The version of armory is 0.96_win64.exe
This doesn't seem correct... did you download from here:
https://btcarmory.com/0.96.5-release/ Or did you download from the old and outdated bitcoinarmory .com?
the os is windows 10
I try several time to download bitcoin core but doesn't work.... i downloaded but is only 897 byte... i think is not ok...
no error messagge....
Likely due to the issues that the Bitcoin Core crew had with their Windows Digital Signature being revoked by accident.
Where did you try to download Bitcoin Core from? Was it this one:
https://bitcoincore.org/bin/bitcoin-core-0.21.1/bitcoin-0.21.1-win64-setup-unsigned.exei will like to transfer my funds to electrum....
Then I would follow my tutorial that Lucius linked above. Note that this method will only be able to extract the private keys for "standard" P2PKH addresses.
If you were using some of the Armory specific "P2SH-P2PK" addresses or the Armory "Lockboxes" then this will not work and you will need to sync Bitcoin Core, then let Armory connect to Bitcoin Core and then send the funds in an onchain transaction.