从多个帧切换时，无法使tkinter帧居中

import tkinter as tk

def center_frames():
    frame1.grid(row=0, column=0, padx=10, pady=10)
    frame2.grid(row=0, column=0, padx=10, pady=10)
    frame3.grid(row=0, column=0, padx=10, pady=10)

root = tk.Tk()

frame1 = tk.Frame(root, width=200, height=200, bg='red')
frame2 = tk.Frame(root, width=200, height=200, bg='green')
frame3 = tk.Frame(root, width=200, height=200, bg='blue')

center_frames()

root.mainloop()

import tkinter as tk

def center_frames():
    frame1.place(relx=0.5, rely=0.5, anchor=tk.CENTER)
    frame2.place(relx=0.5, rely=0.5, anchor=tk.CENTER)
    frame3.place(relx=0.5, rely=0.5, anchor=tk.CENTER)

root = tk.Tk()

frame1 = tk.Frame(root, width=200, height=200, bg='red')
frame2 = tk.Frame(root, width=200, height=200, bg='green')
frame3 = tk.Frame(root, width=200, height=200, bg='blue')

center_frames()

root.mainloop()