How to extract and join files xxx.zip, xxx.z01 and xxx.z02

I have these three files: 1.zip, 1.z01 and 1.z02. I would like to extract and join them into a single file, by right clicking 1.zip and selecting Extract Here. But then there comes an error:

7-Zip 9.04 beta  Copyright (c) 1999-2009 Igor Pavlov  2009-05-30
p7zip Version 9.04 (locale=en_US.utf8,Utf16=on,HugeFiles=on,2 CPUs)

Error: /home/tim/Desktop/1.zip:
Can not open file as archive

Errors: 1

I was wondering what the problem is and how I can solve it?

ADDED:

Is my usage of unzip -FF wrong? It seems not working:

$ unzip -FF 1.zip 
Archive:  1.zip
warning [1.zip]:  zipfile claims to be last disk of a multi-part archive;
  attempting to process anyway, assuming all parts have been concatenated
  together in order.  Expect "errors" and warnings...true multi-part support
  doesn't exist yet (coming soon).
file #1:  bad zipfile offset (local header sig):  0

2nd ADDED:

Still ain't right:

$ cat 1.z01 1.z02 1.zip > combined.zip && unzip -FF combined.zip
Archive:  combined.zip
warning [combined.zip]:  zipfile claims to be last disk of a multi-part archive;
  attempting to process anyway, assuming all parts have been concatenated
  together in order.  Expect "errors" and warnings...true multi-part support
  doesn't exist yet (coming soon).
warning [combined.zip]:  209829313 extra bytes at beginning or within zipfile
  (attempting to process anyway)
file #1:  bad zipfile offset (local header sig):  209829313
  (attempting to re-compensate)
 extracting: 1.wmv   bad CRC ee181eef  (should be f3c61875)

It generated 1.wmv, which can play well only until midway in GNOME MPlayer.

3rd ADDED:

Am I using 7z wrongly?

$ 7z e 1.z01

7-Zip 9.04 beta  Copyright (c) 1999-2009 Igor Pavlov  2009-05-30
p7zip Version 9.04 (locale=en_US.utf8,Utf16=on,HugeFiles=on,2 CPUs)

Processing archive: 1.z01

Error: Can not open file as archive

$ 7z e 1.zip

7-Zip 9.04 beta  Copyright (c) 1999-2009 Igor Pavlov  2009-05-30 
p7zip Version 9.04 (locale=en_US.utf8,Utf16=on,HugeFiles=on,2 CPUs)

Processing archive: 1.zip

Error: Can not open file as archive

Try:

zip -FF 1.zip --out 1-full.zip
unzip -FF 1-full.zip

I think most likely some data is broken many times so you need the -FF still in unzip. A single -F may work also though.

I have the same issue today with Mass Effect 3. Someone broke the installation of Mass Effect 3 in new version of origin on windows and my wine of course too (installation hangs on 99%). I have to make manually installation:

cp /mnt/cdrom1/Mass\ Effect\ 3.z01 ~/temp/Mass\ Effect\ 3.z01
cp /mnt/cdrom2/Mass\ Effect\ 3.zip ~/temp/Mass\ Effect\ 3.zip
zip -FF Mass\ Effect\ 3.zip --out Mass\ Effect\ 3.zip.fixed
mkdir Mass\ Effect\ 3
unzip -d Mass\ Effect\ 3/ Mass\ Effect\ 3.zip.fixed
du --total Mass\ Effect\ 3
>> 10466048 (~10.5 GB => success)

zip -FF should be applied to last part of archive, it will automatically check for all parts