Hi 宇-,
Thanks for contacting Apple Support Communities!
We understand that when you export a PDF file from Notes on your Mac, it only exports part of the first page, correct?
To help us isolate this behavior further, we'd like to have you create a new user account on your Mac to test exporting a PDF from Notes in a new account. This will let us know if this is system wide or isolated to one account.
To create a new user account, you can go to the Apple menu > System Preferences, then click Users & Groups.Click the lock icon, then enter an administrator name and password.Click the add button (+) below the list of users.Complete the fields shown for an Administrator account, then click Create Account (or OK).Once you’ve created the new account, go to the Apple menu > Log Out, then log in with the new account.
If you can't recreate the same behavior in the new user account, we'd recommend that you troubleshoot your login items. Although this resource isn't titled to address your specific issue, it will show you how to troubleshoot login items: Remove login items to resolve startup problems on your Mac
We hope this helps.
Cheers!