解题方法
1 . 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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解题方法
2 . 若向量
,
,
,则
的取值集合为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c054fc0cb6f1d5d8ab58797552fb8920.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a6154b8ee793f576a0a55c79eae43a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02f7d08d10754ff3903d139768f40530.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 下列命题为真命题的是( )
A.复数![]() ![]() |
B.半径为3的球的表面积为![]() |
C.正五棱台有7个面 |
D.“![]() ![]() ![]() ![]() |
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解题方法
4 . 在
中,
,则
的最大值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/819b43fa2550ebea5d16906471b8a045.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c181f86de3c96a7ef7a1a04c3a438f.png)
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解题方法
5 . 已知正方形
的边长为
,
,
,则
的值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f8c4c029e552954bd493b49aeab82d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f63f16e90ec064a5322e77257e7668e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2302e928a9fd7c40071086ad6a8f8d0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/000e4893e671132e74f11d3638d5fbb9.png)
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解题方法
6 . 若三角形的三边长分别为20,30,40,则该三角形的形状一定是( )
A.锐角三角形 | B.直角三角形 | C.钝角三角形 | D.等腰三角形 |
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7 . 已知向量
,
满足
,
.
(1)若向量
,
的夹角为
,求
的值;
(2)若
,求
的值;
(3)若
,求向量
,
的夹角.
![](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/ce9883f16cdef5fb87fb9d6a9897d113.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db24e47304fec964e8cb9278280046bb.png)
(1)若向量
![](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/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/854e16eb319ee454088f5b527cf6c4d5.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/466821bb75badcfa72f433d106eaf246.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/596a3ee5d8473fc6619ea7730e13325b.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b904789c43cb34d62bc40a4d8773735d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
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解题方法
8 . 已知复数
,
满足
,
.
(1)若纯虚数
的虚部与
的虚部互为相反数,求
;
(2)求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa224ed9be8766a4d0b5138bd57de0f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39d4733d7f4dd93f60b1c2ea1f10375e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57086af4def74ae9931563b2212b26e3.png)
(1)若纯虚数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a67a742d2a43e907fb1c3a1bdf1d6a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a67a742d2a43e907fb1c3a1bdf1d6a9.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95054097445ae06b084beaad666bd2f8.png)
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解题方法
9 . 若
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34136a7aeb0d1c3a2ec7467ffd6eda4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d059893330f6edd7b8b562626d925347.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e54329d41d66a0895ea6fd6c51eb3a04.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
10 . 已知两个单位向量
,
满足
,则
在
上的投影向量为( )
![](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/8cf0498d18dbbdad1c86c83259684fc1.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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