(1):1/1*2+1/2*3+1/3*4+1/4*5+.1/99*100=?(2):3/2-5/6+7/12-9/20+11/30-13/42+15/56?注:以上皆表示分数(符号除外),如:"1/2"表示二分之一,"1/2*3"表示六分之一.用简便运算解题,越简便越好!现在手头紧,有好的回答
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![(1):1/1*2+1/2*3+1/3*4+1/4*5+.1/99*100=?(2):3/2-5/6+7/12-9/20+11/30-13/42+15/56?注:以上皆表示分数(符号除外),如:](/uploads/image/z/10332350-62-0.jpg?t=%EF%BC%881%EF%BC%89%EF%BC%9A1%2F1%2A2%2B1%2F2%2A3%2B1%2F3%2A4%2B1%2F4%2A5%2B.1%2F99%2A100%3D%3F%282%29%3A3%2F2-5%2F6%2B7%2F12-9%2F20%2B11%2F30-13%2F42%2B15%2F56%3F%E6%B3%A8%3A%E4%BB%A5%E4%B8%8A%E7%9A%86%E8%A1%A8%E7%A4%BA%E5%88%86%E6%95%B0%28%E7%AC%A6%E5%8F%B7%E9%99%A4%E5%A4%96%29%2C%E5%A6%82%3A%221%2F2%22%E8%A1%A8%E7%A4%BA%E4%BA%8C%E5%88%86%E4%B9%8B%E4%B8%80%2C%221%2F2%2A3%22%E8%A1%A8%E7%A4%BA%E5%85%AD%E5%88%86%E4%B9%8B%E4%B8%80.%E7%94%A8%E7%AE%80%E4%BE%BF%E8%BF%90%E7%AE%97%E8%A7%A3%E9%A2%98%2C%E8%B6%8A%E7%AE%80%E4%BE%BF%E8%B6%8A%E5%A5%BD%21%E7%8E%B0%E5%9C%A8%E6%89%8B%E5%A4%B4%E7%B4%A7%2C%E6%9C%89%E5%A5%BD%E7%9A%84%E5%9B%9E%E7%AD%94)
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(1):1/1*2+1/2*3+1/3*4+1/4*5+.1/99*100=?(2):3/2-5/6+7/12-9/20+11/30-13/42+15/56?注:以上皆表示分数(符号除外),如:"1/2"表示二分之一,"1/2*3"表示六分之一.用简便运算解题,越简便越好!现在手头紧,有好的回答
(1):1/1*2+1/2*3+1/3*4+1/4*5+.1/99*100=?
(2):3/2-5/6+7/12-9/20+11/30-13/42+15/56?
注:以上皆表示分数(符号除外),如:"1/2"表示二分之一,"1/2*3"表示六分之一.
用简便运算解题,越简便越好!现在手头紧,有好的回答加分,
(1):1/1*2+1/2*3+1/3*4+1/4*5+.1/99*100=?(2):3/2-5/6+7/12-9/20+11/30-13/42+15/56?注:以上皆表示分数(符号除外),如:"1/2"表示二分之一,"1/2*3"表示六分之一.用简便运算解题,越简便越好!现在手头紧,有好的回答
1、1/1*2+1/2*3+1/3*4+1/4*5+.1/99*100
=1/1-1/2+1/2-1/3+1/3-1/4+.+1/99-1/100
=1-1/100
=99/100
2、原式=(1+1/2)-(1/2+1/3)+(1/3+1/4)-(1/4+1/5)+(1/5+1/6)-(1/6+1/7)+(1/7+1/8)
=1+1/8
=9/8
(1/2+1/3+...+1/2004)(1+1/2+1/3+...+1/2003)-(1+1/2+1/3+...+1/2004)(1/2+1/3+...+1/2003)
计算:(1/2+1/3+...+1/2011)*(1+1/2+1/3+...+1/2010)-(1+1/2+1/3+...+1/2011)*(1/2+1/3+...+1/2010)
计算(1-1/2-1/3-...-1/2010)*(1/2+1/3+..+1/2011)-(1-1/2-1/3-...-1/2011)*(1/2+1/3+...+1/2010)
(1/2+1/3+...+1/2007)*(1+1/2+1/3+...+1/2006)-(1+1/2+1/3+...+/2007)*(1/2+1/3+...+1/2006)
计算:(-1)-[1-(1-1/2*1/3)]*6
计算!(-1)-[1-(1-1/2*1/3)]*6
(1+1/2+1/3+...
(1/1+2)+(1/1+2+3)+…+(1/1+2+3…+2000)
200*(1-1/2)*(1-1/3)*(1-1/4)*.*(1-1/100)
(1-1/2^2)(1-1/3^2)K(1-1/10^2)
(1-1/2^2)(1-1/3^2)K(1-1/10^2)
2000*(1-1/2)*(1-1/3)*.*(1-1/1999)*(1-1/2000)
(1-1/2004)(1-2003)(1-2002)…(1-1/3)(1-1/2)
(1-1/2)(1-1/3)(1-1/4).(1-1/100)
计算 ( 1+1/2)*(1-1/3)*(1+1/4)*(1-1/5)*.*(1+1/1000)*(1-1/1001)
(1-1+2/1)*(1-1+2+3/1)……(1-1+2+3……2011/1)
1/1+1/(1+2)+1/(1+2+3)+.+1/(1+2+3+.+100)不用计算器
(1/2+1/3+...+1/2004)(1+1/2+...+1/2003)-(1+1/2+..+1/2004)(1/2+1/3+..+1/2003)