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15问答网 > 假设法奥数题:南方果店运进苹果和雪梨一共1626千克,每箱苹果有18千克,每箱雪梨有24千克,苹果比雪梨多11箱

假设法奥数题:南方果店运进苹果和雪梨一共1626千克,每箱苹果有18千克,每箱雪梨有24千克,苹果比雪梨多11箱

2025-04-03 03:51:36

推荐回答（2个）

回答1：

设雪梨为X箱，则18*（X+11）+24*X=1626，解得X=34，则苹果为34+11=45
设损坏了X件，则有1.2*（2000-X）-6.7*X=2005，解得X=50

其实你从方程式变换过程中就可以知道是如何假设的。比如题目2，假设全部都没坏的，则有1.2*2000=2400的运费，但实际上只有2005，即损失金额（等于运费+赔偿金）为2400-2005=395，所以损坏的数量为395/（1.2+6.7）=50.
所以方程只是直观的列式，求解过程就是假设的过程。

回答2：

设雪梨有X箱,则苹果有X+11箱,然后 18*(x+11)+24*X=1626,

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