【悦趣】30个经典奥数问题-7牛吃草问题

定义

牛吃草问题:牛吃草问题是指在草不停生长的情况下,不同数量的牛用不同的时间把草吃完的问题。

方法

(1)三个不变量:牧场上原有的草量不变、每头牛每天的吃草量不变、牧场上每天新增草量不变。
(2)在求出“每天新生长的草量”和“原有草量”后,
已知头数求时间:
草生:原有草量÷吃老草的牛(总牛数-吃新草牛数)=天数
草死:原有草量÷每天实际减少的草量(吃的+冻死的)=天数
(3)已知天数求只数:(老草+新草)÷天数=只数。

经典例题

例题一

《【悦趣】30个经典奥数问题-7牛吃草问题》

例题二

《【悦趣】30个经典奥数问题-7牛吃草问题》

例题三

《【悦趣】30个经典奥数问题-7牛吃草问题》

例题四

《【悦趣】30个经典奥数问题-7牛吃草问题》

例题五

《【悦趣】30个经典奥数问题-7牛吃草问题》

例题六

《【悦趣】30个经典奥数问题-7牛吃草问题》
《【悦趣】30个经典奥数问题-7牛吃草问题》

例题七

《【悦趣】30个经典奥数问题-7牛吃草问题》

视频讲解

例题一

例题二

例题三

例题四

例题五

例题六

例题七

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