组卷网>知识点选题>利用几何性质解决线性运算问题
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| 共计 197 道试题
1 . 下列关于平面向量的说法中不正确的是(   )
A.eqIdff7d526227554493999dcf3fa71f9348eqIdfd3ce42f2fab4096b07132aec3bf3d96,若eqIda809e219d05f4203a43cc90e8f4b2c44,则eqIdbf80e33f8af0497793eeb1eb2a0e416eeqId26d0383ebc3f44c2984e80b88390a5f5的夹角为钝角
B.若平面上四个点eqIdbedf755e0fdb4d078d6859360706b163eqId052844cae8574a8ab842c38a039baac0eqId8754ce8cf7f34f04abb9a0c041f57f5ceqId19a4eb16029e4550a14f2afe4741a3c3满足eqId2f4f36873ad74fbab41b2ac6e5b057ee,则eqId052844cae8574a8ab842c38a039baac0eqId8754ce8cf7f34f04abb9a0c041f57f5ceqId19a4eb16029e4550a14f2afe4741a3c3三点共线.
C.向量eqId9de23244a64b4341b79973016425b50beqId052094b40f0a483692c0909be3f41c73不能作为平面内所有向量的一组基底
D.若eqId6a205e53da5f4a7eb951058c55656dc8eqId271707e04b894289aa6ed1fab563600f,则eqIdc5bd0e36595249f68557f0ad788be904
单选题 | 较易(0.85) | 2021·湖南高一月考
2 . 在eqId64b9b599fdb6481e9f8d9a94c102300b中,点eqId93cbffaa5ae045d6ac45d1e979991c3aeqId63db14a5b4334f3ea583c8fb12b0d175在边eqId99a3187c2b8f4bcc9703c74c3b72f1f3上,且eqId93cbffaa5ae045d6ac45d1e979991c3aeqId63db14a5b4334f3ea583c8fb12b0d175eqId99a3187c2b8f4bcc9703c74c3b72f1f3边上的三等分点(其中eqId93cbffaa5ae045d6ac45d1e979991c3a为靠近点eqId052844cae8574a8ab842c38a039baac0的三等分点),且eqIdbc5eb0b679bd4b48b9335f2775244752,则(   )
A.eqId5d7c56b76ef04876af91de4e6b646f0ceqId8b77ba615e7a4a398c9ea2256ce28400B.eqId0e4db8c386964c68acb8d97db1b3c54beqIdfb9cac9c76124b29999ca1fa1662fd3d
C.eqId5d7c56b76ef04876af91de4e6b646f0ceqId7fa99a389c7147de80678f2a255e4b58D.eqId0e4db8c386964c68acb8d97db1b3c54beqIdae0412da1bef433d9b09d0183c20bb24
3 . 已知非零向量eqId7bc6fc8794944e57a77be639d9d491b5eqId4ddba6db3da948fbad12a7b08aa05161满足eqIdf91125d4243a4fb0a1a6e67906b26ae6eqId81511fe36c2a4fbfbdf577e3e4ec6455,若eqIde758ea04d4f5438f8b71e73740dfe832,则eqId64b9b599fdb6481e9f8d9a94c102300b的面积为___________
4 . 在边长为3的正方形eqId5ce7a06ae7a34393b92b5277978ac014中,点eqIdbedf755e0fdb4d078d6859360706b163在线段eqId1b51efe7c2fa42748ac5a6be262e2fa4上,且eqId75bbd3692db441a283cb7f65eb1f2d94,则eqIde6e1a6ff947c4349910d2c8dc7a27712(   )
A.eqId8d0a28cfeffc45b899be186d5202049dB.eqId3b29afc35d5a4bdfab8a0674ec37b12dC.3D.4
多选题 | 一般(0.65) | 2021·重庆高二期末
5 . 在四边形eqId5ce7a06ae7a34393b92b5277978ac014中,eqId2381423d4cd146cab95f55527681a766是边eqId99a3187c2b8f4bcc9703c74c3b72f1f3上一点,且满足eqId774304d4a58346efb33f86794d79d418eqId83f4a1a38714492d815a97fa643cbcd9.若点eqId517584fed25c413ba8b7bb33ffa2d5c6在线段eqId34c6b6e427744abfb88dc90b8c7c2111(端点eqId19a4eb16029e4550a14f2afe4741a3c3eqId0cd8063abf2b458f80091bc51b75a904除外)上运动,则eqId1ecc2d22524b4e669df1de388b571890的可能取值是(   )
A.eqIdbeffaaf8d5cd43cf8375210d69fce6beB.eqId6c134c414a5e4643849c88caa4d6a5f0C.eqIdfcc58431683b452ca65d1d9977a280bdD.1
6 . 在eqId64b9b599fdb6481e9f8d9a94c102300b中,点eqId0cd8063abf2b458f80091bc51b75a904在直线eqIdcf2da96900c948a1b3ce7cbfd420c080上,且eqIdf9a42a58b01545f3be8b8e277607cd3b,点eqId93cbffaa5ae045d6ac45d1e979991c3a在直线eqId1b51efe7c2fa42748ac5a6be262e2fa4上,且eqId959ffb517d8c4794abbea4ccad9a49e6,若eqIdf8ae055eeb8c448789ccae9ea30656c8,则eqId2662ad2b919446efb5d4c8d1bf92e100______
7 . 下列命题正确的是(   )
A.单位向量都相等
B.零向量没有方向
C.设eqIdf087b35a5011425daaafbf14a5e61064表示“向东走eqId29b847f8b3fc46429c057694a76535c9”,eqId5f16eb46594d47b58ffc973b5cc2dd0d表示“向西走eqId098a651adf9e44f3a2bec1023c467414”,则eqId06aca259a7e64f0a8c5208d1bdf5c83d表示“向西走eqId29b847f8b3fc46429c057694a76535c9
D.若eqIdf087b35a5011425daaafbf14a5e61064eqId5f16eb46594d47b58ffc973b5cc2dd0d共线,eqId5f16eb46594d47b58ffc973b5cc2dd0deqIdfe72fe3d77e34f6e89f18aeb25a9a009共线,则eqIdf087b35a5011425daaafbf14a5e61064eqIdfe72fe3d77e34f6e89f18aeb25a9a009共线
8 . 已知eqIdb64aaee0152f425e83be222990766b2c,则eqId57cbe164615544e2958b27bde482a360(   )
A.eqId3d50d8e020e14a79ad1b9e877af5419fB.eqIdf76965f64f2048879fb208f8ea0c4ec0C.eqId8e29ad409d264abc9149db997866a02fD.eqIdd3bc8ed6ca0c47aab8a7f0943726c247
9 . 在eqId64b9b599fdb6481e9f8d9a94c102300b中,eqIdbe50f8dd399f4e8f90510feab89fa650eqId215d92e123ec41d0b104c12eb71e2956eqIdc162f18dffc447c3b4f119a827d55d06,则下列结论正确的是(   )
A.eqIdfee6209f89854f4392ae8179fc79405eB.eqId675eaae3554b408da8e1bff0bc303945
C.eqIdae67c04cc8684609bf814cc61b615798D.eqIdb1c4c7dba8c6493fb851bf793f498957
10 . 如图,BAC的中点,eqIdb71a74314e6d4df181e3ea35d9dbca44P是平行四边形BCDE内(含边界)的一点,且eqId15ddbace1603402ea3ab6925533c05e0,则下列结论正确的是(   )
说明: figure
A.当PC点时,eqId304afd9f2ec84e138ab539275a5edd19eqIdaaf3b5740ff64de89bfc204544dd71a5
B.当eqId90f4010cc71b4998be6fa90952078f6b时,eqId1a758b1304224add8b354291bf57ca17
C.若eqIdd2cd98e0fc10431cb71ed1d3b1944ef1为定值1,则在平面直角坐标系中,点P的轨迹是一条线段
D.当P是线段CE的中点时,eqIdd9f3c8dc76174ce2802f7ef411260c49eqId6252040a1d054b2f98798820761cedd6
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