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1.问题由来笔者在研究近几年高考题时发现,有关绝对值和型函数的最值问题是命题的热点之一,例如:题目1(2014年高考安徽理科卷第9题)若函数f(x)=|x+1|+|2x+a|的最小值为3,则实数a的值为().A.5或8 B.-1或5 C.-1或-4 D.-4或8题目2(2014年高考福建卷理科第21题)已知定义在R上的函数f(x)=|x+1|+|x-2|的最小值为a.
1. The origin of the problem I study in recent years college entrance examination questions found that the absolute value and type function of the most value issue is one of the hot topics, for example: Question 1 (2014 college entrance examination Anhui Science Volume 9) If the function f the value of the real number a is () .A.5 or 8 B.-1 or 5 C.-1 or -4 D. The minimum value of (x) = | x + 1 | + | 2x + a | -4 or 8 Problem 2 (2014 Entrance Examination, Fujian Scrolls Section 21) It is known that the minimum value of the function f (x) = | x + 1 | + | x-2 | defined on R is a.