ok, thanks a lot Jack, Rocky and Amy_Lin, that makes it clear.
So, both words mean "to know" but are used in a different context. I try to sum up the equivalents in english and german:
Zi - means...
English: "to know (about a fact) - did you know that Germany is in Europe?" (know from "Knowledge")
German: "wissen (about a fact) - weisst Du, dass Deutschland in Europa liegt?" (wissen = Verb of "Wissen")
Sik - means...
English: "to know (how to) - Do you know how to swim?..or..Can you swim?
German: "Weisst Du wie man schwimmt?...or..."Kannst Du schwimmen?" (kannst Du = can you)
Thx a lot again!