Quiz Mathématiques : 3ème Année Secondaire — Évaluation des Compétences

Question 1 sur 10 10:00

[{"id":78532,"question":"Quelle est la solution de l'équation 3x - 5 = 7 ?","option_a":"x = 4","option_b":"x = 12","option_c":"x = -4","option_d":"x = 2","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":78533,"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":78534,"question":"Quel est le discriminant de l'équation x² - 4x + 4 = 0 ?","option_a":"Δ = 0","option_b":"Δ = 4","option_c":"Δ = 8","option_d":"Δ = 16","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le discriminant Δ = b² - 4ac = (-4)² - 4(1)(4) = 16 - 16 = 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":78535,"question":"Si deux droites sont parallèles, leurs coefficients directeurs sont-ils 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, ce qui signifie qu'elles ne se croisent jamais.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":78536,"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":"A","explication":"2x + 1 \u003E 5 → 2x \u003E 4 → x \u003E 2. L'inégalité change de sens car on divise par un nombre positif.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":78537,"question":"Le théorème de Pythagore s'applique-t-il uniquement aux triangles rectangles ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le théorème de Pythagore ne s'applique qu'aux triangles rectangles, où le carré de l'hypoténuse est égal à la somme des carrés des deux autres côtés.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":78538,"question":"Quelle est l'image de 2 par la fonction f(x) = x² - 3x + 2 ?","option_a":"f(2) = 0","option_b":"f(2) = 4","option_c":"f(2) = -2","option_d":"f(2) = 2","option_e":"","option_f":"","bonne_reponse":"A","explication":"f(2) = (2)² - 3(2) + 2 = 4 - 6 + 2 = 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":78539,"question":"Deux angles alternes-internes sont-ils toujours égaux ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Deux angles alternes-internes formés par deux droites parallèles coupées par une sécante sont toujours égaux.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":78540,"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, donc sa forme factorisée est (x - 3)(x + 3).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":78541,"question":"La somme des angles d'un triangle est-elle toujours égale à 180° ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Dans un triangle, la somme des trois angles est toujours égale à 180°, quelle que soit sa forme.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]