名校
解题方法
1 . 在
中,已知
,
,
与
交于点O.若![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc51f6e91cfe02d4ceff7ba933384141.png)
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edff1881635893293dd411ead8194aca.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff400c098ae6bf6abd24651a5a21114e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d133bcf2a8104ed6abb51e51e0670f68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc51f6e91cfe02d4ceff7ba933384141.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4f40795a89d5bb7a183fc3afe2e7dbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edff1881635893293dd411ead8194aca.png)
您最近一年使用:0次
2023-03-22更新
|
1596次组卷
|
3卷引用:江苏省苏州市苏州高新区一中2022-2023学年高一下学期5月月考数学试题
江苏省苏州市苏州高新区一中2022-2023学年高一下学期5月月考数学试题江苏省苏锡常镇四市2023届高三下学期3月教学情况调研(一)数学试题(已下线)江苏省苏锡常镇四市2023届高三下学期3月教学情况调研(一)数学试题变式题11-16
名校
2 . 给出下列命题:
①若
,则
;
②若
,则
;
③若非零向量
、
满足
,则
;
④已知非零向量
、
、
,若
,则
.
⑤设
,
是不共线向量,
与
共线,则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bef6d3dd89c1f9696320616f569d1d63.png)
其中真命题的序号是_________ .
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fa1a7682227584fea2fd73b919c432a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c16dcfcaea5e7804d619d93ec50b99.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aff8d9b6533ff319420cdc5e8740b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05c14117c881f1d726e74cf91a20b161.png)
③若非零向量
![](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/9b8592f75159a8d7083ff67e78cafbd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1403d12bcee0eb28218632efff51402c.png)
④已知非零向量
![](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/73a0b19e69be46452425916a0fcb49c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39859037ee8a2a5e1ffe09ea8dfcc1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d4e575dd0078e69702db112c1798831.png)
⑤设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0411792b587ddd3e04440392f011c224.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b95d660852c5226ff65a21cfb36b8b39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f4dbb74d72bed3fd4c85315490e9b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a75d6886724cfe164028aa4d151aa98f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bef6d3dd89c1f9696320616f569d1d63.png)
其中真命题的序号是
您最近一年使用:0次
2023-03-19更新
|
234次组卷
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2卷引用:宁夏六盘山高级中学2022-2023学年高一下学期第一次月考数学试题(乙卷)
名校
解题方法
3 . 已知
,
为非零不共线向量,向量
与
共线,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.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/3d8e59f4a7da2e16c05f8cf572f114e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1df1461194fabe4da930ec6f07a19ea9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
您最近一年使用:0次
2023-03-18更新
|
1155次组卷
|
5卷引用:江苏省徐州市沛县2022-2023学年高一下学期第一次学情调研数学试题
名校
解题方法
4 . 已知四边形ABCD,
为边BC边上一点,连接
交BD于
,点
满足
,其中
是首项为1的正项数列,
,则
的前n项![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7978d7bd6f6caf9ac9837ffce5f89654.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8afeb8186b086048780bc0ed828fb534.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acd7a30b45915f624fc0b658537d97c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/436761021d45e52795bce14caf372d7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a78b3c84e7818ed70018eea40c72665.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd5d42a4f61ed0ed58e63d15c9445d88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bd786c52f9bd6e82d069cc319992cef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c80a89109f332a04f12dcc41e010e7cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7978d7bd6f6caf9ac9837ffce5f89654.png)
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2023-08-05更新
|
835次组卷
|
5卷引用:辽宁省沈阳市新民市高级中学2023-2024学年高三上学期10月月考数学试题
辽宁省沈阳市新民市高级中学2023-2024学年高三上学期10月月考数学试题山东省青岛市即墨区2023届高三上学期期中数学试题(已下线)专题4-2向量四心及补充定理综合归类-1江苏省常州市第一中学2024届高三下学期期初检测数学试题(已下线)【练】 专题三 平面向量与其他知识的交汇问题(压轴大全)
名校
5 . 焦点在
轴上的椭圆
(
), 点
是椭圆的左、右焦点,点
是椭圆上的点,
的内切圆的圆心为
,若
,过原点的直线交椭圆
于
两点,则
的值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724ecabe387a6d12dd1a7275170be503.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d776753746914c2410a3946c357f35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49f86f1584da7a2d66494d237c808172.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62384d7138f316962e199c6c9268b1b7.png)
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2023-03-10更新
|
606次组卷
|
2卷引用:重庆市第八中学校2023届高三下学期高考适应性月考(五)数学试题
名校
解题方法
6 . 在
中,已知
是斜边
上一动点,点
满足
,若
,若点
在边
所在的直线上,则
的值为__________ ;
的最大值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/feaa359719120c9e915a03d0cf186ee2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce3d196cfee8345bd28a2f3814b676f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/038e40daef4ef5efcc84377f16fb310f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd1f0ace9ca0b79929e73af6c201c2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd1f0ace9ca0b79929e73af6c201c2e.png)
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2023-03-09更新
|
1416次组卷
|
4卷引用:江苏省宿迁市第一中学2022-2023学年高一下学期3月阶段模拟数学试题
江苏省宿迁市第一中学2022-2023学年高一下学期3月阶段模拟数学试题天津市南开中学2024届高三第四次月检测数学试卷天津市五所重点校2023届高三一模数学试题(已下线)重难专攻(六) 平面向量的最值问题 讲
名校
7 . 设
是不共线向量,
与
共线,则实数
为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56a1aefdbfd20098493eb695af0ab0b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8f28fcce504ab7e2d990caa3b122bdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ee79dc1f16d06b1acf10d97920da04a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
名校
解题方法
8 . 正三棱锥
的高为
为
中点,过
作与棱
平行的平面,将三棱锥分为上下两部分,设上、下两部分的体积分别为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/625dbbd5d5f2617b7c53acdb936b1d07.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42b4ceceaa6bf4b3149aaf3a09e8d558.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef49a3ca580a144cc65a609c167facc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b7f93de30f3004498fdb0d9957abc88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/625dbbd5d5f2617b7c53acdb936b1d07.png)
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2023-02-22更新
|
1387次组卷
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5卷引用:广东省番禺中学2022-2023学年高二下学期3月月考数学试题
名校
9 . 设
,
是非零向量,则
是
成立的________ 条件.
![](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/460e5ba67828c57daf2edb497fb52e56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1414e75d8421f6acc3fa39bbb31ff45.png)
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2023-01-06更新
|
1100次组卷
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3卷引用:辽宁省朝阳市建平县实验中学2022-2023学年高一下学期3月月考数学试题
名校
解题方法
10 . 已知向量
,
不共线,如果
,
,
,则共线的三个点是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48bd8a052e56b53a66497b4b55a968a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc155e36276a2226c40a1f4ef7a0f41a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dc9db09ceb78d8e79bfda7916548ed9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b65b86ed432a65e5d79bee3d1f7091f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b804b56ad7be995a40b2ff590018a6b.png)
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2024-02-18更新
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5卷引用:山东省临沂第一中学2021-2022学年高一下学期第一次教学检测(线上)数学试题
山东省临沂第一中学2021-2022学年高一下学期第一次教学检测(线上)数学试题吉林省吉林地区普通高中友好学校联合体第三十届基础年段2019-2020学年高一下学期期末联考数学试题(已下线)6.2.3向量的数乘运算【第一课】“上好三节课,做好三套题“高中数学素养晋级之路(已下线)第六章 本章综合--考点强化训练【第一练】“上好三节课,做好三套题“高中数学素养晋级之路(已下线)2.3 从速度的倍数到向量的数乘6种常见考法归类-【帮课堂】(北师大版2019必修第二册)