名校
解题方法
1 . 在
中,点
,
分别在边
和边
上,且
,
,
交
于点
,设
,
.用
,
表示
为__________ ;若
为
上一动点且
,则
的最小值为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/188c4084d1cfff4f1328e24b7621f98a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11fbc3a1f1e848cf1349b9327be8607d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c20cbdfe479954ba2bc33142bc931c33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/066bca5c293e81c8579c85cb365c4a34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/471ac0f42d01c6d6e094b63628586e4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c2b40f03244a180953e5c99c929a723.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a81cef66ee751c4400eda062b694958f.png)
您最近一年使用:0次
名校
解题方法
2 . 在
中,
,
是
的中点,延长
交
于点
.设
,
,则
可用
,
表示为__________ ,若
,
,则
面积的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d74b1d0480790400a9223e4437afdba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c884b508394b3ab50734b584d9ec783c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.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/5f3adc4ed291596abf3bb93ae7a075d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f386f5b56b07b96f2600da1be15414a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7239b3f2d88c2e45e17e5de9ae1a332.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/684d2bbdd30443a7b73738d051d9a5dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9938f4e86299b789840a58159eb9527.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
2024-04-24更新
|
1272次组卷
|
3卷引用:天津市部分区2024届高三质量调查(二)数学试卷
名校
解题方法
3 . 在等腰梯形
中,
,
,
,点F在线段AB上且
.
(1)用
和
表示
;
(2)若点
为线段
上的动点,且
,求
的最大值;
(3)若点
为直线
上的动点,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10df84d553a8826a7ce9bff4bf0d95b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e921f46d90e43f4517c55832b6280f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d318ccd750364557b52b8e2fd9e47eb0.png)
(1)用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a754ad0537577221e7be168127d7cba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dc3c7d64ba3f82cb0853d6f674a1f44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdf814115dc9fea36cc1b6cd2b293390.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4262b00ecc79ba6235a0118138da4f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b88584cf1df43e28d03592c7998b1653.png)
(3)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/665dff688b01dadc549e0d354b836aa1.png)
您最近一年使用:0次
名校
解题方法
4 . 在
中,M是边BC的中点,N是线段BM的中点.设
,
,记
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bf5c1d124e8e023fe8e8c5ef3412813.png)
__________ ;若
,
的面积为
,则当![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a779e711b3900db89bd868360dcfaa.png)
__________ 时,
取得最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7b9d8a08fc52c31cc1a7f527d18b55c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f386f5b56b07b96f2600da1be15414a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc51bdc8c2c18379db1affbb06f8923f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bf5c1d124e8e023fe8e8c5ef3412813.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c06393c604df2200ce9fd4bc9e67c2ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a779e711b3900db89bd868360dcfaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12e6f0e94393fc6bbd9b4b83ede534ac.png)
您最近一年使用:0次
2024-03-01更新
|
1462次组卷
|
6卷引用:天津市和平区耀华中学2024届高三下学期寒假验收考数学试卷
天津市和平区耀华中学2024届高三下学期寒假验收考数学试卷天津市实验中学滨海学校2023-2024学年高一下学期随堂质量监测(月考)数学试题(已下线)信息必刷卷04(天津专用)(已下线)2024年天津高考数学真题平行卷(提升)(已下线)第2套 新高考新结构全真模拟2(艺体生)(已下线)压轴题03不等式压轴题13题型汇总 -1
名校
解题方法
5 . 在
中,
,当
时,
的最小值为
.若
,
,其中
,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f11dd0962a6f2e996b1c523783c98acd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71b8e5990ef4ef314941a3154457a9d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d8d8b400f041ac4a256e1108cd459c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d788a8f1a85eda30184e507bb7bd47bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b845f89bcb2c14dfe441644f499b09e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4206c284be2d1a6aebbc0434e2eba43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14329b73af66646b981e106896efdc10.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-01-21更新
|
944次组卷
|
7卷引用:天津市第四十七中学2023-2024学年高一下学期第一次阶段性检测(3月)数学试题
天津市第四十七中学2023-2024学年高一下学期第一次阶段性检测(3月)数学试题北京市朝阳区2024届高三上学期期末数学试题(已下线)重难点4-1 平面向量的最值与范围(4题型+满分技巧+限时检测)(已下线)考点2 平面向量基本定理及坐标表示 --2024届高考数学考点总动员【讲】北京市陈经纶中学2023-2024学年高一下学期阶段性诊断(3月)数学试卷(已下线)【一题多变】定比分点 数乘求解(已下线)【讲】 专题二 与平面给向量数量积有关的范围与最值问题(压轴大全)
名校
解题方法
6 . 在平面四边形中,
,则
的值是( )
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
7 . 在
中,
,角
为锐角,且向量
在向量
上的投影向量的模是3,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f1e5d29de6e4d72bfed62d9c14dde5.png)
________ ;若
,则函数
的最小值为_______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6834ac70927ae08d7d36a1922403c9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abcb5d89b04570ceda2c29e11cb27a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5f1b06a56fc382feed28e01f1ad102.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f1e5d29de6e4d72bfed62d9c14dde5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1682d306c38087d9e6f7efb9cec596a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c6b2a53572ff98ee615c6973cb2459d.png)
您最近一年使用:0次
8 . 窗花是贴在窗子或窗户上的剪纸,是中国古老的传统民间艺术之一,图l是一个正八边形窗花隔断,图2是从窗花图中抽象出的几何图形的示意图.如图2,正八边形ABCDEFGH中,若,则
的值为
的取值范围是
您最近一年使用:0次
2023-04-25更新
|
1131次组卷
|
3卷引用:天津市河西区2023届高三二模数学试题
天津市河西区2023届高三二模数学试题江苏省盐城市实验高级中学2024届高三上学期第6次质量检测数学试题(已下线)第六章 平面向量及其应用 单元复习提升(1)-单元速记·巧练(人教A版2019必修第二册)
名校
解题方法
9 . 在四边形
中,
,
,
,且
,
,则实数
的值为______ ,若
是线段
上的动点,
是线段
上的动点,且满足
,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/784d093b48df0ba4ae15ea1368fe85e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efc6e4b936d7a800e839a30c3839574d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07160f14b3b453bebb64cb2bf96dc85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89f5e41d69560211d05f5bb14240a7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61cc197a3e8b2d256c60cb7502811b65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b6b84f315b2e1ee8c30e54895f62cb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2ab157cd50abfa3a6de8027f3f0b424.png)
您最近一年使用:0次
2023-01-13更新
|
1239次组卷
|
4卷引用:天津市第二新华中学2022-2023学年高三上学期期末数学试题
天津市第二新华中学2022-2023学年高三上学期期末数学试题天津市南开大学附属中学2023届高三下学期2月统练(一)数学试题广东省东莞市厚街中学2022-2023学年高一下学期3月月考数学试题(已下线)专题01 平面向量压轴题(1)-【常考压轴题】
名校
解题方法
10 . 在菱形
中,
,已知点
在线段
上,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ad644a4baf95768ed2f087442aa18d1.png)
______ ,若点
为线段
上一个动点,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8a01f0618ab3059b67225d90607e79e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00a28be4d5a16cf245f6fa7c4088fee4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f185015e0fea2bc05c1146f2d758ac5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ad644a4baf95768ed2f087442aa18d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe9eeee83b4b7c6ceac7828ff534ce15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26b10ec77d4e7aca3d4e8dfe1dda9a75.png)
您最近一年使用:0次
2022-10-19更新
|
989次组卷
|
5卷引用:天津市南开中学2022-2023学年高三上学期统练5数学试题
天津市南开中学2022-2023学年高三上学期统练5数学试题(已下线)黄金卷07天津市第二十中学2023-2024学年高三下学期第三次统练数学试卷福建省泉州市2021-2022学年高一下学期期末教学质量监测数学试题(已下线)9.3.1 平面向量基本定理2