使用scipy、numpy和任何可以简单移动鼠标光标的工具：

import pyautogui
import random
import numpy as np
import time
from scipy import interpolate
import math

def point_dist(x1,y1,x2,y2):
    return math.sqrt((x2 - x1) ** 2 + (y2 - y1) ** 2)

cp = random.randint(3, 5)  # Number of control points. Must be at least 2.
x1, y1 = pyautogui.position()  # Starting position

# Distribute control points between start and destination evenly.
x = np.linspace(x1, x2, num=cp, dtype='int')
y = np.linspace(y1, y2, num=cp, dtype='int')

# Randomise inner points a bit (+-RND at most).
RND = 10
xr = [random.randint(-RND, RND) for k in range(cp)]
yr = [random.randint(-RND, RND) for k in range(cp)]
xr[0] = yr[0] = xr[-1] = yr[-1] = 0
x += xr
y += yr

# Approximate using Bezier spline.
degree = 3 if cp > 3 else cp - 1  # Degree of b-spline. 3 is recommended.
                                  # Must be less than number of control points.
tck, u = interpolate.splprep([x, y], k=degree)
# Move upto a certain number of points
u = np.linspace(0, 1, num=2+int(point_dist(x1,y1,x2,y2)/50.0))
points = interpolate.splev(u, tck)

# Move mouse.
duration = 0.1
timeout = duration / len(points[0])
point_list=zip(*(i.astype(int) for i in points))
for point in point_list:
    pyautogui.moveTo(*point)
    time.sleep(timeout)

您可以通过设置以下内容来删除pyautogui中的任何内置延迟：

# Any duration less than this is rounded to 0.0 to instantly move the mouse.
pyautogui.MINIMUM_DURATION = 0  # Default: 0.1
# Minimal number of seconds to sleep between mouse moves.
pyautogui.MINIMUM_SLEEP = 0  # Default: 0.05
# The number of seconds to pause after EVERY public function call.
pyautogui.PAUSE = 0  # Default: 0.1

附言：上面的示例不需要任何这些设置，因为它不使用公共moveTo方法。

import pyautogui
import bezier
import numpy as np


# Disable pyautogui pauses (from DJV's answer)
pyautogui.MINIMUM_DURATION = 0
pyautogui.MINIMUM_SLEEP = 0
pyautogui.PAUSE = 0

# We'll wait 5 seconds to prepare the starting position
start_delay = 5 
print("Drawing curve from mouse in {} seconds.".format(start_delay))
pyautogui.sleep(start_delay)

# For this example we'll use four control points, including start and end coordinates
start = pyautogui.position()
end = start[0]+600, start[1]+200
# Two intermediate control points that may be adjusted to modify the curve.
control1 = start[0]+125, start[1]+100
control2 = start[0]+375, start[1]+50

# Format points to use with bezier
control_points = np.array([start, control1, control2, end])
points = np.array([control_points[:,0], control_points[:,1]]) # Split x and y coordinates

# You can set the degree of the curve here, should be less than # of control points
degree = 3
# Create the bezier curve
curve = bezier.Curve(points, degree)
# You can also create it with using Curve.from_nodes(), which sets degree to len(control_points)-1
# curve = bezier.Curve.from_nodes(points)

curve_steps = 50  # How many points the curve should be split into. Each is a separate pyautogui.moveTo() execution
delay = 1/curve_steps  # Time between movements. 1/curve_steps = 1 second for entire curve

# Move the mouse
for i in range(1, curve_steps+1):
    # The evaluate method takes a float from [0.0, 1.0] and returns the coordinates at that point in the curve
    # Another way of thinking about it is that i/steps gets the coordinates at (100*i/steps) percent into the curve
    x, y = curve.evaluate(i/curve_steps)
    pyautogui.moveTo(x, y)  # Move to point in curve
    pyautogui.sleep(delay)  # Wait delay

您可以在这里查看bezier文档：https://bezier.readthedocs.io/en/stable/index.html

你只需要知道move_mouse（（300,300））会让你鼠标到达（300,300），然后永远不要change.look实现，它只是调用WIN32 apimouse_event。“开始和停止”的位置。我不知道如何画贝塞尔曲线。

    while True:
        pos = (random.randrange(*x_bound),random.randrange(*y_bound))
        move_mouse(pos)
        time.sleep(1.0/steps_per_second)

看，这就是动画的秘密。您只需编写一条pos=draw\u bezier\u曲线（t）