组卷网>知识点选题>利用基底法解决平面向量基本定理问题
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1 . 已知四边形ABCD满足eqId61d7cde3ca904399b4b0ed99c47521c6,点M满足eqId8b47bac040424b91bb7d863cc6db6090,若eqIdd23594f5d1194d7ba32e8de94f34a440,则x+y= (   )
A.3B.eqId52ef9cda12e5410dafc3bfcf1840555bC.2D.eqIdfcc58431683b452ca65d1d9977a280bd
2 . 在平行四边形eqId5ce7a06ae7a34393b92b5277978ac014中,eqId93cbffaa5ae045d6ac45d1e979991c3aeqId63db14a5b4334f3ea583c8fb12b0d175eqId92869ac114124367b45f631d030ed6bd分别为边eqId0627be51821d4be7b3e024a354815d64eqId34c6b6e427744abfb88dc90b8c7c2111eqId890174c35d994035b942963f9fddd43b的中点,eqId8754ce8cf7f34f04abb9a0c041f57f5ceqId2381423d4cd146cab95f55527681a766eqId92869ac114124367b45f631d030ed6bd三点共线.若eqId7b926a6d15954dac8696d19d1f589e5e,则实数eqId70a27b6ddf6b478285353abb3b1f3741的值为______.
3 . 在eqId64b9b599fdb6481e9f8d9a94c102300b中,eqId0cd8063abf2b458f80091bc51b75a904eqId99a3187c2b8f4bcc9703c74c3b72f1f3的中点,则eqId9a089ad8d4e84dfbaa12c5ff49e11654(   )
A.eqIda5b6cdb6dafb419794535dde725322fcB.eqId73052d84d64343e5befd0a0190de502d
C.eqIdfc4791c80ec2483b8628243e5495590dD.eqIddbfaf46290ae4f509f5ca435c11adb4d
5 . 已知梯形eqId5ce7a06ae7a34393b92b5277978ac014中,eqId588db7aaf8e34ddc82aa8ca1e4b643c7eqIdfa78fd63136c4cf4a40e23b53cb0d155eqId93cbffaa5ae045d6ac45d1e979991c3aeqId0627be51821d4be7b3e024a354815d64的中点,eqId63db14a5b4334f3ea583c8fb12b0d175eqId1b51efe7c2fa42748ac5a6be262e2fa4eqId7111d4972b7c401c903ff4927c13b5ec的交点,eqId2aac22771a9d4fbfb5fabaf98945e630,则eqIdfc225095d4754cbdb84fdf5411a0d728________;若eqId861830ac839c45c8be1711197dedfe6eeqId3ed794cbe3c4438a80ab777a49ec3935eqIde9b52ac494bb483ea9ff2f3bce5e624e,则eqId12d248e3452244d290801486d07f59cc的余弦值为________
6 . 设DeqId64b9b599fdb6481e9f8d9a94c102300bBC边上的一点,已知eqIdfed2abc6fb134f70bc046e0dd854cd66.若eqIddba030d3da694e238ddcc830b6a3685e,则eqIdda6aee8f63084ab6835bdc3c6e6daad1___________eqIdbe5f3b3f0781455680e18c74f51be0b5___________.
7 . 在三角形eqIda670baf5d73f4d7689915a00c51820f2中,已知eqId0cd8063abf2b458f80091bc51b75a904eqId0627be51821d4be7b3e024a354815d64的中点,eqId92869ac114124367b45f631d030ed6bd是三角形eqIda670baf5d73f4d7689915a00c51820f2的重心.设向量eqId1d640016d6e44cd48b702d98e172a3cceqId297e758b27a442f5a48ceb8626423133,则向量eqIdbcb2dbdffceb4c9293a6d90175bfeb07_______________________(结果用eqIdf087b35a5011425daaafbf14a5e61064eqId5f16eb46594d47b58ffc973b5cc2dd0d表示).
8 . 在eqId64b9b599fdb6481e9f8d9a94c102300b中,eqId747c0c7a49f4411ab20a17fef4513969eqIdd02b3cd7d26a4ef49bdc177dabbabb1eeqIde5b08924f25848d48f5d3966aa89345e平分eqId0118074e429d44a3817a49b7094c84b9eqId0627be51821d4be7b3e024a354815d64于点eqIdf8ef9ec340b848fc8802eec4cf1a8b89,若eqId46fc614246a5422fb9a093e99348e3e1,则eqId78f93339623546d9936f700b61ff1adb(   )
A.eqId135af80a94b44df3a0e99896abd944caB.eqId0ce2cd9751954d7baef2071a85f25931C.eqId5f51ce9cc7fe4412baeb871cceb26665D.eqId5b7fb20e420642068fbd5be267156d14
9 . 在eqId64b9b599fdb6481e9f8d9a94c102300b中,eqIdb60bb1649c8b41cb935771acc097167eeqId513b964714c8461baad486d3ad4ead9ceqId2807fcad45ad4b3b8490dba6af5d22e6eqId8a76bbe21fb549e3a9c2038d58c7a3d8eqId0627be51821d4be7b3e024a354815d64边上的高,eqId2efda802d5534f6d92d9f8af7aaec28beqId8a76bbe21fb549e3a9c2038d58c7a3d8的中点,若eqId090fac63a5d441fdac98fe6cb4a058da,其中eqId5f420ef2d0b94c4b8a5d8e20a5d1ce2ceqId5dc93a962c7a4877bed0a5f0ff041d02,则eqIdffd8b0491756462bae0d1024726a6fe5等于___________.
10 . 在eqId805e5cd823ed42589e994b37883e1aab中,点eqId517584fed25c413ba8b7bb33ffa2d5c6为对角线eqIdcf2da96900c948a1b3ce7cbfd420c080上靠近eqId052844cae8574a8ab842c38a039baac0点的三等分点,连结eqIdfdeb587a4d8c47e587bd5e51907509c6并延长交eqId8a76bbe21fb549e3a9c2038d58c7a3d8eqId2381423d4cd146cab95f55527681a766,则eqId74a105416db74ad98abc382b80e4ea84(   )
A.eqId8bf6052e8565490f80be0b9f5d83b354B.eqIdf762db3947594761836f167367cc4ecf
C.eqIddf4354cbe3fa4f68895881fbf658c119D.eqIdd66e1ea00d7541afa2cb37313dcfdec9
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