名校
1 . 记关于
的代数式为
,它满足以下关系:①
;②
;③
;④
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0762cfad158ad54cf978f31acd22dc39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c64e75167a521c18e32c6034d9fe26a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d32d7e01fa8d3d08ec3f76595662f5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f98d3e576b73314d4f56acfc3039fb28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9352754c215d45068abffbaafa93640.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9b27b45d8b2dd74d6b7bcbedc87d27.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
2 . 全集
,
,定义函数
,
.设全集为
,
,
,则下列说法中正确的是( ).
①若
,都有
,则
;
②若
,都有
,则
;
③若
,则
,都有
;
④若
,则
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc52c513c4ff65ca6dde28e82302e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45020afb5156159ad42add5537797ee7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e872052669dbffeda6827fed0315019c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc72e9d842d81b16d21b9dfdbdd14981.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b52b4f24969673c863b5aff4fb6751ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45020afb5156159ad42add5537797ee7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c38edfcbc6d0348a9fc75376f629909.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5acc91e3b2cf95ecb5ddbb5cce61643a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0063de7a6fcec0121a9b8836b644e2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5acc91e3b2cf95ecb5ddbb5cce61643a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6409ca7b7ab3c4aa4e0b9abc8d2cb066.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea9a4259cca10c1f5af28e621ebafd6.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7dcbd7f44645b8c707627ab0795e18b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5acc91e3b2cf95ecb5ddbb5cce61643a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4af5eb3032e06dcb7e685a45a66cfa4.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e3f395c9e43594f9fa1551abc2b0463.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7dcbd7f44645b8c707627ab0795e18b.png)
A.①② | B.①③ | C.①②④ | D.③④ |
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3 . 设
,若正实数
满足:
则下列选项一定正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e429c6e3c0c2cd338a77cba2901b0244.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d10449bc77d692a7270e0f20a68cdf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c9b14d6ae2d9cd7268f76d00cd09a93.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
4 . 黎曼函数
是由德国数学家黎曼发现并提出的,在高等数学中有着广泛的应用,
在
上的定义为:当
(
,且
,
为互质的正整数)时,
;当
或
或
为
内的无理数时,
.已知
,
,
,则( )注:
,
为互质的正整数
,即
为已约分的最简真分数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9966dfe9109671c587892bd32f0b6699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9966dfe9109671c587892bd32f0b6699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ec4622d03afb89bddc6ae300753322d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/342b666f58972815306763d9ccc3bc6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18a15214d0110a87d0f56c802f6855b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7160d93f92089ef36f3dab809d3114b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df21bcb07cb594d6614230b2317942f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19fd80e5bcbf298bb8db926ff3066ad1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5140fd08693355e89abeb26c5e1658cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80fae5316b075ca2cd43e017b62bebe2.png)
A.![]() ![]() | B.![]() |
C.![]() | D.以上选项都不对 |
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2021-05-29更新
|
1678次组卷
|
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