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極值》 |
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範例 47:從力學觀點來看費瑪點 |
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如何從力學觀點求得三頂點距離最小的點?
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《 解答 》 |
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何時最小?
以A、B、C都是銳角來說明,假想A、B、C是桌面上的三個點,從一個三結繩各懸一公斤的物體,

三繩結於Q點,由於繩長固定,因此當 最小時,垂下的部分最長,位能最小,而達到平衡。
平衡時在Q點有三個各一公斤的力,大小相等,合力為零,因此彼此之間的夾角是 。
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About This
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