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SAT官方每日一题附答案和解析[数学](2015年10月25日)
日期:2015-10-25 20:20

(单词翻译:单击)

每日一题

Mathematics>Standard Multiple Choice

Read the following SAT test question and then click on a button to select your answer.

In triangle ABC, the length of side line BC is 2 and the length of side line AC is 12. Which of the following could be the length of side line AB?

(A) 6
(B) 8
(C) 10
(D) 12
(E) 14

答案和解析

答案:D

解析:

By the Triangle Inequality, the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side. Therefore, BC + AB greater than AC, or 2 + AB greater than 12. Thus, AB greater than 10, which eliminates options (A), (B), and (C). Also by the Triangle Inequality, BC + AC greater than AB, or 14 greater than AB, which eliminates choice (E). Therefore, of the given choices, only choice (D), 12, could be the length of side line AB.

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重点单词
  • trianglen. 三角(形)
  • multipleadj. 许多,多种多样的 n. 倍数,并联
  • inequalityn. 不平等,不平均,差异,多变性,不等式