观察下列各式: 13+23=1+8=9,而(1+2)2=9, ∴13+23=(1+2)2; 13+23+33=36,而(1+2+3)2=36, ∴13+23+33=(1+2+3)2; 13+23+33+43=100,而(1+2+3+4)2=100, ∴13+23+33+43=(1+2+3+4)2; ∴13+23+33+43+53=(______)2=______. 根据以上规律填空: (1)13+23+33+…+n3=(______)2=[______]2. (2)猜想:113+123+133+143+153=______. |