2014高三·全国·专题练习
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1 . 设
为单位向量,非零向量b=x
+y
,x,y∈R.若
.
的夹角为
,则
的最大值等于_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/111939547e581e8bf029a241b9e9cb05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b28baf17059c56ee9ad1ae4814acd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b04618e5b2db68f2de6ba68972c505c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b28baf17059c56ee9ad1ae4814acd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b04618e5b2db68f2de6ba68972c505c.png)
![](https://img.xkw.com/dksih/QBM/2015/7/23/1572192379559936/1572192385245184/STEM/a3164af604aa40e1ad0e6c2b6e6f8215.png?resizew=17)
![](https://img.xkw.com/dksih/QBM/2015/7/23/1572192379559936/1572192385245184/STEM/3702aba3545b4d8d9ffcd132ed530784.png?resizew=21)
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2016-12-03更新
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891次组卷
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7卷引用:2013-2014学年云南省玉溪一中高二第二学期第一次月考理科数学试卷
(已下线)2013-2014学年云南省玉溪一中高二第二学期第一次月考理科数学试卷【全国百强校】安徽省淮北市第一中学2018-2019学年高二上学期第四次月考数学试题(已下线)2014届人教版高考数学文科二轮专题复习提分训练23练习卷2014-2015学年湖南省衡阳县第一中学高一下学期期中考试数学试卷(已下线)2019高考热点题型和提分秘籍 【文数】专题20 平面向量的数量积 (教学案)(已下线)2019高考热点题型和提分秘籍 【理数】专题20 平面向量的数量积 (教学案)(已下线)题型05 求复合向量模及两向量的夹角-2020届秒杀高考数学题型之平面向量
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解题方法
2 . 已知
,若
,则
________________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53ea62b5101a3a961effb55708441691.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67c32157b19d27cb5d82dacc702fe8bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
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3 . 已知
,
,
,满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/993e9681181da32d59da5aa14daa853a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3a749ab4a263c6dc73875449e16ffe4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9542fba85b1c12e683c75ba73d7bb5ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/196dd22c58865a02fddc1582671161b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
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4 . 已知向量
.若
,则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6b4c3fbd23af4d2ddbf04060d8753d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b5745f140f3db22aeb87800da7a5d7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
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5 .
中,点
是
的重心,若存在实数
,使得
成立,则
等于________ .
![](https://img.xkw.com/dksih/QBM/2016/1/6/1572422198607872/1572422204653568/STEM/355b0425071842c2961f519658ac145f.png?resizew=45)
![](https://img.xkw.com/dksih/QBM/2016/1/6/1572422198607872/1572422204653568/STEM/5a970db04c6a4fab91186ca407ed70f4.png?resizew=21)
![](https://img.xkw.com/dksih/QBM/2016/1/6/1572422198607872/1572422204653568/STEM/355b0425071842c2961f519658ac145f.png?resizew=45)
![](https://img.xkw.com/dksih/QBM/2016/1/6/1572422198607872/1572422204653568/STEM/cb03d966acc64a85b3fa0d53e1eaa352.png?resizew=17)
![](https://img.xkw.com/dksih/QBM/2016/1/6/1572422198607872/1572422204653568/STEM/5e3e60ecb1cd4177949a0b2e09de2f60.png?resizew=120)
![](https://img.xkw.com/dksih/QBM/2016/1/6/1572422198607872/1572422204653568/STEM/cb03d966acc64a85b3fa0d53e1eaa352.png?resizew=17)
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6 . 已知向量
,
,
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8088dc991c986015b3aa5f98ed76e46.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98fb63b2cf60633a63252b53dc024530.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8facbd6603721d54ab509f7396b3e46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/352b7a476a883f8f2ed8d7c67d8327b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0c1bbdd632e3d014a4aeecd1c2061ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8088dc991c986015b3aa5f98ed76e46.png)
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解题方法
7 . 已知
与
的夹角为
.若
为钝角,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00aaf000eb63cc8042daafe791b56aeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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