试一试:已知X/3=Y/4=Z/6不等于0,求分式X+Y-Z/X-Y+Z的值K怎么来!
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/28 16:43:00
![试一试:已知X/3=Y/4=Z/6不等于0,求分式X+Y-Z/X-Y+Z的值K怎么来!](/uploads/image/z/2528246-38-6.jpg?t=%E8%AF%95%E4%B8%80%E8%AF%95%3A%E5%B7%B2%E7%9F%A5X%2F3%3DY%2F4%3DZ%2F6%E4%B8%8D%E7%AD%89%E4%BA%8E0%2C%E6%B1%82%E5%88%86%E5%BC%8FX%2BY-Z%2FX-Y%2BZ%E7%9A%84%E5%80%BCK%E6%80%8E%E4%B9%88%E6%9D%A5%EF%BC%81)
试一试:已知X/3=Y/4=Z/6不等于0,求分式X+Y-Z/X-Y+Z的值K怎么来!
试一试:已知X/3=Y/4=Z/6不等于0,求分式X+Y-Z/X-Y+Z的值
K怎么来!
试一试:已知X/3=Y/4=Z/6不等于0,求分式X+Y-Z/X-Y+Z的值K怎么来!
令X/3=Y/4=Z/6=K
X=3K
Y=4K
Z=6K
(X+Y-Z)/(X-Y+Z)
=(3K+4K-6K)/(3K-4K+6K)
=K/5K
=1/5
因为X/3=Y/4=Z/6不等于0,所以可以假定是除0外的任何数,比如K.
即X/3=K Y/4=K Z/6=K
所以X=3K Y=4K Z=6K
故(X+Y-Z)/(X-Y+Z)=1/5