当X/2=Y/3=Z/4时,求X-2Y+3Z/XY+2YZ+3YZ的值

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当X/2=Y/3=Z/4时,求X-2Y+3Z/XY+2YZ+3YZ的值当X/2=Y/3=Z/4时,求X-2Y+3Z/XY+2YZ+3YZ的值当X/2=Y/3=Z/4时,求X-2Y+3Z/XY+2YZ+

当X/2=Y/3=Z/4时,求X-2Y+3Z/XY+2YZ+3YZ的值
当X/2=Y/3=Z/4时,求X-2Y+3Z/XY+2YZ+3YZ的值

当X/2=Y/3=Z/4时,求X-2Y+3Z/XY+2YZ+3YZ的值

x/2=y/3=z/4=t
则x=2t,y=3t,z=4t
代数式=(2t-6t+12t)/(6t²+24t²+36t²)=8t/66t²=4/33t
貌似题目有问题吧?

设x/2=y/3=z/4=k,所以,x=2k,y=3k,z=4k
所以,原式=2k-6k+(12k)/6k^2+24k^2+36K^2