名校
1 . 在如图所示的网格中,每一个小正方形的边长均为1,则下列说法正确的是( )
A.![]() | B.![]() ![]() ![]() |
C.![]() ![]() | D.![]() |
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解题方法
2 . 下列结论不正确的是( )
A.![]() ![]() ![]() |
B.对于任意向量![]() ![]() |
C.若![]() ![]() ![]() ![]() |
D.两个非零向量![]() ![]() ![]() |
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3 . 已知向量
,
,
,若
与
的夹角为
,且
⊥
,则实数
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ca8284c833f7766754d15809b3879d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efd738a9c0d92e69b26a7a8b40ae668e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80882fa22c23c7195dbb1cee9d5db5f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4f605ec0729ce6d72237ad662a06862.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fc9656d8286c4d6fa309d6ae347c89e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef8337706c550bc095d7a2bd872221a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abcb5d89b04570ceda2c29e11cb27a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44ab7024f73ff0cb7e6a48197538a91e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
4 . 在
中,
,直线
为线段
的垂直平分线,
与
交于点
,
为
上异于
的任意一点.
(1)求
的值;
(2)判断
的值是否为一个常数?若是,请证明并求出常数;若不是,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcf008e8ff4604029a226a789fa08b82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/224d0287acb4fcf782ff685dd2418eee.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/652b78934fc67c95a8a459dd0767ea52.png)
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解题方法
5 . 已知向量
,
满足
,
,且
与
的夹角为
.
(1)求
及
的值;
(2)若
,求
的值.
![](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/fddfe7860565faf6cbc2c08fb4a0d6a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c58147890c9fc5fdab3120e88d7e49b5.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/76dde16b05fba6fc61779511e63f34fe.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbff272946c33b524dd3c0be9bcfc651.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b551c01b86a6f365f794d427656fb2d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d64c995510d3e95ab634d947863255d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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6 . “奔驰定理”因其几何表示酷似奔驰的标志得来,是平面向量中一个非常优美的结论.奔驰定理与三角形四心(重心、内心、外心、垂心)有着神秘的关联.它的具体内容是:已知
是
内一点,
的面积分别为
,且
.以下命题正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb90417652d97e7c3f5a6d5926a7d48f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ccb3de366206f32e0c9045e63b2e205.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2247c3f1ec9a0616dbd73a8fb97e4e0e.png)
A.若![]() ![]() ![]() |
B.若![]() ![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() |
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7 . 已知在
中,N是边AB的中点,且
,设AM与CN交于点P.记
.
表示向量
;
(2)若
,且
,求
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42ee071eeac50f0aad26a5139fdf2a1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8cc47326e366b5b07350d461bf75474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b901cc29a51575d40f331c7b9b1e696f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75b2f1f3c3a1e6f78e384193b1d07962.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80d98c4bb451306e711fd5e2fed99487.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f64ecaa4ed6aecefc9e26932e528596c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67dfcdf2fcb1c69e286634cb9405781e.png)
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2024-04-10更新
|
985次组卷
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3卷引用:湖南省常德市汉寿县第一中学2023-2024学年高一下学期3月月考数学试题
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8 . 点O为
所在平面内一点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.若![]() ![]() |
B.若![]() ![]() |
C.若![]() ![]() |
D.在![]() ![]() ![]() |
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2024-03-29更新
|
1005次组卷
|
5卷引用:湖南省衡阳市第八中学2023-2024学年高一下学期5月期中测试数学试题
湖南省衡阳市第八中学2023-2024学年高一下学期5月期中测试数学试题安徽省县中联盟2023-2024学年高一下学期3月联考数学试卷吉林省长春市第二实验中学2023-2024学年高一下学期4月月考数学试题(已下线)模块二 专题5 三角形的形状问题(人教B版)(已下线)模块5 三模重组卷 第1套 复盘卷
2024高一下·江苏·专题练习
名校
解题方法
9 . 已知
,
是单位向量,
,
.若
,则
与
的夹角为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48bd8a052e56b53a66497b4b55a968a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc155e36276a2226c40a1f4ef7a0f41a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ece57d19c283a7f4b48f4508e2cf0e3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00035d6debff98d6125a7f54b172dca2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c681b2c5fddb33c3b066ab49cb9afc42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48bd8a052e56b53a66497b4b55a968a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc155e36276a2226c40a1f4ef7a0f41a.png)
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10 . 设
,向量
,
,
,则“
”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1aedc1c8a16e306bcd6e5154f9ed6dfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de59c5a3239777e9763a7249f40356ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9690262fc8e080220bcfd606b54e4d85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7de86fd6be88f8b0a7f253f6233070fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2b23cc1e2140104001dd399ace17e9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7dced91de1b8c38aa95ffee0e5dc202.png)
A.充分不必要条件 | B.必要不充分条件 | C.充要条件 | D.既不充分也不必要条件 |
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2024-03-07更新
|
1396次组卷
|
5卷引用:湖南省常德市津市市第一中学2023-2024学年高一下学期4月月考数学试题