class Point: # 构造方法，初始化，定义向量坐标 def __init__(self, x, y): self.__x = x self.__y = y # 向量加法，对应分量相加，返回新向量 def __add__(self, other): x = self.__x + other.__x y = self.__y + other.__y return Point(x, y) # 向量减法，对应分量相减，返回新向量 def __sub__(self, other): x = self.__x - other.__x y = self.__y - other.__y return Point(x, y) # 向量乘法，各分量乘以同一个数字，返回新向量 def __mul__(self, a): x = self.__x * a y = self.__y * a return Point(x, y) def __truediv__(self, a): x = self.__x / a y = self.__y / a return Point(x, y) # 若没有这串代码输出的是对象的地址，而不是向量坐标 def show(self): return(self.__x, self.__y) r1 = Point(10, 20) r2 = Point(5, 5) print(r1+r2.show()) print(r1-r2.show()) print((r1*2).show()) print((r1/2).show())错误并改正

错误：在向量加法、向量减法、向量乘法和向量除法的运算中，调用了另一个向量对象的show()方法，导致输出结果不是向量坐标。

改正：在向量加法、向量减法、向量乘法和向量除法的运算中，直接使用另一个向量对象的坐标进行运算即可。

修改后的代码如下：

class Point:
    def __init__(self, x, y):
        self.__x = x
        self.__y = y

    def __add__(self, other):
        x = self.__x + other.__x
        y = self.__y + other.__y
        return Point(x, y)

    def __sub__(self, other):
        x = self.__x - other.__x
        y = self.__y - other.__y
        return Point(x, y)

    def __mul__(self, a):
        x = self.__x * a
        y = self.__y * a
        return Point(x, y)

    def __truediv__(self, a):
        x = self.__x / a
        y = self.__y / a
        return Point(x, y)

    def show(self):
        return (self.__x, self.__y)

r1 = Point(10, 20)
r2 = Point(5, 5)
print((r1+r2).show())
print((r1-r2).show())
print((r1*2).show())
print((r1/2).show())