解题方法
1 . 已知
,
,若
,则实数
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6569e50f43b3d8645652ecc13b62066e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d915175f8af5679839175473869b5ad1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/394518f518e8eee4c6370fdfe90e71b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.3 | B.![]() | C.![]() | D.6 |
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2卷引用:四川省达州市大竹县庙坝中学2022-2023学年高二上学期期中数学试题
名校
2 . 已知向量
.
(1)求
的值;
(2)若
与
相互垂直,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3341b373254e14c037f8e527353f6c29.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41960bbc66bdc3b28be0138f83f9de5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/496590f060e41cbaca42b9eaca3cc6f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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3 . 已知向量
,
.
(1)求
;
(2)设
,
的夹角为
,求
的值;
(3)若向量
与
互相平行,求k的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/501b28ee1853ad06e1e224cec7e57bc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f93b3d4871d6e550524e5c17313aad9e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a06c8eae3652486cf9e416ce3a8ffc9.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aefd06c239145a2b6ae87a955aa51414.png)
(3)若向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41960bbc66bdc3b28be0138f83f9de5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80467aade72042974b1b2d1dbe5b3968.png)
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4 . 已知向量
,
,且
,则实数
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51f97f882838c0c67ef88fc62c3eebe8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a158cf5855b6bf20e4be7c98025be9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/069da5c624837df29947b7b8bf722097.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
A.3 | B.![]() | C.![]() | D.![]() |
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5 . 若向量
与
的夹角为钝角,则的取值范围是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edb8aab93070fcfafe6c845ae43a7a26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a66ea2c49f2d4c196f6d0fd3562ec5.png)
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3卷引用:四川省南充市白塔中学2021-2022学年高一下学期期中考试数学(理)试题
6 . 已知向量
,
,
.
(1)若
,求
的值;
(2)若
,求
,
夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96b0459ded105c937056507489f2524b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/672a090adba3f4f2dda98255325a6476.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad655b7ae0b94879a3ea2cf105b976b6.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fea3b18a9dfd576551661daa8f0e1e52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c37c6f7276c2fa1de5615c0a3d6d547.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb573cc0f30d5c32cdad1510793f0e7b.png)
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解题方法
7 . 已知向量
,
,且
与
的夹角为钝角,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b44a4b4920a28f14701eeb304aa29ae3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60b2ebacc389f562660229ed03eee4a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
8 . 已知向量
,
,
.若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80d769ab21af5365d3c00dc617375ce4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1865f640b961580992129bdf154ab4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa2909ee54c49d1cda0992ee7f6df2db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94e41470e1cdd1e11ee1a3e9e862ecf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4卷引用:四川省凉山州西昌市2021-2022学年高一下学期期中考试数学(文)试题
四川省凉山州西昌市2021-2022学年高一下学期期中考试数学(文)试题四川省凉山州西昌市2021-2022学年高一下学期期中考试数学(理)试题(已下线)第03练 平面向量的基本定理及坐标表示-2022年【暑假分层作业】高一数学(人教A版2019必修第二册)宁夏吴忠市吴忠中学2022-2023学年高二上学期期末考试数学(理)试题
名校
9 . 已知向量
.
(1)若
与向量
垂直,求实数
的值;
(2)若向量
,且
与向量
平行,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f653d4a8f2e3ae480e7ceb12fb91d44.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f7a1df960feef63dec4790d63f52279.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a06c8eae3652486cf9e416ce3a8ffc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)若向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3672013580d0642e74bc78e4b55c818.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f7a1df960feef63dec4790d63f52279.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a737c2c10e2c0c15fcd9f53191d018c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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10 . 已知向量
,
,
,其中
.
(1)若
时,则
值的集合;
(2)求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/201df9b3190e05d8fac0f18a8a2a0e3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e94b498798dd000414226a57761cce7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef84004728714c819c8cab1c84a30031.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f197b5fda7154008d90daa82904377b.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/076559f08d17fb25e82886e791719e52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eb750fee938187cdc23aa74729233ef.png)
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