Re: [問卦] 鄉民救命！這題數學題快把我逼瘋了！

幫ChatGPT debug一個小時
終於寫出來了
看程式碼是圓周兩倍沒錯

這個問題的難度會把ChatGPT
給考倒

https://i.imgur.com/MoR4WtI.gif

import matplotlib.pyplot as plt
import matplotlib.patches as patches
import numpy as np
from matplotlib.animation import FuncAnimation
plt.rcParams['animation.ffmpeg_path'] = '/usr/local/bin/ffmpeg' #請確定你的ffmpeg的路徑

fig, ax = plt.subplots()

circle1 = patches.Circle((0, 0), 1, fc='b') # Blue circle
circle2 = patches.Circle((2, 0), 1, fc='r') # Red circle
arrow = None # Placeholder for the arrow
dist_text = ax.text(-2.5, 2.5, '') # Text object for the distance
dist = 0 # Initial distance

def init():
ax.add_patch(circle1)
ax.add_patch(circle2)
ax.set_xlim(-3, 3)
ax.set_ylim(-3, 3)
ax.set_aspect('equal', adjustable='box')

def animate(i):
global arrow, dist # We'll modify the arrow and dist, so we need to declare them as global
t = np.radians(i)
x = 2*np.cos(t) # Multiply the cosine and sine values by 2 (the sum of the radii)
y = 2*np.sin(t) # to have the edge of circle2 touch the edge of circle1
circle2.center = (x, y)
if arrow is not None: # If an arrow already exists, remove it
arrow.remove()
arrow = patches.FancyArrow(x, y, 0.5*np.cos(t+np.pi/2), 0.5*np.sin(t+np.pi/2), color='g') # Create a new arrow
ax.add_patch(arrow) # Add the new arrow to the axes
dist = t * 1 # The radius of the red circle is 1
dist_text.set_text(f'Distance: {dist:.2f} units') # Update the text object

ani = FuncAnimation(fig, animate, init_func=init, frames=360, repeat=True)

plt.show()
# Save the animation
#ani.save('animation.gif', writer='pillow', fps=30)

※ 引述《a205090a (不再)》之銘言：

剛剛有個朋友突然丟一道題目給我

內容如下

把兩個10元硬幣上下排列，上面的是A下面的是B，現在用A貼著B旋轉一圈直到回到原點，請
問A一共需要轉幾圈??

我把我的答案丟給朋友

結果是錯的欸

這答案也太反直覺了吧??

有鄉民能第一次就答對嗎??

有沒有卦??

--

我叫ChatGPT把移動距離印出來 結果是2 Pi 為什麼呢？

我看不出來ChatGPT哪裡寫錯 它堅持它的答案是對的