如何让Tkinter窗口中的元素填充框架？

import tkinter as tk

root = tk.Tk()

frame = tk.Frame(root)
frame.pack(fill=tk.BOTH, expand=True)

button = tk.Button(frame, text="Click Me")
button.pack(fill=tk.BOTH, expand=True)

root.mainloop()

import tkinter as tk

root = tk.Tk()

frame = tk.Frame(root)
frame.grid(row=0, column=0, sticky="nsew")

button = tk.Button(frame, text="Click Me")
button.grid(row=0, column=0, sticky="nsew")

# 设置行和列的权重，以便它们可以扩展
root.grid_rowconfigure(0, weight=1)
root.grid_columnconfigure(0, weight=1)

root.mainloop()

import tkinter as tk

root = tk.Tk()

frame = tk.Frame(root, width=200, height=200)
frame.place(x=0, y=0, relwidth=1, relheight=1)

button = tk.Button(frame, text="Click Me")
button.place(relx=0, rely=0, relwidth=1, relheight=1)

root.mainloop()