解题方法
1 . 已知向量
,
,
.
(1)求![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3c8d72027552130d5f6fea0bfe91784.png)
(2)若
与
共线,求
与
的夹角.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a7241df5ad69b7ef8b73e5e28d836e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c22fb4cb93da0042f4a5573a8429edb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a27521fd7221ad6934999b336f337de5.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3c8d72027552130d5f6fea0bfe91784.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fb667795acdfafa436ee35e152adbc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a0b19e69be46452425916a0fcb49c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a0b19e69be46452425916a0fcb49c9.png)
您最近一年使用:0次
2023-07-31更新
|
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2卷引用:吉林省长春博硕学校2023-2024学年高二上学期期初考试数学试题
2 . 已知向量
,
,
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f2d0d57360f280baa3e59ff34b2235a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b99851c6714ec89fe18ae757ef5d1134.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5921405611a136b64d7f527bb52ef8e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cc523bdaf222089feb5befd43753ed7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
您最近一年使用:0次
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3 . 已知向量
,
,
,若
与
垂直,则实数
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d907523e755046bfef06447eb0a788f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f088d018cbdd8421d3496589d50b631.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9fd8b22b59404a166a569225fa67fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d901a4b8022a70f16eb915c01f6c0fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4卷引用:吉林省长春市文理高中2022-2023学年高一下学期第三学程考试数学试题
吉林省长春市文理高中2022-2023学年高一下学期第三学程考试数学试题黑龙江省鹤岗市第一中学2022-2023学年高一下学期期末数学试题河南省商丘市第一高级中学2022-2023学年高一下学期6月月考数学试题(已下线)8.1.3 向量数量积的坐标运算-【帮课堂】(人教B版2019必修第三册)
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4 . 如图,在四边形OBCD中,
,
,
,且
.
,
表示
;
(2)点P在线段AC上,且
.求
与
夹角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dc986a23aa8afc8770f2d9716498a28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a69bd5f983b0c52b7fea8201113b2b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8900f99d0feb6ce8729247778517b479.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28afb822af50e263d9a4426571abd938.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4f605ec0729ce6d72237ad662a06862.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fc9656d8286c4d6fa309d6ae347c89e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89265cbe3abc6b966ce8967fead448b.png)
(2)点P在线段AC上,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a56342e0cdc561714eeec0d4ba7390b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89265cbe3abc6b966ce8967fead448b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/471ac0f42d01c6d6e094b63628586e4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
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3卷引用:吉林省长春市东北师范大学附属中学2022-2023学年高一下学期期末数学试题
吉林省长春市东北师范大学附属中学2022-2023学年高一下学期期末数学试题(已下线)专题01 平面向量压轴题(2)-【常考压轴题】宁夏回族自治区石嘴山市平罗县平罗中学2023-2024学年高一下学期5月期中考试数学试题
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解题方法
5 . 已知向量
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80345e9a9c467db6ba833bb5a021e440.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbe0c5d119ec2029a51b2592968d8f49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
A.![]() | B.1 | C.3 | D.7 |
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4卷引用:吉林省长春市公主岭一中,榆树实验,九台一中等学校2022-2023学年高一下学期期末数学试题
吉林省长春市公主岭一中,榆树实验,九台一中等学校2022-2023学年高一下学期期末数学试题辽宁省辽阳市2022-2023学年高一下学期期末数学试题(已下线)模块二 专题1 平面向量的数量积 A基础卷(已下线)模块二 专题3 向量的数量积 A基础卷(人教B)
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解题方法
6 . 已知向量
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f29ea1d6fd62eef9100aec3b839beea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d386064ad301295305b1379e649cce2f.png)
A.![]() | B.向量![]() ![]() ![]() |
C.![]() | D.向量![]() ![]() |
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2卷引用:吉林省吉林市第一中学2022-2023学年高一下学期6月月考数学试题
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解题方法
7 . 已知向量
,
,若
,则m的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52d7b1b71311353dc21ac13ee3df2ce2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0635dd7654629ef1dc976c116aa17dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd79264e130de60a100b001b5d45585c.png)
A.-1 | B.1 | C.![]() | D.![]() |
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解题方法
8 . 在
中,点
满足:
,
,若
,则
=_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0965e1e82358070ca8cac70626a56af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7948ec1bc4d10c60d3602ba5a2e8f1eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6974d8272850f4c421a0563f2bb062a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4e7bf9200b351a259ddfc6c0266129d.png)
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2卷引用:吉林省通化市梅河口市第五中学2022-2023学年高一下学期期末数学试题
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解题方法
9 . 如图,在△ABC中,点O在边BC上,且OC=2OB.过点O的直线分别交射线AB、射线AC于不同的两点M、N,若
,
,则2m+n=( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/22/b5573bd1-c2e9-4c24-a7c1-69811544be70.png?resizew=114)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/328e8ec9120d4f382d63802421770a14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b61719eab7f04cd838d37de009ea1faa.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/22/b5573bd1-c2e9-4c24-a7c1-69811544be70.png?resizew=114)
A.1 | B.2 | C.3 | D.-2 |
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10 . 如图,在梯形中,
为
的中点,
,
,
,
.
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e84651cfbf6a25234265baa7ef676ea.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5f1b06a56fc382feed28e01f1ad102.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4781e3daa2c4e018ca0ae09bb56abc0f.png)
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6卷引用:吉林省长春博硕学校2022-2023学年高一下学期期中考试数学试题