1 . 当
时,有如下表达式:
两边同时积分得:
![](https://img.xkw.com/dksih/QBM/2013/7/17/1571285821030400/1571285826633728/STEM/4dd0dbc86a734c078f63f9b2e038c037.png?resizew=309)
从而得到如下等式:
![](https://img.xkw.com/dksih/QBM/2013/7/17/1571285821030400/1571285826633728/STEM/628391d6099a4522a465b95c20d50791.png?resizew=329)
请根据以上材料所蕴含的数学思想方法,计算:
![](https://img.xkw.com/dksih/QBM/2013/7/17/1571285821030400/1571285826633728/STEM/f0fa8ffff2e0482b8b120d084ad0ff76.png?resizew=344)
___________
![](https://img.xkw.com/dksih/QBM/2013/7/17/1571285821030400/1571285826633728/STEM/f471a4e6b4a84f8d97248b471a69075a.png?resizew=71)
![](https://img.xkw.com/dksih/QBM/2013/7/17/1571285821030400/1571285826633728/STEM/3a4633d7e6b6493fa11882028c19602f.png?resizew=177)
![](https://img.xkw.com/dksih/QBM/2013/7/17/1571285821030400/1571285826633728/STEM/4dd0dbc86a734c078f63f9b2e038c037.png?resizew=309)
从而得到如下等式:
![](https://img.xkw.com/dksih/QBM/2013/7/17/1571285821030400/1571285826633728/STEM/628391d6099a4522a465b95c20d50791.png?resizew=329)
请根据以上材料所蕴含的数学思想方法,计算:
![](https://img.xkw.com/dksih/QBM/2013/7/17/1571285821030400/1571285826633728/STEM/f0fa8ffff2e0482b8b120d084ad0ff76.png?resizew=344)
您最近一年使用:0次
真题
2 . 设S,T是R的两个非空子集,如果存在一个从S到T的函数
满足:
(i)
(ii)对任意![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c92833398cd51dd88ebdeb184564ed3.png)
那么称这两个集合“保序同构”,现给出以下3对集合:
①![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c605ad3dcb3ce808c6be02b8be15e83.png)
②![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b8b67948407309c23de93efa3819989.png)
③![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5da8a34d8e18ec5cc2e6270e23b859d4.png)
其中,“保序同构”的集合对的序号是_______ .(写出“保序同构”的集合对的序号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(i)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a74447d1dd3607ab34b222f3c3d30df4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c92833398cd51dd88ebdeb184564ed3.png)
那么称这两个集合“保序同构”,现给出以下3对集合:
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c605ad3dcb3ce808c6be02b8be15e83.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b8b67948407309c23de93efa3819989.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5da8a34d8e18ec5cc2e6270e23b859d4.png)
其中,“保序同构”的集合对的序号是
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