What is the meaning of 冲着
冲 is merged from two different characters, 沖 and 衝, notice that 衝 was merged to 沖 and then simplified to 冲 in simplified Chinese. It is very common that using a simple homophone Chinese character replace another complex one in classic Chinese among ordinary people, this is one of the Chinese simplifying rules. We can see the meanings of the characters 冲 or 沖 is about water, yes, it means water (verb), flush, etc. But 衝 is another verb, it means toward (for somebody or something) generally. e.g.: 衝向/冲向: run toward, 衝動/冲动: impulse, 衝着/冲着: for (something).


请别冲着我大喊大叫/請別衝著我大喊大叫:Please don't shout at me.
海潮冲着峭壁/海潮沖著峭壁:The tide is eroding (flushing) the cliff.
那幢房子冲着大海/那幢房子衝著大海:The house face to the sea.
其实我就是冲着她来的/其實我就是衝著她來的:Actually I'm coming for her.
是冲着美院油画系去的/是衝著美院油畫系去的:(Someone) is going for oil painting department of fine arts academy.


The second 冲 is corresponding to 沖 in traditional Chinese, the others are 衝.