數學題 (中二級)

2011-08-23 9:41 pm
已知公式m=1-2t/1+t及n=1-t/2(t+1),試只以m表示n。
答案 ; n=2m+1/6 。
我要計算的過程(我要detail D with process) 谢谢!

回答 (1)

2011-08-23 10:24 pm
✔ 最佳答案
m=(1-2t)/(1+t)
m(1+t)=1-2t
m+mt=1-2t
mt+2t=1-m
t(m+2)=1-m
t=(1-m)/(m+2)

n=(1-t)/[2(t+1)]
n=(1-t)/(2t+2)
n=[1-(1-m)/(m+2)]/[2(1-m)/(m+2)+2]
n=[(m+2)/(m+2)-(1-m)/(m+2)]/[2(1-m)/(m+2)+2(m+2)/(m+2)]
n=[(m+2-1+m)/(m+2)]/[(2-2m+2m+4)/(m+2)]
n=[(2m+1)/(m+2)]/[6/(m+2)]
n=(2m+1)/6


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