Quiz Mathématiques Seconde : Algèbre et Géométrie

Question 1 sur 10 10:00

[{"id":54481,"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 = 15","option_e":"","option_f":"","bonne_reponse":"A","explication":"3x - 5 = 10 → 3x = 15 → x = 5. La solution est x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":54482,"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":54483,"question":"Quelle est la forme factorisée de 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":"x² - 9 est une différence de carrés : (x - 3)(x + 3).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":54484,"question":"Si deux droites sont parallèles, alors leurs coefficients directeurs sont :","option_a":"égaux","option_b":"opposés","option_c":"inverses","option_d":"nuls","option_e":"","option_f":"","bonne_reponse":"A","explication":"Deux droites parallèles ont le même coefficient directeur.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":54485,"question":"L'inéquation 2x + 3 \u003E 7 a pour solution :","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":"B","explication":"2x + 3 \u003E 7 → 2x \u003E 4 → x \u003E 2. La solution est x \u003E 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":54486,"question":"Le triangle ABC est rectangle en A. Si AB = 3 et AC = 4, alors BC = ?","option_a":"5","option_b":"7","option_c":"12","option_d":"25","option_e":"","option_f":"","bonne_reponse":"A","explication":"D'après le théorème de Pythagore : BC² = AB² + AC² = 9 + 16 = 25 → BC = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":54487,"question":"La factorisation de 4x² - 12x + 9 est :","option_a":"(2x - 3)²","option_b":"(2x + 3)²","option_c":"(4x - 3)(x - 3)","option_d":"(2x - 3)(2x + 3)","option_e":"","option_f":"","bonne_reponse":"A","explication":"4x² - 12x + 9 est un carré parfait : (2x - 3)².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":54488,"question":"Deux angles opposés par le sommet sont toujours :","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Deux angles opposés par le sommet sont toujours égaux.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":54489,"question":"Quelle est la solution de l'inéquation -2x + 5 ≤ 1 ?","option_a":"x ≥ 2","option_b":"x ≤ 2","option_c":"x ≥ -2","option_d":"x ≤ -2","option_e":"","option_f":"","bonne_reponse":"B","explication":"-2x + 5 ≤ 1 → -2x ≤ -4 → x ≥ 2 (en divisant par un nombre négatif, le sens de l'inégalité change).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":54490,"question":"Le périmètre d'un carré de côté c est égal à :","option_a":"c²","option_b":"4c","option_c":"2c","option_d":"c + 4","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le périmètre d'un carré est la somme de ses côtés : 4 × c = 4c.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]