名校
1 . 在
中,点
满足
,若线段
上的一点
满足
(
,
),则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b68bb85ea6aa8aa2efa116edcdeb15cd.png)
__________ ,
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/f40e60892ec7dbc55d0251584a5c81e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36965c4fa2678fe61578db7f38ac37c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061813f1ec633c5c4c393c4de7938322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b68bb85ea6aa8aa2efa116edcdeb15cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05743d5fc1671f25464dea7073a31e29.png)
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2023-05-20更新
|
258次组卷
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2卷引用:天津市滨海新区田家炳中学2023-2024学年高三上学期期中考试数学试题
2022高三·全国·专题练习
解题方法
2 . 在
中,点D为AC的中点,点E满足
.记
,
,用
表示![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd27dd5543eabc922bdbe03eb5bfd496.png)
________ ;若
,则
的最大值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34d089282549ac956f7967b68d34dc7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/319ad2785c82f621c4b807bb9a2493c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9a6facc3f8956c8fea30f60455804f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e8b95a61af300412fc65f846089028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd27dd5543eabc922bdbe03eb5bfd496.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9874eca4abea481fa84eb772a920f9c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fabb884dc5f9609de491245463bbe9a.png)
您最近一年使用:0次
3 . 在
中,
,
,若
为其重心,试用
,
表示
为________ ;若
为其外心,满足
,且
,则
的最大值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a79f2cfa5e197f859d8cac3d2287ece9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f39282450bc4833027a7bdfa81c39f62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.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/2fc82b2473d4295b1f6351c46b7f1fd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61a6510ac6350e9df2a3540fd459e31c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf1e9198ee4a149e2d3858b2c92990ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
解题方法
4 . 如图,在
中,
,
,若
,则
的值为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/18/6fe9da0f-48ab-4d0b-9582-e6efafc6e5a0.png?resizew=181)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f33f9df690436316624f18a006972c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12d5e22578854c3bbd960b39eb0c64e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bf271d6475f5305bc922677b4cfe28c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b32f2d4d1d2c16c54b2caef17840bfcb.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/18/6fe9da0f-48ab-4d0b-9582-e6efafc6e5a0.png?resizew=181)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-05-18更新
|
1103次组卷
|
3卷引用:天津市和平区2023届高三三模数学试题
名校
5 . 如图,在
中,
,
,P为CD上一点,且满足
,若
,则
的最小值为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/14/5e725f0e-b1a2-4bcd-9817-4268cb491d3c.png?resizew=132)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1371fe98a65d8ebd840c8d98346b6d15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5c9ba21933a3ac9f13936183443e8d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/505ec088ad5838f5e6df020daadbf80c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7315d701498c8f688b8981d4ec629b18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/596f68ba4b746cab4b2c26ffce554b5a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/14/5e725f0e-b1a2-4bcd-9817-4268cb491d3c.png?resizew=132)
A.2 | B.3 | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
6 . 在梯形
中,
,且
,
,
分别为线段
和
的中点,若
,
,用
,
表示![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8926ddd0b69d714c7310cc5bf23d199d.png)
__________ .若
,则
余弦值的最小值为__________ .
![](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/12143a06ed24558d8cc7ad39961d3e1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7b9d8a08fc52c31cc1a7f527d18b55c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/184359fe3cadc363cf4ebe586c2b3db4.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/8926ddd0b69d714c7310cc5bf23d199d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12ea0422a6bd1df9039ecaece802b55d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4189a0821a0ffab9dc171ecd279ba442.png)
您最近一年使用:0次
2023-05-10更新
|
3185次组卷
|
15卷引用:天津市河西区2023届高三一模数学试题
天津市河西区2023届高三一模数学试题天津市第一中学2023-2024学年高三上学期开学考试数学试题天津市滨海新区塘沽第一中学2024届高三上学期第二次月考(期中)数学试题天津市南开区南开中学2024届高三上学期统练10数学试题天津市第一中学滨海学校2024届高三第四次学业水平质量调查数学试卷天津市九校2024届高三下学期联合模拟考试(一)数学试卷天津市第一中学2022-2023学年高一下学期期中数学试题(已下线)2023年天津高考数学真题变式题11-15(已下线)专题突破卷14 平面向量的最值范围问题(已下线)模块6 平面几何篇 第1讲:向量合成定理与三角形四心【练】(已下线)考点5 平面向量的应用 --2024届高考数学考点总动员【练】(已下线)6.4.1 平面几何中的向量方法-同步精品课堂(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-举一反三系列山东省烟台市莱阳市第一中学2023-2024学年高一下学期3月月考数学试题山东省临沂第十八中学2023-2024学年高一下学期3月阶段性测试数学试题
名校
7 . 在直角梯形
,
,
,
,
,
,
分别为
,
的中点,点
在以
为圆心,
为半径的圆弧
上变动(如图所示),若
,其中
,
,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1134c8e3440abb6cd385af2c169037fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fe2f6543e06a25493855fbbc648be6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b09f34fb06ae90a8d7b1a25ea01645.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8c9aedf70a0d7dae193ec00ca059565.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10ad06fd37c172a5a792350a987772db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cefeddff52b02a43831beeb4bb6faa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b41a384997b1c3a570b2eeb61aea30a.png)
您最近一年使用:0次
2023-05-05更新
|
867次组卷
|
4卷引用:天津市南开中学2023届高三统练24数学试题
天津市南开中学2023届高三统练24数学试题(已下线)单元提升卷07 平面向量与复数河南省焦作市博爱县第一中学2024届高三下学期第二次模拟考试数学试题(已下线)6.3.2+6.3.3+6.3.4平面向量的正交分解及坐标表示【第三课】“上好三节课,做好三套题“高中数学素养晋级之路
8 . 在平面四边形
中,
,
,
.若E、F为边BD上的动点,且
,则
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77c8083a2d358a64b637d9a69b144711.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c498dcbc93e088cf060b91f1b81474ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee2d3de51cdea0e0e04f2fdea3731ea4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c11bbadb3cbd45176396fa7320a6e63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59809f2fa9ce4c833cdf5fe102feb8d8.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-04-29更新
|
1185次组卷
|
3卷引用:天津市十二区重点学校2023届高三下学期毕业班联考(二)数学试题
天津市十二区重点学校2023届高三下学期毕业班联考(二)数学试题(已下线)2023年高考全国乙卷数学(理)真题变式题11-15天津市武清区杨村第三中学2023-2024学年高一下学期第一次过程性评价数学试题
名校
9 . 平面四边形
中,
,
,
,
,
,点
在直线
上,点
在直线
上,且
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e13a6d893fc9e66d39ec5e15f13224b4.png)
,
,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f79863ffcfa63117ca6741b20a48e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e2a44d05b1d387150c4b359e021ffc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d27bd71d79cb19eb554175e4ef0867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea4f5eec0addba78f2e0cdfb7ecc59a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f461f7dcbb83261ee131c959e2a199a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e13a6d893fc9e66d39ec5e15f13224b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46f334b95af405ecc4d4d7385a895732.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/221a7aadd90eff6787dcd3734c1cd22f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febf7413b35cf2889fdb57a6b519087c.png)
您最近一年使用:0次
解题方法
10 . 已知等边三角形
的边长为1,射线
、
上分别有一动点
和
(点
在点
与
之间),当
时,
的值为________ ;当
时,
的最小值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec09afc856f1001b6bd23401ff9e4429.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef73c47c0a9e22687ca5b2569352880d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c4bd187c8e7c837f981a4cd4fed0b35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef73c47c0a9e22687ca5b2569352880d.png)
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