13. Use the nine digits $1,2,3,4,5,6,7,8,9$ to form three three-digit numbers (each digit can only be used once), such that the largest number is divisible by 3; the second largest number leaves a remainder of 2 when divided by 3, and is as large as possible; the smallest number leaves a remainder of 1 when divided by 3, and is as small as possible. Find these three three-digit numbers.
13. Use the nine digits $1,2,3,4,5,6,7,8,9$ to form three three-digit numbers (each digit can only be used once), such that the largest number is divisible by 3; the second largest number leaves a remainder of 2 when divided by 3, and is as large as possible; the smallest number leaves a remainder of 1 when divided by 3, and is as small as possible. Find these three three-digit numbers.
【Solution】Solution: According to the analysis, the highest digit of the largest number is: 9, the highest digit of the second largest number is: 8, and the highest digit of the smallest number is 1,
The second largest number leaves a remainder of 2 when divided by 3, and should be as large as possible, so the second largest three-digit number is: 875; the smallest number leaves a remainder of 1 when divided by 3, and should be as small as possible, so the smallest three-digit number is: 124;
The remaining three digits are only $3,6,9$, so the largest three-digit number is: 963.
Therefore, the answer is: 963, 875, 124.