1/10+9又1/40+11又1/88+13又1/154+15又1/238 ！怎么计算
答案:1 悬赏:50 手机版
解决时间 2021-11-12 17:18
- 提问者网友：了了无期
- 2021-11-11 17:34
1/10+9又1/40+11又1/88+13又1/154+15又1/238 ！怎么计算
最佳答案
- 五星知识达人网友：迷人又混蛋
- 2021-11-11 18:08
1/10+9又1/40+11又1/88+13又1/154+15又1/238
=1/10+9+1/40+11+1/88+13+1/154+15+1/238
=9+11+13+15+1/10+1/40+1/88+1/154+1/238
=9+11+13+15+1/3*(1/2-1/5)+1/3*(1/5-1/8)+1/3*(1/8-1/11)+1/3*(1/11-1/14)+1/3*(1/14-1/17)
=48+1/3*(1/2-1/5+1/5-1/8+1/8-1/11+1/11-1/14+1/14-1/17)
=48+1/3*(1/2-1/17)
=48+1/3*(17/34-2/34)
=48+1/3*15/34
=48+5/34
=48又5/34
=1/10+9+1/40+11+1/88+13+1/154+15+1/238
=9+11+13+15+1/10+1/40+1/88+1/154+1/238
=9+11+13+15+1/3*(1/2-1/5)+1/3*(1/5-1/8)+1/3*(1/8-1/11)+1/3*(1/11-1/14)+1/3*(1/14-1/17)
=48+1/3*(1/2-1/5+1/5-1/8+1/8-1/11+1/11-1/14+1/14-1/17)
=48+1/3*(1/2-1/17)
=48+1/3*(17/34-2/34)
=48+1/3*15/34
=48+5/34
=48又5/34
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