2015年北京大学自主招生试题第3题为:已知|x~2+px+q|≤2对x∈[1,5]成立,则不超过(p~2+q~2)~(1/2)的最大整数是__.文[1]从两个角度对这道试题进行了深入解析:一是转化成函数f(x)=x~2+px+q在[1,5]上的最值问题;二是灵活地对x赋值.读完之后,笔者深受 In 2015 Peking University self-enrollment test question 3 is: Knowing that | x ~ 2 + px + q | ≤2 holds true for x∈ [1,5], it does not exceed (p ~ 2 + q ~ 2) 1/2] is the largest integer is __. [1] This article from two angles in-depth analysis of this question: First, into the function f (x) = x ~ 2 + px + q in [1,5 ] On the value of the problem; the second is the flexibility to assign the value of x. After reading, the author by