组卷网>知识点选题>利用定义法求平面向量数量积
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1 . 已知向量eqId3d906e5d3e694363af29a999ce4871a6eqIdb8affe1d7571428283ab57a95ed2a84a满足eqIdd10bfe90e0db41768bfa3d0737d17cadeqId2ecc54be9b5d4857860d2533f2e8ce6d,若存在单位向量eqIde909f230cf3040cbb5bd5e88e7a3032e,使得eqId7449a043f959481cad2643c1eccc3047,则eqIdf10f8f1c087a4bce952a9614d5b79cc6的最小值为_________.
单选题 | 一般(0.65) | 2021·浙江高一期末
2 . 在eqId64b9b599fdb6481e9f8d9a94c102300b中,eqId1ebf267bd2da464b8a2d87057be8f9a8,则eqIde18f991d79e7472b957e25c553f07514(   )
A.5∶3∶4B.5∶4∶3C.eqIdf91af69f89e245f2be36469882c28318D.eqId8eed44eeeb2b4ba9bd159534b3f2b86b
更新:2021/06/14组卷:0
双空题 | 一般(0.65) | 2021·浙江高二期末
3 . 已知两个单位向量eqIdf087b35a5011425daaafbf14a5e61064eqId5f16eb46594d47b58ffc973b5cc2dd0d的夹角为eqId71dab503f7b140f0a2bdd598d1f21f8eeqIdb73171c4534049daa6dc7f8abf9fc707,若向量eqIdfe72fe3d77e34f6e89f18aeb25a9a009eqIdf087b35a5011425daaafbf14a5e61064eqId5f16eb46594d47b58ffc973b5cc2dd0d的夹角均为锐角,则eqId6eace85d70bf40d9a73e67fe8906e504_________eqId4a33b9deafd040939ba78368441d7a56的取值范围为_________
更新:2021/06/13组卷:0
4 . 已知直角梯形eqId5ce7a06ae7a34393b92b5277978ac014中,eqId8e9f8e4293be4b78a0af08faee1746e6E是线段eqId8a76bbe21fb549e3a9c2038d58c7a3d8上靠近A的三等分点,F是线段eqId217b31a637024d738602e1fae687b78d的中点,若eqIdbe1938fa020248698a5ed4e809883552,则eqIdd6c90cd695234d788cb7e12bef43aaac________;若eqIdde0ee1f3b5e04f9ea744fc2f8fd2f112,则eqId3c92a38ac4674ca3ad415c733988cfea_____
5 . 在四边形ABCD中,点EF分别是ADBC的中点,设eqId8d81d3939a2f4e2db035e9a82c557a22eqIddfc6ed4cd1cd40bf965b9ef3b3c56405,若eqId348bf2c3045d49f797736d5858af3ce8eqId298ed72d15fc4335ba1231e539617d48eqId6c3f693c1866435cb2f280574e05b423,则xy的最小值为_________
填空题 | 较易(0.85) | 2021·上海高一专题练习
6 . 已知AB是圆心为C,半径为eqIdcd9b24a6a6e5426ab775be20461174e3的圆上的两点,且eqId25a2f6fbbad847a8927f044f5366ba6f,则eqId76714e3170934f2fa2922f6ea0ee6863________.
更新:2021/06/13组卷:0
7 . 在四边形eqId5ce7a06ae7a34393b92b5277978ac014中,eqIdc1f6247143e74ee5a542daba2b5ee45feqIdb60bb1649c8b41cb935771acc097167eeqIdf604061f60ea4f2f82c12c41d31895a9eqId1d9f9afa648749bc8cce911516fe859c,点eqId93cbffaa5ae045d6ac45d1e979991c3a在线段eqIdc63956e281b34ac485f48835c17756b3的延长线上,且eqId0033e852498d4b49b73f874ee6ad0aa8,则eqIdcc81385f94b1452285e951f409275e2d_____________
填空题 | 较易(0.85) | 2021·海南高三其他模拟
8 . 已知向量eqIdf087b35a5011425daaafbf14a5e61064eqId5f16eb46594d47b58ffc973b5cc2dd0d的夹角为eqId62e24b0e15744029a67505f18ae7806d,且eqId1aafb7553a5447beb388a4c8f5128db4eqId58bf8eee966243fd925a8d89db0da593,则eqId8c40a7b641444b94985a37920f521205___________.
10 . 在边长为2的等边eqId64b9b599fdb6481e9f8d9a94c102300b中,eqId0cd8063abf2b458f80091bc51b75a904eqId0627be51821d4be7b3e024a354815d64的中点,eqId93cbffaa5ae045d6ac45d1e979991c3aeqId63db14a5b4334f3ea583c8fb12b0d175是线段eqIdcf2da96900c948a1b3ce7cbfd420c080的三等分点,则eqId6df4e685bd0548fbab74946319dc40dc=______
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