解题方法
1 . 已知
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97b586215d139d6418cc7010caa7b8e7.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dd5acc68e88a56f6c1b01fc6ca2d428.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc1eb76fe74cba30f7cbcde349ba80da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97b586215d139d6418cc7010caa7b8e7.png)
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名校
解题方法
2 . 若平面向量
,
,
两两的夹角相等,且
,
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7891ac38d0087802fafc88ec9e5bc89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a0b19e69be46452425916a0fcb49c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a1fbde1de351bce74ea7736f16340a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7af485413186ab3208767bc6637fb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/856257379ffdc3939b9aaea9007a6951.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f6b07640a27cf91c0a1c4d6c7457652.png)
A.![]() | B.5 | C.![]() | D.![]() ![]() |
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解题方法
3 . 已知
,
,
.
(1)求
;
(2)若
,求实数k的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70e310702748855c3edccd151aae0143.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b532ff725ed321148010644e7f0e05f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7901fc86cb98cdb030d6ee72816dc14a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b195aa36a3c2753ebf08cb464c52ad1e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28366bd942f564a8bc3396dc85b1b73c.png)
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解题方法
4 . 在
中,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd01f8d99637871de828cb6b87ec7b33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a782849c00b269b058781699e2d76de7.png)
A.![]() | B.16 | C.32 | D.![]() |
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解题方法
5 . 《易经》是阐述天地世间关于万象变化的古老经典,如图所示的是《易经》中记载的几何图形——八卦图.图中正八边形代表八卦,中间的圆代表阴阳太极图,其余八块面积相等的图形代表八卦田.已知正八边形
的边长为
,点P是正八边形
边上的一点,则
的最大值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d17d4a6cf11cda87b3dfafaecdec683f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d17d4a6cf11cda87b3dfafaecdec683f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e83b9f01e806bf74042ba41b26423022.png)
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7日内更新
|
72次组卷
|
2卷引用:辽宁省大连市滨城高中联盟2023-2024学年高一下学期5月期中考试数学试题
名校
6 . 已知
是边长为
的正三角形.
(1)求
的值;
(2)设
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47d808aaeab0898dc2f2234d4f7d4b7a.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d69035a9c0bc4ddc83d0cc12c25a9246.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2a4535443747b3c3cdc4780433bd2e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0b6c23104ed86d2fb8716141720ac2a.png)
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解题方法
7 . (1)已知单位向量
与
的夹角为
,且
,
,求
;
(2)已知
,
,
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0411792b587ddd3e04440392f011c224.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b95d660852c5226ff65a21cfb36b8b39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9559b133927dd68c23db772fb061fb92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bf321b9634a90680341dcf1938022b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/854e16eb319ee454088f5b527cf6c4d5.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce9883f16cdef5fb87fb9d6a9897d113.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ff265969988f1f138700129e5d7a6d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c909dd73cd3bef544ae822975d47586a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/854e16eb319ee454088f5b527cf6c4d5.png)
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解题方法
8 . 已知
,
,
,
的夹角
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e7f14dfa9f463d57664c640102bb5b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d4a5e3cb5a570878390165ff7c60fe3.png)
![](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/78a40d2cf43fce0c99dff3470d554eb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da72f016bf2a7c6e50ea90b4af5d8442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
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9 . 如图所示的四边形ABCD中,
是等边三角形,B是AC边的中线延长线上一点,
,
,点E在四边形ABCD的边上运动,则
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac451db3443cabb204f96c31fd4a02e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e1f4f255d191786f7d330d278868c2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd5ef61782621225b8a5d743cb4eb2e2.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
10 . 已知平面向量
,
,
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a0b19e69be46452425916a0fcb49c9.png)
A.![]() |
B.若![]() ![]() ![]() ![]() |
C.![]() |
D.若![]() ![]() ![]() |
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