9. (15 points) The values of the playing cards are as shown in the figure, with the maximum being 13 and the minimum being 1. Now, Xiaoming has 3 playing cards with different values. The sum of the values of the first and second cards is 25, and the sum of the values of the second and third cards is 13. What is the value of the third card?
【Analysis】Since the maximum is 13 and the minimum is 1, and the sum of the points of the first and second playing cards is $25, 25=13+12$, which means the points of the first and second cards must be 12 or 13. Also, the sum of the points of the second and third playing cards is 13, and since the minimum is 1, the second card must be $13-1=12$, so the third card is 1.

【Solution】Since the maximum is 13 and the minimum is 1,
$25=13+12$, which means the points of the first and second cards must be 12 or 13.
Also, the sum of the points of the second and third playing cards is 13,
so the second card must be $13-1=12$,
thus the third card is 1.