组卷网>知识点选题>坐标法求平面向量夹角
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解答题 | 较易(0.85) | 2021·北京市第五中学高一期中
1 . 已知平面向量eqIda7dd1d0961a046bea01dfc3ca3c5e20e,且eqId6418a825b74a48c5845b74301f58f2eb
(1)求eqId33ded5c68d934662866c0dea7f1242d8的最小值;
(2)若eqId4af4b5dd7691482190be162db2ff6145,求eqIde63d4f8f7df243dea5600ed3c7e1910aeqId04dfc74a6aa340578512f1c4ea3c68fb的夹角.
2 . 设向量eqId4780e74841664e76abcb1160cad90a89,则eqIdbfdcb35337334952b6d7ceab2f7c8afd的夹角等于________
单选题 | 一般(0.65) | 2021·北京师大附中高一期末
3 . 如图,函数eqId681dc3242f264aa2addda9b5ed126b9e在一个周期内的图象与eqId072d7d6b911b42bc89207e72515ebf5f轴交于点eqId787fec3796eb4e9983c24c49d247da44.eqIdbedf755e0fdb4d078d6859360706b163是其图象上的最高点,eqId6db1fe61ffdc462bb30a508a7b9eeeaa是其图象与eqIda9cd3f94eb8045438f75e9daccfa7200轴的交点,则eqIdcb0d331877964664b47656ba6bcf56b5eqIde3c2c1fb5cad45b1863b7f272f2bb0be的夹角的余弦值为(   )
说明: figure
A.0B.eqId504c5a668aa9454aa65dea0ec7cf7378C.eqId8dce69c561f442e39f3d8cd1eca9ad10D.1
4 . 已知向量eqIdbcd58995d3914a65b0110183c41d9693eqIded7adad63ed340b4b3a9320f82d31d16
(1)求eqIdbf80e33f8af0497793eeb1eb2a0e416eeqId26d0383ebc3f44c2984e80b88390a5f5的夹角;
(2)求eqIdc682fc537cef448eacc41a817aeac7d6
(3)若eqId99f90e9666884d9e86bf77645dceccb6,求实数eqId4d2187284c5d4de29906363f7d21f60f的值.
5 . 在eqId64b9b599fdb6481e9f8d9a94c102300b中,eqId115c445a9ad84f15bc3c0dfa8c31f5e6eqId72fe3587d8244374a2b6a0904fb8d261eqId7ce6970a75ad486fa9561dcc60389416,点eqId0cd8063abf2b458f80091bc51b75a904为线段eqId99a3187c2b8f4bcc9703c74c3b72f1f3上靠近eqId052844cae8574a8ab842c38a039baac0点的三等分点,eqId93cbffaa5ae045d6ac45d1e979991c3aeqId34c6b6e427744abfb88dc90b8c7c2111的中点,则下列结论正确的是(   )
A.eqIdab66e25accd24a7eace093f69cac667cB.eqId82958d3df34f441ab10d664f4f57a757eqIde98fe464078345da82297489367e3b98的夹角的余弦值为eqId8dce69c561f442e39f3d8cd1eca9ad10
C.eqId28b4ddd8e0c941b38e1bbf5ec66cc4a4D.eqId17750aed7589459a819c8872756487d6的面积为eqIdc052ddfbd4524f67a79e0e77c2e5656a
6 . 已知向量eqId304e23fa04da41039d164ec686baaad1.
(1)若eqId08a4111903ec46eb9db320be6e0a5fd3eqId4fbe1127c248458aabc3f9476407fc80共线,求实数eqIda4be99d332154d13a4a6ed1ff6444fe7的值;
(2)若eqId811be6e5183d4ded89e8156f0c92ad7beqIdf087b35a5011425daaafbf14a5e61064垂直,求eqIdf087b35a5011425daaafbf14a5e61064eqId5f16eb46594d47b58ffc973b5cc2dd0d的夹角.
单选题 | 较易(0.85) | 2021·北京四中高一期中
7 . 已知向量eqId38fc720f47214180a31c4dd243b1c808,向量eqId68abc1a34bdf4f74a827b94a30215381,则向量eqIdf087b35a5011425daaafbf14a5e61064与向量eqId5f16eb46594d47b58ffc973b5cc2dd0d的夹角为(   )
A.eqId1a06b2701ed24e619837f7dc479f5e9dB.eqId5ad58f952a4542f689f5ee8aa9946f25C.eqId71dab503f7b140f0a2bdd598d1f21f8eD.eqId737f592b68b747fcaccedaedb026b348
8 . 已知向量eqId78af3898e852415e947f4c24f89a3081eqIdadc82ab68eba4e5bb3d282d4acbf8820.
(1)求eqIdd402f4a654764aa28c6cc01d3ff15600;    
(2)求向量eqId06aca259a7e64f0a8c5208d1bdf5c83deqIdf087b35a5011425daaafbf14a5e61064的夹角.
9 . 已知点eqId73739bd7cd844d1bbdcf4b8afc54a6abeqId1bc6a7035a14433e88e51e3f675fd17ceqId2751afb156064b96b39876a4af33ab52
(1)求以线段eqId99a3187c2b8f4bcc9703c74c3b72f1f3eqIdcf2da96900c948a1b3ce7cbfd420c080为邻边的平行四边形两条对角线的长;
(2)求eqId64b9b599fdb6481e9f8d9a94c102300b的面积.
单选题 | 较易(0.85) | 2021·北京市八一中学高一期末
10 . 已知点eqId9591959936644a43906fb09d60bd4d27,则eqId171bb65907c64f0d9362a0311604be9d(   )
A.eqId232536b8bbed4f619f81f098fe3ebb9cB.eqIdfcc58431683b452ca65d1d9977a280bdC.eqId49b7b111d23b44a9990c2312dc3b7ed9D.eqIde4d58f42bad9461b93d451da718fc6f4
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