1 . 若向量
、
、
满足
,且
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88449ead0e93ab8cfc34b2ddcb16be5b.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb573cc0f30d5c32cdad1510793f0e7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e29168fe500dd6e7014659fc80a774e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa5aa846a5b7c96fe2ce665eb1ea5f0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd18461fd9d77e6fa46a654f0ab540f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/082c6926889f84f438ea35f70bf05f02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88449ead0e93ab8cfc34b2ddcb16be5b.png)
您最近一年使用:0次
2021-03-25更新
|
109次组卷
|
3卷引用:沪教版(2020) 必修第二册 领航者 第8章 平面向量 每周一练(1)
解题方法
2 . 设
是两个非零向量,若
与
垂直,
与
垂直,求
与
的夹角.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8ccba3b87a8a48ac3dd5f72d00bdb1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8827d05338e55f9b60f882d66492ff70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ecb6af2d602608a80170a8f1d0b13e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f1c1dd6b13d92f2cc2eef097e14c07c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f04039292017b48bb2232442e4511c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
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3 . 如图所示,已知
是菱形,
与
是两条对角线.求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfc1f76257275ab4b04f9bc913535670.png)
![](https://img.xkw.com/dksih/QBM/2020/2/2/2390465596506112/2391700167761920/STEM/23d9ac508a0b45de8ef6618fa6c50785.png?resizew=206)
您最近一年使用:0次
名校
解题方法
4 . 已知平面向量
满足
,且
的夹角为30°,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64fa2fcefaf3d8868da0cb52877c5247.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/083bfcecd94ce81f4f86ee0c85d49426.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64fa2fcefaf3d8868da0cb52877c5247.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
5 . 已知点P是△ABC的内心(三个内角平分线交点)、外心(三条边的中垂线交点)、重心(三条中线交点)、垂心(三个高的交点)之一,且满足
·
,则点P一定是△ABC的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e6d16a6e62b2ff663b2f86002ec79ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3f48c78c740940980d4cbc291a6cadf.png)
A.内心 | B.外心 | C.重心 | D.垂心 |
您最近一年使用:0次
2016-12-03更新
|
230次组卷
|
4卷引用:专题2.4 平面向量与三角形的四心问题-2021-2022学年高一数学北师大版2019必修第二册
名校
解题方法
6 . 在直角坐标系
中,已知点
和点
,其中
,若
与
垂直,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/721a5d5d3ff2145bd9be88e43bb2afae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b68cb1b77b67c79b677a02ce5413ee1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4908e3b4e523c042732ccb7c215aac99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cec64476aaca08de0808afda3618109c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03b0ab2519d0fb666743993961daee47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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2021-01-10更新
|
97次组卷
|
3卷引用:第11讲 向量的数量积(练习)-【教育机构专用】2021年春季高一数学辅导讲义(沪教版2020必修第二册)
(已下线)第11讲 向量的数量积(练习)-【教育机构专用】2021年春季高一数学辅导讲义(沪教版2020必修第二册)福建省仙游第一中学2019-2020学年高一上学期期末模拟考试数学试题福建福州第八中学2019—2020学年高一上学期期末数学试题
7 . 已知两个单位向量
的夹角为45°,且满足
,则实数
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42503437fb44722722cd20835f11d233.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a9987a68aedb7927f2112ad65ddd6ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
A.2 | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
8 . 已知向量
满足|
|=2,|
|=
,
与
的夹角为
,
,则实数
=________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/406b5eb37772dba7e4884a6c25a51d1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e3b9a20c31e397ae1dc8a44baf7de91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30ec7951327f51a23d96e0aed57587eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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2018-03-02更新
|
407次组卷
|
2卷引用:人教A版 全能练习 必修4 第二章 本章基础排查(二)
9 . 已知双曲线
的焦点为
、
,点
在双曲线上且
,则点
到
轴的距离等于 .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d34cf4ed961f4052ed35c7475c7d32e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa093317a6cfccae7c54fa5bc893d84a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
2016-12-03更新
|
819次组卷
|
3卷引用:沪教版(上海) 高二第二学期 新高考辅导与训练 第12章 圆锥曲线 12.6(1) 双曲线的几何性质
解题方法
10 . 在
中,
,则下列正确命题的个数是( ).
①若
,则
是钝角三角形;
②若
,则
是直角三角形;
③若
,则
是等腰三角形;
④若
,则
是正三角形.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4606f19ef62fee6cb2322c5e32cb8fe8.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abdab13be1e0b75550db1b6ad88c2b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2cc1f1ef9ad32eef62aefa4c3fc3d6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1b923f41c82e199d558a3f13f80ba4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec72e671c7bac2f4d6ad97597aa69286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.1 | B.2 | C.3 | D.4 |
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