题目如图1,Rt△ABC中,AB=4,AC=3,∠BAC=90°,→AP=mPB,→AQ=nQC,且满足111+=,M是BC的中点,对任意的λ∈R,mn2→|λQP+QM|的最小值记为f(m),则对于任意的m>0,f(m)的最大值为.本题是浙江省新阵地教育研究联盟2014届高三返校联考数学(理科)试题第17题(最后一道填空题),其得分率极低,许多班级的得分率为零.下面介绍笔者对这道试题的分析解答过程,供大家参考. The subject is shown in Figure 1. In Rt △ ABC, AB = 4, AC = 3, ∠BAC = 90 °, → AP = mPB, → AQ = nQC and satisfy 111 + =, M is the midpoint of BC, the maximum value of f (m) for any m> 0 is 2. This question is the third grade of 2014 of the Association for Education and Research in Zhejiang Province Back to school entrance exam mathematics (science) test question 17 (the last fill in the blank), the scoring rate is very low, many of the class’s scoring rate of zero. The following describes the author of this test question analysis process for your reference.