We obviously don't know anything about your parents (e.g how they would react if you were to ask) or your parent's financial issues (if they have any).
If your parents can spare 1k for you then ask them, they either say yes or no. There should be no need for them to lash out or anything else. And if you explain to them how much you have left, then they may give you the money or a bit less.
You could go on overdraft, then get a job in the summer or something and pay it back. Or pay your parents back too by getting a job. But seriously, why don't you get a job now? Keeping up with uni and a job is manageable but will be hard.
Get a job and earn money over summer. No need to work in term then and you should be able to save up 1k and potentially more
Have you looked into student overdrafts and credit cards?
They can be very useful for establishing a credit history and tiding you over whilst waiting for student finance installments.
I've lived on less than £35 a week throughout my undergrad and postgrads.
I wouldn't recommend that any adult ask their parents for financial support or a loan.
How much would your maintenance loan be? the expectation from student finance is that your parents will top the loan up if it's less than £8700
If your studying outside London the expectation is that your parents would make up the difference between the max of £8700 and £6775 (almost £2000)
The reason why you're not entitled to the full £8700 is because of your parents income.
Just to avoid confusion, if you're studying in London your parents would still be expected to make up the difference however the maximum maintenance London would then be £11,354.
I think that you should google MSE student loan and show your parents the video near the bottom of the page
Just draft up a budget and tell them you're stressed about it. Given what you've said they're likely to offer you the money.