| {"id": "CAP_mathematics-102-23", "question": "判斷下列各式的值，何者最小？", "A": "$8 - (- \\frac{13}{29})^{20}$", "B": "$8 - (- \\frac{13}{29})^{17}$", "C": "$8 - (- \\frac{13}{29})^{11}$", "D": "$8 - (- \\frac{13}{29})^{14}$", "E": null, "F": null, "answer": "D", "explanation": "", "metadata": {"timestamp": "2023-10-29 01:58:12.626759", "source": "CAP_mathematics-102", "explanation_source": ""}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "CAP_mathematics-112-1", "question": "$(-3)^3$ 之值為何？", "A": "-27", "B": "9", "C": "27", "D": "-9", "E": null, "F": null, "answer": "A", "explanation": "", "metadata": {"timestamp": "2023-10-29 01:58:12.628968", "source": "CAP_mathematics-112", "explanation_source": ""}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "CAP_mathematics-111-22", "question": "已知坐標平面上有二次函數 $y=-(x+6)^2+5$ 的圖形，函數圖形與$x$ 軸相交 於 $(a,0)$ 、 $(b,0)$ 兩點，其中 $a<b$。今將此函數圖形往上平移，平移後函數形與$x$ 軸相交於 $(c,0)$ 、 $(d,0)$ 兩點，其中 $c<d$，判斷下列敘述何者正確？", "A": "$(a+b)=(c+d)$，$(b-a)>(d-c)$", "B": "$(a+b)<(c+d)$，$(b-a)<(d-c)$", "C": "$(a+b)=(c+d)$，$(b-a)<(d-c)$", "D": "$(a+b)<(c+d)$，$(b-a)>(d-c)$", "E": null, "F": null, "answer": "C", "explanation": "", "metadata": {"timestamp": "2023-10-29 01:58:12.628946", "source": "CAP_mathematics-111", "explanation_source": ""}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "CAP_mathematics-109-16", "question": "中秋節時阿柚製作的廣式月餅、蛋黃酥、鳳梨酥的數量比為 2:1:3 ,其中只有製作廣式月餅和蛋黃酥時使用鹹蛋黃。若阿柚製作每個廣式月餅時使用 2 顆鹹蛋黃，製作每個蛋黃酥時使用 1 顆鹹蛋黃，且總共使用 120 顆鹹蛋黃，則他製作了幾個鳳梨酥？", "A": "72", "B": "60", "C": "120", "D": "45", "E": null, "F": null, "answer": "A", "explanation": "", "metadata": {"timestamp": "2023-10-29 01:58:12.628434", "source": "CAP_mathematics-109", "explanation_source": ""}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "CAP_mathematics-105-6", "question": "多項式$77x^{2} −13x−30$可因式分解成$(7x+a)(bx+c)$，其中a、b、c均為 整數，求 a + b + c 之值為何?", "A": "22", "B": "0", "C": "12", "D": "10", "E": null, "F": null, "answer": "C", "explanation": "", "metadata": {"timestamp": "2023-10-29 01:58:12.627386", "source": "CAP_mathematics-105", "explanation_source": ""}, "human_evaluation": {"quality": "", "comments": ""}} | |