https://support.microsoft.com/zh-cn/help/2290714/error-message-when-you-install-office-2010-on-a-windows-7-based-comput

Error message when you install Office 2010 on a Windows 7-based computer "The installation of Microsoft Office 2010 requires that MSXML version 6.10.1129.0 be installed on your computer"

https://answers.microsoft.com/en-us/office/forum/office_2010-office_install/the-install-of-microsoft-office-2010-requires-that/d2d3c44f-1992-42d6-8235-6ca1e638fe6b

1. Click Start, click Run, type regedit, and then click OK.
2. Locate HKEY_CLASSES_ROOT\TypeLib\{F5078F18-C551-11D3-89B9-0000F81FE221}\6.0\0\win32.
3. Right-click win32, and then Click Permissions.
4. Give yourself Full Controlto the key.
5. Double-click the (Default) value under win32, and then change its value from %SystemRoot%\System32\msxml6.dllto C:\Windows\System32\msxml6.dll.
6. Install Office 2010 again.