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计算.
(1+1.2+1.23+1.234)×(1.2+1.23+1.234+1.2345)-(1+1.2+1.23+1.234+1.2345)×(1.2+1.23+1.234)
人气:402 ℃ 时间:2020-02-03 22:06:01
解答
设1+1.2+1.23+1.234=a,1+1.2+1.23+1.234+1.2345=b,则:
(1+1.2+1.23+1.234)×(1.2+1.23+1.234+1.2345)-(1+1.2+1.23+1.234+1.2345)×(1.2+1.23+1.234),
=a×(b-1)-b×(a-1),
=ab-a-ab+b,
=b-a,
=(1+1.2+1.23+1.234+1.2345)-(1+1.2+1.23+1.234),
=1.2345.
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