奥数简便运算(1+0.12+0.23)*(0.12+0.23+0.34)-(1+0.12+0.23+0.34)*(0.12+0.23)

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奥数简便运算(1+0.12+0.23)*(0.12+0.23+0.34)-(1+0.12+0.23+0.34)*(0.12+0.23)

奥数简便运算(1+0.12+0.23)*(0.12+0.23+0.34)-(1+0.12+0.23+0.34)*(0.12+0.23)
奥数简便运算(1+0.12+0.23)*(0.12+0.23+0.34)-(1+0.12+0.23+0.34)*(0.12+0.23)

奥数简便运算(1+0.12+0.23)*(0.12+0.23+0.34)-(1+0.12+0.23+0.34)*(0.12+0.23)
1+0.12+0.23)*(0.12+0.23+0.34)=(0.12+0.23)*(0.12+0.23+0.34)+(0.12+0.23+0.34)*1
(1+0.12+0.23+0.34*(0.12+0.23)=(0.12+0.23+0.34)*(0.12+0.23)+ (0.12+0.23)*1
代入结果
=
(0.12+0.23) * (0.12+0.23+0.34) + 0.12+0.23+0.34 -
(0.12+0.23+0.34) * (0.12+0.23) + 0.12+0.23
=
0.34

令a=0.12+0.23;b=0.12+0.23+0.34
1+0.12+0.23=1+a;1+0.12+0.23+0.34=1+b
(1+0.12+0.23)*(0.12+0.23+0.34)-(1+0.12+0.23+0.34)*(0.12+0.23)
=(1+a)b-(1+b)a
=b-ab-a-zb
=b-a
=0.34