Quiz : Les fondamentaux de maths pour la 1ère année secondaire

Question 1 sur 10 10:00

[{"id":50291,"question":"Quelle est la solution de l'équation 3x - 5 = 7 ?","option_a":"x = 4","option_b":"x = 12","option_c":"x = 2","option_d":"x = -4","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 3x - 5 = 7, on ajoute 5 des deux côtés : 3x = 12, puis on divise par 3 : x = 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":50292,"question":"La factorisation de x² - 9 est (x - 3)(x + 3).","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est une identité remarquable (a² - b²) = (a - b)(a + b). Ici, x² - 9 = (x - 3)(x + 3).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":50293,"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 + 3x - 12","option_e":"","option_f":"","bonne_reponse":"B","explication":"En développant : (2x)(x) + (2x)(-4) + 3(x) + 3(-4) = 2x² - 8x + 3x - 12 = 2x² - 5x - 12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":50294,"question":"Dans un triangle rectangle, le carré de l'hypoténuse est égal à la somme des carrés des deux autres côtés.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est le théorème de Pythagore, une propriété fondamentale en géométrie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":50295,"question":"Quelle est la solution de l'inéquation 2x + 1 \u003E 5 ?","option_a":"x \u003E 2","option_b":"x \u003E 3","option_c":"x \u003C 2","option_d":"x \u003C 3","option_e":"","option_f":"","bonne_reponse":"B","explication":"En soustrayant 1 : 2x \u003E 4, puis en divisant par 2 : x \u003E 2. La solution est donc x \u003E 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":50296,"question":"Le périmètre d'un carré de côté c est égal à 4c.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le périmètre d'un carré est la somme de ses 4 côtés, donc 4 × c = 4c.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":50297,"question":"Quel est le résultat de 5x² - 3x² + 2x - x ?","option_a":"2x² + x","option_b":"8x² - x","option_c":"2x² - x","option_d":"8x² + x","option_e":"","option_f":"","bonne_reponse":"A","explication":"On regroupe les termes semblables : (5x² - 3x²) + (2x - x) = 2x² + x.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":50298,"question":"Dans une équation du premier degré, la solution est toujours un nombre réel.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une équation du premier degré a toujours une solution réelle, sauf si le coefficient de x est nul et le terme constant non nul.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":50299,"question":"Quel est le résultat de (x + 2)² ?","option_a":"x² + 4","option_b":"x² + 4x + 4","option_c":"x² + 2x + 4","option_d":"x² - 4x + 4","option_e":"","option_f":"","bonne_reponse":"B","explication":"C'est une identité remarquable : (a + b)² = a² + 2ab + b². Ici, (x + 2)² = x² + 4x + 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":50300,"question":"La médiatrice d'un segment est une droite qui passe par le milieu du segment et qui lui est perpendiculaire.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est la définition même de la médiatrice d'un segment en géométrie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]