Q 10を解いてください?

Q 10を解いてください?
Anonim

回答:

答えは #=2#

説明:

#x = a /(b + c)#

#y = b /(c + a)#

#z = c /(a + b)#

したがって、

#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)#

最後に、

#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#