2022高三·全国·专题练习
1 . 点
为
内一点,若
,设
,则实数
和
的值分别为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5198c8f491e9fb5d71e420e439ecc39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6f6aebbd26b65f4f1395a8f31129a6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1100379a4385b9ce064847bc21760adc.png)
A.![]() ![]() | B.![]() ![]() | C.![]() ![]() | D.![]() ![]() |
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2022-12-29更新
|
2135次组卷
|
5卷引用:2016年清华大学自主招生暨领军计划数学试题
2016年清华大学自主招生暨领军计划数学试题(已下线)专题10 平面向量“奔驰定理”(已下线)6.3.1平面向量基本定理(精讲)(1)-【精讲精练】2022-2023学年高一数学下学期同步精讲精练(人教A版2019必修第二册)第九章 平面向量(A卷·基础提升练)-【单元测试】2022-2023学年高一数学分层训练AB卷(苏教版2019必修第二册)(已下线)重难点4-2 奔驰定理及三角“四心”向量式(5题型+满分技巧+限时检测)
2 . 设复数使得
和
的实部和虚部都是大于1的正数,记
在复面上对应的点构成几何图形
,则图形
的面积是( )
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
3 . 设
,
则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f502e77d9010bff82893928c637eea84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b401f0ce1fff18345ce150eed84c0ca3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 设
.若
在
上的最大值
在点
处取得,则曲线
在点
处的切线方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c439d36c981c0167f22c4e425b7c703a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4a1d0dba29a77dd111efcde543d6c1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f114df5ceabdb7e5fd3fdad4eaf056.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4657acdfb367745298096aa9746d8cfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f114df5ceabdb7e5fd3fdad4eaf056.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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5 . 有
项的数列
满足下列两个条件:
①对任意
,有
;
②对任意
,
,
和
中至少有一个是
中的项,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
①对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64ba130d188191c8387750124a8dd84a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/431acf301f0cf1e414b532de94708474.png)
②对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc3f50946ec857f9d3f5498daea5efbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/059a6c5a965c335b8da05e697da2c7c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f852566d6cb96bea4a990da2a282b2bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/176adaae5c5914ae4b27f845770cde3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
A.6 | B.7 | C.8 | D.9 |
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6 . 设正整数
,
,
满足
,
,则这样的
,
,
有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a1cb61f32778309a80746b2835cc654.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e59e0763e678e266e3aaab1af53092e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
A.8组 | B.9组 | C.10组 | D.11组 |
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7 . 设
是正整数,则定积分
的值( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eea609493dd696dc2a3122a8035d9ac4.png)
A.等于0 | B.等于1 |
C.等于![]() | D.与![]() |
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8 . 设
,
,
是随机事件,
与
互斥,
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5899bc8fcee3495107caff3a0ebb70dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8fd0e0aac37e41512f175811b6f5d76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8a1ea97a23eb634159432da9b6f5e20.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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9 . 设
是正2016边形,从这2016个顶点中选出若干个使之能作为正多边形的顶点,则不同的选法共有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a6d7dbac9f7030002efe891e1ee4833.png)
A.2520种 | B.3528种 | C.4536种 | D.6552种 |
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