In Man of Steel (2013), when Zod and his subordinates come to take Superman, they ask for Lois Lane too. But when they take her, they don't ask her anything. They just put her in some kind of prison, from which she escapes with the help of Jor-El. I could not understand why they took her in the first place. Can you explain that to me?
Two people know where Kal'El lived. Kal'El himself and of course, Lois. The ship in which he came to Earth was suspected to contain the codex and Zod needed to pinpoint the location. So when you need a piece of information, you collect all possible sources of it. Both of them gave away the location making it clear and credible to Zod where Clark lived. Zod is no fool, he is a war veteran. He is a general. Of course, it's not difficult for him to find Lois again but what's the point when she is available right in from of him.
Also, it was the only way for the story to progress and for Jor'El to instruct her.