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Openai/695d09e5-7848-8005-85a0-7c1e2c1cf8c2
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=== Assistant: 判斷「像不像台灣一年四季氣溫」,關鍵看 三件事: === 判斷「像不像台灣一年四季氣溫」,關鍵看 三件事: # 週期:一年 12 個月 # 最冷在 1 月左右、最熱在 7–8 月 # 溫度範圍: - 冬天約 15–17°C - 夏天約 28–30°C 題目中所有函數的角度都是 π(x−1)6\frac{\pi(x-1)}{6}6π(x−1) → 週期剛好是 12 個月,這點都合格 差別在「相位、正負號、振幅與中線」 ==== ### ==== * cos0=1\cos 0 = 1cos0=1,在 x = 1(月) 取極值 * 若前面是 負號: → 1 月是最低溫 → 7 月(cosπ=−1\cos \pi = -1cosπ=−1)是最高溫 ✅ 完全符合台灣氣候 ==== ### ==== * 最低溫:22−6=16∘C22-6=16^\circ C22−6=16∘C(冬天 ✔) * 最高溫:22+6=28∘C22+6=28^\circ C22+6=28∘C(夏天 ✔) * 1 月冷、7 月熱 ✔ 👉 幾乎完美符合台灣年均溫走勢 ===== - (1)(2):振幅太小,冬夏溫差不夠 ===== * (3):sin 型,極值月份不對 * (5):夏天飆到 37°C,全年均溫過高 ==== (4) ==== 這題本質是在考 👉「三角函數的相位+實際情境判斷」, 不是單純代值算數。
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