修改代码使图中的小圆绕大圆圈的圆心以200圈每秒的速度进行圆周运动：import turtle import math # Set up the turtle screen screen = turtle.Screen() screen.bgcolor("white") screen.title("Circle with Moving Black Dot") # Create the turtle for drawing the circle circle_turtle = turtle.Turtle() circle_turtle.speed(0) circle_turtle.hideturtle() circle_turtle.penup() circle_turtle.goto(0, -80) circle_turtle.pendown() circle_turtle.color("black") circle_turtle.circle(80, 2880) # Create the turtle for drawing the black dot dot_turtle = turtle.Turtle() dot_turtle.speed(0) dot_turtle.hideturtle() dot_turtle.penup() dot_turtle.goto(40, 0) dot_turtle.pendown() dot_turtle.color("black") dot_turtle.begin_fill() dot_turtle.circle(4) dot_turtle.end_fill() # Calculate the angle increment for each frame of animation angle_increment = 1 / 60 # 200 degrees per second, 60 frames per second # Animate the movement of the black dot while True: dot_turtle.clear() angle = dot_turtle.heading() + angle_increment x = 40 * math.cos(math.radians(angle)) y = 40 * math.sin(math.radians(angle)) dot_turtle.goto(x, y) dot_turtle.begin_fill() dot_turtle.circle(6) # 小圆 dot_turtle.end_fill()

可以使用Python的time模块来控制圆周运动的速度，修改代码如下：

import turtle 
import math 
import time

# Set up the turtle screen 
screen = turtle.Screen() 
screen.bgcolor("white") 
screen.title("Circle with Moving Black Dot") 

# Create the turtle for drawing the circle 
circle_turtle = turtle.Turtle() 
circle_turtle.speed(0) 
circle_turtle.hideturtle() 
circle_turtle.penup() 
circle_turtle.goto(0, -80) 
circle_turtle.pendown() 
circle_turtle.color("black") 
circle_turtle.circle(80, 2880) 

# Create the turtle for drawing the black dot 
dot_turtle = turtle.Turtle() 
dot_turtle.speed(0) 
dot_turtle.hideturtle() 
dot_turtle.penup() 
dot_turtle.goto(40, 0) 
dot_turtle.pendown() 
dot_turtle.color("black") 
dot_turtle.begin_fill() 
dot_turtle.circle(4) 
dot_turtle.end_fill() 

# Calculate the angle increment for each frame of animation 
angle_increment = 200 / 60  # 200 degrees per second, 60 frames per second 

# Animate the movement of the black dot 
while True: 
    dot_turtle.clear() 
    angle = dot_turtle.heading() + angle_increment 
    x = 80 * math.cos(math.radians(angle)) 
    y = 80 * math.sin(math.radians(angle)) 
    dot_turtle.goto(x, y) 
    dot_turtle.begin_fill() 
    dot_turtle.circle(6)  # 小圆 
    dot_turtle.end_fill() 
    time.sleep(1/60)  # 控制运动速度 

在上面的代码中，我们使用了time.sleep()函数来控制小圆的运动速度，将每帧的时间间隔设置为1/60秒。这样，小圆每秒绕大圆圈转200圈，同时每秒刷新60次界面，就可以实现流畅的圆周运动。