Quiz — ct24M0809.pdf

Question 1 sur 10 20:00

[{"id":37990,"question":"Quelle est la solution de l'équation 3x - 5 = 7 ?","option_a":"x = 4","option_b":"x = 12","option_c":"x = 2","option_d":"x = -2","option_e":"","option_f":"","bonne_reponse":"a","explication":"3x - 5 = 7 → 3x = 12 → x = 4. Cette équation illustre la résolution d'une équation du premier degré.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"x = 4\", \"b\": \"x = 12\", \"c\": \"x = 2\", \"d\": \"x = -2\"}}","_debug_options_count":4},{"id":37991,"question":"Dans un triangle rectangle, si les côtés de l'angle droit mesurent 3 cm et 4 cm, quelle est la longueur de l'hypoténuse ?","option_a":"5 cm","option_b":"6 cm","option_c":"7 cm","option_d":"8 cm","option_e":"","option_f":"","bonne_reponse":"a","explication":"D'après le théorème de Pythagore : 3² + 4² = 9 + 16 = 25 → hypoténuse = √25 = 5 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"5 cm\", \"b\": \"6 cm\", \"c\": \"7 cm\", \"d\": \"8 cm\"}}","_debug_options_count":4},{"id":37992,"question":"La fonction f(x) = 2x + 1 est-elle une fonction linéaire ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Une fonction linéaire s'écrit sous la forme f(x) = ax. Ici, f(x) = 2x + 1 est affine, mais pas linéaire (car +1).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":37993,"question":"Quelle est l'image de -2 par la fonction f(x) = -3x + 4 ?","option_a":"f(-2) = 10","option_b":"f(-2) = -2","option_c":"f(-2) = -10","option_d":"f(-2) = 2","option_e":"","option_f":"","bonne_reponse":"a","explication":"f(-2) = -3*(-2) + 4 = 6 + 4 = 10. Cette question teste la compréhension de l'image d'une fonction.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"f(-2) = 10\", \"b\": \"f(-2) = -2\", \"c\": \"f(-2) = -10\", \"d\": \"f(-2) =","_debug_options_count":4},{"id":37994,"question":"Dans un triangle isocèle, les angles à la base sont toujours égaux.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Par définition, un triangle isocèle a deux côtés égaux et les angles opposés à ces côtés sont égaux.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":37995,"question":"Quelle est la solution de l'équation 2(x + 3) = 4x - 2 ?","option_a":"x = 4","option_b":"x = 2","option_c":"x = -2","option_d":"x = 1","option_e":"","option_f":"","bonne_reponse":"b","explication":"2x + 6 = 4x - 2 → 6 + 2 = 4x - 2x → 8 = 2x → x = 4. Cette équation combine développement et résolution.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"x = 4\", \"b\": \"x = 2\", \"c\": \"x = -2\", \"d\": \"x = 1\"}}","_debug_options_count":4},{"id":37996,"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. Pour les autres triangles, on utilise d'autres propriétés.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":37997,"question":"Quelle est la pente de la droite d'équation y = -5x + 3 ?","option_a":"-5","option_b":"3","option_c":"5","option_d":"-3","option_e":"","option_f":"","bonne_reponse":"a","explication":"La pente d'une droite d'équation y = ax + b est égale à a. Ici, a = -5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"-5\", \"b\": \"3\", \"c\": \"5\", \"d\": \"-3\"}}","_debug_options_count":4},{"id":37998,"question":"Si un angle d'un triangle mesure 60° et un autre 50°, quelle est la mesure du troisième angle ?","option_a":"70°","option_b":"50°","option_c":"60°","option_d":"80°","option_e":"","option_f":"","bonne_reponse":"a","explication":"La somme des angles d'un triangle est 180°. 180° - 60° - 50° = 70°.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"70°\", \"b\": \"50°\", \"c\": \"60°\", \"d\": \"80°\"}}","_debug_options_count":4},{"id":37999,"question":"La fonction f(x) = x² est-elle une fonction linéaire ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Une fonction linéaire a une représentation graphique en droite passant par l'origine. f(x) = x² est une fonction du second degré.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4}]