import numpy as np import matplotlib.pyplot as plt # 定义兔子和乌龟的速度函数 def rabbit_speed(x): # 兔子前半程：速度逐渐减小 return np.piecewise(x, [0 <= x, x < 5, x < 8, x < 10], [10, 8, 6, 4]) def turtle_speed(x): # 乌龟整程：速度保持不变 return np.piecewise(x, [0 <= x, x >= 0], [2, 2]) # 定义时间和距离的范围 t = np.linspace(0, 10, 1000) distance_rabbit = np.zeros(1000) distance_turtle = np.zeros(1000) # 计算兔子和乌龟在不同时间点的位移 for i in range(1, 1000): dt = t[i] - t[i-1] distance_rabbit[i] = distance_rabbit[i-1] + rabbit_speed(t[i]) * dt distance_turtle[i] = distance_turtle[i-1] + turtle_speed(t[i]) * dt # 绘制图像 plt.plot(t, distance_rabbit, label='rabbit') plt.plot(t, distance_turtle, label='turtle') plt.title('Race between Rabbit and Turtle') plt.xlabel('Time') plt.ylabel('Distance') plt.legend() plt.show()纠错

这段代码存在几个问题：

1.缺少缩进：在导入numpy和matplotlib模块后，需要在下一行进行缩进，否则会出现SyntaxError。

2.变量未定义：在计算兔子和乌龟的位移时，需要定义初始距离，否则会出现NameError。

3.循环范围错误：在计算兔子和乌龟的位移时，循环次数应该从0开始，否则会出现IndexError。

下面是修改后的代码：

import numpy as np 
import matplotlib.pyplot as plt  

# 定义兔子和乌龟的速度函数 
def rabbit_speed(x):     
    # 兔子前半程：速度逐渐减小     
    return np.piecewise(x, [0 <= x, x < 5, x < 8, x < 10], [10, 8, 6, 4])  

def turtle_speed(x):     
    # 乌龟整程：速度保持不变     
    return np.piecewise(x, [0 <= x, x >= 0], [2, 2])  

# 定义时间和距离的范围 
t = np.linspace(0, 10, 1000) 
distance_rabbit = np.zeros(1000) 
distance_turtle = np.zeros(1000) 

# 定义初始距离 
distance_rabbit[0] = 0 
distance_turtle[0] = 0 

# 计算兔子和乌龟在不同时间点的位移 
for i in range(0, 999):     
    dt = t[i+1] - t[i]     
    distance_rabbit[i+1] = distance_rabbit[i] + rabbit_speed(t[i]) * dt     
    distance_turtle[i+1] = distance_turtle[i] + turtle_speed(t[i]) * dt  

# 绘制图像 
plt.plot(t, distance_rabbit, label='rabbit') 
plt.plot(t, distance_turtle, label='turtle')  
plt.title('Race between Rabbit and Turtle') 
plt.xlabel('Time') 
plt.ylabel('Distance') 
plt.legend() 
plt.show()