用一元二次方程可解决的实际问题很多,常见题型有:1.几何类问题解决这类问题要借助几何直观加以分析,并注意有关公式的应用.例1如图1,已知线段AB的长为a,以AB为边在AB的下方作正方形ACDB.取AB边上一点E,以AE为边在AB的上方作正方形AENM.过点E作EF⊥CD,垂足为F.若正方形AENM与四边形EFDB的面积相等,则AE With the quadratic equation can be solved a lot of practical problems, common questions are: 1. Geometrical problems to solve such problems to be analyzed with the help of geometric intuition, and pay attention to the application of the formula. Example 1 As shown in Figure 1, the known line AB Of the length of a, with AB as a side in the AB below the square for ACDB. Take AB on the edge of a point E, with AE as the edge in AB above the square AENM. E for EF ⊥ CD, foot drop F. If the Square AENM and quadrilateral EFDB equal area, then AE