解题方法
1 . 已知向量
与
的夹角是
,且
,
,则向量
在向量
上的投影向量是( )
![](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/290710d643ab6cd3b9edd73815b1d8ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce0ae443a505d263c44a3d7515fd0170.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34fa8ea29001bb1f0c1e5157aff2fca5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
2 . 在
中,
,则下列选项正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d14700df9fd609cd56da233d38ba9b08.png)
A.![]() |
B.![]() |
C.![]() |
D.向量![]() ![]() ![]() |
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解题方法
3 . 如图,在平面四边形
中,
,
,记
与
的面积分别为
, 则
的值为_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27db558e8db4c957654c8e5cecd2d2dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b899bfd0597444039b66657878d37533.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6a783e5ffcf7a4ea9e531ea76199487.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76b982b4ed3b75609bda6af3914986d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16ae89bd2dd0a18e1afb5b1a1abd0efd.png)
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4 . 如图,在平行四边形
中,
,点E满足
,则
( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d1aa922b038bd7247741f895e192568.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bd26e89314a2076e01f442ed95c5fb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd27dd5543eabc922bdbe03eb5bfd496.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5 . 已知向量
,
,
.
(1)若
,求
的值;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fda3f2bbb62d0e0abc140c174944aa89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d88a1983547e8f6d13e5f7f1cb521dec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41c79ec1cb1bcbcc86b2077957ce6c55.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a36228810d0c2f6c6e53584c1ac176b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c66dc9c4258a666e90278e33e084fdba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83634e314df24df73ae37d25a44d20e3.png)
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解题方法
6 . 已知
的边长均为1,点
为边
的中点,点
为边
上的动点,则
的取值范围是( )
![](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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e725e9a770017dcb95095dd78ff39954.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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7 . 已知向量
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff0812ea92afd60233426521798f5ca7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67d8044e85434e2a2f995b1246c2e7a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff244f9e9345913bb0217d48ff378134.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
8 . 已知
,且
,则实数
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b51e2bc24683f45afe168937fb8b5cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7dced91de1b8c38aa95ffee0e5dc202.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
A.![]() | B.![]() | C.3 | D.![]() |
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9 . 如图,在
中,
,
分别是
,
的中点,若
,则向量
可表示为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03ba495e8f9fe02229a4248fdbfb4710.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a014dff8997c661055229de29c61cfc.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
10 . 已知
,若![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d67be899bc131ec1b9921ae9787c40d5.png)
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e176c51396d4074dbe828283e914de89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6012ad9ec315cae92d539f3e08625645.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d67be899bc131ec1b9921ae9787c40d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e176c51396d4074dbe828283e914de89.png)
A.![]() | B.![]() | C.![]() | D.0 |
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