名校
1 . 向量
,
满足
,
,且
,不等式
恒成立.函数
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/329d4084d39747fd31ba0b94977bb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57a4ea73b54e897c24a8ba29f6ef95bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ea7936ad4048b3fc87a81d5469ec33e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/663f69fa39b32a6e324dce0a18c1a8c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ab7091a3256715f83f9ce74e5b7a151.png)
A.![]() | B.1 | C.![]() | D.![]() |
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2024-06-10更新
|
561次组卷
|
2卷引用:湖北省新高考协作体2024届高三统一模拟考试数学试题(五)
名校
解题方法
2 . 设
,
,
,若满足条件的
与
存在且唯一,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
_______ , ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8640aafe54018ba013295b68e2946a7a.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e28a96ee1e62b7fbc1fb0257ad0deeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd61d59ee2dc6cc43b25b7ee39ca58d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/243288f8315e8ea94bda2ec3fec6a984.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8640aafe54018ba013295b68e2946a7a.png)
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3 . 函数
(
,
,
)的部分图像如图所示.
的解析式;
(2)求函数
的单调递增区间;
(3)将函数
的图像上的各点的纵坐标保持不变,横坐标伸长为原来的2倍,得到函数
的图像,若
时,
的图像与直线
恰有三个公共点,记三个公共点的横坐标分别为
,
,
且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68ae6678d22dc7b9125533b2c873b9e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13378be06b6b01bcad1d261ff14e87cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29e1734dcc7697235124fbaba4ba6033.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(3)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc22711acd55161a5d42f0050f8d7130.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61a10c3b431d95bb70bacd0a793d5582.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1310a7a80d1f8751a3f8cafe7f8c8b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/604215c53d7926f0c82920195a632c4a.png)
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2024-04-22更新
|
766次组卷
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5卷引用:湖北省云学名校联盟2023-2024学年高一下学期3月联考数学试卷
4 . 已知平面向量
,
,
,若存在平面向量
,
,使得
,则
的最小值是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e7f14dfa9f463d57664c640102bb5b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29b8947476feba834a361ae8ae518136.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d366d8fbb7258ee051f49977441e14a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa363070e9ec729ceb37e480e3552836.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d79d0d8f3a36fe5b832f6afcc4a02e18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8798a9ef31a0571814a55dc6cf4de36.png)
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解题方法
5 . 已知定义在
上的函数
,对任意的
且
,都有
,且函数
为奇函数.若锐角
的三个内角为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bcb2e3b54b7b8361dd5e2f356bf1102.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/698cf53f76a1d637dfe2732d0a866eec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1b38615b9ed5033df1f27e86a359dae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
6 . 圆O半径为2,弦
,点C为圆O上任意一点,则下列说法正确的是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
A.![]() | B.![]() |
C.![]() | D.满足![]() |
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7 . 如图,设
是平面内相交成
角的两条数轴,
分别是与
轴正方向同向的单位向量,则称平面坐标系
为
斜坐标系,若
,则把有序数对
叫做向量
的斜坐标,记为
在
的斜坐标系中,
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46c092d69df76faf1e2133dc96b466ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e1bc5adc18d5f4d5a9aeba11adfa790.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10814bc3db929e79874befe96cf4e3d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d311413261abe82807a41c49a568c13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0203b006524305c3d8ee0b6c34cd872b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e723e57753f0a4fe1ef8ca1aee0e2117.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5336ae40a9ab28bac74ecea018e2f3d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3e186ebc624ebacde9a03b96289f1ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e05fbade127644775946de3fd66aba5e.png)
A.![]() | B.![]() |
C.![]() | D.![]() ![]() ![]() |
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2024-04-16更新
|
606次组卷
|
3卷引用:湖北省部分学校2023-2024学年高一下学期4月期中考试数学试题
湖北省部分学校2023-2024学年高一下学期4月期中考试数学试题江苏省海门中学2023-2024学年高一下学期期中考试数学试卷(已下线)专题01 平面向量重难题型(2) -期末真题分类汇编(江苏专用)
8 . 已知函数
的图象关于原点对称,且在区间
上是减函数,若函数
在
上的图象与直线
有且仅有一个交点,则ω的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/427e622e492fe880a3d7b233b26912f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce3876ef0d3c314922996a0e4943e6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/579537c2483ebf9638830b54a7b714b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1d0aa9412dd7caf42cc71520e282328.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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9 . 平面内有向量
满足
,
,则
的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27e2b694fa1584587e4f1ba3bbc26eae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b49dcb445aea43029b6259a811df47f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2cc1f1ef9ad32eef62aefa4c3fc3d6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d652380ee3d8c145e7e6089a477dbb8.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
10 . 已知边长为1的正n边形
.若集合
,则下列结论正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd76ce38a05b798d45147dd2fe05294e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffac310f7d98caf37f787e47a19d330.png)
A.当![]() ![]() | B.当![]() ![]() |
C.当![]() ![]() | D.当![]() ![]() |
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2024-04-08更新
|
150次组卷
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2卷引用:湖北省宜荆荆随恩重点高中教研协作体2023-2024学年高一下学期3月联考数学试卷