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解题方法
1 . 若
是平面内的一个基底,则下列四组向量中不能作为平面向量的基底的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cdd4d1dbf84cbefac7bae49fd7cd08b.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2 . 如图,在等腰梯形
中,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3667d6d698c1a18bc0480da44099000.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93608005d5f5d780d2b7426b093878ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3667d6d698c1a18bc0480da44099000.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/2/e3e0ba47-2ee7-4786-8f4c-452267ab2efa.png?resizew=153)
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3 . 已知向量
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/903d79db483fa21d6f61a6607621c178.png)
A.若![]() ![]() |
B.若![]() ![]() ![]() ![]() |
C.若![]() ![]() |
D.若![]() ![]() ![]() ![]() |
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4 . 已知
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eef16f4dd6517343bf27e03145fdc935.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3881d43fa798535a470062ba7b00fd96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
A.1 | B.4 | C.![]() | D.![]() |
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2024-04-02更新
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2卷引用:福建省三明市尤溪县第七中学2023-2024学年高一下学期期中考试数学试题
名校
5 . 如图,在
中,
是
的中点,
.
,
,求
;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/662c1357657b89d42e43ad295985389f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7dc39e2113669164b4894c2ef739f0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84d81d732204a3c2384a27606f858677.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcedc17f292990a25ffe350f8d7be432.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85ba7e0374dabeb58e459f47c5baf952.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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2卷引用:福建省莆田第二十五中学2023-2024学年高一下学期第一次质量检测数学试题
6 . 如图,在
中,
是
的三等分点,则( )
![](https://img.xkw.com/dksih/QBM/2024/3/26/3462147890782208/3462616444878848/STEM/fef438c06ad748b4bfbd8c4146535e3e.png?resizew=152)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2576240d61dc47001f7878450564986.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/2024/3/26/3462147890782208/3462616444878848/STEM/fef438c06ad748b4bfbd8c4146535e3e.png?resizew=152)
A.![]() | B.若![]() ![]() |
C.若![]() ![]() | D.若![]() |
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7 . 已知
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9d4105cbfae0d960eba691fa2035ec8.png)
_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b981b38133d5d65060dd8ff4d65a66be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4109bebb44788785907047bdeffb9b93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16a8c7ea5715bee4bf380d6503027446.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9d4105cbfae0d960eba691fa2035ec8.png)
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解题方法
8 . 在三角形ABC中,D是BC上靠近点C的三等分点,E为AD中点,若
则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9468d181e2f95872b5e749bfb6b16fd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
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4卷引用:福建省莆田第五中学2023-2024学年高一下学期第一阶段考试数学试题
福建省莆田第五中学2023-2024学年高一下学期第一阶段考试数学试题上海市进才中学2023-2024学年高一下学期期中数学试题(已下线)第二章平面向量及其应用章末十六种常考题型归类(1)-【帮课堂】(北师大版2019必修第二册)上海市朱家角中学2023-2024学年高一下学期第二阶段质量检测数学试题
9 . 已知向量
,则
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0d63f15403c5bd96b7a3c1336e349b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75c9ea506f58c9801eea94ded463ae3d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2卷引用:福建省南安市蓝园高级中学2023-2024学年高一下学期期中考试数学试题
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解题方法
10 . 如图,在
中,
,点
在线段
上(异于
两点),延长
到
,使得
,设![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d94c024b5dc207155f7d037ae76fcf8.png)
,求
的值;
(2)求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/425ea0440a1e85d789ce1bbccd377bad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab609a6574633ebabcff3e73fa862081.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d412d12c1a63e71d8389162d1ad06b08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d94c024b5dc207155f7d037ae76fcf8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcc987713db44343b2b8fa38e2f5c2ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd1f0ace9ca0b79929e73af6c201c2e.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd1f0ace9ca0b79929e73af6c201c2e.png)
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