Quiz Maths : 2ème année Secondaire — Contrôle 2-5

Question 1 sur 10 10:00

[{"id":55371,"question":"Quelle est la solution de l'équation 3x - 5 = 7 ?","option_a":"x = 4","option_b":"x = 12\/3","option_c":"x = 2","option_d":"x = 4\/3","option_e":"","option_f":"","bonne_reponse":"A","explication":"3x - 5 = 7 → 3x = 12 → x = 4. Il faut isoler x en ajoutant 5 puis en divisant par 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":55372,"question":"Le théorème de Pythagore s'applique uniquement aux triangles rectangles.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le théorème de Pythagore est valable uniquement pour les triangles rectangles, où le carré de l'hypoténuse est égal à la somme des carrés des deux autres côtés.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":55373,"question":"Quelle est la forme canonique de la fonction f(x) = x² - 6x + 10 ?","option_a":"f(x) = (x - 3)² + 1","option_b":"f(x) = (x - 6)² + 10","option_c":"f(x) = x² - 6(x + 1)","option_d":"f(x) = (x + 3)² - 1","option_e":"","option_f":"","bonne_reponse":"A","explication":"La forme canonique s'obtient en complétant le carré : f(x) = (x² - 6x + 9) + 1 = (x - 3)² + 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":55374,"question":"Si un triangle a des côtés de longueurs 3, 4 et 5 cm, alors il est rectangle.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"5² = 3² + 4² → 25 = 9 + 16 → 25 = 25. Le triangle est donc rectangle d'après le théorème de Pythagore.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":55375,"question":"Quelle est la solution de l'inéquation 2x + 3 \u003E 7 ?","option_a":"x \u003E 2","option_b":"x \u003E 5","option_c":"x \u003C 2","option_d":"x \u003C 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"2x + 3 \u003E 7 → 2x \u003E 4 → x \u003E 2. L'inégalité change de sens si on multiplie ou divise par un nombre négatif.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":55376,"question":"La fonction f(x) = -2x + 5 est-elle croissante ou décroissante ?","option_a":"Croissante","option_b":"Décroissante","option_c":"Constante","option_d":"Non définie","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le coefficient directeur est -2 (négatif), donc la fonction est décroissante sur ℝ.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":55377,"question":"Un parallélogramme a des diagonales qui se coupent en leur milieu.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est une propriété fondamentale des parallélogrammes : leurs diagonales se bisectent.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":55378,"question":"Quelle est la valeur de x dans l'équation x² - 9 = 0 ?","option_a":"x = 3","option_b":"x = -3","option_c":"x = 3 ou x = -3","option_d":"x = 9","option_e":"","option_f":"","bonne_reponse":"C","explication":"x² - 9 = 0 → x² = 9 → x = 3 ou x = -3. Une équation du second degré a deux solutions.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":55379,"question":"Le périmètre d'un cercle de rayon r est donné par la formule P = 2πr.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"La formule du périmètre (circonférence) d'un cercle est bien P = 2πr.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":55380,"question":"Quelle est l'image de -1 par la fonction f(x) = 3x² - 2x + 1 ?","option_a":"f(-1) = 6","option_b":"f(-1) = 0","option_c":"f(-1) = 4","option_d":"f(-1) = -6","option_e":"","option_f":"","bonne_reponse":"A","explication":"f(-1) = 3(-1)² - 2(-1) + 1 = 3 + 2 + 1 = 6. Il faut remplacer x par -1 dans l'expression de la fonction.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]