Question

解一数学题（八年级上）帮忙解一下!x=a/(b+c),y=b/(c+a),z=c/(a+b),求x/(1+x)+y/(1

Answer 1

1+x=(a+b+c)/(b+c)

1+y=(a+b+c)/(a+c)

1+z=(a+b+c)/(b+a)

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

=3-(b+c)/(a+b+c)-(a+c)/(a+b+c)-(a+b)/(a+b+c)

=3-2

=1