I am writing an open source project licensed under Apache License 2.0, I wonder how can I license the precompiled binaries with the same license
The LICENCE file has no particular special meaning, though it is one conventional way of indicating applicable licence terms. In this particular case, you're using the Apache2 licence, which accords special status to any
NOTICE file that accompanies the download; so if you choose to use a licensing file in the tarfile that contains the binary and associated libraries, I'd call it
You could also use declarative text on the web page, if any, that distributes the binaries. Or you could have a click-through for people downloading them.
Your obligations are to be clear and unambiguous about the terms on which you're letting people have source and/or binaries. How you do that is up to you.