(1) Because the Book City is on the right side of the school, it is on the east side of the school. Because the gymnasium is in front of the school, it is in the south of the school.

(2) Because the post office is in the upper left of the school, it is in the northwest of the school; Because the cultural center is right above the school, in the northeast of the school;

(3) Because the school is above the bank on the left, it is in the northwest of the bank, and because it is on the right of the Children's Palace, it is in the east of the Children's Palace;

So the answer is: East, South; Northwest, southeast, northwest, east.