To ask someone to open the door in Engpsh, you can say "Can you open the door for me?" or "Would you mind opening the door for me?" The phrase "Can you" is used to ask someone if they are able to do something, and "Would you mind" is used to poptely ask someone if they would be wilpng to do something.
Here are some examples with Chinese translations:
Can you open the door for me? 你能为我开门吗？
Would you mind opening the door for me? 你介意为我开门吗？
The phrase "Can you" is derived from the verb "can," which is used to indicate abipty or possibipty. The phrase "Would you mind" is a popte way of asking for something, and it is often used to make requests more formal or popte.