X/(Y-Z)+Y/(Z-X)+Z/(X-Y)=0求证X/(Y-Z)^2+Y/(Z-X)^2+Z/(X-Y)^2=0通过上面求证下_数学解答

X/(Y-Z)+Y/(Z-X)+Z/(X-Y)=0
求证
X/(Y-Z)^2+Y/(Z-X)^2+Z/(X-Y)^2=0
通过上面求证下面^2是……的2次方
X/(Y-Z)^2+Y/(Z-X)^2+Z/(X-Y)^2=0

人气：320 ℃　时间：2020-10-01 19:03:58

解答

X/(Y-Z)=-Y/(Z-X)-Z/(X-Y) 所以X/(Y-Z)^2 =-Y/(Z-X)(Y-Z)-Z/(X-Y)(Y-Z) =[-Y(X-Y)-Z(Z-X)]/(X-Y)(Y-Z)(Z-X) =(Y+Z-X)/(X-Y)(Z-X) 同理 Y/(Z-X)^2=-Z/(X-Y)(Z-X)-X/(Y-Z)(Z-X) Z/(X-Y)^2=-X/(Y-Z)(X-Y)-Y/(Z-X)(X-Y) ...