已知2m-3n/3m+n=2,求4m-6n/9m+3n+18m+6n/4m-6n的值

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/23 06:29:22
已知2m-3n/3m+n=2,求4m-6n/9m+3n+18m+6n/4m-6n的值已知2m-3n/3m+n=2,求4m-6n/9m+3n+18m+6n/4m-6n的值已知2m-3n/3m+n=2,求

已知2m-3n/3m+n=2,求4m-6n/9m+3n+18m+6n/4m-6n的值
已知2m-3n/3m+n=2,求4m-6n/9m+3n+18m+6n/4m-6n的值

已知2m-3n/3m+n=2,求4m-6n/9m+3n+18m+6n/4m-6n的值
题目不清晰,应该是这个吧:
已知(2m-3n)/(3m+n)=2,求(4m-6n)/(9m+3n)+(18m+6n)/(4m-6n)的值

已知(2m-3n)/(3m+n)=2,所以(4m-6n)/(9m+3n)=2/3*(2m-3n)/(3m+n)=2/3*2=4/3
(18m+6n)/(4m-6n)=6/2*1/2=3/2
所以(4m-6n)/(9m+3n)+(18m+6n)/(4m-6n)=4/3+3/2=17/6
即(4m-6n)/(9m+3n)+(18m+6n)/(4m-6n)的值为17/6

4m-6n/9m+3n=(2/3)*(2m-3n/3m+n)=4/3
18m+6n/4m-6n=(6/2)*(3m+n/2m-3n)=3*(1/2)=3/2
最后4m-6n/9m+3n+18m+6n/4m-6n=4/3+3/2=17/6