名校
解题方法
1 . 已知向量
,若B,C,D三点共线,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c9be28f7e92735d08ab24327e785c99.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a27327149dc89a844ae438861e896f6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c9be28f7e92735d08ab24327e785c99.png)
您最近一年使用:0次
2021-09-18更新
|
430次组卷
|
7卷引用:天津市第三中学2021-2022学年高三上学期10月阶段性检测数学试题
天津市第三中学2021-2022学年高三上学期10月阶段性检测数学试题2020届湖南省长郡中学高三下学期第二次适应性考试数学(理)试题2019届安徽省马鞍山二中高三下学期4月高考模拟理科数学试题(已下线)专题5.2 平面向量基本定理及坐标表示-2021年高考数学(理)一轮复习-题型全归纳与高效训练突破(已下线)专题5.2 平面向量基本定理及坐标表示-2021年高考数学(文)一轮复习-题型全归纳与高效训练突破(已下线)第23讲 平面向量的基本定理及坐标表示(练) - 2022年高考数学一轮复习讲练测(课标全国版)(已下线)考点2 平面向量基本定理及坐标表示 --2024届高考数学考点总动员【讲】
名校
解题方法
2 . 如图,在平行四边形
中,
,
,
分别为
,
的中点,
与
交于点
.已知
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96724b211bf3e56d588bd430aa3f2894.png)
________ ;若
,则
的余弦值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c4e4a162f12d12a082b8d8fdd1aeab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.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/6d73c990187d153fd9f43d5da8f6ec7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6ad237004d8e1f27e26a62ef885ee5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96724b211bf3e56d588bd430aa3f2894.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39822c44985cf18fb8a802e0cf8c01bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4189a0821a0ffab9dc171ecd279ba442.png)
![](https://img.xkw.com/dksih/QBM/2021/5/11/2718627252404224/2719709336813568/STEM/90b66d1d875c46ac94fee7d50ee69780.png?resizew=219)
您最近一年使用:0次
3 . 已知
为等边三角形,
,设点
满足
,其中
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3cb7825f9fe46daa545b3de22031d5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bd9736828195f010db4e1f0a9dea7a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed91d1348f89efa21c11c05de5c5bf85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
您最近一年使用:0次
2021-05-06更新
|
835次组卷
|
4卷引用:天津市咸水沽第一中学2020-2021学年高三上学期第二次月考数学试题
名校
4 . 平行四边形
中,
,
为
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/f855c80172c04310d342f82d960011ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebd77df02ee5da142f4161d737f4ba05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b64af28c24767dd9a64e49e5948c806.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f3af6f75cee73a485c49e63a8b642f7.png)
您最近一年使用:0次
名校
5 . 在
中,
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26a46e7879436d532af3f4b6e258a81.png)
______ ;若
,
,
,则
的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5b8b98b2f83279a49e94d9f48c5e6f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb5b12692517a39c320f99a479eb055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a19502b4fc234d660b901f8b9f6d9d89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26a46e7879436d532af3f4b6e258a81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c16ad533528914c256d9855d82931f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a04f1cdc015f38f5cee32ea29138e7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3be362dec96173f246ff747264007817.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5f651a0f32c32d43a5e629e6e3fd479.png)
您最近一年使用:0次
2021-04-03更新
|
2606次组卷
|
8卷引用:天津市静海区第六中学2021-2022学年高三上学期第三次月考数学试题
天津市静海区第六中学2021-2022学年高三上学期第三次月考数学试题天津市南仓中学2022-2023学年高三上学期第一次教学质量过程性监测与诊断数学试题天津市南开区2021届高三下学期一模数学试题天津市滨海新区塘沽第一中学2022届高三下学期4月统练数学试题天津市南开区翔宇学校2022-2023学年高三上学期期末数学试题天津市新华中学2023届高三下学期统练5数学试题(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)(已下线)第8章 平面向量(章节压轴题解题思路分析)-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)
6 . 在四边形
中,
,
,
,
,
,则实数
的值为_______ ,若
是线段
上的动点,且
,则
的最小值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/784d093b48df0ba4ae15ea1368fe85e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efc6e4b936d7a800e839a30c3839574d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07160f14b3b453bebb64cb2bf96dc85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/915076b13406b8a808eb270c00e7a194.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c47fc4f61c458e41230b1448876b121d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d3ba8a99fe9f446d0c7fcdff7535e2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b7c105b7a778d7e54c17c5b66457058.png)
您最近一年使用:0次
2021-03-31更新
|
455次组卷
|
3卷引用:天津市南开中学2022-2023学年高三上学期10月阶段性统一练习(一)数学试题
名校
解题方法
7 . 在平面四边形
中,
,
,
,
,
,
,若点M为边
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/1134c8e3440abb6cd385af2c169037fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e075468e7fb0bf30229aec01a7205977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b261d5c8b713e6a1d9daba6552395497.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c579ba7cc1d19fa82d6426c9c3294e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf37f03688dc4f3fb230c5ece01f56b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/941eba4dbc1094107e1eeb02c8d8cd56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac31b90d1b746ef0f669a9cb48e0ce15.png)
您最近一年使用:0次
2021-03-28更新
|
2910次组卷
|
6卷引用:天津市实验中学2021-2022学年高三上学期第三次月考数学试题
天津市实验中学2021-2022学年高三上学期第三次月考数学试题天津市十二区县重点学校2021届高三下学期毕业班联考(一)数学试题天津市河西区2022-2023学年高三上学期期末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(文)试题(已下线)“8+4+4”小题强化训练(26)平面向量的综合应用-2022届高考数学一轮复习(江苏等新高考地区专用)苏教版(2019) 必修第二册 过关斩将 第9章 9.3.2 向量坐标表示与运算
8 . 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)
您最近一年使用:0次
2021-03-24更新
|
1444次组卷
|
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)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)》(已下线)第8章 平面向量章节考点分类复习导学案
名校
9 . 已知平行四边形
的两条对角线相交于点
,
,
,
,其中点
在线段
上且满足
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/185061adb1814245b4b513739c55d37b.png)
______ ,若点
是线段
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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7b19819443514c14e3133a657941198.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8e62790b80d4dd6e19ef709088eec57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea4f5eec0addba78f2e0cdfb7ecc59a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be2e2c0d4ac2bd79f6cea7a9b1a50662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3459f40bcad3f91600a8ab0f9a3b1a5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/185061adb1814245b4b513739c55d37b.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/67ce4aa176b1dc89d49a7b05806b35ef.png)
您最近一年使用:0次
2021-01-20更新
|
2147次组卷
|
7卷引用:天津市南开区南开中学2024届高三上学期统练6数学试题
10 . 在平行四边形
中,
,
,点
在
上且满足
,
,若
为
的中点,且
,则
的长为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4aca5534bce25acaeb7379deed8f8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb8fb552b9e21dbaba74d11aa747790.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c9e5e20547e52ada1878a3c0d7f6669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b540e276f4f003a9a19bd5fe95d1b3fc.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/565fcb3f16db67fc2b6fafe63d682a47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
您最近一年使用:0次
2021-01-17更新
|
500次组卷
|
2卷引用:天津市武清区黄花店中学2024届高三上学期第二次练习数学试题