名校
1 . 如图,
为
内一点,且
,延长
交
于点
,若
,则实数
的值为_______ .
![](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/56522166ed4c6cbb47750ac7bd5e7626.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76bbfdd1c9a3cee4c840122ec93027a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/8/36e0343c-19d5-4a70-9ebc-6e2de7cba2ed.png?resizew=130)
您最近一年使用:0次
2019-08-23更新
|
2176次组卷
|
3卷引用:山东省济宁市嘉祥县第一中学2019-2020学年高一6月月考数学试题
山东省济宁市嘉祥县第一中学2019-2020学年高一6月月考数学试题上海市曹杨二中2018-2019学年高一下期末数学试题(已下线)上海期末真题精选50题(小题提升版)-2020-2021学年高一数学下册期中期末考试高分直通车(沪教版2020必修第二册)
名校
解题方法
2 . 如图所示,在
中,
,
,AD与BC相交于点M.设
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/21/fbc66efa-91ed-4706-a2e6-8094e845d6ef.png?resizew=194)
(1)试用向量
,
表示
;
(2)在线段AC上取点E,在线段BD上取点F,使EF过点M.设
,
,其中
.当EF与AD重合时,
,
,此时
;当EF与BC重合时,
,
,此时
;能否由此得出一般结论:不论E,F在线段AC,BD上如何变动,等式
恒成立,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2b83beedb3438153e6f728545fe3e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/325099c8a286bc22e67321ce3af5b49b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef86ffd2bf72dcfb82b82f839a35e452.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91a9cb32a25c2a8bb99f75633b4cd5ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/049131856ba841523793ee3d83099014.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/21/fbc66efa-91ed-4706-a2e6-8094e845d6ef.png?resizew=194)
(1)试用向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b6799b234237333b0efa331d98f0374.png)
(2)在线段AC上取点E,在线段BD上取点F,使EF过点M.设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9795568e7c599718a29bc80cc3405233.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f4fdd03782afd69e06cdd75fb050b89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8a900d0b93f73490e7efc2e444bb016.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/500d68f2678989a5ce7431cfd51b019d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76819195cffab10d81638dd673f3af98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2aec178e9393c6d42787506af6bf8d11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1c3ea872a20fdc1843cb5ffce8a554.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2753dc1c83d54044b89e628a7eb247f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4989ac1657338153cb81915fe6090bc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4989ac1657338153cb81915fe6090bc1.png)
您最近一年使用:0次
2020-04-17更新
|
1193次组卷
|
4卷引用:山东省潍坊市2019-2020学年高一4月阶段考试数学试题
名校
解题方法
3 . 在
中,
,
,
,O为
所在平面内一点,并且满足
,记
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e3262fc038bbec5e7c8cc47df08bef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efc6e4b936d7a800e839a30c3839574d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb5b12692517a39c320f99a479eb055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee7d9f95385876b8ea36f53bd0b1d51d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/966e7702df020edd428a0ac18ae544b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f2b9791632582c3acc051121f45bab6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d16552d5603f296554a9690d55c2d11.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2020-07-04更新
|
1050次组卷
|
4卷引用:山东省泰安市2021-2022学年高一下学期期末考试数学试题
名校
4 . 已知两个非零向量
不共线,
.
(1)证明:
三点共线;
(2)试确定实数
,使
与
共线.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d184ae171c511d3ab7eebb7dbb4eae4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66f773b5ebfaf2c5c6624a323f7e4a99.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1378530dfec264f4bf99a179826dc957.png)
(2)试确定实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ea1f268299d57e5362182760a5961af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f200069e313c5863a4efab246fd347a.png)
您最近一年使用:0次
2019-10-09更新
|
947次组卷
|
3卷引用:山东省滨州市邹平市第一中学2022-2023学年高一下学期期中数学试题
解题方法
5 . 已知四点
.
(1)若向量
与
共线,求
的值;
(2)设向量
,若
与
垂直,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe041ec5efe1f98d8270a588ccc3d8aa.png)
(1)若向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9795e7f5cb9b366776c41d8f3f43942.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3ed9c2e9fabbfc63733bae8fa079d00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(2)设向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c646fee2d5fc459a955760c2eb303f60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80467aade72042974b1b2d1dbe5b3968.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f1c1dd6b13d92f2cc2eef097e14c07c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
12-13高一上·江苏南通·期末
6 . .已知平行四边形ABCD中,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e077944613f71ee00a0c3e68a299bc7a.png)
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e7a68a3204c1a8d8d2b73536bd92210.png)
, M为AB中点,N为BD靠近B的三等分点.
(1)用基底
,
表示向量
,
;
(2)求证:M、N、C三点共线.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e077944613f71ee00a0c3e68a299bc7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a92e6eba8dab638fd66831cd3a0b6d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e7a68a3204c1a8d8d2b73536bd92210.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/427fa45527d0ce469bfd060bf6f991f3.png)
(1)用基底
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a92e6eba8dab638fd66831cd3a0b6d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/427fa45527d0ce469bfd060bf6f991f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e783889356399be393c4ba9df940d10a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb5f1bfc87664af732555b7924b6d7a2.png)
(2)求证:M、N、C三点共线.
![](https://img.xkw.com/dksih/QBM/2012/2/1/1570708370145280/1570708375502848/STEM/d345005a-7665-4fb2-ae17-ab9cd60bd836.png?resizew=304)
您最近一年使用:0次
2016-12-01更新
|
960次组卷
|
4卷引用:山东省郯城第一中学2021-2022学年高一下学期4月质量检测数学试题
山东省郯城第一中学2021-2022学年高一下学期4月质量检测数学试题(已下线)2011-2012学年江苏省南通市小海中学高一第一学期期末考试数学山西省潞城区第一中学校2020-2021学年高一下学期第一次月考数学试题浙江省台州市玉环市玉城中学2021-2022学年高一上学期第一次月考数学试题