名校
解题方法
1 . 已知平行四边形
的面积为
,
,
为线段
的中点.则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7b3fc562990be3c6367bb9efd91c617.png)
_______ ;若
为线段
上的一点,且
,则
的最小值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/604d037b88148502a5608e0285c76f35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71e90f9f4e44173888a54c624852064a.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/a7b3fc562990be3c6367bb9efd91c617.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e284edfc390b322d0104817bd9aaa992.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8f8340f920decb68b1c4a1fa99488c8.png)
您最近一年使用:0次
2020-06-03更新
|
1419次组卷
|
6卷引用:2020届天津市和平区高考二模数学试题
名校
2 . 如图,在
中,
是
的中点,
在边
上,且
,
与
交于点
,若
,则
的值是
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/10/79f959ba-1293-473f-96d4-b46ad8703026.png?resizew=195)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49dd9761d854d1957f0aa2df4a119322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f50b3ae183997b707d16eb4e7f6712fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd6a62303bdedd233e151163a5d50752.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/107d05befef283faf65f06f37fa41901.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/10/79f959ba-1293-473f-96d4-b46ad8703026.png?resizew=195)
A.![]() | B.![]() | C.![]() | D.3 |
您最近一年使用:0次
2020-05-28更新
|
2085次组卷
|
8卷引用:数学-6月大数据精选模拟卷04(天津卷)(满分冲刺篇)
(已下线)数学-6月大数据精选模拟卷04(天津卷)(满分冲刺篇)2020届甘肃省高三第二次高考诊断考试数学(理科)试题(已下线)专题20 平面向量共线定理-学会解题之高三数学万能解题模板【2022版】(已下线)专题8 向量共线定理的应用湖北省宜昌市2020-2021学年高一下学期期末联考数学试题湖北省襄阳市、荆州市、荆门市、宜昌市等七市2020-2021学年高一下学期期末联考数学试题湖北省十堰市丹江口市第一中学2021-2022学年高一下学期期末数学模拟试题(4)安徽省芜湖市2021-2022学年高一下学期期中考试数学试卷
名校
解题方法
3 . 已知
是边长为2的等边三角形,
,
,且
与
相交于点
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c467a1b81cd28f9caf15414a3383399d.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbbf438660d3f1d1df13b7abb7db8c68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f30178c2bbc2a00561a15783c0b4c9b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c467a1b81cd28f9caf15414a3383399d.png)
您最近一年使用:0次
2020-05-28更新
|
513次组卷
|
3卷引用:2020届天津市河北区高考一模数学试题
名校
解题方法
4 . 在
中,
,
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b67dac5a96f62728b11b23d02cb89d8.png)
______ ;设
,且
,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b57fdd2a3642716fcf5100011eb3ec88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d1e7b1871a1e5d28447a9e8790bf83d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7898b4d9c545e488e9f8a90ab8f3cd72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0f4925d030beaf46c6a0d1d7799ac0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b67dac5a96f62728b11b23d02cb89d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2274dede955754329461411d5388ff45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efe002871234bea5b04f631b06cc41ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2020-05-27更新
|
2500次组卷
|
11卷引用:2020届天津市河西区高考一模数学试题
2020届天津市河西区高考一模数学试题(已下线)数学-6月大数据精选模拟卷05(天津卷)(满分冲刺篇)天津市第一中学2019-2020学年高一下学期期末数学试题(已下线)专题13 平面向量-2020年高考数学(理)母题题源解密(全国Ⅱ专版)(已下线)专题05 平面向量-2020年高考数学(文)母题题源解密(全国Ⅱ专版)(已下线)2021年高考数学押题预测卷(天津卷)03天津市北辰区华辰学校2021-2022学年高三上学期第二次月考数学试题天津市市区重点中学2022届高三下学期三模数学试题天津市静海区第一中学2021-2022学年高三上学期第三次阶段检测数学试题天津市第二十一中学2022-2023学年高一下学期期中数学试题北京市西城区外国语学校2021-2022学年高二上学期开学考试数学试题
名校
解题方法
5 . 在等腰梯形ABCD中,
,
,
,
.若M为线段BC的中点,E为线段CD上一点,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f79863ffcfa63117ca6741b20a48e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f945a69cf7e8213e50622125cde652f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54275b7e571660d0a9e0370fbfe5050b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e673ef2d48215ca84a48377f17d6df00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64ee010d196175b3392b94ef2e65848b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/693b73c700c50fe32664767169fdbeeb.png)
A.15 | B.10 | C.![]() | D.5 |
您最近一年使用:0次
2020-05-21更新
|
736次组卷
|
7卷引用:2020届天津市部分区高考一模数学试题
名校
解题方法
6 . 如图,在梯形
中,
且
,
为
的中点,
与
交于点
.若
,则
的余弦值为______ .
![](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/996db4351020717868a179ea6f7f2861.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/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efb24fc7e0eaa1a4788999aa1553aaa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/727ad3e630a224303d6d3b8ad5c114ba.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/15/d35b0382-d80e-42ec-afbb-2154d19ebcd4.png?resizew=181)
您最近一年使用:0次
2020-05-16更新
|
797次组卷
|
4卷引用:2020届江苏省南京师大附中、淮阴中学、姜堰中学、海门中学四校高三下学期4月联考数学试题
2020届江苏省南京师大附中、淮阴中学、姜堰中学、海门中学四校高三下学期4月联考数学试题(已下线)预测06 平面向量-【临门一脚】2020年高考数学三轮冲刺过关(江苏专用)天津市南开中学2022-2023学年高三上学期第二次月考数学试题天津市南开中学2023届高三上学期期中数学试题
名校
解题方法
7 . 在平行四边形
中,
,
分别是
的中点,
与
交于
,则
的值是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8849624abafd90bf2eaa37fc39f8d271.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/481e426224c3a3ce9bb5a731eed81c40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b3ca6419eecbb7afd184b3fb9dda97d.png)
您最近一年使用:0次
2020-05-11更新
|
303次组卷
|
2卷引用:天津市南开区南开中学2019-2020学年高三(下)第一次月考数学试题
2020·天津·一模
名校
8 . 在四边形
中,
,
,
,
,
为
的中点,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bd94d9dc7cdc2ce797ba8c171d3387f.png)
_____ ;设点
为线段
上的动点,则
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/305a88d4e0249bd16d48eda01331d2d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d27bd71d79cb19eb554175e4ef0867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55c24a968c73e960698a572ab01e3698.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/26b8dfda717877f5c1d44f3e3d860b15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bd94d9dc7cdc2ce797ba8c171d3387f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6983a471f24a61ef9ba49b814bf994c.png)
您最近一年使用:0次
2020-05-09更新
|
1726次组卷
|
17卷引用:2020届天津市河西区高三高考一模数学试题
(已下线)2020届天津市河西区高三高考一模数学试题天津市宝坻区大口屯高级中学2021届高考模拟数学试题天津市第一中学2021-2022学年高三上学期第一次月考数学试题天津市第三中学2021-2022学年高三上学期12月阶段性测试数学试题天津市第二中学2021-2022学年高三上学期统练(二)数学试题天津市新华中学2022-2023学年高三上学期12月第二次月考数学试题天津市第一百中学2022-2023学年高三上学期期末线上测试数学试题天津市海河中学2022-2023学年高三上学期期末数学试题天津市微山路中学2022-2023学年高三上学期期末数学试题天津市咸水沽第一中学2021届高三下学期高考模拟(一)数学试题天津市武清区黄花店中学2022-2023学年高三下学期开学测试数学试题天津市新华中学2023届高三下学期统练2数学试题天津市河西区天津市第四中学2024届高考模拟预测数学试题天津市西青区杨柳青第一中学2021-2022学年高二实验班下学期期末适应性测试数学试题天津市西青区杨柳青第一中学2022-2023学年高二下学期第三次适应性测试数学试题天津市河西区2023-2024学年高一下学期期中考试数学试题天津市静海区第一中学2023-2024学年高一下学期6月学业能力调研数学试题
名校
9 . 如图,在等腰
中,
,
,
与
,
分别是
,
的三等分点,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e33e8045277a342dbbaff481815bd532.png)
__________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d4995ec65d0748dfeedc9068e0a5f2c.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e4f0c1c9cca0555906d8a53e1a6803d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d25a68f1c4a651532123fe317a79da8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e33e8045277a342dbbaff481815bd532.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d4995ec65d0748dfeedc9068e0a5f2c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/1/8ff2ce09-e8af-482a-8fa4-3272b71416aa.png?resizew=110)
您最近一年使用:0次
2020-05-07更新
|
348次组卷
|
3卷引用:天津市和平区2019-2020学年度第二学期高三年级线上学习阶段性评估检测数学学科试题
名校
10 . 在
中,
,
,
,若
,则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbf0edea792798049cd728af69f74e19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70cc587dbef0d91446ee5f36384eaffb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2955ecbdf65de4d15e7836ebc7f89159.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/391f4e0686d9fd948404700f370e8b0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2020-04-24更新
|
2143次组卷
|
7卷引用:2020届山东省淄博市高三一模数学试题
2020届山东省淄博市高三一模数学试题(已下线)专题六 平面向量-2020山东模拟题分类汇编天津市和平区2021届高三下学期第三次质量调查数学试题天津市和平区部分校2021-2022学年高一下学期期末数学试题广西壮族自治区钦州市第四中学2023届高三上学期1月考试数学(理)试题(已下线)6.2.3 向量的数乘运算1-2022-2023学年高一数学《考点·题型·技巧》精讲与精练高分突破系列(人教A版2019必修第二册)湖南省邵阳市邵东市第一中学2022-2023学年高二下学期期中考试数学试题