求助!!鄙人碰到了数学魔鬼,快来相救!!只有2道题哟!

2025-06-23 09:55:06
推荐回答(1个)
回答1:

1/2 =1-(1/1)*(1/2) =1-(1/1-1/2)
5/6 =1-(1/2)*(1/3) =1-(1/2-1/3)
11/12 =1-(1/3)*(1/4) =1-(1/3-1/4)
…… =…… =……
9899/9900=1-(1/99)*(1/100)=1-(1/99-1/100)
-------------------------------(右边括号加起来)
+ =99-(省略) =99-(1-1/2+1/2-1/3+1/3……+1/98-1/99+1/99-1/100)
=99-(1-1/100)
=98.01

第二题用勾股定理即可解答,即直角三角形的两条直角边的平方和等于斜边(即时题中的对角线)的平方
所以对角线长=(12.56×12.56+5*5)的开方