Quiz interactif : Mathématiques 3ème année secondaire — Tome 1

Question 1 sur 10 10:00

[{"id":32918,"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 = 3","option_e":"","option_f":"","bonne_reponse":"B","explication":"3x - 5 = 10 → 3x = 15 → x = 15\/3 = 5. La solution est donc x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":32919,"question":"Le théorème de Pythagore s'applique-t-il à tous les triangles ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le théorème de Pythagore ne s'applique qu'aux triangles rectangles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":32920,"question":"Quelle est la forme canonique de la fonction f(x) = x² - 6x + 8 ?","option_a":"f(x) = (x - 3)² - 1","option_b":"f(x) = (x - 2)² + 4","option_c":"f(x) = (x - 4)² - 2","option_d":"f(x) = (x + 3)² - 1","option_e":"","option_f":"","bonne_reponse":"A","explication":"f(x) = x² - 6x + 8 = (x² - 6x + 9) - 1 = (x - 3)² - 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":32921,"question":"Si sin(θ) = 3\/5, alors cos(θ) est égal à :","option_a":"4\/5","option_b":"2\/5","option_c":"1\/5","option_d":"√(1 - (3\/5)²)","option_e":"","option_f":"","bonne_reponse":"D","explication":"D'après l'identité sin²(θ) + cos²(θ) = 1, on a cos(θ) = √(1 - (3\/5)²) = √(16\/25) = 4\/5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":32922,"question":"Une fonction affine est toujours représentée par une droite parallèle à l'axe des abscisses.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Une fonction affine est représentée par une droite, mais elle n'est parallèle à l'axe des abscisses que si son coefficient directeur est nul (fonction constante).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":32923,"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 \u003E -2","option_d":"x \u003C 2","option_e":"","option_f":"","bonne_reponse":"B","explication":"2x + 3 \u003E 7 → 2x \u003E 4 → x \u003E 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":32924,"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":"Le produit des deux autres côtés","option_c":"La différence des carrés des deux autres côtés","option_d":"Le carré de la somme des deux autres côtés","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est l'énoncé du théorème de Pythagore : hypoténuse² = côté1² + côté2².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":32925,"question":"La fonction f(x) = -2x + 5 est-elle croissante ou décroissante ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le coefficient directeur est -2 (négatif), donc la fonction est décroissante.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":32926,"question":"Quelle est la valeur de x dans 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":"x² - 4x + 4 = (x - 2)² = 0 → x = 2 (solution double).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":32927,"question":"Le produit de deux nombres négatifs est toujours positif.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Exemple : (-3) × (-4) = 12 (positif). La règle est donc vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]