正方形的有关问题在中考中经常涉及,常见的几个题型有:一、作图题例1已知平面内一正方形ABCD,在平面内找一点,使它与正方形各边构成等腰三角形,指出所有符合条件的点。作法:分别以正方形的四条边为一边,做等边三角形,则这一边所对的定点共有8个,连结对角线,取交点,共9个满足条件的点。依据:由图1可以看出,等边三角形的边长等于正方形的边长,再由对称性可知,共有8个顶点满足题意,由正方形的性质,对角线的交 The problems of the square are often involved in the senior high school entrance examination, a few common questions are: First, the drawing example 1 Known plane a square ABCD, find a little in the plane, so that it forms an isosceles triangle with the sides of the square, Point out all the points that meet the criteria. Practice: respectively, with one side of the square of four sides, making equilateral triangles, then this side of the fixed point of a total of eight, connecting the diagonal, take the intersection, a total of nine points to meet the conditions. According to: As can be seen from Figure 1, the side of the equilateral triangle is equal to the length of the side of the square, and then from the symmetry, we can see a total of eight vertices to meet the questions, by the nature of the square, the intersection of the diagonal