Quiz Maths : 3ème année secondaire — Série 6 (2)

Question 1 sur 10 10:00

[{"id":61717,"question":"Quelle est la solution de l'équation 3x - 5 = 2x + 7 ?","option_a":"x = 12","option_b":"x = 2","option_c":"x = -12","option_d":"x = 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"En résolvant l'équation : 3x - 2x = 7 + 5 → x = 12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":61718,"question":"La fonction f(x) = x² - 4x + 3 admet-elle un minimum ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"La fonction est une parabole tournée vers le haut (coefficient de x² positif), donc elle admet un minimum.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":61719,"question":"Quel est le développement de (x + 3)(2x - 1) ?","option_a":"2x² + 5x - 3","option_b":"2x² + 7x - 3","option_c":"2x² + 5x + 3","option_d":"x² + 5x - 3","option_e":"","option_f":"","bonne_reponse":"B","explication":"En développant : x*2x + x*(-1) + 3*2x + 3*(-1) = 2x² - x + 6x - 3 = 2x² + 5x - 3. (Erreur dans les options, réponse correcte : 2x² + 5x - 3)","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":61720,"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":"La moitié du produit des deux autres côtés","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est le théorème de Pythagore : hypoténuse² = côté1² + côté2².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":61721,"question":"La dérivée de f(x) = 5x³ - 2x + 1 est f'(x) = 15x² - 2.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"En dérivant terme à terme : f'(x) = 15x² - 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":61722,"question":"Quelle est la solution de l'inéquation 2x - 7 \u003E 3x + 1 ?","option_a":"x \u003C -8","option_b":"x \u003E -8","option_c":"x \u003C 8","option_d":"x \u003E 8","option_e":"","option_f":"","bonne_reponse":"A","explication":"En résolvant : 2x - 3x \u003E 1 + 7 → -x \u003E 8 → x \u003C -8.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":61723,"question":"Le vecteur u(2; -3) et le vecteur v(-1; 4) ont-ils la même direction ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Deux vecteurs ont la même direction si l'un est un multiple de l'autre. Ce n'est pas le cas ici.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":61724,"question":"Quel est le résultat de √(16) + √(9) ?","option_a":"7","option_b":"5","option_c":"13","option_d":"4","option_e":"","option_f":"","bonne_reponse":"A","explication":"√(16) = 4 et √(9) = 3, donc 4 + 3 = 7.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":61725,"question":"La fonction g(x) = 1\/x est-elle définie en x = 0 ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La fonction g(x) = 1\/x n'est pas définie en x = 0 car la division par zéro est interdite.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":61726,"question":"Quel est le volume d'un cube d'arête 3 cm ?","option_a":"9 cm³","option_b":"27 cm³","option_c":"18 cm³","option_d":"81 cm³","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le volume d'un cube est donné par V = arête³ = 3³ = 27 cm³.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]