Quiz interactif : Les fondamentaux des mathématiques en 3ème année secondaire

Question 1 sur 10 10:00

[{"id":17698,"question":"Quelle est la solution de l'équation 2x + 5 = 11 ?","option_a":"x = 3","option_b":"x = -3","option_c":"x = 8","option_d":"x = -8","option_e":"","option_f":"","bonne_reponse":"A","explication":"2x + 5 = 11 ⇒ 2x = 6 ⇒ x = 3. La solution est x = 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":17699,"question":"La fonction f(x) = 3x + 2 est-elle affine ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction affine s'écrit f(x) = ax + b. Ici, f(x) = 3x + 2 est bien affine.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":17700,"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":"Δ = b² - 4ac = (-4)² - 4*1*4 = 16 - 16 = 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":17701,"question":"Dans un triangle rectangle, le carré de l'hypoténuse est égal à :","option_a":"La somme des carrés des deux autres côtés","option_b":"La différence des carrés des deux autres côtés","option_c":"Le produit des deux autres côtés","option_d":"Le quotient des deux autres côtés","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est le théorème de Pythagore : c² = a² + b².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":17702,"question":"La moyenne d'une série statistique est toujours un nombre entier.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La moyenne peut être un nombre décimal, par exemple pour la série {1, 2, 3}, la moyenne est 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":17703,"question":"Quel est l'ensemble des solutions de l'inéquation 3x - 7 \u003E 2 ?","option_a":"x \u003E 3","option_b":"x \u003C 3","option_c":"x \u003E -3","option_d":"x \u003C -3","option_e":"","option_f":"","bonne_reponse":"A","explication":"3x - 7 \u003E 2 ⇒ 3x \u003E 9 ⇒ x \u003E 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":17704,"question":"Dans la fonction f(x) = -2x + 5, quel est le coefficient directeur ?","option_a":"-2","option_b":"2","option_c":"5","option_d":"-5","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le coefficient directeur est le nombre devant x, ici -2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":17705,"question":"Le théorème de Thalès s'applique uniquement aux triangles isocèles.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le théorème de Thalès s'applique à tous les triangles, à condition que les droites soient parallèles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":17706,"question":"Quelle est la médiane de la série {4, 6, 8, 10, 12} ?","option_a":"6","option_b":"8","option_c":"10","option_d":"12","option_e":"","option_f":"","bonne_reponse":"B","explication":"La médiane est la valeur centrale de la série ordonnée, ici 8.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":17707,"question":"La fonction f(x) = x² est-elle croissante 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, +∞[.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]