Maths 3ème secondaire : Testez vos connaissances en équations et fonctions

Question 1 sur 10 10:00

[{"id":20378,"question":"Quelle est la solution de l'équation 3x - 5 = 2x + 7 ?","option_a":"x = 12","option_b":"x = 2","option_c":"x = -12","option_d":"x = 10","option_e":"","option_f":"","bonne_reponse":"A","explication":"En soustrayant 2x des deux côtés et en ajoutant 5, on obtient x = 12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":20379,"question":"La fonction f(x) = 2x² - 8x + 5 est une fonction affine.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Une fonction affine s'écrit sous la forme f(x) = ax + b. Ici, f(x) est une fonction du second degré (présence de x²).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":20380,"question":"Quel est le discriminant de l'équation x² - 6x + 9 = 0 ?","option_a":"Δ = 0","option_b":"Δ = 36","option_c":"Δ = -36","option_d":"Δ = 12","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le discriminant Δ = b² - 4ac = (-6)² - 4(1)(9) = 36 - 36 = 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":20381,"question":"La représentation graphique d'une fonction affine est toujours une droite.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction affine a pour forme f(x) = ax + b, dont la représentation graphique est une droite.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":20382,"question":"Résolvez l'inéquation 2x - 3 \u003E 5.","option_a":"x \u003E 4","option_b":"x \u003C 4","option_c":"x \u003E 1","option_d":"x \u003C 1","option_e":"","option_f":"","bonne_reponse":"A","explication":"En ajoutant 3 puis en divisant par 2, on obtient x \u003E 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":20383,"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 d'un triangle est toujours de 180°.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":20384,"question":"Quel est le coefficient directeur de la droite d'équation y = -3x + 2 ?","option_a":"-3","option_b":"2","option_c":"3","option_d":"-2","option_e":"","option_f":"","bonne_reponse":"A","explication":"Dans l'équation y = ax + b, a représente le coefficient directeur. Ici, a = -3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":20385,"question":"L'équation x² + 4 = 0 admet deux solutions réelles distinctes.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le discriminant Δ = 0² - 4(1)(4) = -16 \u003C 0. L'équation n'a donc pas de solution réelle.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":20386,"question":"Factorisez l'expression 4x² - 9.","option_a":"(2x - 3)(2x + 3)","option_b":"(4x - 9)(x + 1)","option_c":"(x - 3)(4x + 3)","option_d":"(2x + 3)²","option_e":"","option_f":"","bonne_reponse":"A","explication":"Il s'agit d'une identité remarquable de la forme a² - b² = (a - b)(a + b) avec a = 2x et b = 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":20387,"question":"La fonction f(x) = 1\/x est définie pour x = 0.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La fonction f(x) = 1\/x n'est pas définie en x = 0 car la division par zéro est impossible.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]