12-13高一上·内蒙古包头·期末
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1 . 已知
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2501370b911dd3c048311c948061e1a.png)
.
(1)求证:
与
互相垂直;
(2)若
与
的模相等,求
.(其中k为非零实数)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07cb870be7768985b06645baef437524.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2501370b911dd3c048311c948061e1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d36b697014a6a7a0683262df05346018.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71ca43808974777649a58258de1436d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ac99a273b6920085438b66ce74b31ef.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a02cde7d415033ea197e645477fb4a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afb3c0732a3fbad61b59971d7c112e18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/628560d39eeb0339fa00c9c15ab2c095.png)
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2021-10-20更新
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11卷引用:8.3 向量的坐标表示(作业)-【上好课】2020-2021学年高一数学下册同步备课系列(沪教版2020必修第二册)
(已下线)8.3 向量的坐标表示(作业)-【上好课】2020-2021学年高一数学下册同步备课系列(沪教版2020必修第二册)(已下线)2011-2012学年内蒙古包头三十三中高一上学期期末数学试卷(已下线)2012-2013学年浙江省杭州十四中高一上学期期末考试数学试卷(已下线)2014届江苏省阜宁中学高三年级第一次调研考试文科数学试卷2015-2016学年贵州省凯里一中高一下开学考试数学试卷2015-2016学年成都外国语学校高一下学期期中考试数学(理)试卷山东省枣庄市第八中学南校区2016-2017学年高一5月月考数学试题河南省南阳市第一中学校2019年高三上学期10月月考数学试题河南省南阳市第一中学校2019-2020学年高三上学期10月月考数学(理)试题苏教版(2019) 必修第二册 过关斩将 第10章 10.1.1 两角和与差的余弦江苏省扬州中学2022-2023学年高一下学期期中数学试题
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2 . 已知向量![](https://staticzujuan.xkw.com/quesimg/Upload/formula/468e5098138fed6e91e7e4791dfad0b1.png)
(1)若
,求证:
.
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/468e5098138fed6e91e7e4791dfad0b1.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/875260a62b01e0c2bb92350fbadc8e47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa5aa846a5b7c96fe2ce665eb1ea5f0e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81f6f7c4d82b6ddbf37d8459cb125bdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22b3adfb25816cf11f7760d868c29cb7.png)
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3 . 在△
中,三内角
、
、
的对边分别为
、
、
,满足
.
(1)证明:△
为直角三角形;
(2)当
,
时,设
表示成
的形式,并写出定义域;
(3)对(2)中函数
,当
为何值时,
有最值?并求出最值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.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/99cd2d7526d3b67d3e4c51a14fc7182c.png)
(1)证明:△
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/104e4c6253dac1d2ceb5376aa060433a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2df011456dcd279d5228c6707facb24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(3)对(2)中函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
您最近一年使用:0次
2021-07-24更新
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317次组卷
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2卷引用:上海市复兴高级中学2020-2021学年高一下学期期中数学试题