解题方法
1 . 已知向量
满足
,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e8b95a61af300412fc65f846089028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c6d2811fd855daec345a1a7f26eb345.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de8eafb341060b35ffaf7ec2c1e0f5c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/894314ca9ec64c711707bc6ddcf71033.png)
A.12 | B.![]() | C.4 | D.2 |
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解题方法
2 .
在正方形网格中的位置如图所示,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5f85220353dc98789fd3a04ac1e0d82.png)
______ ,向量
在向量
上的投影的数量为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5f85220353dc98789fd3a04ac1e0d82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
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3 . 在平面直角坐标系中,已知向量
,
.
(1)若
,求
的值;
(2)若
与
的夹角为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce8afb24ff65d307bec989dc5c2561c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e4bf1413002df167e2c37628b1e9a89.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7cb5138a03b19266f82223899a614f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f7a1df960feef63dec4790d63f52279.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1b8a88a16125366536cb4ad658e0cf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eeec13cc5fd4ebe4f94f3801deb45963.png)
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解题方法
4 . 已知向量
,
满足
,
,
,则
( )
![](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/25c3efd5b885f83640ca3670b9ca5382.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/404067afb19bd74f447a6c0c832af1da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd86ce8b96ea4d4178fbaa1c4f0bb214.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b51326344e1673d57041edc97e0fdf3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5 . 已知向量
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8df1d40c531de811080c31f59ac18f0.png)
(1)求
;
(2)求满足
的实数m,n的值;
(3)若
,求实数k的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/016e4d15ab8f5359f6aa3b42674b0c13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91fc36e786422a8a3a08e2ccdfda13dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8df1d40c531de811080c31f59ac18f0.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94d723baf90e91b4691a2dcdd8f2a53e.png)
(2)求满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/863336dc7d3a87ca88242542b60b6cf7.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a976aa9025720274b1f58054e36761c6.png)
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6 . 设向量
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/367d27872627d992c6cb6320b3b12637.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d038b469120575eab788ac2b6654bac5.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
7 . 已知向量
,
满足
,
,则( )
![](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/bd8e24205bc410c881a04169f70d608e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/827dc54f26ef524184486d99542abe95.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
8 . 已知向量
,
,
,其中
,
.命题p:若
,则
.能说明p为假命题的一个
的坐标为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6551f52f6315cb7b505531e55f40a057.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/d366d8fbb7258ee051f49977441e14a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/233e17f629c5cb175e4ec1fadc872f19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/468322cef1887fec96c304371e580bc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7640198689368a1bcf68bd6dac5e0c2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99a90f1e7b09ade6210e2ded8598827a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d366d8fbb7258ee051f49977441e14a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6551f52f6315cb7b505531e55f40a057.png)
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解题方法
9 . 已知向量
,
,且
,则
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/689ccda15b7817beea7fc6b97efe08b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a9ee523c3f9992f795ec899153c54d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8593da97aa7dbd7719b42304b5d0a77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b93d44b4d52be5819b69956166134e90.png)
A.![]() | B.3 | C.5 | D.![]() |
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解题方法
10 . 如图,在平面直角坐标系
中,锐角
和钝角
的终边分别与单位圆交于A,B两点.
,点B的纵坐标是
,求
的值;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eac97e6740365c85ad857aff85cefbe5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5756451881af4d6594c820652ebcc2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/323b74b1e7d8a89188b2dfc5d0bc30ec.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbe88fb8bc8fe985cf2bb29003cc9111.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a21feb1c60581b03ce3e73f56214964e.png)
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