Quiz : Les bases mathématiques de la 1ère année secondaire

Question 1 sur 10 10:00

[{"id":48281,"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.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":48282,"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":48283,"question":"Quel est le coefficient directeur de la droite d'équation y = -4x + 7 ?","option_a":"7","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":48284,"question":"L'aire d'un triangle rectangle de côtés 3 cm et 4 cm est de 6 cm².","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"L'aire est (3 × 4) \/ 2 = 6 cm². La réponse est donc Vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":48285,"question":"Quelle est la distance entre les points A(2, 3) et B(-1, 1) dans un repère orthonormé ?","option_a":"√13","option_b":"√5","option_c":"5","option_d":"√2","option_e":"","option_f":"","bonne_reponse":"A","explication":"Distance = √[(2 - (-1))² + (3 - 1)²] = √(9 + 4) = √13.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":48286,"question":"La somme des angles d'un triangle est toujours 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.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":48287,"question":"Quel est le résultat de (2x + 3)(x - 4) ?","option_a":"2x² - 5x - 12","option_b":"2x² - 8x + 3x - 12","option_c":"2x² - 5x + 12","option_d":"2x² - 8x - 12","option_e":"","option_f":"","bonne_reponse":"A","explication":"Développement : 2x² - 8x + 3x - 12 = 2x² - 5x - 12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":48288,"question":"Un angle de 90 degrés est appelé angle obtus.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Un angle obtus mesure entre 90 et 180 degrés. Un angle de 90° est un angle droit.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":48289,"question":"Quelle est la solution de l'équation 2(x + 3) = 4x - 6 ?","option_a":"x = 6","option_b":"x = 3","option_c":"x = 0","option_d":"x = -6","option_e":"","option_f":"","bonne_reponse":"A","explication":"2x + 6 = 4x - 6 → 12 = 2x → x = 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":48290,"question":"La droite d'équation y = 5 est parallèle à l'axe des abscisses.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une droite horizontale (y = constante) est parallèle à l'axe des abscisses.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]