[中學] |x-1|+2|x-3|+3|x-3|+...+10|x-10|
問 |x-1| + 2|x-3| + 3|x-3| + ... + 10|x-10| 有最小值時 x 為何?
我知道 |x-1| + |x-2| 有最小值時 x 為何,
我也知道 |x-1| + |x-2| + |x-3| 有最小值時 x 為何,
以絕對值的幾何觀點來說,奇數項最小值產生在中間點,
偶數項的最小值產生在中間那兩點的範圍中,都算。
可是如一開始所問的那個,怎麼用同樣的幾何觀點來解釋、來了解?
感謝大家
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※ 編輯: alfadick 來自: 114.25.22.220 (09/06 12:29)
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