如何将所有控制台输出重定向到GUI文本框？

import sys
import tkinter as tk
from tkinter import scrolledtext

class RedirectText(object):
    def __init__(self, text_widget):
        self.text_widget = text_widget

    def write(self, string):
        self.text_widget.insert(tk.END, string)
        self.text_widget.see(tk.END)

    def flush(self):
        pass

root = tk.Tk()
root.title("Console Redirect")

text_area = scrolledtext.ScrolledText(root, wrap=tk.WORD, width=100, height=25)
text_area.pack(expand=True, fill=tk.BOTH, padx=10, pady=10)

sys.stdout = RedirectText(text_area)

def print_to_gui():
    print("Hello, this is a message from the console.")

button = tk.Button(root, text="Print to GUI", command=print_to_gui)
button.pack(pady=10)

root.mainloop()