当A=1时：\large{当A=1时：}当A=1时：
∵A=1\large{\because A=1}∵A=1
∴E=1\large{\therefore E=1}∴E=1
∵E≠A\large{\because E \neq A}∵E=A
∴A≠1\large{\therefore A\neq 1}∴A=1
同理可得:B≠1\large{同理可得:B\neq 1}同理可得:B=1
当C=1时：\large{当C=1时：}当C=1时：
∵C=1\large{\because C=1}∵C=1
∴A=5\large{\therefore A=5}∴A=5
D≠1,D≠2\large{D \neq 1,D\neq 2}D=1,D=2
∴E≠1,E≠2\large{\therefore E\neq 1,E\ne2}∴E=1,E=2
∵E≠2,E≠3\large{\because E\ne2,E\ne3}∵E=2,E=3
A=5\large{A=5}A=5
∴E=4\large{\therefore E=4}∴E=4
∴D=3\large{\therefore D=3}∴D=3
∴B=2\large{\therefore B=2}∴B=2
综上,A=5,B=2,C=1,D=3,E=4\large{综上,A=5,B=2,C=1,D=3,E=4}综上,A=5,B=2,C=1,D=3,E=4
