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On a certain number line, if -7 is a distance 4 from n and 7 is a distance of 18
On a certain number line, if -7 is a distance 4 from n and 7 is a distance of 18
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2025-02-24
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问题
On a certain number line, if -7 is a distance 4 from n and 7 is a distance of 18 from n then n =?
选项
A、25
B、11
C、3
D、-3
E、-11
答案
E
解析
在某一数轴(number line)上,假如-7与n的距离是4,且7与n的距离是18,问n等于多少?
解:本题的正确答案是(E)。涉及数轴上的两个数距离问题,要用到绝对值的概念。由题义可得:根据第一个条件,n=-11或-3;根据第二个条件,n=-11或25;所以n=-11。考生在解答此类题目时,一定要注意下面这句话的确切含义:
(1)7 is a distance of 4 from n.
(2)7 is the distance of 4 from n.
上面第一句话用了不定冠词,应理解为7与n之间的距离是4;第二句话用了定冠词,应理解为7是4和n之间的距离。
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