2013 AMC 8 第 6 题

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所有题目均经美国数学协会(MAA)官方合法授权使用。

6.

下方每个框中的数是它上方一行中与它相接的两个框中数字的乘积。例如,30=6×530 = 6\times5

顶行缺失的数是多少?

The number in each box below is the product of the numbers in the two boxes that touch it in the row above. For example, 30=6×5.30 = 6\times5.

What is the missing number in the top row?

22

33

44

55

66

答案:C
知识点:逆推法
难度评级:820
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文字解答:

第二行两个数的乘积是 600600,所以第二行右侧缺失的数是 600÷30=20600 \div 30 = 20

现在知道 55 与第一行缺失数的乘积为 2020。因此缺失数是 20÷5=420 \div 5 = 4

所以正确答案是 C

The product of the numbers in the second row is 600,600, so the missing number in the middle right box is 600÷30=20.600 \div 30 = 20.

Now we know that the product of 55 and the missing number in the first row is 20.20. Therefore, the missing number is 20÷5=4.20 \div 5 = 4.

Thus, C is the correct answer.

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