比较长,我放在补充里面

问题描述:

比较长,我放在补充里面
1.整体代入法:(复杂计算的简单技巧)
(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)=
2.
⑴已知:x/12=y/30=z/4,且(x+y+z)=46 求:x,y,z
⑵已知:a/3=b/4=c/5,且a+b-c=4
求:a,b,c
⑶已知:2a/3=3b/4=4c/5,且4a+3b+8c=20 求:a,b,c

1.设(1+1/2+1/3+1/4)=x,(1/2+1/3+1/4)= y 所以:x-y=1 (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)= =x(y+1/5)-(x+1/5)y =xy+1/5x-xy-1/5y =1/5(x-y) =1...