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ALT: WHY RON PUT ME ON ICE

Supermodel Carol Alt says she and ex-Ranger captain Ron Greschner split because she had cancer and couldn’t satisfy his goal of having kids, bombshell court papers reveal.

In the papers – filed in advance of her civil trial next week in Manhattan federal court, where the stunning Alt is suing her retired hockey-playing ex-hubby for $9 million over a business deal – she also says the two continued to have sex “well after” agreeing to divorce.

PHOTOS: Carol Alt

The onetime Sports Illustrated cover girl – who at 47 is set to bare it all for the December issue of Playboy – told Sports Illustrated in 2001 that their high-profile marriage ended because “he wanted children, and I wasn’t ready.”

But in the new court papers, she says the real problem was that she “could not conceive” as a result of cervical and uterine cancer and “because Greschner strongly desired children, the two decided that Greschner should be with someone who could so provide him.”

The former defenseman now has five children with wife Lori.

Alt has become a proponent of the so-called “raw food” diet, which she credits with putting her cancer into remission.

Greschner and Alt married in 1983. The court papers say their January 1997 legal separation was “extremely amicable,” with the two living together until June 1998 – and continuing “to be intimate with each other well after the separation agreement was executed.”

Greschner was also handling Alt’s finances and investments as late as 2001, the year they divorced.

But the beauty and the ex-Broadway Blueshirt are scheduled to face off in court Tuesday over Alt’s claim that her ex-husband cheated her out of her share of an $18 million profit from an investment during their marriage.

Alt alleges that Greschner used her money in 1997 to help stave off a hostile takeover of a Canadian water-treatment firm, WaterGroup Companies, headed by his brother-in-law, Don Fettes.

Alt says Greschner told her the investment couldn’t be recouped for 10 years.

But she claims he actually swapped the investment for stock in 1997, entitling her to $980,000 plus interest.

Greschner counters that he made less than $800,000 in profits on the deal and that their separation agreement gives that money to him.

In previous court papers, Greschner claimed his ex is using the suit only to obtain private details of his finances.

bruce.golding@nypost.com

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