已知x、y、z均为实数,若X+Y+Z≠0,a=X/X+Y,b=Y/Z+X,c=Z/X+Y,求a/a+1,b/b+1,c/c+1的值 请详细解答!
问题描述:
已知x、y、z均为实数,若X+Y+Z≠0,a=X/X+Y,b=Y/Z+X,c=Z/X+Y,求a/a+1,b/b+1,c/c+1的值 请详细解答!
答
a=X/X+Y? 应为a=X/Y+Z吧!
a/a+1=(X/(Y+Z))/((X/(Y+Z))+1)=X/X+Y+Z
b/b+1=Y/X+Y+Z
c/c+1=Z/X+Y+Z