阅读理解 1/1*2=1/1-1/2 1/2*3=1/2-1/3 1/3*4=1/3-1/4...∴计算1/1*2+1/2*3+1/3*4+...+1/2004*2005=1/1-1/2+1/2-1/3+1/3-1/4+§+1/2004-1/2005=1-1/2005=2004/2005理解以上方法的真正含义,计算:1/1*3+1/3*5+§+1/2007*2009
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![阅读理解 1/1*2=1/1-1/2 1/2*3=1/2-1/3 1/3*4=1/3-1/4...∴计算1/1*2+1/2*3+1/3*4+...+1/2004*2005=1/1-1/2+1/2-1/3+1/3-1/4+§+1/2004-1/2005=1-1/2005=2004/2005理解以上方法的真正含义,计算:1/1*3+1/3*5+§+1/2007*2009](/uploads/image/z/5337425-65-5.jpg?t=%E9%98%85%E8%AF%BB%E7%90%86%E8%A7%A3+1%2F1%2A2%3D1%2F1-1%2F2+1%2F2%2A3%3D1%2F2-1%2F3+1%2F3%2A4%3D1%2F3-1%2F4...%E2%88%B4%E8%AE%A1%E7%AE%971%2F1%2A2%2B1%2F2%2A3%2B1%2F3%2A4%2B...%2B1%2F2004%2A2005%3D1%2F1-1%2F2%2B1%2F2-1%2F3%2B1%2F3-1%2F4%2B%C2%A7%2B1%2F2004-1%2F2005%3D1-1%2F2005%3D2004%2F2005%E7%90%86%E8%A7%A3%E4%BB%A5%E4%B8%8A%E6%96%B9%E6%B3%95%E7%9A%84%E7%9C%9F%E6%AD%A3%E5%90%AB%E4%B9%89%2C%E8%AE%A1%E7%AE%97%EF%BC%9A1%2F1%2A3%2B1%2F3%2A5%2B%C2%A7%2B1%2F2007%2A2009)
阅读理解 1/1*2=1/1-1/2 1/2*3=1/2-1/3 1/3*4=1/3-1/4...∴计算1/1*2+1/2*3+1/3*4+...+1/2004*2005=1/1-1/2+1/2-1/3+1/3-1/4+§+1/2004-1/2005=1-1/2005=2004/2005理解以上方法的真正含义,计算:1/1*3+1/3*5+§+1/2007*2009
阅读理解
1/1*2=1/1-1/2 1/2*3=1/2-1/3 1/3*4=1/3-1/4...
∴计算1/1*2+1/2*3+1/3*4+...+1/2004*2005
=1/1-1/2+1/2-1/3+1/3-1/4+§+1/2004-1/2005
=1-1/2005
=2004/2005
理解以上方法的真正含义,计算:
1/1*3+1/3*5+§+1/2007*2009
阅读理解 1/1*2=1/1-1/2 1/2*3=1/2-1/3 1/3*4=1/3-1/4...∴计算1/1*2+1/2*3+1/3*4+...+1/2004*2005=1/1-1/2+1/2-1/3+1/3-1/4+§+1/2004-1/2005=1-1/2005=2004/2005理解以上方法的真正含义,计算:1/1*3+1/3*5+§+1/2007*2009
1/1*3+1/3*5+§+1/2007*2009
=1/2×(1-1/3+1/3-1/5+……+1/2007-1/2009)
=1/2×(1-1/2009)
=1/2×2008/2009
=1004/2009