名校
1 . 已知复数
满足
,复数
满足
,则复数
对应复平面上的点构成区域的面积是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64ec00601d3297c94a1a224421df7d1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adcc78b50e4eb2ef6076b0ef4fab732d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12feaea403cbb93f98f1e76bd093c9e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adcc78b50e4eb2ef6076b0ef4fab732d.png)
您最近一年使用:0次
2024-04-22更新
|
312次组卷
|
5卷引用:上海市建平中学2023-2024学年高一下学期期中教学质量检测数学试题
上海市建平中学2023-2024学年高一下学期期中教学质量检测数学试题(已下线)第9章 复数(单元测试卷)-同步精品课堂(沪教版2020必修第二册)(已下线)9.2 复数的几何意义-同步精品课堂(沪教版2020必修第二册)上海市朱家角中学2023-2024学年高一下学期第二阶段质量检测数学试题(已下线)专题04复数-期末考点大串讲(沪教版2020必修二)
名校
解题方法
2 . 已知椭圆
,经过仿射变换
,则椭圆变为了圆
,并且变换过程有如下对应关系:①点
变为
;②直线斜率k变为
,对应直线的斜率比不变;③图形面积S变为
,对应图形面积比不变;④点、线、面位置不变(平行直线还是平行直线,相交直线还是相交直线,中点依然是中点,相切依然是相切等).过椭圆
内一点
作一直线与椭圆相交于C两点
,则
的面积的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/513a0d65c80b714d5fec54047babb965.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0591e83b82a112dfdfd33d2fc0598fc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7775aa57ca0e62216f3039ed88dceed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5810eff0d5ee1b8d40eb1371bcbf3986.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1584beab4b00b6b109eab85861d9ce19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76a150679a41640f65ddf53b3f696d5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c82e7d9f4f7ace849e09e9adcb786b7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9deb20b57fe0b94ca8520b55298d6c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
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2023-11-24更新
|
241次组卷
|
4卷引用:湖北省云学名校联盟2023-2024学年高二上学期期中联考数学试题
湖北省云学名校联盟2023-2024学年高二上学期期中联考数学试题山东省新泰市第一中学东校2023-2024学年高二上学期第二次质量检测数学试题山东省新泰市第一中学东校2023-2024学年高二上学期第二次月考数学试题(已下线)第28题 通性通法为根基,设参变换有妙招(优质好题一题多解)
解题方法
3 . 为满足群众就近健身和休闲的需求,很多城市开始规划建设“口袋公园”.如图,在扇形“口袋公园”OPQ中,准备修一条三角形健身步道OAB,已知扇形的半径
,圆心角
,A是扇形弧上的动点,B是半径OQ上的动点,
,则
面积的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07445aa3909818a3ef93bb01182f545f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fa94bd35e038c38c4ed95bb757ea688.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd3462c2ed8cf90fd7cb391c38bbe6aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/16/6781fed5-54a7-4291-84c5-80c79288405f.png?resizew=141)
您最近一年使用:0次
2023高三·全国·专题练习
名校
解题方法
4 . 已知阻值分别为
,
(
,
均不为0)的两种电阻,连接成两个不同的电路图,分别如图1、图2所示,它们的总阻值分别记为
,
.则
,
的大小关系为______ ;若
,则
的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9efc18a5bb2e53586331b2a58538a48b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f20f21a9d50b61dac519a3ddab539d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9efc18a5bb2e53586331b2a58538a48b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f20f21a9d50b61dac519a3ddab539d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3809dcdc5e9eb9e901c827698e04e21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11be83809dffb480b3a9769219710762.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3809dcdc5e9eb9e901c827698e04e21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11be83809dffb480b3a9769219710762.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b4389f4d8a4520456ad964c1e270eb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11be83809dffb480b3a9769219710762.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/29/0f26ca62-78ea-4038-854b-71a8e2b98a8b.png?resizew=306)
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5 . 在
中,
,
,若
为其重心,试用
,
表示
为________ ;若
为其外心,满足
,且
,则
的最大值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a79f2cfa5e197f859d8cac3d2287ece9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f39282450bc4833027a7bdfa81c39f62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fc82b2473d4295b1f6351c46b7f1fd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61a6510ac6350e9df2a3540fd459e31c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf1e9198ee4a149e2d3858b2c92990ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2023高三·全国·专题练习
解题方法
6 . 已知圆锥SO的轴截面
是边长为2的等边三角形,M为母线SA的中点,N为AB上靠近点B的三等分点,C位于底面圆周上,且
.若过劣弧
上的动点P作AB的平行线交OC于点Q,则三棱锥M-PQN体积的最大值为______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72e49817548cb45b3d1e58570644c6fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/183ec02812ee8cda06c714eb3cee0ad1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed41d321f4c0717ac5b443aad942d9a7.png)
您最近一年使用:0次
2023·全国·模拟预测
解题方法
7 . 已知长方形纸片
中,
,点
分别是边
上的动点,且
,将长方形纸片
沿
进行翻折,使得
,连接
,得到一个三棱柱
,如图.已知三棱柱
的体积是10,当三棱柱
的外接球的表面积取得最小值时,
的面积是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc34db5860990e51ba31edc8cdd077c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5c4cd264c97c1f261229925cc5a6761.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab00e0cff0876c4183a47f1272cf9928.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad6eb637795c7fef598919a6ef733a29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73caf2603a24e46eae3a4e552bc70294.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc375393482e61a0bf94e758046996f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc375393482e61a0bf94e758046996f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc375393482e61a0bf94e758046996f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d4cacd518769ce19310f5d9c6e73b86.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/20/64dc0130-24bd-494d-8a97-2469abafa658.png?resizew=170)
您最近一年使用:0次
名校
8 . 已知
,
,给出下列结论:
①若
,
,则B的值唯一;
②若
,则
有最大值;
③若
,则
的最小值为
.
其中,所有正确的结论序号为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f08ce80e91fdf435a8e3ec05be990e9d.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65f9c88edac18a30697feb5a9956b70b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc8c65bea2c80af038768b74250c694e.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35e1bd4f72b3edd9647378d1191857fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5cbff84327e964f912a54032e76ccc9.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e71c76949f930de79abdbddacf243b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5201fc26d013f6fb889933c0e32f5c53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d63d1200ef5de2c40f2022af10a87b74.png)
其中,所有正确的结论序号为
您最近一年使用:0次
解题方法
9 . 如图的实验装置是由两块互相垂直的正方形木板构成的.已知两个正方形的边长都为
,在正方形
的对角线
上有一滑片
,在正方形
的对角线
上有一滑片
,无论两个滑片如何滑动,始终满足滑片
到点
的距离等于滑片
到点
的距离.则四面体
体积的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dde327febef2331a4766a79b433cc02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e25e3444b32197148084b75af530817c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/20/ea31664a-1973-491c-942b-4bf7e5328853.png?resizew=167)
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