Christie Brinkley, Peter Cook Spar in Divorce Court Over Homework Duties

Christie Brinkley's husband took a shot at the supermodel in divorce court Monday, suggesting that the Uptown Girl delegates her maternal duties to the household help.

Peter Cook made his derisive remark after learning Brinkley wanted him to formally agree — as part of a temporary child-custody agreement they were hashing out — that both she and he will help their two young kids with homework.

"Does she do it, or does the nanny do it?" Cook cackled to his lawyers at they huddled in Suffolk County Supreme Court in Long Island, N.Y.

The architect was annoyed by that and other requests made by Brinkley, 52, who was out of the Central Islip courtroom talking to her legal team when he made his crack.

Another stipulation that she asked be part of the custody agreement clearly got Cook's goat — "Neither party shall tell the kids to keep a secret from the other parent."

Brinkley irritated him further by asking that he agree not to take the kids on commercial flights whenever the national terror alert warning is raised to "red," or the highest stage of alert. She said private planes were OK.

But Cook eventually signed off on that request, and to the rest of the child-custody agreement, which will be in effect until at least May 7.

Judge Joseph Pastoressa sought to temper the obvious rancor in the courtroom at the end of the long day, telling Brinkley and Cook to keep the lines of communication open between them.

"Be civil," Pastoressa told them. "Don't use your children as messengers between you."

Speaking to reporters earlier in the day, Cook's lawyer, Norman Sheresky, said of Brinkley, "Something tells me she's angry."

The cover girl, who's ending her fourth marriage, has plenty to be angry about.

Brinkley filed for divorce last year after learning that Cook, 47, had cheated on her since 2005 with 18-year-old Diana Bianchi, an aspiring singer and former toy-store clerk he had hired to be his assistant.

Sheresky Monday revealed that until early December at least one of the spouses — presumably Cook — held out hope of saving the 10-year marriage.

But then it became "pretty clear that there wasn't going to be a reconciliation," the lawyer said, without elaborating. He also said the couple's divorce case has been "average-contentious" so far.

It was clear to observers Monday that Cook and Brinkley want to have as little to do with each other as possible, even when it comes to discussing how to divide the days they are responsible for taking care of their children — Sailor, 8, and 11-year-old Jack Paris.

The couple — who at times sat just 10 feet apart in the first row of the courtroom — did not glance at each other the entire time.

A radiant, upbeat Brinkley arrived at the courthouse first.

She told reporters that when news of Cook's adultery made headlines last summer, she took their children camping, so they were "blissfully unaware" of the lurid details about Cook and his lover.

Asked how she has been holding up over the past six months, Brinkley said, "I would say to all men and women going through divorce that it is difficult. And I've been approached by many men and women going through this who gave me their support, and I really appreciate it."

Cook had no comment.