1 . 如图,在梯形
中,
,
,
,
,
,
![](https://img.xkw.com/dksih/QBM/2021/12/22/2878010875420672/2893045185396736/STEM/72dfa622-c539-4bfb-b3aa-fc9a5f8dcad3.png?resizew=160)
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd9d92ab432166a9f3c5fe4ad4853b77.png)
________ .
(2)P是
上的动点,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/9f08273d339dc5ddbb89aa67bb8205e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc11331a7b2d2619b40ee6d34c3bd620.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/833cfda415649b832cc136caed392753.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea4f5eec0addba78f2e0cdfb7ecc59a6.png)
![](https://img.xkw.com/dksih/QBM/2021/12/22/2878010875420672/2893045185396736/STEM/72dfa622-c539-4bfb-b3aa-fc9a5f8dcad3.png?resizew=160)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd9d92ab432166a9f3c5fe4ad4853b77.png)
(2)P是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e980189382987ed066a9cbd60882d27.png)
您最近一年使用:0次
名校
2 . 在直角梯形
中,
,
,
,
为
边上一点,
,
为直线
上一点,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9060f03b9ee41d70d135b1e1a8902ce9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3402ea855e2ae2dcd98f607bef4fdd6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b75629a0e94f8c09fb966872c9d10461.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/6763fcdc5fdad3266e4fca1a7104c6ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f68bfa7c2b5261275e435656e77d56d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2021-05-17更新
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1438次组卷
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5卷引用:天津市微山路中学2021-2022学年高一下学期阶段考试数学试题
天津市微山路中学2021-2022学年高一下学期阶段考试数学试题天津市南开区2021届高三下学期二模数学试题天津市杨村一中、宝坻一中等四校2020-2021学年高一下学期期末联考数学试题河南省郑州市第四十七高级中学2020-2021学年高一下学期5月月考文科数学试题(已下线)10.3 平面向量的应用(精练)-【一隅三反】2022年高考数学一轮复习(新高考地区专用)
名校
3 . 如图,在平面四边形
中,
,
,
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a258cd6bc17e376271e7ec49cd29a8d8.png)
___________ ,若
是线段
上的一个动点,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/d777adf392866d76f7b60ef508140d98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b96fac11d72f72c805dbddb8da72d68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f498b5078c72e038c7140d83b577f40d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a258cd6bc17e376271e7ec49cd29a8d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3984294fc399b72f09933c97420cf0c7.png)
![](https://img.xkw.com/dksih/QBM/2021/4/2/2691236538720256/2691673571753984/STEM/6e9e36ff-b94c-428f-90bf-cd9712050678.png?resizew=205)
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2021-04-03更新
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1355次组卷
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5卷引用:天津市静海区第一中学2022-2023学年高一下学期3月学业能力调研数学试题
天津市静海区第一中学2022-2023学年高一下学期3月学业能力调研数学试题天津市部分区2021届高三下学期质量调查(一)数学试题天津市扶轮中学2022-2023学年高三上学期期末(线上)数学试题(已下线)押第4题 平面向量-备战2021年高考数学(文)临考题号押题(全国卷2)(已下线)押第3题 平面向量-备战2021年高考数学(理)临考题号押题(全国卷2)
4 . 如图,在矩形
中,
,
,
,
为
的中点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0c21bd6bfaead359e234b23ae0fc232.png)
______ ;若点
在线段
上运动,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efc6e4b936d7a800e839a30c3839574d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d27bd71d79cb19eb554175e4ef0867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39e7b83a2497d1662d1a95ec4cbb7495.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/c0c21bd6bfaead359e234b23ae0fc232.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4d115d7748ac1cc01a3f8867929bac9.png)
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2021-03-24更新
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6卷引用:天津市河东区第四十五中学2024届高三上学期12月月考数学试题
天津市河东区第四十五中学2024届高三上学期12月月考数学试题天津市武清区杨村第一中学2021届高三下学期高考热身训练(二)数学试题(已下线)信息必刷卷01(天津专用)2021年浙江省新高考测评卷数学(第九模拟)(已下线)第8章 平面向量章节考点分类复习导学案(已下线)专题06 平面向量的模与夹角(练)--第一篇 热点、难点突破篇-《2022年高考数学二轮复习讲练测(浙江专用)》
名校
5 . 如图,在
的边上各自做匀速运动的点D,E,F,当
时分别从点A,B,C出发,以各自的 定速度向点B,C,A前进,当
时分别到达点B,C,A.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/ef2d4b5f-0f3c-4fac-8d1b-0b38bda26f6f.png?resizew=142)
(1)证明:在运动过程中
的重心保持不变;
(2)若
的面积为S,求
的面积的最小值
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aeb9a94e392f6759b18abed89aacc5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a2a51944c720568f35d443589dfc1aa.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/ef2d4b5f-0f3c-4fac-8d1b-0b38bda26f6f.png?resizew=142)
(1)证明:在运动过程中
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe6f083d01de5d6212394f67dc517e20.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cb97395ebc5ee1b212afb7a97b985c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1d336e14788f6f1d303b06965b19f94.png)
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2021-03-23更新
|
363次组卷
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3卷引用:天津市南开中学2020-2021学年高一下学期3月月考数学试题
名校
解题方法
6 . 如图,在△ABC中,
,P为CD上一点,且满足
,若
,则
的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bae6004a036edf9374dd258226cdabb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ff521c939645e1524e9e1a6454f8e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cca2a8730143e8a5d5d91fe1104cfad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f73bf2c8f7430a43fc8127e7713e7fc4.png)
A.2 | B.4 | C.![]() | D.![]() |
您最近一年使用:0次
2021-07-20更新
|
884次组卷
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4卷引用:天津市第四十七中学2023-2024学年高一下学期第二次阶段性检测(6月月考)数学试题
解题方法
7 . 如图,在边长为2的正三角形
中,D,E分别为边
,
上的动点,且满足
(m为定常数,且
),若
的最大值为
,则
( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/0b3c0e07-611f-44b6-a99e-0f976bf89eb8.png?resizew=106)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9abaeba15f3abdd877bc701af52c5cd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c013b4a98c3b3b2d35cadcf97d81037d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc2431261f8050cc35eda8dcaec83bba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/701e4e97d4981dfc9046eab5a81e428d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d78fd95f89dec2d373fa57f02acd739f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/0b3c0e07-611f-44b6-a99e-0f976bf89eb8.png?resizew=106)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2020-12-16更新
|
661次组卷
|
2卷引用:天津市南开区南大奥宇培训学校2020届高三下学期第三次月考数学试题
名校
解题方法
8 . 正方形
的边长为
,
是正方形
的中心,过中心
的直线
与边
交于点
,与边
交于点
,
为平面内一点,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/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.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/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45c7da76e6ab31a053b56a480d61d27d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6e057c31608d8a78166c09ddeb3a5a3.png)
您最近一年使用:0次
2020-12-07更新
|
2011次组卷
|
19卷引用:天津市益中学校2022-2023学年高一下学期3月学情调研数学试题
天津市益中学校2022-2023学年高一下学期3月学情调研数学试题河北省石家庄市一中东校区2020-2021学年高一下学期第一次月考数学试题福建省厦门大学附属科技中学2021-2022学年高一3月考数学试题天津市河东区2021-2022学年高一下学期期中数学试题天津市蓟州区第一中学2021届高三下学期模拟检测四数学试题河南省新乡市辉县市第一高级中学2020-2021学年高一下学期第二次阶段性考试数学试题河北省保定市第一中学2022-2023学年高一下学期第三次考试数学试题河南省信阳市浉河区信阳高级中学2022-2023学年高一下学期4月月考数学试题上海市普陀区桃浦中学2022-2023学年高二上学期10月月考数学试题福建省厦门大学附属科技中学2023-2024学年高一下学期3月阶段性测试数学试卷2020届上海市崇明区高三第一次高考模拟数学试题上海市杨浦高级中学2020-2021学年高二上学期期中数学试题(已下线)第13讲向量的应用(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)高一期末押题03-2020-2021学年高一数学下学期期末专项复习(沪教版2020)广西南宁市第三中学(五象校区)2020-2021学年高一下学期期中考试数学试题上海市闵行区(闵行中学、文绮中学)2020-2021学年高一下学期期末联考数学试题(已下线)模块08 平面向量的坐标表示-2022年高考数学一轮复习小题多维练(上海专用)上海市第三女子中学2022届高三上学期期中数学试题(已下线)专题13 平面向量(模拟练)-1
名校
9 . 如图,在等腰梯形
中,
,
,
是
的中点,点
在以
为圆心,
为半径的圆弧
上变动,
为圆弧
与
的交点,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/5f79863ffcfa63117ca6741b20a48e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1593953b21fe85d6dbf615f165e569a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.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/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1199af8cf89cf2260e262b9f30d5a423.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01f56a22d95eab351e09da1afb8153bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08a58464a16629aa18aa99187cb0d398.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/25/0d0f2335-a771-4a79-8070-a9980cce7201.png?resizew=189)
您最近一年使用:0次
2020-09-05更新
|
452次组卷
|
2卷引用:天津市实验中学2019-2020学年高三上学期第二次阶段考试数学试题
名校
解题方法
10 . 如图,在等腰梯形
中,
,
,高为
,
为
的中点,
为折线段
上的动点,设
的最小值为
,若关于
的方程
有两不等实根,则实数
的取值范围是( )
![](https://img.xkw.com/dksih/QBM/2020/7/7/2500832930938880/2501433011273728/STEM/9d292ef0ee244bf38046d0c03659bbcc.png?resizew=227)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f8eeeea1c9652cacce976f8129cf520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b173ac8cc4ac4f1c9e1daaa605fbb27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e582c41a5b79f98708e4f139ec0936d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/408348e9619c19806feea53075b3e0bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f484115a9df1b6060d6b14df85c6f38.png)
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3卷引用:天津市南开区南开中学2019-2020学年高三下学期第五次月考数学试题
天津市南开区南开中学2019-2020学年高三下学期第五次月考数学试题江西省上高二中2020-2021学年高一下学期第四次月考数学(理)试题(已下线)专题17平面向量中最值、范围问题的求解策略解题模板