What's the relationship between words with the prefix door?

Such as doors, doors (inner doors), switches, etc.

Here are a few words to discuss:

The boudoir, whose original meaning is a small door, looks like a laurel tree below the upper circle. "The Legend of the Ram for Six Years": "Someone came out of the boudoir with a lotus bowl."

Que, a tall building (Louguan) on both sides of the palace gate (or temple gate), also called Guan, has a road in the middle.

Bi, the original meaning is to open the door. "Zuo Zhuan Gong Xuan Two Years": "Go in the morning and open the bedroom door."

Broad, the original meaning is broad. Wide word from the door, wide word from far, wide word from wide, all show that the concept of width originated from the width of the house.