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用简便方法计算：I1/11-1/12I+I1/12-1/13I+I1/14-1/13I
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用简便方法计算：I1/11-1/12I+I1/12-1/13I+I1/14-1/13I
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答案和解析
1/11-1/12﹥0,1/12-1/13﹥0,1/14-1/13﹤0
| 1/11-1/12 |+| 1/12-1/13 |+| 1/14-1/13 |
=1/11-1/12+1/12-1/13-(1/14-1/13)
=1/11-1/13-1/14+1/13
=1/11-1/14
=3/154
| 1/11-1/12 |+| 1/12-1/13 |+| 1/14-1/13 |
=1/11-1/12+1/12-1/13-(1/14-1/13)
=1/11-1/13-1/14+1/13
=1/11-1/14
=3/154
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