2014年华约数学试题的模式有了较大的转变,为7个解答题,但是试卷的知识构成没有大的区别.试题充分体现了这些偏理工类高校对数学严谨推理能力的考查,又巧妙寻求到高考和自招的契合,让部分试题贴近高考,又适当存留部分高于高考难度.本文就试题中的第5题解法和题源进行探究. There is no big difference in the knowledge structure of the papers between 2014 and 2014. The questions fully reflect the examination of the rigorous reasoning ability of maths in these schools, To the college entrance examination and self-recruit fit, so that part of the test close to the college entrance examination, but also appropriate to retain part of the difficulty of the college entrance examination.This article on the test questions in the fifth solution and explore the source.