1 1 4 乘 1 51 1 5)乘

2021-03-12 14:38:37 字数 4109 阅读 2097

1楼:超级微生物

上面的错了,应该是:

令(1+1/2+1/3+1/4)=a,(1/2+1/3+1/4+1/5)=b

原式=ab-(a+1/5)*(b-1/5)=ab-(ab+1/5b-1/5a-1/25)=ab-ab-1/5b+1/5a+1/25=1/5(a+b)+1/25

=1/5*4/5+1/25

=4/25+1/25

=1/5

2楼:我不是他舅

(1+1/2+1/3+1/4)*(1/2+1/3+1/4+1/5)-(1+1/2+1/3+1/4+1/5)*(1/2+1/3+1/4)

=1*(1/2+1/3+1/4+1/5)+(1/2+1/3+1/4)*(1/2+1/3+1/4+1/5)-1*(1/2+1/3+1/4)-(1/2+1/3+1/4+1/5)*(1/2+1/3+1/4)

=(1/2+1/3+1/4+1/5)-(1/2+1/3+1/4)=1/5

3楼:百度网友

(1+1/2+1/3+1/4)*(1/2+1/3+1/4+1/5)-(1+1/2+1/3+1/4+1/5)*(1/2+1/3+1/4)

=(1+1/2+1/3+1/4)*(1/2+1/3+1/4)+1/5*(1+1/2+1/3+1/4)-(1+1/2+1/3+1/4)*(1/2+1/3+1/4) -1/5*(1/2+1/3+1/4)

=1/5

-----------------------------(1+1/2+1/3+1/4)=a,(1/2+1/3+1/4)=b(1+1/2+1/3+1/4)乘(1/2+1/3+1/4+1/5)-(1+1/2+1/3+1/4+1/5)乘(1/2+1/3+1/4)

=a*(b+1/5)-(a+1/5)*b

=ab+a/5-ab-b/5

=(a-b)/5

=1/5

4楼:公孙无邪

可以令1/2+1/3+1/4=x

原式可化为(1+x)*(1/5+x)-(6/5+x)*x=x^2+6/5x+1/5-6/5x=1/5

5楼:匿名用户

(1+1/2+1/3+1/4)乘(1/2+1/3+1/4+1/5)=(1/2+1/3+1/4)乘(1/2+1/3+1/4+1/5)+(1/2+1/3+1/4+1/5)

(1+1/2+1/3+1/4+1/5)乘(1/2+1/3+1/4)=(1/2+1/3+1/4+1/5)乘(1/2+1/3+1/4)+(1/2+1/3+1/4)

原式=(1/2+1/3+1/4)乘(1/2+1/3+1/4+1/5)+(1/2+1/3+1/4+1/5)-1/2+1/3+1/4+1/5)乘(1/2+1/3+1/4)-(1/2+1/3+1/4)=(1/2+1/3+1/4+1/5)-(1/2+1/3+1/4)

=1/5

6楼:百度网友

原式=(1+1/2+1/3+1/4)乘(1/2+1/3+1/4+1/5)-(1+1/2+1/3+1/4+1/5)乘(1/2+1/3+1/4)

=(1+1/2+1/3+1/4)乘(1/2+1/3+1/4+1/5)-(1/2+1/3+1/4+1/5)乘(1/2+1/3+1/4) -(1/2+1/3+1/4)

=(1/2+1/3+1/4+1/5)乘(1/2+1/3+1/4+1/5-1/2+1/3+1/4)-(1/2+1/3+1/4)

=(1/2+1/3+1/4+1/5)乘1/5-(1/2+1/3+1/4)

7楼:达典翠阳晖

解:原式=1*(1/2+1/3+1/4+1/5)+(1/2+1/3+1/4)*(1/2+1/3+1/4)-1*(1/2+1/3+1/4)-(1/2+1/3+1/4+1/5)*(1/2+1/3+1/4)

=1/2+1/3+4/4+1/5-1/2-1/3-1/4=1/5

本座是你班长

(1+1/2+1/3+1/4)*(1/2+1/3+1/4+1/5)-(1+1/2+1/3+1/4+1/5)*(1/2+1/3+1/4)请写出详细过程和解释

8楼:我不是他舅

令a=1/2+1/3+1/4

原式=(1+a)(a+1/5)-(1+a+1/5)a=(1+a)a+1/5(1+a)+(1+a)-1/5a=1/5(1+a)-1/5a

=1/5+1/5a-1/5a

=1/5

(1+1/2+1/3+1/4)*(1/2+1/3+1/4+1/5)-(1-1/2-1/3-1/4-1/5)*(1/2-1/3-1/4)

9楼:小希韩

我用word写的,弄成**,能看见吗,看见的话告我一声,谢了

10楼:新野旁观者

设1/2+1/3+1/4=x

1/2+1/3+1/4+1/5=y

(1+1/2+1/3+1/4)*(1/2+1/3+1/4+1/5)-(1-1/2-1/3-1/4-1/5)*(1/2-1/3-1/4)

=(1+x)y-(1+y)x

=y+xy-x-xy

=y-x

=1/5

(1+1/2+1/3+1/4)*(1/2+1/3+1/4+1/5)-(1+1/2+1/3+1/4+1/5)*(1/2+1/3+1/4)

11楼:我不是他舅

令baia=1/2+1/3+1/4

则du1+1/2+1/3+1/4=1+a

容=(1+a)(a+1/5)-a(1+a+1/5)=a(1+a)+(1+a)*1/5-a(1+a)-a*1/5=(1+a)*1/5-a*1/5

=1/5+a*1/5-a*1/5

=1/5

12楼:匿名用户

(1+1/2+1/3+1/4)*(1/2+1/3+1/4+1/5)-(1+1/2+1/3+1/4+1/5)*(1/2+1/3+1/4)

将1/2+1/3+1/4看成

一个copy整体(看成x)

算是则成为:

(1+x)·(x+1/5)-(1+x+1/5)·x=1/5+a*1/5-a*1/5

其中x互相抵消就变成了

=1/5

13楼:匿名用户

= [1*(1/2+1/3+1/4+1/5) + (1/2+1/3+1/4) * (1/2+1/3+1/4+1/5)]

-[1*(1/2+1/3+1/4) + (1/2+1/3+1/4+1/5)* (1/2+1/3+1/4)]

= (1/2+1/3+1/4+1/5) - (1/2+1/3+1/4)

+ (1/2+1/3+1/4) * (1/2+1/3+1/4+1/5) - (1/2+1/3+1/4+1/5)* (1/2+1/3+1/4)

= 1/2+1/3+1/4+1/5 - 1/2-1/3-1/4

= 1/5

够详细了吧!内容

14楼:匿名用户

令a=1+1/2+1/3+1/4

b=1/2+1/3+1/4

原题即 a*(b+1/5)-(a+1/5)*b=(a-b)/5a-b=1 所以答案为1/5

15楼:

设x=1/2+1/3+1/4

原式=(x+1)*(x+1/5)-(x+1+1/5)*x=x^2+1.2x+0.2-x^2-1.2x=0.2

16楼:小小乐乐

(1+1/2+1/3+1/4)x(1/2+1/3+1/4+1/5)-(1+1/2+1/3+1/4+1/5)x(1/2+1/3+1/4)

=(1+1/2+1/3+1/4)x(1/2+1/3+1/4+1/5)-(1+1/2+1/3+1/4)x(1/2+1/3+1/4)-1/5 x(1/2+1/3+1/4)

=(1+1/2+1/3+1/4) x(1/2+1/3+1/4+1/5-1/2-1/3-1/4)-1/5 x(1/2+1/3+1/4)

=(1+1/2+1/3+1/4) x1/5-1/5 x(1/2+1/3+1/4)

=1/5 x(1+1/2+1/3+1/4-1/2-1/3-1/4)

=1/5 x1

=1/5

17楼:清梳墨柳

答案是1/5,老师打对的。楼上是正解

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