2","option_e":"","option_f":"","bonne_reponse":"A","explication":"En soustrayant 5 puis en divisant par -2 (en inversant le sens de l'inégalité), on obtient x \u003C 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":67667,"question":"Quelle est la valeur de sin(30°) ?","option_a":"0","option_b":"1\/2","option_c":"√2\/2","option_d":"√3\/2","option_e":"","option_f":"","bonne_reponse":"B","explication":"sin(30°) est égal à 1\/2, une valeur fondamentale en trigonométrie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":67668,"question":"L'équation x² - 5x + 6 = 0 admet-elle deux solutions réelles ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le discriminant Δ = 25 - 24 = 1 \u003E 0, donc deux solutions réelles existent.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":67669,"question":"Quelle est l'image de 3 par la fonction f(x) = x² - 4x + 1 ?","option_a":"-2","option_b":"2","option_c":"-4","option_d":"4","option_e":"","option_f":"","bonne_reponse":"A","explication":"f(3) = 9 - 12 + 1 = -2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":67670,"question":"Les droites d'équations y = 2x + 1 et y = -0.5x + 3 sont-elles perpendiculaires ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le produit des coefficients directeurs est 2 × (-0.5) = -1, donc elles sont perpendiculaires.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":67671,"question":"Quel est le résultat de (3x - 2)(x + 4) ?","option_a":"3x² + 10x - 8","option_b":"3x² + 14x - 8","option_c":"3x² - 10x + 8","option_d":"3x² + 10x + 8","option_e":"","option_f":"","bonne_reponse":"A","explication":"En développant, on obtient 3x² + 12x - 2x - 8 = 3x² + 10x - 8.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]