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I3/1-2/1I+I4/1-3/1I+I5/1-4/1I+.+I2003/1-2002/1I=I为绝的直
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I3/1-2/1I+I4/1-3/1I+I5/1-4/1I+.+I2003/1-2002/1I=
I为绝的直
I为绝的直
▼优质解答
答案和解析
分子分母打反了吧...
|1/3 - 1/2| = 1/2 - 1/3
|1/4 - 1/3| = 1/3 - 1/4
...
|1/2003 - 1/2002| = 1/2002 - 1/2003
---------------------------------------------------------(+
原式 = 1/2 - 1/2003 = 2003/4006 - 2/4006 = 2001/4006
|1/3 - 1/2| = 1/2 - 1/3
|1/4 - 1/3| = 1/3 - 1/4
...
|1/2003 - 1/2002| = 1/2002 - 1/2003
---------------------------------------------------------(+
原式 = 1/2 - 1/2003 = 2003/4006 - 2/4006 = 2001/4006
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