On a certain number line, if 8 is distance of 18 from n, and 17 is he distance of 9 from n, then which of the following could be

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问题 On a certain number line, if 8 is distance of 18 from n, and 17 is he distance of 9 from n, then which of the following could be n?

选项 A、-10
B、8
C、18
D、-18
E、26

答案E

解析 本题中我们首先需要注意8 is a distance of 18 from n,and 17 is the distance of 9 from n两句话的意思区别。8 is a distance of 18 from n,这句话中使用的是不定冠词a,表达的是8和n之间的距离是18,而不是18和n之间的距离是8;17 is the distance of 9 from n。这句话中使用的是定冠词the,就一个词的区别,表达完全不同的意思,即17是9和n之间的距离。根据题意得到:
|n-8|=18,得到n=-10 or n=26;
|n-9|=17,得到n=-8 or n=26;
所以n=26,E为正确答案。
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