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Question 1 sur 10 10:00

[{"id":27298,"question":"Quelle est la formule de la dérivée de la fonction f(x) = x² ?","option_a":"f'(x) = 2x","option_b":"f'(x) = x","option_c":"f'(x) = 2","option_d":"f'(x) = x²","option_e":"","option_f":"","bonne_reponse":"A","explication":"La dérivée de x² est obtenue en appliquant la règle de puissance : f'(x) = 2x.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":27299,"question":"L'équation x² - 5x + 6 = 0 admet deux solutions réelles distinctes.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le discriminant Δ = 25 - 24 = 1 \u003E 0, donc deux solutions réelles distinctes existent.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":27300,"question":"Quelle est la valeur de sin(π\/2) ?","option_a":"0","option_b":"1","option_c":"-1","option_d":"π\/2","option_e":"","option_f":"","bonne_reponse":"B","explication":"sin(π\/2) = 1, car π\/2 correspond à 90° sur le cercle trigonométrique.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":27301,"question":"La loi d'Ohm s'écrit U = R × I. Que représente U ?","option_a":"L'intensité du courant","option_b":"La tension électrique","option_c":"La résistance","option_d":"La puissance","option_e":"","option_f":"","bonne_reponse":"B","explication":"U représente la tension électrique, mesurée en volts (V).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":27302,"question":"Un triangle rectangle a toujours un angle de 90°.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Par définition, un triangle rectangle possède un angle droit de 90°.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":27303,"question":"Quelle est la factorisation de x² - 9 ?","option_a":"(x - 3)(x + 3)","option_b":"(x - 3)²","option_c":"(x + 3)²","option_d":"x(x - 9)","option_e":"","option_f":"","bonne_reponse":"A","explication":"x² - 9 est une différence de carrés : (x - 3)(x + 3).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":27304,"question":"La photosynthèse produit-elle de l'oxygène ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"La photosynthèse libère de l'oxygène comme sous-produit de la conversion du CO₂ en glucose.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":27305,"question":"Quelle est la capitale de la Tunisie ?","option_a":"Tunis","option_b":"Sfax","option_c":"Sousse","option_d":"Bizerte","option_e":"","option_f":"","bonne_reponse":"A","explication":"La capitale de la Tunisie est Tunis.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":27306,"question":"La loi de la gravitation universelle s'écrit F = G × (m1 × m2) \/ d². Que représente G ?","option_a":"La masse","option_b":"La constante de gravitation","option_c":"L'accélération","option_d":"La force","option_e":"","option_f":"","bonne_reponse":"B","explication":"G est la constante de gravitation universelle, notée 6,67 × 10⁻¹¹ N·m²\/kg².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":27307,"question":"Un atome est toujours électriquement neutre.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Un atome est neutre car le nombre d'électrons (chargés négativement) est égal au nombre de protons (chargés positivement).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]