Quiz Mathématiques — 1ère Année Secondaire : Algèbre & Géométrie

Question 1 sur 10 10:00

[{"id":71102,"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. Il faut isoler x en ajoutant 5 puis en divisant par 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":71103,"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":"Le théorème de Pythagore ne s'applique qu'aux triangles rectangles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":71104,"question":"Factorisez l'expression 4x² - 9.","option_a":"(2x - 3)(2x + 3)","option_b":"(4x - 9)(x + 1)","option_c":"(2x - 3)²","option_d":"(2x + 3)²","option_e":"","option_f":"","bonne_reponse":"A","explication":"4x² - 9 est une différence de carrés : (2x)² - 3² = (2x - 3)(2x + 3).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":71105,"question":"Si f(x) = 2x + 1, quelle est l'image de 3 par f ?","option_a":"f(3) = 7","option_b":"f(3) = 5","option_c":"f(3) = 6","option_d":"f(3) = 4","option_e":"","option_f":"","bonne_reponse":"B","explication":"f(3) = 2*3 + 1 = 7. L'image de 3 par f est 7.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":71106,"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 plane.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":71107,"question":"Résolvez l'inéquation 2x + 3 \u003E 7.","option_a":"x \u003E 2","option_b":"x \u003E -2","option_c":"x \u003C 2","option_d":"x \u003C -2","option_e":"","option_f":"","bonne_reponse":"A","explication":"2x + 3 \u003E 7 → 2x \u003E 4 → x \u003E 2. Il faut soustraire 3 puis diviser par 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":71108,"question":"Quel est le périmètre d'un carré de côté 5 cm ?","option_a":"20 cm","option_b":"25 cm","option_c":"10 cm","option_d":"15 cm","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le périmètre d'un carré est 4 * côté = 4 * 5 = 20 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":71109,"question":"La fonction f(x) = x² est-elle une fonction affine ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Une fonction affine a la forme f(x) = ax + b. f(x) = x² est une fonction du second degré.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":71110,"question":"Calculez l'aire d'un triangle de base 6 cm et hauteur 4 cm.","option_a":"12 cm²","option_b":"24 cm²","option_c":"10 cm²","option_d":"8 cm²","option_e":"","option_f":"","bonne_reponse":"A","explication":"L'aire d'un triangle est (base * hauteur) \/ 2 = (6 * 4) \/ 2 = 12 cm².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":71111,"question":"Quelle est la solution de l'équation x² - 4x + 4 = 0 ?","option_a":"x = 2","option_b":"x = -2","option_c":"x = 4","option_d":"x = 0","option_e":"","option_f":"","bonne_reponse":"A","explication":"x² - 4x + 4 = (x - 2)² = 0 → x = 2. C'est une identité remarquable.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]