解:设2001年的学生人数是X^2,2002年的学生人数是Y^2,则Y^2-X^2=101 即:(Y+X)(Y-X)=101 =101*1 所以X+Y=101 Y-X=1 解之得Y=51 X=50 所以该校2002年的学生人数是:51²=2601
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