请解决q 10?

请解决q 10?
Anonim

回答:

答案是 #=2#

说明:

#X = A /(B + C)#

#Y = B /(C + A)#

#Z = C /(A + B)#

因此,

#1 /(1 + X)= 1 /(1 + A /(B + C))=(B + C)/(A + B + C)#

#1 /(1 + Y)= 1 /(1 + B /(C + A))=(C + A)/(A + B + C)#

#1 /(1 + Z)= 1 /(1 + C /(A + B))=(A + B)/(A + B + C)#

最后,

#1 /(1 + X)+ 1 /(1 + Y)+ 1 /(1 + Z)#

#=(B + C)/(A + B + C)+(C + A)/(A + B + C)+(A + B)/(A + B + C)#

#=(B + C + C + A + A + B)/(A + B + C)#

#=(2(A + B + C))/(A + B + C)#

#=2#