名校
解题方法
1 . 已知
是
的中线,
,以
为基底表示
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe79e526ee4001569bb5395693a024de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e8b95a61af300412fc65f846089028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffaf753c75b5853544bebfc9943d33da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecf6fcd3cccfafa3ac62c2f20c68b5ae.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
2 . 已知
为不共线向量,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e8b95a61af300412fc65f846089028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3dc6012cbec4e000142b8fe04295caf.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
解题方法
3 . 已知
是第四象限角,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a921f37470b04fa64a947075d820bdfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36750f82587c69e167dc52e44cc3086d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
4 . 已知
与
的夹角为
.若
为钝角,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00aaf000eb63cc8042daafe791b56aeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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解题方法
5 . 已知向量
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edb44b5f29b3b0ab8d22c9c2b16d806a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bf21fef3026cfe445a855c94cab5c84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ec7c99202b44d5d65239f65f155b6f.png)
A.![]() | B.2 | C.![]() | D.-2 |
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名校
解题方法
6 . 已知向量
,若
与
的夹角为
.
(1)求
;
(2)当
为何值时,向量
与向量
互相垂直?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e8b95a61af300412fc65f846089028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29b24732913603e4c143555ec1b0eb8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6055b9615d8e4aff00442ca00f42207e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29ac98c1eaf42f8538adc29ec552cc16.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eadb52537a6679873489525e2f404b64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd9534eb6ae67a9a2ef6ba5eaf9cfcd7.png)
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名校
解题方法
7 . (1)已知单位向量
与
的夹角为
,且
,
,求
;
(2)已知
,
,
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0411792b587ddd3e04440392f011c224.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b95d660852c5226ff65a21cfb36b8b39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9559b133927dd68c23db772fb061fb92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bf321b9634a90680341dcf1938022b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/854e16eb319ee454088f5b527cf6c4d5.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce9883f16cdef5fb87fb9d6a9897d113.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ff265969988f1f138700129e5d7a6d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c909dd73cd3bef544ae822975d47586a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/854e16eb319ee454088f5b527cf6c4d5.png)
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8 . 已知函数
.
(1)求
的单调递增区间;
(2)若
,且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cb347d76ffdad46c2a7f0489d6b68b2.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bfe13f036b9d023772aed05290abe80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1c3df5db75d132dda0e66819b307dc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a9ff76f77b30115b319eb0eab2a3b3e.png)
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名校
解题方法
9 . 已知
,且
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/572fbfca53e0b5c85d0155e956d63447.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf930ebe50f2ce41f6579225e2cf5cbe.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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10 . 已知
,且
为第三象限角.
(1)求
,
的值;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eaee5b737069fc6b71dd58ee0a59366b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b4179e1ab8705cf19ea7aaf48888843.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc9750c313ee972124cb62c4a6fb7ea.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b30e14e186372fee6d205ab9511f623.png)
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