名校
解题方法
1 . 已知
是
外接圆的圆心,
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1682d306c38087d9e6f7efb9cec596a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca902cd1857b0b95703521972a4214eb.png)
A.10 | B.12 | C.20 | D.5 |
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名校
2 . 已知
,其中
.
(1)若
为纯虚数,求
;
(2)若
在复平面内对应的点在第二象限,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2ac80781c5c0156f97902bec5ca3d14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcd9218a657b17654c5d757a6f7dee9a.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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名校
解题方法
3 . 已知向量
,
.若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43a40c6f0dc0b67d0ccc118602e4da9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1865f640b961580992129bdf154ab4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/075e358bf8f0aab842e87ab3f0df903f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
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解题方法
4 . 已知平面向量
,
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9338520b3ccd2d16e0db9acf8fdd1465.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a80adc333474c0566529a632cf12c3f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1afa49dbaa99a0d7a7a6d18b3fe42091.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5 . 在等腰
中,
,则向量
与
的夹角为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e930d844b960c77a678fa64f11964eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abcb5d89b04570ceda2c29e11cb27a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89265cbe3abc6b966ce8967fead448b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
6 . 下列各组向量中,可以作为基底的是( )
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
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解题方法
7 . 已知
的内角
,
,
的对边分别为
,
,
,且
,
.
(1)若
,求
,
的值;
(2)若
的面积为
,求
的大小及
的周长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e4f287c96efeeafcbd6eec03d85dfcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3c442579603164f3fc19458677d307.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1f4e19fcf82af19ae7f70cb49685588.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8e5d4f93699f8dcffb0e7840ca5597e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d52bc912794df9a0cf7e4eecbc2e0f7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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8 . 复数
的虚部为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/395e44f474af7c750731115aa33d8860.png)
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9 . 在
中,
,
,
,
是
的内切圆圆心,内切圆的半径为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d70dc2c20619a4fc12a0cfda59af5b69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e899c486dc49e560fc4aca05e16835b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
A.![]() | B.![]() |
C.![]() ![]() | D.![]() |
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10 . 已知
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4c332aafad360cf7fbc49add77deb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92e909f475923d09b0ac902ddd30a3d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35aa5256411e4bfe86bab7783a9022a6.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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