求{1+0.12+0.34}*{0.12+0.34+0.56}-{1+0.12+0.34+0.56}*{0.12+0.34}的值.     提示:设1+0.21+0.34=a,0.12+0.34=b      简化计算过程注:不仅要答案,请说清楚为什么这

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/18 00:46:31

求{1+0.12+0.34}*{0.12+0.34+0.56}-{1+0.12+0.34+0.56}*{0.12+0.34}的值.     提示:设1+0.21+0.34=a,0.12+0.34=b      简化计算过程注:不仅要答案,请说清楚为什么这
求{1+0.12+0.34}*{0.12+0.34+0.56}-{1+0.12+0.34+0.56}*{0.12+0.34}的值.     
提示:设1+0.21+0.34=a,0.12+0.34=b      简化计算过程
注:不仅要答案,请说清楚为什么这么做

求{1+0.12+0.34}*{0.12+0.34+0.56}-{1+0.12+0.34+0.56}*{0.12+0.34}的值.     提示:设1+0.21+0.34=a,0.12+0.34=b      简化计算过程注:不仅要答案,请说清楚为什么这
a*(b+0.56)-(a+0.56)*b
=0.56a-0.56b
=0.56*(a-b)
=0.56
这还有为什么吗 就是为了运算过程能够简化

原式=a*(b+0.56)-(a+0.56)*b=(a-b)*0.56=0.56
a=1+0.12+0.34,0.12+0.34=b
这是换元,为了简化计算

原式=a×(b+0.56)-(a+0.56)×b=ab+0.56a-ab-0.56b=0.56(a-b)=0.56×1=0.56


{1+0.12+0.34}*{0.12+0.34+0.56}-{1+0.12+0.34+0.56}*{0.12+0.34}
= a * (b +0.56)- (a+0.56)*b
=ab+0.56a - ab - 0.56b
=0.56(a-b)
=0.56

设1+0.21+0.34=a,??????????哪里有0.21?????????

如果没看错的话,你的提示:a=1+0.21+0.34 是错的,应该是a=1+0.12+0.34
将1+0.12+0.34=a,0.12+0.34=b 代入得:
a*(b+0.56)-(a+0.56)*b=ab+0.56a-ab-0.56b=0.56a-0.56b=0.56(a-b)
又因a=1+0.12+0.34 b=0.12+0.34 则a-b=1, 0.56(a...

全部展开

如果没看错的话,你的提示:a=1+0.21+0.34 是错的,应该是a=1+0.12+0.34
将1+0.12+0.34=a,0.12+0.34=b 代入得:
a*(b+0.56)-(a+0.56)*b=ab+0.56a-ab-0.56b=0.56a-0.56b=0.56(a-b)
又因a=1+0.12+0.34 b=0.12+0.34 则a-b=1, 0.56(a-b)=0.56
所以{1+0.12+0.34}*{0.12+0.34+0.56}-{1+0.12+0.34+0.56}*{0.12+0.34}=0.56

收起