解题方法
1 . 古希腊数学家特埃特图斯(Theaetetus,大约公元前417年—公元前369年)通过下图来构造无理数
,
,
,…,记
,
,则
( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/31/7bdaf5c5-8d7e-4e0a-8be1-0e56710a1e6a.png?resizew=185)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb2cf0e95fdf1fd8a5b01d3dfd905e08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9940f9f7b1e9a26ab25527406be4d712.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9da6f152a33ef475161c9e396647225.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/31/7bdaf5c5-8d7e-4e0a-8be1-0e56710a1e6a.png?resizew=185)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
2 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b729f3bcad3527fd911eb71de25a64f9.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bb96161685477f53ae0dd74b98db4a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b729f3bcad3527fd911eb71de25a64f9.png)
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2023-03-30更新
|
816次组卷
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4卷引用:新疆乌鲁木齐地区2023届高三二模数学(理)试题
新疆乌鲁木齐地区2023届高三二模数学(理)试题新疆维吾尔自治区乌鲁木齐市2023届高三第二次质量监测数学(理)试题(已下线)专题04 三角函数-2(已下线)第02讲 三角恒等变换(九大题型)(讲义)-2
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3 . 人脸识别技术应用在各行各业,改变着人类的生活,而所谓人脸识别,就是利用计算机分析人脸视频或者图像,并从中提取出有效的识别信息,最终判别人脸对象的身份.在人脸识别中为了检测样本之间的相似度主要应用距离的测试,常用的测量距离的方式有曼哈顿距离和余弦距离.假设二维空间中有两个点
,O为坐标原点,余弦相似度similarity为向量
夹角的余弦值,记作
,余弦距离为
.已知
,
,
,若P,Q的余弦距离为
,Q,R的余弦距离为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e3a1467ecf286e3cadaf5aa006606f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cc2294ee512fa1ee5f14ad65a24a499.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1df320d266e857a428ff0bac1eb680bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef2376fa0549e6fae46bae54d6ace942.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66fe292b96f43ce1421caab14b91ec57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67d19b134e9127a22b11dba65315f0ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3845bc86b98feefb389e303b45e3b910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be30ff495e4329abb327f84f9d0b5fd4.png)
A.7 | B.![]() | C.4 | D.![]() |
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5卷引用:河南省郑州市2023届高三第二次质量预测文科数学试题
河南省郑州市2023届高三第二次质量预测文科数学试题四川省内江市内江市第六中学2022-2023学年高一下学期期中数学试题(已下线)专题19新文化试题(已下线)情境5 关注生产生活(已下线)模块五 专题1 全真基础模拟(人教B)
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解题方法
4 . 在
中,角
所对的边分别为
,且
.
(1)求
的值;
(2)求
的值;
(3)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/202aee03c13269ab1d56908a45deabd0.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c181f86de3c96a7ef7a1a04c3a438f.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5b5cf5a187de02ec8604924dbfc92bc.png)
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2卷引用:天津市南开区2023届高三一模数学试题
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解题方法
5 . 在
中,
,
,
为垂足,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09eebab59213386449a726b75065bf76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70734a8e672376bb0bd1522e229f86a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e968a812ee068fbca8034ef397f6034b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1813aa92d2379664c36eb440ef7506fc.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3卷引用:山西省太原市2023届高三一模数学试题
2023·全国·模拟预测
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解题方法
6 . 已知非零向量
,
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45c0d8cced87e427c0bb10998790e2b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b580206c580dbe919948a53b50683890.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bf21fef3026cfe445a855c94cab5c84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8640aafe54018ba013295b68e2946a7a.png)
A.![]() | B.![]() | C.![]() | D.2 |
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4卷引用:2023年普通高等学校招生全国统一考试数学猜题卷(六)
(已下线)2023年普通高等学校招生全国统一考试数学猜题卷(六)辽宁省部分学校2022-2023学年高一下学期期中考试数学试题甘肃省白银市靖远县第四中学2022-2023学年高一下学期4月月考数学试题云南省昆明市第一中学西山学校2022-2023学年高一下学期3月月考数学试题
7 . 如果实数x,y满足
,则称x,y“余弦相关”.设
,若存在
,使得x,y“余弦相关”,则x的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c4d191a06571223f167587fcc7b2299.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd5cdde751120c6deab563a6f7f8cf05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f370a1d4dd341e5ab1774a66c66c1204.png)
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8 . 已知
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22d92292629c24d3b79ab0cd5c836492.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2c5d762c59e8362350ac2adf9b31c0e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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8卷引用:湖北省武汉大学附属中学2024届高三上学期8月模拟数学试题A
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9 . 记
的内角A,B,C的对边分别为a,b,c,已知
,
.
(1)求A;
(2)若
,点D在边BC上,
,求AD.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707a0e73751de898ea7fed690400d37c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/413f9851aad373d782ae62b308f1de85.png)
(1)求A;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/383839a3cbbb8a97941b6a40d6d340ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a8b131c1d7d61da9ddac51dd3ca4ca3.png)
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3卷引用:2024年新高考Ⅰ卷浙大优学靶向精准模拟数学试题(八)
10 . 设
的三个内角
,
,
所对的边分别为
,
,
.若
,且
.
(1)求
的值;
(2)若
,
的面积为1,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](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/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb584b83ae783a0ec8a9b4628b7fca3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be27ec7744c5c0f9f6a3843d2d30bc9d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2eae7aada5ada75044dcc4c2e81b1ab.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6de1d395e6c48c0676a1488a299479d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/354f86b608c5fa3641aff877665a992f.png)
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