组卷网>知识点选题>利用结论解决平面向量共线问题
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填空题 | 一般(0.65) | 2022·全国
4 . 如图,在△ABC中,点DE是线段BC上两个动点,且eqId851084b75924413d91eee8a31bdebae9,则eqId8eebe919013848869a2c3a45c9211df3的最小值为________
说明: figure
更新:2021/09/19组卷:209
5 . 对于△eqIda670baf5d73f4d7689915a00c51820f2,其外心为eqId2efda802d5534f6d92d9f8af7aaec28b,重心为eqId92869ac114124367b45f631d030ed6bd,垂心为eqId8846d653e4404636a88754285c8bcb32,则下列结论正确的是(   )
A.eqIda2d4907d918a48e2a49cd056ce3b3068
B.eqId07ac4e191b7c4095a4129df05b121d43
C.向量eqIdef3818e92dab41e1a4a76f5670952651eqId3f5b8e2b5e72492a8002017884b250f2共线
D.过点eqId92869ac114124367b45f631d030ed6bd的直线eqId417e80f1349244878d01fe90e0891f5f分别与eqId99a3187c2b8f4bcc9703c74c3b72f1f3eqIdcf2da96900c948a1b3ce7cbfd420c080交于eqId93cbffaa5ae045d6ac45d1e979991c3aeqId63db14a5b4334f3ea583c8fb12b0d175两点,若eqId5786b4096ca24cdab197ca995be67129eqId9f8f5c2e1e034984ad149d813d058fd8,则eqId87e7dff0dd1e41378ebe87f29ec92ca0
6 . 已知eqId64b9b599fdb6481e9f8d9a94c102300b所在平面内的一点P满足eqIdcc26f5abe6054f64b776ae26c10af3c1,则点P必在(   )
A.eqId64b9b599fdb6481e9f8d9a94c102300b的外部B.eqId64b9b599fdb6481e9f8d9a94c102300b的内部
C.直线ABD.线段AC
7 . 已知单位向量eqId673b4d5765014a41acc0e7ef4a8ed501的夹角为eqId1a06b2701ed24e619837f7dc479f5e9d,向量eqIdc448a7e8fc6244a8bff0f1d8bdb15af1
(1)若eqId2fabaf2ac696438aa5e0cf6be50c00d2,求eqId69f56ef2c88b4b73a560da59f5247a82的值;
(2)若eqId4b1b48427bb14225bd228876c3543e45,求向量eqIdbfdcb35337334952b6d7ceab2f7c8afd的夹角的余弦值.
10 . 如图所示,已知点GeqId64b9b599fdb6481e9f8d9a94c102300b的重心,过点G作直线分别与ABAC两边交于MN两点eqId97b1012da60749ed954f763a1d466addN与点C不重合eqIdbac0300fdb4b431ba95f49e113993dbb,设eqId9b7e74439b314d8a8408800b11580be3eqIdfbc3a440491b4b20bb91d29a8406973f,则eqId9e0b8b4b1d574197a14c0508a7733f4d的最小值为(   )
说明: figure
A.2B.eqIdaa636217281449809574f5fb60028f05
C.eqId6b2724baa0064c51b2ba39f5b281a1ebD.eqId0f2b0b74a4d148c0a6d21ec13ab43255