Labels for words matters. The two verbs in your example are "slipped" and "threw".
Up can be an adverb (I was sick and vomited up everything), a preposition (They took a cruise up the Rhine), an adjective (the mood here is resolutely up), a noun (You can't have ups all the time in football), etc.
In your first example, up is an adverb (a word or phrase that modifies or qualifies an adjective, verb, or other adverb). In your second, it is according to @Edwin Asworth, also an adverb. Please see below. However, if one presumes she threw her keys up into the air, it could be considered a preposition.
Also, in (Ame at least) English, throw up means to vomit, so that threw up her keys will first strike someone as a bit awkward, although in context it will be understood as it is meant to be.
Edited to reflect @Edwin Ashworth's information.
Funny is often used as a code word. A nice way of saying something before you know something is "off".
So yes funny can mean strange or weird. It can also mean other things too.
Usage:
- Dad might say, "I don't want any funny business while we are away." Funny meaning simply bad.
- "That guy gave me a funny look." Funny meaning weird (usually).
- "Do you think this bread smells funny." Funny meaning bad or strange.
- "I think Jeff might be a little funny if you know what I mean." Funny meaning gay. [ To add to this. This can be said in a serious way and can be offensive, however in the usage that is common to me it is said to mock people that say funny to mean gay - if this makes sense. ]
- "That guy had me rolling. He is one funny dude." Funny meaning humorous.
- Dad saying to a guy picking up his daughter for a date, "I don't want anything funny going on tonight." Funny meaning sex.
Funny is a funny word. There are probably 10 more variations of ways to use funny but it would be funny for me to keep going on with different definitions... unless I am a little funny.
Best Answer
You usually accuse [someone] of [some act of wrongdoing] (e.g. "I accuse him of bigamy").
Less commonly, you can accuse [someone] as [some type of wrongdoer], a form which often involves the passive voice, in conjunction with "stand" (e.g. "He stands accused as a bigamist").
Thus in OP's example, where having been irrational is a transgression/wrongdoing, the correct preposition is "of".