名校
解题方法
1 . 已知
的面积为3,
,
为
所在平面内异于点
的两个不同的点,若
且
,其中
,则
的面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d5bc7da11e313e3b887d34d41b99473.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbb5a7b16c8dcaf514a7555d5a0ee866.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3be362dec96173f246ff747264007817.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9763846b1131e1e3e2d741ad95d5bb0.png)
您最近一年使用:0次
2020-09-07更新
|
1123次组卷
|
5卷引用:上海市建平中学2020届高三下学期7月摸底数学试题
上海市建平中学2020届高三下学期7月摸底数学试题(已下线)考向11 正弦、余弦定理和解斜三角形-备战2022年高考数学一轮复习考点微专题(上海专用)(已下线)考向12 平面向量的概念及线性运算-备战2022年高考数学一轮复习考点微专题(上海专用)安徽省芜湖市第一中学2021-2022学年高一下学期期中数学试题福建省永春第一中学2022-2023学年高一下学期3月月考检测数学试题
名校
2 . 三角形蕴涵大量迷人性质,例如:若点
在
内部,用
分别代表
、
、
的面积,则有
.现在假设锐角三角形顶点
所对的边长分别为
为其垂心,
的单位向量分别为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62d13a98ed96a1ae88ffe10e610d1516.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8107b32580631df2ffa5a190cb1c35d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebcc52a06d806fde891e09a0a389fcd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/806fd60fb45a557b7f33fe601c919313.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4aa596729b1f446947b597557f6cc32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/162f6434979607bdb53bde3cc3066a1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff3fde1d32978fd316b8324fcab75a3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ae0bbc15c3f7f2edbb78ecfde40825d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62d13a98ed96a1ae88ffe10e610d1516.png)
您最近一年使用:0次
2020-08-15更新
|
1163次组卷
|
7卷引用:上海市复旦大学附属中学2019-2020学年高一下学期期末数学试题
上海市复旦大学附属中学2019-2020学年高一下学期期末数学试题(已下线)第14讲 向量单元复习(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)(已下线)上海期末真题精选50题(小题压轴版)-2020-2021学年高一数学下册期中期末考试高分直通车(沪教版2020必修第二册)(已下线)第8章 平面向量(章节压轴题专练)-2020-2021学年高一数学下册期中期末考试高分直通车(沪教版2020必修第二册)(已下线)第04讲 平面向量的数乘运算(已下线)重难点专题01 妙用奔驰定理解决三角形面积比问题-【帮课堂】(苏教版2019必修第二册)(已下线)专题01 平面向量-《期末真题分类汇编》(人教A版2019必修第二册)
名校
3 . 已知点
为
内一点,
,则
的面积之比为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f368dbe6a274ae1fad8ea4f8e8a7455.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0644256b0c90bc30016da2bfc179614.png)
您最近一年使用:0次
解题方法
4 . 如图,点D为
的边BC上一点,
,
为AC上一列点,满足
,其中实数列
满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7ff292d5cb7c72257b0ae23ca5a9394.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c290cdc4cf3d6b82581e68ecaf5c7f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c2103db0056a54c24246af3e9397e7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/308ce3f23e49f9b944bd514e985d64bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7ff292d5cb7c72257b0ae23ca5a9394.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/26/89e06f95-4fbf-4f85-b69a-f04a1560f2c2.png?resizew=257)
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名校
解题方法
5 . 已知点
是
的内心,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10a27dc396251a4453094d19baa79816.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccace785cef8d6392fc6dde1e8768703.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10a27dc396251a4453094d19baa79816.png)
您最近一年使用:0次
2020-02-20更新
|
1521次组卷
|
4卷引用:2019届福建省福州第一中学高三下期2月数学理科试卷
2019届福建省福州第一中学高三下期2月数学理科试卷(已下线)9.6 平面向量综合练习(提优)2020-2021学年高一数学同步课堂帮帮帮(苏教版2019必修第二册)江苏省镇江市句容碧桂园学校2020-2021学年高一下学期第一次月考数学试题(已下线)重难点突破01 奔驰定理与四心问题(五大题型)
名校
解题方法
6 . 已知点
为线段
上一点,
为直线
外一点,
是
的角平分线,
为
上一点,满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3c8a6448513cbc032a2a3d3795c1b52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/865b9bd22dab6e53ff7bd8ef5764ebdb.png)
,
,
,则
的值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb686e4f5e3938575bc547e849d5513f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3c8a6448513cbc032a2a3d3795c1b52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/865b9bd22dab6e53ff7bd8ef5764ebdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2728603fe176de9c3f123ac1b4d9396e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4ed724adaabcea68e4c5e510a2c506d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ec9c781edad564b6fca9c37c4486f58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1bd630ea6186d3a031879896bed4d22.png)
您最近一年使用:0次
2020-02-18更新
|
1055次组卷
|
4卷引用:2020届辽宁师范大学附属中学高三10月月考数学(理)试题
2020届辽宁师范大学附属中学高三10月月考数学(理)试题山西省长治市第二中学校2021-2022学年高一下学期期中数学试题(已下线)高一下期中真题精选(压轴60题专练)-【满分全攻略】2022-2023学年高一数学下学期核心考点+重难点讲练与测试(人教A版2019必修第二册)(已下线)第一次月考填空题压轴题十四大题型专练-举一反三系列
7 . 已知
中,
为其内任一点,满足
,且
,则
为______ 三角形.
![](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/a05a266de6e73486d1c04003321c26ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6df8b134aae47607e2a2bdadf9513a6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
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名校
8 .
的三个内角
,
,
的对边分别是
,
,
,则:
①若
,则
一定是钝角三角形;
②若
,则
为等腰三角形;
③
,
,若
,则
为锐角三角形;
④若
为
的外心,
;
⑤若
,且
,则
.
以上叙述正确的序号是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5994e5c8a4f569f8c4db3b0f66a16a7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01e02e6946143207c276f7430942c1b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf687f7ff2ea3eb54a665e799c9b2dee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55b766e1414ad7445839c7ac2b9becc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c1e552a1451270703a86e592d7dd656.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e9cc0ee2711b877dfef17bc89b410e2.png)
⑤若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c747944478053389224dffa40c6ba8b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a05a266de6e73486d1c04003321c26ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55e29f4ff9970d5ec450c173b72e7861.png)
以上叙述正确的序号是
您最近一年使用:0次
2020-01-31更新
|
1010次组卷
|
2卷引用:新疆维吾尔自治区石河子市石河子第一中学2019-2020学年高二上学期期末数学试题
名校
9 . 如图,等腰直角
中,点
为
的重心,过点
的直线与
两边分别交于
两点,且
,则
的最小值为______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f1f94af7f35686f4a8a268392abc9ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bf3f7917a546fcb0a7f6c11001c7e7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febf7413b35cf2889fdb57a6b519087c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/31/2aa97db9-2f47-4f5e-92d1-fd036c08e0a6.png?resizew=169)
您最近一年使用:0次
名校
10 . 定义域为
的函数
的图象的两个端点为A,B,
是
图象上的任意一点,其中
,向量
,其中O是坐标原点
若不等式
恒成立,则称函数
在
上“k阶线性近似”
若
在
上“k阶线性近似”,则实数k的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0eb7f0759565b9d36008d49b627583a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c7028a5fa4d781d382ca3b73b74796e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb6cc602f5b22673491f481152b49327.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16aff237a786c2bece123185d921bbc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d98ad800d7c8aea55819e58b3947e90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd06de2ef0e540c75933b8e794eb1fb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0eb7f0759565b9d36008d49b627583a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ffc845e4b7e5bb9aa0f4ddf38cd8df7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35246b1f7e094e6e7ea093f2f53a1a3f.png)
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