问题
填空题
观察下列各式: 1-
根据上面的等式所反映的规律,填空:1-
|
答案
∵1-
=1 22
×1 2
=(1-3 2
)(1+1 2
);1-1 2
=1 32
×2 3
=(1-4 3
)(1+1 3
);1-1 3
=1 42
×3 4
=(1-5 4
)(1+1 4
).…1 4
∴1-
=(1-1 502
)(1+1 50
)=1 50
×49 50
,51 50
1-
=(1-1 20132
)(1+1 2013
)=1 2013
×2012 2013
.2014 2013
故答案为:
×49 50
,51 50
×2012 2013
.2014 2013