Re: [心情] 關於數學基測的火大
看板CS_TEACHER作者allenpatrick (深刻的傷痕淡淡的痛 )時間15年前 (2009/06/10 02:17)推噓7(7推 0噓 24→)留言31則, 5人參與討論串17/18 (看更多)
※ 引述《sujj (老人)》之銘言：
: 依題義平均分配給23個學生時最少剩3片
: 表示當把餅乾分完時的情況就是剩三片
: 故就像前面很多版有所講的情況
: 並不會出現4片5片....的情況
: 有些板友所寫之情境看似合理
: 但已不符合題義....
: 不過若題目改成平均分配完後恰好剩3片
: 這樣還會有人有爭議嗎 ?????
這所謂的爭議題不是和國一下不等式分班或分房間的題目一樣嗎
分給23名學生最少剩3片 "最少"不就要想到不等式嗎
假設餅乾一包y片 每人分得x片 x和y為正整數
你可以寫成23x+3≦y≦23x+22或23x+3≦y＜23(x+1)
用後面那個 10(23x+3)≦10y＜230(x+1) → 230x+30≦10y＜230(x+1)
→ 23(10x+1)+7≦10y＜230(x+1) 所以最少剩7片
這也是為什麼他們在討論除法原理和餘式定理啊
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