Quiz Maths : Testez vos connaissances en 3ème année secondaire !

Question 1 sur 10 10:00

[{"id":78622,"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 = 15","option_e":"","option_f":"","bonne_reponse":"A","explication":"3x - 5 = 10 → 3x = 15 → x = 5. L'équation est résolue en isolant x.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":78623,"question":"La fonction f(x) = 2x + 3 est-elle linéaire ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction est linéaire si elle s'écrit f(x) = ax. Ici, f(x) = 2x + 3 est affine, pas linéaire.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":78624,"question":"Quel théorème permet de calculer une longueur dans un triangle rectangle ?","option_a":"Théorème de Pythagore","option_b":"Théorème de Thalès","option_c":"Théorème des milieux","option_d":"Théorème de l'angle inscrit","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le théorème de Pythagore s'applique aux triangles rectangles pour calculer une longueur manquante.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":78625,"question":"Si f(x) = x² - 4x + 4, quelle est l'image de 2 par f ?","option_a":"0","option_b":"4","option_c":"-4","option_d":"8","option_e":"","option_f":"","bonne_reponse":"B","explication":"f(2) = 2² - 4*2 + 4 = 4 - 8 + 4 = 0. L'image de 2 est 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":78626,"question":"La somme des angles d'un triangle est toujours égale à 180°.","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 euclidienne.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":78627,"question":"Quelle est la forme factorisée de x² - 9 ?","option_a":"(x - 3)(x + 3)","option_b":"(x - 9)(x + 1)","option_c":"(x - 3)²","option_d":"(x + 3)²","option_e":"","option_f":"","bonne_reponse":"A","explication":"x² - 9 est une différence de carrés : (x - 3)(x + 3).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":78628,"question":"Dans un repère orthonormé, quelle est la distance entre les points A(1, 2) et B(4, 6) ?","option_a":"5","option_b":"√(13)","option_c":"√(25)","option_d":"7","option_e":"","option_f":"","bonne_reponse":"C","explication":"La distance est √[(4-1)² + (6-2)²] = √(9 + 16) = √25 = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":78629,"question":"Une fonction affine a toujours une représentation graphique en ligne droite.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Les fonctions affines (f(x) = ax + b) sont représentées par des droites.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":78630,"question":"Quel est le coefficient directeur de la droite d'équation y = -2x + 5 ?","option_a":"-2","option_b":"5","option_c":"2","option_d":"-5","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le coefficient directeur est le nombre devant x, ici -2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":78631,"question":"Si deux droites sont parallèles, leurs coefficients directeurs sont égaux.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Deux droites parallèles ont le même coefficient directeur.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]