Maths 2ème année secondaire : Testez vos connaissances en 10 questions

Question 1 sur 10 10:00

[{"id":54751,"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":54752,"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 avec a=2 et b=3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":54753,"question":"Quel est le discriminant de l'équation x² - 4x + 3 = 0 ?","option_a":"Δ = 4","option_b":"Δ = 16","option_c":"Δ = -4","option_d":"Δ = 0","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le discriminant Δ = b² - 4ac = (-4)² - 4*1*3 = 16 - 12 = 4. La réponse proposée est incorrecte.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":54754,"question":"Si deux droites sont parallèles, leurs coefficients directeurs sont :","option_a":"égaux","option_b":"opposés","option_c":"inverses","option_d":"nuls","option_e":"","option_f":"","bonne_reponse":"A","explication":"Deux droites parallèles ont le même coefficient directeur (même pente).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":54755,"question":"L'aire d'un triangle rectangle est toujours égale à (base × hauteur) \/ 2.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Cette formule est valable pour tout triangle, pas seulement les triangles rectangles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":54756,"question":"Résolvez 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":"2x + 1 \u003E 5 ⇒ 2x \u003E 4 ⇒ x \u003E 2. La réponse correcte est x \u003E 2, mais l'option proposée est x \u003E 3 (incorrecte).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":54757,"question":"Quel est le résultat de (-3)² ?","option_a":"-9","option_b":"9","option_c":"6","option_d":"-6","option_e":"","option_f":"","bonne_reponse":"B","explication":"(-3)² = (-3) × (-3) = 9. Le carré d'un nombre négatif est toujours positif.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":54758,"question":"Les médianes d'un triangle se coupent toujours en un même point appelé :","option_a":"centre de gravité","option_b":"orthocentre","option_c":"circumcentre","option_d":"incentre","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le point d'intersection des médianes est appelé centre de gravité (ou isobarycentre).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":54759,"question":"La fonction f(x) = x² est-elle décroissante sur ℝ ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La fonction f(x) = x² est décroissante sur ]-∞; 0] et croissante sur [0; +∞[. Elle n'est pas décroissante sur tout ℝ.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":54760,"question":"Quel est le résultat de √(16) + √(9) ?","option_a":"7","option_b":"5","option_c":"10","option_d":"13","option_e":"","option_f":"","bonne_reponse":"B","explication":"√(16) = 4 et √(9) = 3, donc √(16) + √(9) = 4 + 3 = 7. La réponse correcte est 7, mais l'option proposée est 5 (incorrecte).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]