化简:(2x-y-z)/(x-y)(x-z)+(2y-z-x)/(y-z)(y-x)+(2z-x-y)/(z-x)(z-y)化简:(2x-y-z)/(x-y)(x-z)+(2y-z-x)/(y-z)(y-x)+(2z-x-y)/(z-x)(z-y)我知道把分母化成一样的、但是之后怎么算?
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/06 13:35:39
![化简:(2x-y-z)/(x-y)(x-z)+(2y-z-x)/(y-z)(y-x)+(2z-x-y)/(z-x)(z-y)化简:(2x-y-z)/(x-y)(x-z)+(2y-z-x)/(y-z)(y-x)+(2z-x-y)/(z-x)(z-y)我知道把分母化成一样的、但是之后怎么算?](/uploads/image/z/1983938-50-8.jpg?t=%E5%8C%96%E7%AE%80%3A%282x-y-z%29%2F%28x-y%29%28x-z%29%2B%282y-z-x%29%2F%28y-z%29%28y-x%29%2B%282z-x-y%29%2F%28z-x%29%28z-y%29%E5%8C%96%E7%AE%80%3A%282x-y-z%29%2F%28x-y%29%28x-z%29%2B%282y-z-x%29%2F%28y-z%29%28y-x%29%2B%282z-x-y%29%2F%28z-x%29%28z-y%29%E6%88%91%E7%9F%A5%E9%81%93%E6%8A%8A%E5%88%86%E6%AF%8D%E5%8C%96%E6%88%90%E4%B8%80%E6%A0%B7%E7%9A%84%E3%80%81%E4%BD%86%E6%98%AF%E4%B9%8B%E5%90%8E%E6%80%8E%E4%B9%88%E7%AE%97%3F)
化简:(2x-y-z)/(x-y)(x-z)+(2y-z-x)/(y-z)(y-x)+(2z-x-y)/(z-x)(z-y)化简:(2x-y-z)/(x-y)(x-z)+(2y-z-x)/(y-z)(y-x)+(2z-x-y)/(z-x)(z-y)我知道把分母化成一样的、但是之后怎么算?
化简:(2x-y-z)/(x-y)(x-z)+(2y-z-x)/(y-z)(y-x)+(2z-x-y)/(z-x)(z-y)
化简:(2x-y-z)/(x-y)(x-z)+(2y-z-x)/(y-z)(y-x)+(2z-x-y)/(z-x)(z-y)我知道把分母化成一样的、但是之后怎么算?
化简:(2x-y-z)/(x-y)(x-z)+(2y-z-x)/(y-z)(y-x)+(2z-x-y)/(z-x)(z-y)化简:(2x-y-z)/(x-y)(x-z)+(2y-z-x)/(y-z)(y-x)+(2z-x-y)/(z-x)(z-y)我知道把分母化成一样的、但是之后怎么算?
令a = x - y,b = y - z,c = z - x
原式= (a - c)/(-ac) + (b - a)/(-ba) + (c - b)/(-cb)
= (a - b)/ab + (b - c)/bc + (c - a)/ca
= [(ac - bc) + (ab - ac) + (bc - ab)]/abc
= 0/abc
= 0
原式=(x-y)+(x-z)/(x-y)(x-z)+(y-z)+(y-x)/(y-z)(y-x)+(z-y)+(z-x)/(z-x)(z-y)
=(x-y)/(x-y)(x-z)+(x-z)/(x-y)(x-z)+(y-z)/(y-z)(y-x)+(y-x)/(y-z)(y-x)+(z-y)/(z-x)(z-y)+(z-x)/(z-x)(z-y) =1/(x-z)+1/(x-y)+1/(y-x)+1/(y-z)+1/(z-x)+1/(z-y)
=[1/(x-z)+/(z-x)]+[1/(x-y)+1/(y-x)]+[1/(y-z)+1/(z-y)]
=0