Quiz interactif : Maths & Sciences Physiques — 4ème année secondaire

Question 1 sur 10 10:00

[{"id":21298,"question":"Quelle est la dérivée de la fonction f(x) = 3x² + 2x - 5 ?","option_a":"6x + 2","option_b":"3x + 2","option_c":"6x² + 2x","option_d":"3x² + 2","option_e":"","option_f":"","bonne_reponse":"A","explication":"La dérivée d'une fonction polynôme se calcule terme par terme : la dérivée de 3x² est 6x, celle de 2x est 2, et celle de -5 est 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":21299,"question":"Dans un circuit électrique en série, la tension totale est égale à la somme des tensions aux bornes de chaque dipôle.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est une loi fondamentale de l'électricité (loi des mailles) : U_total = U1 + U2 + ... + Un.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":21300,"question":"Quelle est la solution de l'équation 2x - 7 = 3x + 1 ?","option_a":"x = -8","option_b":"x = 8","option_c":"x = -6","option_d":"x = 6","option_e":"","option_f":"","bonne_reponse":"A","explication":"En isolant x : 2x - 3x = 1 + 7 → -x = 8 → x = -8.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":21301,"question":"La force de frottement cinétique est toujours opposée au mouvement.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"La force de frottement cinétique s'oppose toujours au mouvement relatif entre deux surfaces en contact.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":21302,"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":"C'est une identité remarquable : a² - b² = (a - b)(a + b). Ici, a = x et b = 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":21303,"question":"Dans un mouvement rectiligne uniformément accéléré, la vitesse est constante.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Dans un MRUA, la vitesse varie linéairement avec le temps (a ≠ 0). Une vitesse constante caractérise un mouvement rectiligne uniforme.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":21304,"question":"Quelle est la puissance électrique dissipée par un dipôle de résistance R = 10 Ω traversé par un courant I = 2 A ?","option_a":"20 W","option_b":"40 W","option_c":"5 W","option_d":"80 W","option_e":"","option_f":"","bonne_reponse":"B","explication":"La puissance est donnée par P = R × I² = 10 × (2)² = 40 W.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":21305,"question":"La loi de la gravitation universelle s'applique uniquement aux planètes.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La loi de Newton s'applique à tous les corps massiques, quelle que soit leur taille ou leur nature.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":21306,"question":"Quelle est la solution de l'inéquation 3x + 5 ≤ 2x - 1 ?","option_a":"x ≤ -6","option_b":"x ≥ -6","option_c":"x ≤ 6","option_d":"x ≥ 6","option_e":"","option_f":"","bonne_reponse":"A","explication":"En isolant x : 3x - 2x ≤ -1 -5 → x ≤ -6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":21307,"question":"Dans un circuit en dérivation, l'intensité totale est égale à la somme des intensités dans chaque branche.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est une conséquence de la loi des nœuds : I_total = I1 + I2 + ... + In.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]