First point: Want to know .... Check my sentences .... This is a very impolite way of asking for help. Your profile says that your level of English is advanced. Having an advanced level of language suggests that you should know how to address people in an appropriate way, especially if you expect them to help you. So why don't you ask a polite question? Nobody wants to help rude people. Here are your sentences with some suggested corrections: 1. I can't stand hearing her voice. = ok 2.I can't stand studying so much grammar. = ok 3.I cant stand ANYONE TOUCHING my cellphone. 4.I can't stand IT when YOU TALK DOWN TO ME (this is just a suggestion) 5.I can't stand THIS behavior of yours. 6.I can't stand IT when people THINK they are much better than others. And finally, the meaning: 'Can't stand' is much stronger than 'don't like'. It's similar to 'hate'.

Yes it means you really don't like something.

It is stronger than "I don't like." "I can't stand it " means "I cannot accept it." I don't like cooked broccoli, but I will eat it because I know it is healthy. I can't stand raw broccoli, and I will not eat it. I can't stand raw broccoli. I don't care what dressing you put on it, I won't eat it. I can't stand raw broccoli. I don't care what you mix it with, I won't eat it. I can't stand raw broccoli. You couldn't pay me to eat it. I wouldn't eat it if you wrapped it in a $100 bill. I can't stand raw broccoli. If I were trapped on a desert island with nothing to eat but raw broccoli, I would starve to death. Joke: What's the difference between a psychotic and a neurotic? A psychotic says "Two and two are five." A neurotic says "Two and two are four and I CAN'T STAND IT."