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作者 bulcas 在 PTT [ LawBasketbal ] 看板的留言(推文), 共24則
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[轉錄][無言] 平行線相交於無窮遠處!?
[ LawBasketbal ]6 留言, 推噓總分: +3
作者: chris83810 - 發表於 2009/06/17 23:28(15年前)
42Fbulcas:平行線相交於無窮遠處是平行線定義吧 我高中是這樣念的06/14 21:44
302Fbulcas:相交於無窮遠是定義 定義是理論的基礎 為什麼要拿理論質疑06/15 09:39
303Fbulcas:定義??06/15 09:40
328Fbulcas:其實以直觀上看 若兩線之間有一夾角 則在一有限值06/15 11:13
329Fbulcas:處 兩線會相交 若此有限值在無窮遠處 也就是06/15 11:15
330Fbulcas:若另相交處的值為x 則若 lim x->無限大 則可推得06/15 11:15
331Fbulcas:兩線之間夾角趨近於006/15 11:16
332Fbulcas:但是了解說及容易明白 故把極限的部份簡化06/15 11:17
333Fbulcas:這樣就變成所謂 平行兩直線相交於無窮遠處 了06/15 11:18
335Fbulcas:而在國中階段 就更簡化為 平行兩直線不相交了06/15 11:21
341Fbulcas:我用極限是為了方便表達 請不要拘泥於此 這用直觀也可以得06/15 11:33
342Fbulcas:到06/15 11:33
345Fbulcas:永不為零 那不就代表必會相交??06/15 11:36
361Fbulcas:先畫兩條相交的線A.B 然後在做A平行線 將他平移06/15 12:08
363Fbulcas:也就是 =\=這樣的形式 你把斜線向上旋轉 使之跟06/15 12:10
364Fbulcas:另2條平行線平行 你有沒有發現 交點會往右移06/15 12:11
365Fbulcas:當3線趨近於互相平行時 那個交點是不是移動到無窮遠的右邊?06/15 12:12
366Fbulcas:我要表達的就是這個06/15 12:12
372Fbulcas:這就是啦 平行線事實上是在無窮遠處相交 不過無窮遠處不06/15 12:16
374Fbulcas:知道是在哪個點06/15 12:17
583Fbulcas:我只是把以前從書上學到的說出來討論而已 我又沒說V大錯06/17 01:42
584Fbulcas:V大妳戰我幹嘛?? 搞不清楚耶06/17 01:43
585Fbulcas:一堆人都學這樣 你要說他們都是錯的??06/17 01:43
586Fbulcas:同一件事 相同內涵 敘述方法不同而已 何必這樣?06/17 01:45
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