当X=二分之一,Y=-1,Z=三分之二时,X(Y-Z)-Y(Z-X)+Z(X-Y)

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/30 07:37:58

当X=二分之一,Y=-1,Z=三分之二时,X(Y-Z)-Y(Z-X)+Z(X-Y)
当X=二分之一,Y=-1,Z=三分之二时,X(Y-Z)-Y(Z-X)+Z(X-Y)

当X=二分之一,Y=-1,Z=三分之二时,X(Y-Z)-Y(Z-X)+Z(X-Y)
X(Y-Z)-Y(Z-X)+Z(X-Y)=XY-XZ-YZ+XY+XZ-YZ=2XY-2YZ=2Y(X-Z)=2*-1(1/2-2/3)=1/3 ,137343389 那个答案,代入数字的时候,最后一个Y代错了,应该是
X(Y-Z)-Y(Z-X)+Z(X-Y)
=1/2(-1-2/3)+1(2/3-1/2)+2/3(1/2+1)
=-5/6+1/6+1
=1-4/6
=1/3

X(Y-Z)-Y(Z-X)+Z(X-Y)
=1/2(-1-2/3)+1(2/3-1/2)+2/3(1/2-1)
=-5/6+1/6-2/6
=-1