问题描述：

        使用python书写代码实现以下功能：给定四个点的坐标，调用一个函数，可以使原来的四个点分别向四周上下左右移动15距离，分别记录下移动后的坐标，然后画出内侧矩形和外侧矩形

代码： 

import matplotlib.pyplot as pltdef move_points(points, distance=15):"""移动给定的四个点，分别向上下左右移动指定的距离。Parameters:points (list of tuples): 四个点的坐标 [(x1, y1), (x2, y2), (x3, y3), (x4, y4)]distance (int): 移动的距离Returns:dict: 包含移动后坐标的字典"""moved_points = {'up': [(x, y + distance) for x, y in points],'down': [(x, y - distance) for x, y in points],'left': [(x - distance, y) for x, y in points],'right': [(x + distance, y) for x, y in points]}return moved_pointsdef plot_rectangles(original_points, moved_points):"""绘制原始矩形和移动后的矩形。Parameters:original_points (list of tuples): 原始的四个点的坐标moved_points (dict): 移动后的点的坐标字典"""fig, ax = plt.subplots()# 原始矩形original_rect = plt.Polygon(original_points, closed=True, fill=None, edgecolor='b', label='Original')ax.add_patch(original_rect)# 移动后的矩形（上下左右分别画出）for direction, points in moved_points.items():moved_rect = plt.Polygon(points, closed=True, fill=None, edgecolor='r', linestyle='--', label=f'Moved {direction}')ax.add_patch(moved_rect)# 设置轴的范围all_points = original_points + [point for points in moved_points.values() for point in points]all_x = [p[0] for p in all_points]all_y = [p[1] for p in all_points]ax.set_xlim(min(all_x) - 10, max(all_x) + 10)ax.set_ylim(min(all_y) - 10, max(all_y) + 10)plt.xlabel('X')plt.ylabel('Y')plt.legend()plt.title('Original and Moved Rectangles')plt.show()# 主程序
original_points = [(10, 10), (30, 10), (30, 30), (10, 30)]# 移动点
moved_points = move_points(original_points)# 绘制矩形
plot_rectangles(original_points, moved_points)

效果：

问题描述：

使用python书写代码实现以下功能：已知给定四个点的坐标，通过调用一个函数，可以使原来的四个点分别向四周上下左右移动15距离，分别记录下移动后的坐标，然后以最外侧的点绘制成一个矩形，内侧的点绘成另外一个矩形，同时保留原来的坐标围成的矩形 

代码：

import matplotlib.pyplot as pltdef move_points(points, distance=15):"""移动给定的四个点，分别向上下左右移动指定的距离。Parameters:points (list of tuples): 四个点的坐标 [(x1, y1), (x2, y2), (x3, y3), (x4, y4)]distance (int): 移动的距离Returns:dict: 包含移动后坐标的字典"""moved_points = {'up': [(x, y + distance) for x, y in points],'down': [(x, y - distance) for x, y in points],'left': [(x - distance, y) for x, y in points],'right': [(x + distance, y) for x, y in points]}return moved_pointsdef get_outermost_and_innermost_points(points_dict):"""获取最外侧和最内侧的点。Parameters:points_dict (dict): 移动后的点的坐标字典Returns:tuple: (最外侧点, 最内侧点)"""all_points = [point for points in points_dict.values() for point in points]xs, ys = zip(*all_points)outermost_points = [(min(xs), min(ys)), (max(xs), min(ys)), (max(xs), max(ys)), (min(xs), max(ys))]innermost_points = [(min(xs), max(ys)), (max(xs), max(ys)), (max(xs), min(ys)), (min(xs), min(ys))]return outermost_points, innermost_pointsdef plot_rectangles(original_points, outermost_points, innermost_points):"""绘制最外侧矩形、最内侧矩形和原始矩形。Parameters:original_points (list of tuples): 原始的四个点的坐标outermost_points (list of tuples): 最外侧的四个点的坐标innermost_points (list of tuples): 最内侧的四个点的坐标"""fig, ax = plt.subplots()# 原始矩形original_rect = plt.Polygon(original_points, closed=True, fill=None, edgecolor='g', label='Original')ax.add_patch(original_rect)# 最外侧矩形outer_rect = plt.Polygon(outermost_points, closed=True, fill=None, edgecolor='b', label='Outermost')ax.add_patch(outer_rect)# 最内侧矩形inner_rect = plt.Polygon(innermost_points, closed=True, fill=None, edgecolor='r', linestyle='--', label='Innermost')ax.add_patch(inner_rect)# 设置轴的范围all_points = original_points + outermost_points + innermost_pointsall_x = [p[0] for p in all_points]all_y = [p[1] for p in all_points]ax.set_xlim(min(all_x) - 10, max(all_x) + 10)ax.set_ylim(min(all_y) - 10, max(all_y) + 10)plt.xlabel('X')plt.ylabel('Y')plt.legend()plt.title('Original, Outermost, and Innermost Rectangles')plt.show()# 主程序
original_points = [(10, 10), (30, 10), (30, 30), (10, 30)]# 移动点
moved_points = move_points(original_points)# 获取最外侧和最内侧的点
outermost_points, innermost_points = get_outermost_and_innermost_points(moved_points)# 绘制矩形
plot_rectangles(original_points, outermost_points, innermost_points)

效果：