How does the ACSC 1(2) fault affected the zone temp？
 

Refer to FCOM for the AIR PACK 1(2) FAULT. It said that
If ACSC 1 failed:
CKPT AT FIXED TEMP
If ACSC 2 failed:
CAB AT FIXED TEMP
How to understand the fixd temp？If the ACSC 2 fault, then I select the cockpit temp to higher. Does it will affect the cabin zone temp？
Or how does the FIXED TEMP calculated？

What aircraft type?

A320,sorry I have forgotten

From diagram FCOM DSC-21-10-10 General

If ACSC 2 is at Fault, then Pack 2 will shut down and Pack 1 will go to high flow (single pack operation).
ACSC 1 will command a temperature output from pack 1 based on the coldest temperature demand in Zone 1. (Fixed temperature). Additional warm trim air will flow into the cockpit air duct to help regulate the temperature.

The cabin will only be receiving the air supply from pack 1 without any warm trim air so it will feel colder than the cockpit.

In this case, if I turn the zone temp selector for higher temp in cockpit, is that the cabin will get higher temp?

Yes. But cockpit will feel warmer almost immediately due hot trim air being added. Cabin warm air will lag behind due pack outlet temp is slower to respond - and no hot trim air being supplied to cabin.