2011·山东济南·高考模拟
1 . 如图,在平行四边形
中,E和F分别在边CD和BC上,且
,若
,其中
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/934d37c81b2266c7b86bcc11afaf5f91.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04dae4e2170a75db11537349a9eac133.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cda85e481071274f03187b69dfcd4246.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e68a83b4093280ea8750677f6828bf47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/934d37c81b2266c7b86bcc11afaf5f91.png)
![](https://img.xkw.com/dksih/QBM/2011/4/25/1570129241776128/1570129247100928/STEM/cda03f9bf72e4cf1bdaac2327b3358d9.png?resizew=148)
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2 .
中,过
边的中点
作
边的垂线
是
上不同于
的任一点. 记
,
,若
,.求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9178fc8b5d65aa75fa9196294a0db7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89ea803e31d2dedcf0590e0a0475e7ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1887a1513aee097a396e99d7399c4e22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4851948ee018b0cf4e52b04f738f3f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a27ec2899a6f053614d4bb6014e21d67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3db170c517104cc9cb38f2b457dbd390.png)
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13-14高三上·江苏连云港·期中
解题方法
3 . 设O是
的三边中垂线的交点,
分别为角
对应的边,已知
,则
的范围是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13cb7403c7444c79687fdb4336fdff92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbc932d96cbeffffd8c0e81db654cb93.png)
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解题方法
4 . 在如图所示的图形中,圆的半径均为1,且相邻的圆都相切,A,B,C,D是其中四个圆的圆心,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e79deed75f57db737bd29af9a403564c.png)
A.![]() | B.6 | C.![]() | D.![]() |
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2011·江西赣州·一模
5 . 在
中,点
是边
上的任一点,且
,则有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97dad16e4910ec15add074c4077b0e86.png)
____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.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/32d76500f2ede4cfd1cdfd3c2f83f4e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97dad16e4910ec15add074c4077b0e86.png)
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名校
解题方法
6 . 已知
在平面直角坐标系中,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3b3dff6522c24a955ea87891d2a7b25.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5138a9f70d5e8b0580e30fef6eb7baef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fe11f37cf3432937cde3e841a552d42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3b3dff6522c24a955ea87891d2a7b25.png)
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名校
解题方法
7 . 已知
是平面向量,其中
是单位向量,若非零向量
与
的夹角是
,向量
满足
,则
的最小值是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d10fedf17959eed50bf24efd7a03793.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dc64abe49847ade9b78678ba1f8e0e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dc64abe49847ade9b78678ba1f8e0e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/171c310828805c7dc39119d34200d592.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cc23a04cdac6439ea170e799f1c1df5.png)
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名校
解题方法
8 . 下列命题错误的是( )
A.![]() |
B.若向量![]() ![]() ![]() |
C.在![]() ![]() ![]() |
D.在![]() ![]() ![]() ![]() |
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解题方法
9 . 已知向量
,将向量
可绕坐标原点O逆时针旋转
角得到向量
(
),则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/082cb54dabbfbeb301d77dd32fdbbab3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4f605ec0729ce6d72237ad662a06862.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fc9656d8286c4d6fa309d6ae347c89e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c342be3deeadb20d246f40e25ac9f6cc.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
解题方法
10 . 已知非零向量
满足
,
(
)的最小值为2,则
的夹角为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fddfe7860565faf6cbc2c08fb4a0d6a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ebd9ab255277f190fb3a714f3cdacdf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1d5e2dfa2d5b134c85995877eff156b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
A.![]() | B.![]() | C.![]() ![]() | D.![]() ![]() |
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