1 . 如图,在直角三角形ABC中,
,
,点P是斜边AB上一点,且
,那么![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a500de3d45829f2c2a7f73932b9fc1f7.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13ba5383e768dc86e1bfd79c10f96f4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/209acf15985d1ea1ad86fc4a37e38c0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6864a5a006350fe18591c1a1f1b96553.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a500de3d45829f2c2a7f73932b9fc1f7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/6/336ded55-f1fb-4830-98ab-c3cb76e3fd6e.png?resizew=128)
您最近一年使用:0次
2 . 已知点P、Q在△ABC内,且
,则
等于.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942639bea5d7bcd343a078af0d5e44f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edb24d40a0166c737af1ba7381315970.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
3 . 设H是△ABC的垂心,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94091d69879156a80e8816f06978923c.png)
_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34e82aba554f42dd062cac247b9a7fd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94091d69879156a80e8816f06978923c.png)
您最近一年使用:0次
2019-01-28更新
|
659次组卷
|
3卷引用:2018年全国高中数学联赛安徽省预赛
2018年全国高中数学联赛安徽省预赛江苏省南京市金陵中学、南通市海安高级中学、南京市外国语学校2020届高三下学期第四次模拟数学试题(已下线)专题07 奔驰定理与四心的相关运算及构造圆解决向量问题-【重难点突破】2021-2022学年高一数学常考题专练(人教A版2019必修第二册)
4 . 设
的面积为1,边AB、AC的中点分别为E、F,P为线段EF上的动点,则
的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d2cc1508927fbb71a914341a289aa1e.png)
您最近一年使用:0次
5 . 在△ABC中,已知
,设0为△ABC的内心,且
.则λ+μ=________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/751365882078f83f46e0a3a772393506.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91d46574732ca9040b5b76c76e7e06fe.png)
您最近一年使用:0次
2014·上海徐汇·一模
名校
6 . 如图,在边长为2的正六边形ABCDEF中,动圆⊙Q的半径为1,圆心在线段CD(含端点)上运动,P为⊙Q上及内部的动点,设向量
.则m+n的取值范围是_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/beccc50ef0e3ef9363b331b36babc903.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/7/dc910051-0334-48d4-be6a-6ed16243155b.png?resizew=155)
您最近一年使用:0次
2018-12-29更新
|
388次组卷
|
6卷引用:数学奥林匹克高中训练题_190
数学奥林匹克高中训练题_190(已下线)2014届上海市徐汇、金山、松江区高三下学期学习能力诊断理数学试卷(已下线)2014届上海市徐汇、金山、松江区高三下学期学习能力诊断文数学试卷(已下线)《2018届优等生百日闯关系列》【江苏版】专题一 第二关 以向量为背景的填空题上海市延安中学2016届高三下学期开学摸底数学试题(已下线)第13讲 向量的应用(讲义)-【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)
7 . 在
中,已知
为外心,三条高线
、
、
交于点
,直线
与
交于点
,
与
交于点
.则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/718812b8d72129d20fa82f115fa08291.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21037e170bdbb322558e79c40c00b454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00bab17635a999236e8d2e35017a208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/718812b8d72129d20fa82f115fa08291.png)
您最近一年使用:0次
8 . 设
是锐角
所在平面内一点(在
外),
于点
.若
则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e790b18744cd5aea7cb42ff984186a0.png)
_________ (用
表示).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9178fc8b5d65aa75fa9196294a0db7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9178fc8b5d65aa75fa9196294a0db7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad63ab71efa010821650ffe08bd907f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb329df541e02373a5321a09aa31ffe6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e790b18744cd5aea7cb42ff984186a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c38fe2c71e008615306cd00dd26ac34d.png)
您最近一年使用:0次
9 .
满足
.则
是.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c62bbe32fa9af3fdbfbae3a09a766ace.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.直角三角形 | B.锐角三角形 | C.钝角三角形 | D.等腰三角形 |
您最近一年使用:0次
10 . 把直线
上的点
按向量
平移后,得直线
上的点
,有
,
.则
的值( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa6342e0a5a8942cfb1cf535ceb2c50d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82a79a33a83a7ba57a34b5093d1d1d02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63cfa276d4315c5b77cbe010a06854b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0e212cdbfba6610bc55df2c1a737407.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56720e2f2b0ddd72156da495923698da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f55c8cdd1dcb11a5d4602489e7128717.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f6baa80a792516b83ac50fc6f46a737.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b587f360c1a3ce5345d5b8f3145fbdfc.png)
A.等于1 | B.等于2 |
C.等于3 | D.不能确定,与![]() ![]() |
您最近一年使用:0次