1 . 映射由德国数学家戴德金在1887年提出,曾被称为“基础数学中最为美妙的灵魂”,在计算机科学、数学以及生活的方方面面都有重要的应用.例如,在新高考中,不同选考科目的原始分要利用赋分规则,映射到相应的赋分区间内,转换成对应的赋分后再计入总分.下面是某省选考科目的赋分规则:
等级原始分占比赋分区间
若小华选考政治的原始分为82,对应等级A,且等级A的原始分区间为[81,87],则小华的政治成绩对应的赋分为( )
等级原始分占比赋分区间
A | 3% | [91,100] |
B+ | 79% | [81,90] |
B | 16% | [71,80] |
C+ | 24% | [61,70] |
C | 24% | [51,60] |
D+ | 16% | [41,50] |
D | 7% | [31,40] |
E | 3% | [21,30] |
转换对应赋分T的公式:![]() 其中,Y1,Y2,分别表示原始分Y对应等级的原始分区间下限和上限;T1,T2,分别表示原始分对应等级的赋分区间下限和上限(T的结果按四舍五入取整数) |
A.91 | B.92 | C.93 | D.94 |
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2011·四川成都·一模
名校
2 . a、b为实数,集合
表示把集合M中的元素x映射到集合N中仍为x,则![](https://img.xkw.com/dksih/QBM/2010/8/23/1569819628273664/1569819633262592/STEM/7936f2800a3546148d8fe1c4d9a61311.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/672cb8c3772969686040b857c826c907.png)
![](https://img.xkw.com/dksih/QBM/2010/8/23/1569819628273664/1569819633262592/STEM/7936f2800a3546148d8fe1c4d9a61311.png)
A.1 | B.0 | C.-1 | D.±1 |
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3 . 平面向量的集合
到
的映射
由
确定,其中
为常向量.若映射
满足
对任意
、
恒成立,则
的坐标可能是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f952814db9664c2ea7051ba3aed8d2c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d72b2a51d39e73f1eca2a58963ddfc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/552355ddba8eef1ca3bf15eb53d79622.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/476aa757a11502511e3d4295c9dec946.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2016-12-04更新
|
441次组卷
|
3卷引用:2017届河北省五个一名校联盟高三上学期一模数学(文)试卷
4 . 如图,在平面直角坐标系
中,
、
、
,映射
将
平面上的点
对应到另一个平面直角坐标系
上的点
,则当点
沿着折线
运动时,在映射
的作用下,动点
的轨迹是( )
![](https://img.xkw.com/dksih/QBM/2012/8/9/1570961329774592/1570961335099392/STEM/6d66f2695bdb43ff939246015f218f83.png?resizew=103)
![](https://img.xkw.com/dksih/QBM/2012/8/9/1570961329774592/1570961335099392/STEM/0710e284009a43058f80bf83fe7a055a.png?resizew=32)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8748dc55e2f45bc37fc4d84d7310f79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18d3bfa155ad67018da4d65815c5e5b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc897ec79f696bb61692c1e24275c842.png)
![](https://img.xkw.com/dksih/QBM/2012/8/9/1570961329774592/1570961335099392/STEM/54460a51c39446e88dcc016049b3043c.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2012/8/9/1570961329774592/1570961335099392/STEM/0710e284009a43058f80bf83fe7a055a.png?resizew=32)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee82283f06cedef32eb15b87964f5d2.png)
![](https://img.xkw.com/dksih/QBM/2012/8/9/1570961329774592/1570961335099392/STEM/b54a536f7c7d4bb99d513cfa5b1e5a61.png?resizew=36)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcd50844f145dc5b289cf83266bffc57.png)
![](https://img.xkw.com/dksih/QBM/2012/8/9/1570961329774592/1570961335099392/STEM/7cc6ed650c16445aa5cbb25e84ab03ce.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2012/8/9/1570961329774592/1570961335099392/STEM/da8f45fa5e284f85813882bed21ad9ff.png?resizew=68)
![](https://img.xkw.com/dksih/QBM/2012/8/9/1570961329774592/1570961335099392/STEM/54460a51c39446e88dcc016049b3043c.png?resizew=16)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cee6765a83140d745a6de4c85d9b6b50.png)
![](https://img.xkw.com/dksih/QBM/2012/8/9/1570961329774592/1570961335099392/STEM/6d66f2695bdb43ff939246015f218f83.png?resizew=103)
A.![]() | B.![]() | C.![]() | D.![]() |
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2012-08-09更新
|
1154次组卷
|
8卷引用:2011年湖南省嘉禾一中高三第一次学情摸底考试数学卷
(已下线)2011年湖南省嘉禾一中高三第一次学情摸底考试数学卷(已下线)2012届广东省中山一中高三热身练文科数学试卷(已下线)2011届浙江省杭州市萧山九中高三寒假作业数学卷一(已下线)专题9.8 曲线与方程(练)【理】-《2020年高考一轮复习讲练测》(已下线)专题9.8 曲线与方程-2021年高考数学(理)一轮复习-题型全归纳与高效训练突破(已下线)专题9.6 曲线与方程(精练)-2021年高考数学(理)一轮复习学与练(已下线)第45讲++曲线与方程(练)—2022年高考数学一轮复习讲练测(课标全国版)上海市建平中学2022届高三下学期期中数学试题
5 . 给定集合
,
.若
是
的映射,且满足:
(1)任取
若
,则
;
(2)任取
若
,则有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
.
则称映射
为
的一个“优映射”.
例如:用表1表示的映射
:
是一个“优映射”.
(1)已知
:
是一个“优映射”,请把表2补充完整(只需填出一个满足条件的映射);
(2)若
:
是“优映射”,且
,则
的最大值为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe05c3181726d202d021050807378989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22c3373a475f821448143d482d7c0a35.png)
(1)任取
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb9bf1b1e8252575a125b96205fa7f94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b71af6590f0f369c164a054a8b63bf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e2c865ebac120a4d1e17838ac9dc0ed.png)
(2)任取
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea0eb2f420c6146a0809f01cb3168f49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72ac49ab7c8001c209b8611b9ea40d85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f1cd15d46d4fc519ea93da0a7a82a01.png)
则称映射
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22c3373a475f821448143d482d7c0a35.png)
例如:用表1表示的映射
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fea9eeefda7a3bfe23534700357fbacc.png)
![](https://img.xkw.com/dksih/QBM/2010/5/7/1569719408353280/1569719413235712/STEM/797e61008ba34754be722c407271f92c.png?resizew=371)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fe7704aeb096266ab863326b66111d4.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d3845688835f0814a09988b60bb10a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b33ab7193cc5c5ba34a562e8fb88eff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7182ecaf595d62eed86814216dc80eb8.png)
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