2013 AMC 12B 第 1 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。

1.

在一月的某一天,内布拉斯加州 Lincoln 的最高气温比最低气温高 1616 度,最高气温与最低气温的平均值是 33^\circ。这一天 Lincoln 的最低气温是多少度?

On a particular January day, the high temperature in Lincoln, Nebraska, was 1616 degrees higher than the low temperature, and the average of the high and low temperatures was 3.3^\circ. In degrees, what was the low temperature in Lincoln that day?

13-13

8-8

5-5

3-3

1111

答案:C
知识点:平均数一次方程
难度评级:920
解答:

最高气温比最低气温高 1616,所以最低气温比平均值低 88。平均值为 33^\circ,因此最低气温为 38=53 - 8 = -5^\circ。所以正确答案是 C

The high exceeds the low by 16,16, so the low is 88 below the average. Since the average is 3,3^\circ, the low temperature is 38=5.3 - 8 = -5^\circ. Thus, the correct answer is C.

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