1 . 已知
,
或1,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6227cce99354c34b73c9e49a286348d.png)
,对于
,
表示U和V中相对应的元素不同的个数.
(Ⅰ)令
,存在m个
,使得
,写出m的值;
(Ⅱ)令
,若
,求证:
;
(Ⅲ)令
,若
,求所有
之和.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31837aec92b0162a04e9f58f8262fa30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca64ef9e0c3dd14e99d113dbbe973ace.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6227cce99354c34b73c9e49a286348d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abf69bf5086355a30f15078f436abcce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53864621c2e22d49665fcd192c838584.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71c18b66ea7fcc351a06f6bf6483f6fc.png)
(Ⅰ)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afcec0bc8c9ba2feb834e1ad5d0e4747.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52bcfad9a2c32adbcbb4e0cd430baad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c4d9c2efd5fbc471445c9b52984ee50.png)
(Ⅱ)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a713dcfb247321b9b210164d28f2afef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53864621c2e22d49665fcd192c838584.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5dc2e70c298b723c3f3b35381f53011.png)
(Ⅲ)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1abd07ce63b846e07579191990771816.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a077bff58ed914f0fef9eba2c9095224.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71c18b66ea7fcc351a06f6bf6483f6fc.png)
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2016-11-30更新
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6卷引用:2015届北京市第四中学高三上学期期中考试理科数学试卷
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