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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