一点儿【yìdiǎnr】

一点儿 means "a little" or "a bit". Before a noun it measures a small quantity.

The 儿 is northern. 一点 without it is the same word and is standard everywhere.

After an adjective it asks for more

This is a comparison: 慢一点儿 is slower than the current speed. It is the polite way to ask someone to adjust what they are doing.

一点儿 against 有点儿

Position is what separates them, and so is attitude. 有点儿 goes before the adjective and complains; 一点儿 goes after it and asks.

一 drops in speech

点儿 alone is common after a verb: 喝点儿水, 吃点儿东西.

一点儿也不 for "not at all"