名校
解题方法
1 . 如图,在菱形
中,
,
分别是边
上的点,且
,
,连接
,交点为
.设
,
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/21/7336abe6-da22-4352-b0ba-3b1a93626b6d.png?resizew=147)
则(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/825116eb345f5505ebc8c1cdb8a1f131.png)
_____ ;
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4d41c6be049793f507f5cf7bd81736a.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f945a69cf7e8213e50622125cde652f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/374fe9986ebbc986fc422e514ab93a51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aae7d93ef90564a5ca9d9a79a74245f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1edf07a2e8006fc9446a1bac93f3324c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dacef6b500fbbea1dbc6a1b0acb43ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8279e2f4f69e2709bf8d87b485bd67b0.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/21/7336abe6-da22-4352-b0ba-3b1a93626b6d.png?resizew=147)
则(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/825116eb345f5505ebc8c1cdb8a1f131.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4d41c6be049793f507f5cf7bd81736a.png)
您最近一年使用:0次
2023-02-19更新
|
643次组卷
|
3卷引用:江苏省常州市前黄高级中学2022-2023学年高一下学期2月学情检测数学试题
名校
2 . 在边长为2的正三角形
中,D是
的中点,
,
交
于F.①若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edff1881635893293dd411ead8194aca.png)
___________ ;②![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bd74dcd4af772ba18307287cd404136.png)
___________ .
![](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/70cc587dbef0d91446ee5f36384eaffb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17f72a4233a447d9834da57ff8a6b09e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edff1881635893293dd411ead8194aca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bd74dcd4af772ba18307287cd404136.png)
您最近一年使用:0次
2021-05-11更新
|
1235次组卷
|
8卷引用:江苏省常州市前黄高级中学2021届高三下学期6月高考适应性考试(二)数学试题
江苏省常州市前黄高级中学2021届高三下学期6月高考适应性考试(二)数学试题辽宁省葫芦岛市2021届高三一模数学试题辽宁省名校2021届高三第一次联考数学试题(已下线)考向24 平面向量的基本定理及坐标表示(重点)-备战2022年高考数学一轮复习考点微专题(新高考地区专用)(已下线)第九章 平面向量(综合测试卷)-2021-2022学年高一数学10分钟课前预习练(苏教版2019必修第二册)(已下线)第05讲 平面向量基本定理-【帮课堂】2021-2022学年高一数学同步精品讲义(苏教版2019必修第二册)新疆乌鲁木齐市第七十中学2021-2022学年高一下学期期中考试数学试题(已下线)黄金卷03
3 . 如图,
所在平面内的两点
满足
.若
是线段
的两个三等分点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfd989ddfbed4a6aa18ea57734522153.png)
______ ;
若
是线段
上的动点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edff1881635893293dd411ead8194aca.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eefa2ba90543094609877b1f534a37b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfd989ddfbed4a6aa18ea57734522153.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7afd29ea205c6d18c468441688e8419c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edff1881635893293dd411ead8194aca.png)
您最近一年使用:0次
名校
解题方法
4 . 在
中,
,
,
,
,
,
,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b57fdd2a3642716fcf5100011eb3ec88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1682d306c38087d9e6f7efb9cec596a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d2dedb0fc7d1e206651241cab25615e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13c1b4b4c8fda01cb5ff00f52e0b269b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6dd82bb60b4a503e0f41db17d56b69e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ee4e718ef1e35c5716729bdd1a47073.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/24/e7499978-0e61-4c7d-bf29-4ca14357e619.png?resizew=259)
您最近一年使用:0次
2020-03-25更新
|
491次组卷
|
9卷引用:江苏省常州市华罗庚中学2021-2022学年高一下学期3月月考数学试题
江苏省常州市华罗庚中学2021-2022学年高一下学期3月月考数学试题2020届江苏省南通市海门中学高三上学期10月第一次教学质量检测数学试题江苏省扬州市邗江区蒋王中学2019-2020学年高三上学期10月学情检测数学试题第9章 平面向量 (A卷基础卷)-2020-2021学年高一数学必修第二册同步单元AB卷(新教材苏教版)湖北省黄冈市黄梅县黄梅国际育才高级中学2022-2023学年高一下学期3月月考数学试题河南省济源市第六中学2023-2024学年高一上学期9月月考数学试题河南省济源市第六中学2022-2023学年高一下学期5月考数学试题河南省济源市济源高级中学2022-2023学年高一下学期3月月考数学试题(已下线)第九章 平面向量(单元重点综合测试)-单元速记·巧练(苏教版2019必修第二册)
名校
5 . 在等腰梯形中,
,
,
,
,若
,
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/099a5abc3820d660430ce40ed3f5db7b.png)
__ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30e9e26d127b0208e61a0ffcd0f8f37b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abf435f85883d2db2430a5b7bf41dab8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5e91e7698e159cfe9d00a62912d9b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fe9e5f5abdacef3059b9e56c6dcdb59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/597fc0ad02fe71297a26c7bc6ee1b16b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccb4e527830cc7c15240220cbe4273e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51b1017d310b9d80a1ff91b19ed0995c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/099a5abc3820d660430ce40ed3f5db7b.png)
您最近一年使用:0次
2018-03-31更新
|
950次组卷
|
6卷引用:【区级联考】江苏省常州市武进区2019届高三上学期期中考试数学(理)试题
解题方法
6 . 如图,△
中,延长
到
,使
,当
点在线段
上移动时,若
,则
的最大值是_______ .
![](https://img.xkw.com/dksih/QBM/2015/4/20/1572076467544064/1572076473212928/STEM/adcc7f484ba44467b3582142953916eb.png?resizew=35)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1bd1adfe4cc6566218f19970c2fd3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78002bca853929365a3f58082f3e7637.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/bfa34c248278e824a8dacb824fe496cc.png)
![](https://img.xkw.com/dksih/QBM/2015/4/20/1572076467544064/1572076473212928/STEM/baaf1c6689e849989c59b7244245bb5d.png?resizew=63)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/26/c54fbce7-47d2-4acc-a4a7-d0b46b03c7c4.png?resizew=192)
您最近一年使用:0次
2016-12-03更新
|
1025次组卷
|
5卷引用:2015届江苏省常州市武进区高三上学期期中考试理科数学试卷
2015届江苏省常州市武进区高三上学期期中考试理科数学试卷人教A版(2019) 必修第二册 突围者 第六章 第二节 课时2向量的数乘运算(已下线)6.2.3 向量的数乘运算(分层练习)-2020-2021学年高一数学新教材配套练习(人教A版2019必修第二册)辽宁省营口市2022-2023学年高一上学期期末教学质量监测数学试题辽宁省营口市2022-2023学年高一下学期开学考试数学试题
名校
7 . 如图,正方形
中,
为
的中点,若
,则
的值为________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cb3f9a5da641be35117fd35ba07a6aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cdd9f345915ae742ed3dcd3f9678264.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a751c93c21512948a7414b6efafbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1113ccae1ec1a3fb67a02c34c6ba1937.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/10/db5069d1-701f-4281-a570-80e06bd98a11.png?resizew=130)
您最近一年使用:0次
2017-10-13更新
|
841次组卷
|
5卷引用:江苏省常州北郊华罗庚江阴高中三校2018届高三联考数学(文)试题
8 . 已知数列
中,
,点列
在
内部,且
与
的面积比为
,若对
都存在数列
满足
,则
的值为______ .
![](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/f6136317c8df5fc1cf4afbf4ff8274d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78a2c31317098e295af73389899b66c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4f29ce901cddf517a843118f9e71472.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbe103f073845122c66f22dcb14b711f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e145b6046bc80d0ffecc61ac67c87ca1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36d4281e25475e2737cd1f3480bc163f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
您最近一年使用:0次
9 . 在
中,
,
,
,
为
内一点(含边界),若满足
,则
的取值范围为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f08273d339dc5ddbb89aa67bb8205e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f186ea827f7becafd1ac4955e22c6812.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f8eeeea1c9652cacce976f8129cf520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f80f77b3d4f7697217c472ac273ae555.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d56c21c07d6bb8b200cd82bca802642a.png)
您最近一年使用:0次
10 . 扇形
中,弦
为劣弧
上的动点,
与
交于点
,则
的最小值是_____________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/571f8dfb1eb003438f27bab2324140ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d69f81a8e5731509c6f6f5b99525890e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d65cecaf8a3dc2953f4109c75a981e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6967ebd791092c62b4ef97924d91883.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6337390a597688ce91e635b43889fed.png)
您最近一年使用:0次