例1(陕西省2012年25题)如图,正三角形ABC的边长为3+3～(1/2).(1)如图1①,正方形EFPN的顶点E、F在边AB上,顶点N在边AC上.在正三角形ABC及其内部,以A为位似中心,作正方形EFPN的位似正方形E′F′P′N′,且使正方形E′F′P′N′的面积最大(不要求写作法);(2)求(1)中作出的正方形E′F′P′N′的边长; Example 1 (Shaanxi Provincial Question 25, 2012) As shown in the figure, the side length of the equilateral triangle ABC is 3 + 3 ~ (1/2). (1) As shown in Figure 1①, the vertices E and F of the square EFPN are on the side AB, N is on the side AC. In the equilateral triangle ABC and its interior, a bit-like square E’F’P’N ’of square EFPN with A as a bit centered, and the area of ​​the square E’F’P’N’ Maximum (not required for writing); (2) find the side of the square E’F’P’N ’made in (1)