Quiz : Maîtrisez les fonctions et équations en 3ème année secondaire

Question 1 sur 10 10:00

[{"id":15738,"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":"Résolvez l'équation : 3x - 5 = 10 → 3x = 15 → x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":15739,"question":"La fonction f(x) = 2x² + 3x - 5 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 s'écrit sous la forme f(x) = ax + b. Ici, le terme x² indique qu'il s'agit d'une fonction du second degré.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":15740,"question":"Quelle est l'image de x = 2 par la fonction f(x) = -x² + 4x + 1 ?","option_a":"f(2) = 5","option_b":"f(2) = 1","option_c":"f(2) = -3","option_d":"f(2) = 3","option_e":"","option_f":"","bonne_reponse":"A","explication":"Calculons f(2) = -(2)² + 4(2) + 1 = -4 + 8 + 1 = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":15741,"question":"La moyenne d'une série statistique est toujours égale à la médiane.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La moyenne et la médiane sont égales uniquement si la distribution est symétrique. Sinon, elles peuvent différer.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":15742,"question":"Quelle est la forme factorisée de l'expression 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 : x² - 3² = (x - 3)(x + 3).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":15743,"question":"Si une fonction f est croissante sur un intervalle, alors sa dérivée f' est positive sur cet intervalle.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction croissante sur un intervalle a une dérivée positive (ou nulle) sur cet intervalle.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":15744,"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":"L'équation peut s'écrire (x - 2)² = 0 → x = 2 (solution double).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":15745,"question":"L'écart-type mesure la dispersion des valeurs d'une série statistique autour de la moyenne.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"L'écart-type est une mesure de la dispersion des valeurs autour de la moyenne.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":15746,"question":"Quelle est la représentation graphique d'une fonction affine ?","option_a":"Une droite","option_b":"Une parabole","option_c":"Un cercle","option_d":"Une hyperbole","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction affine (f(x) = ax + b) est représentée par une droite dans un repère orthonormé.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":15747,"question":"Si f(x) = 3x + 2, alors f(0) = 2.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"f(0) = 3(0) + 2 = 2. L'affirmation est donc vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]