1.已知m/n=5/3,求(m/m+n)+(m/m-n)-(m²/m²-n²)的值
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1.已知m/n=5/3,求(m/m+n)+(m/m-n)-(m²/m²-n²)的值
1.已知m/n=5/3,求(m/m+n)+(m/m-n)-(m²/m²-n²)的值
1.已知m/n=5/3,求(m/m+n)+(m/m-n)-(m²/m²-n²)的值
m/n=5/3,求(m/m+n)+(m/m-n)-(m²/m²-n²)
n=3/5m
通分则
(m/m+n)+(m/m-n)-(m²/m²-n²)=(m²-mn+m²+mn-m²)/m²-n²
=m²/m²-n²
=m²/m²-(3/5m)²=25/16
是不是输错了?合并之后是1+n^2...
25/16
(m/m+n)+(m/m-n)-(m²/m²-n²)
=1+n+1-n-1+n²
=1+n²
=1+9
=10
(m/m+n)+(m/m-n)通分=>2m²/m²-n²
相减后得m²/m²-n²
由于m/n=5/3,变形得:n=3/5 m
代入消元得:25/16