真题
名校
1 . 复数
,且
,若
是实数,则有序实数对
可以是_________ .(写出一个有序实数对即可)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8409de34b357c6d6ee39680b196d68e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03b011f69dfc5262a3d82f64676739b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bd5b12f5f0b8fe69bf61df524f7b2d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b05f13f8c22690dbe03e13fea2462ac9.png)
您最近一年使用:0次
2016-12-02更新
|
1563次组卷
|
8卷引用:2007年普通高等学校招生考试数学(理)试题(湖北卷)
2007年普通高等学校招生考试数学(理)试题(湖北卷)(已下线)江苏省泗阳致远中学2009-2010学年高二下学期期末考试数学试题(已下线)2014届上海市闵行区高三下学期教育质量调研(二模)理科数学试卷(已下线)2014届上海市闵行区高三下学期教育质量调研(二模)文科数学试卷上海市向明中学2018-2019学年高二下学期期中数学试题上海市向明中学2017-2018学年高三下学期开学考数学试题浙江省绍兴市第一中学2023-2024学年高一平行班下学期期中考试数学试卷(已下线)核心考点4 复数及其运算 B提升卷 (高一期末考试必考的10大核心考点)
真题
名校
2 . 设
是定义在
上的函数,且
,对任意
,若经过点
的直线与
轴的交点为
,则称
为
关于函数
的平均数,记为
,例如,当
时,可得
,即
为
的算术平均数.
当![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3c988d875438535244ee2b092a779b.png)
________
时,
为
的几何平均数;
当![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3c988d875438535244ee2b092a779b.png)
________
时,
为
的调和平均数
;
(以上两空各只需写出一个符合要求的函数即可)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2684b72f9f38f5046c8ecd4280b7b14b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2960b33c3dca1e3acda4ebc7e59abaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7615495e833d173a8845b19405ba3a10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62e6649d4c9b13dfff3630d83766e585.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a6a23e27276b0531b9538b54d8fb9ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c22de602b384f193d8b19985234c59d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62e6649d4c9b13dfff3630d83766e585.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3c988d875438535244ee2b092a779b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab03556c333ab0b55fe86c937b2a5763.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62e6649d4c9b13dfff3630d83766e585.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3c988d875438535244ee2b092a779b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab03556c333ab0b55fe86c937b2a5763.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62e6649d4c9b13dfff3630d83766e585.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eafd0e253a0a62512d50c656de3dc2e9.png)
(以上两空各只需写出一个符合要求的函数即可)
您最近一年使用:0次
2016-12-03更新
|
2185次组卷
|
4卷引用:2014年全国普通高等学校招生统一考试理科数学(湖北卷)
真题
3 . 为防止某突发事件发生,有甲、乙、丙、丁四种相互独立的预防措施可供采用,单独采用甲、乙、丙、丁预防措施后此突发事件不发生的概率(记为P)和所需费用如下表:
预防方案可单独采用一种预防措施或联合采用几种预防措施,在总费用不超过120万元的前提下,请确定一个预防方案,使得此突发事件不发生的概率最大.
预防措施 | 甲 | 乙 | 丙 | 丁 |
P | 0.9 | 0.8 | 0.7 | 0.6 |
费用(万元) | 90 | 60 | 30 | 10 |
您最近一年使用:0次
真题
4 . 已知不等式
,其中
为大于
的整数,
表示不超过
的最大整数.设数列
的各项为正,且满足
,
,
,….
(1)证明:
,
,…;
(2)猜测数列
是否有极限?如果有,写出极限的值(不必证明);
(3)试确定一个正整数
,使得当
时,对任意
,都有
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25b3e09305464f532ebd9c030851b4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a93e80e9b45f0ab3b3c67f72a9e32a01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bb87deb79a7ccdc02a991fa2788145f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/027ff3b50b4e770367c35231c6e4cf95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/832fede938e085a2247e540f0f843135.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d8978869e64ccf247c75fc6a3c71981.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6cde483f0bf2f20adfda6ba91e305b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dbe0909ff7ada1fd4a919abb847c4f8.png)
(2)猜测数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(3)试确定一个正整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1563da7b0f046a469476668a3686e8f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57313fdbae9b8e7d8b7f17423a037361.png)
您最近一年使用:0次