2008年北京大学自主招生数学试题学生反映比较难.大部分试题有竞赛题的味道,特别是理科的最后一题,需要用到高等数学知识,无论对学生数学学习的深度和广度都有较高要求.图11·求证:如图1,边长为1的正五边形对角线长为52+1.略解三角形ABE∽三角形DAE,则x1=1x-x,x=52-1,对角线AC= 2008 Peking University self-enrollment math test students more difficult to reflect.Most of the questions have the taste of competitions, especially the last question of science, the need to use advanced knowledge of mathematics, regardless of the depth and breadth of student mathematics learning are higher Figure 11 · Proof: As shown in Figure 1, the length of a regular pentagon with a length of 1 is 52 + 1. The triangle DAE of a triangle ABE is slightly solved, then x1 = 1x-x, x = 52-1, Angular line AC =