Question

計(jì)算：1×

1

1× 1 1× 1 1× 1 1× 1 1 +1 +1 +1 +1

+1=

 

．

Answer 1

考點(diǎn)：繁分?jǐn)?shù)的化簡(jiǎn)

專題：計(jì)算問(wèn)題（巧算速算）

分析：此題設(shè)計(jì)新穎，通過(guò)仔細(xì)觀察，從下往上逐步計(jì)算，進(jìn)而得出結(jié)果．

解答： 解：1×

1

1× 1 1× 1 1× 1 1× 1 1 +1 +1 +1 +1

+1
=1×

1

1× 1 1× 1 1× 1 1+1 +1 +1 +1

+1
=1×

1

1× 1 1× 1 3 2 +1 +1

+1
=1×

1

1× 1 1× 2 3 +1 +1

+1
=1×

1

1× 1 5 3 +1

+1
=1×

1

3 5 +1

+1
=1×

1

8 5

+1
=1×

5

8

+1
=

5

8

+1
=

13

8

故答案為：

13

8

．

點(diǎn)評(píng)：此題設(shè)計(jì)新穎，構(gòu)思巧妙，應(yīng)仔細(xì)觀察，抓住特點(diǎn)，巧妙解答．