求解一道初中奥赛数学题!1-1/2+1/3-1/4+1/5-1/6+1/7-1/8+.+1/2011-1/2012=?求解过程……麻烦……不要开玩笑
来源:学生作业帮助网 编辑:作业帮 时间:2024/08/05 07:39:15
![求解一道初中奥赛数学题!1-1/2+1/3-1/4+1/5-1/6+1/7-1/8+.+1/2011-1/2012=?求解过程……麻烦……不要开玩笑](/uploads/image/z/7555393-1-3.jpg?t=%E6%B1%82%E8%A7%A3%E4%B8%80%E9%81%93%E5%88%9D%E4%B8%AD%E5%A5%A5%E8%B5%9B%E6%95%B0%E5%AD%A6%E9%A2%98%211-1%2F2%2B1%2F3-1%2F4%2B1%2F5-1%2F6%2B1%2F7-1%2F8%2B.%2B1%2F2011-1%2F2012%EF%BC%9D%3F%E6%B1%82%E8%A7%A3%E8%BF%87%E7%A8%8B%E2%80%A6%E2%80%A6%E9%BA%BB%E7%83%A6%E2%80%A6%E2%80%A6%E4%B8%8D%E8%A6%81%E5%BC%80%E7%8E%A9%E7%AC%91)
求解一道初中奥赛数学题!1-1/2+1/3-1/4+1/5-1/6+1/7-1/8+.+1/2011-1/2012=?求解过程……麻烦……不要开玩笑
求解一道初中奥赛数学题!
1-1/2+1/3-1/4+1/5-1/6+1/7-1/8+.+1/2011-1/2012=?
求解过程……麻烦……不要开玩笑求解一道初中奥赛数学题!1-1/2+1/3-1/4+1/5-1/6+1/7-1/8+.+1/2011-1/2012=?求解过程……麻烦……不要开玩笑
1-1/2+1/3-1/4+.+1/2011-1/2012
=(1+1/3+1/5+.+1/2011)-(1/2+1/4+.+1/2012)
=(1+1/3+1/5+.+1/2011+1/2+1/4+.+1/2012)-(1/2+1/2+1/4+1/4+.+1/2012+1/2012)
=(1+1/2+1/3+1/4+.+1/2011+1/2012)-(1+1/2+1/3+.+1/1006)
=1/1007+1/1008+1/1009+.+1/2011+1/2012
我找不到更好的结果了1
1-1/2+1/3-1/4+.....+1/2011-1/2012
=(1+1/3+1/5+....+1/2011)-(1/2+1/4+....+1/2012)
=(1+1/3+1/5+.....+1/2011+1/2+1/4+.....+1/2012)-(1/2+1/2+1/4+1/4+.....+1/2012+1/2012)
=(1+1/2+1/3+1/4+.....+1/2011+1/2012)-(1+1/2+1/3+....+1/1006)
=1/1007+1/1008+1/1009+....+1/2011+1/20121-1/2+1/3-1/4+.....+1/2011-1/2012
=(1+1/3+1/5+....+1/2011)-(1/2+1/4+....+1/2012)
=(1+1/3+1/5+.....+1/2011+1/2+1/4+.....+1/2012)-(1/2+1/2+1/4+1/4+.....+1/2012+1/2012)
=(1+1/2+1/3+1/4+.....+1/2011+1/2012)-(1+1/2+1/3+....+1/1006)
=1/1007+1/1008+1/1009+....+1/2011+1/2012
这小学生也会。上式=(1+1/3+1/5+......+1/2011)-(1/2+1/4+1/6+......+1/2012)
这两个式子应该是有两个 “ 求和公式” 的,我忘了,你再上网查查看吧,,就能帮你到这里了