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1 . 设平面向量eqIdc1d5ac9426ff487bb0a1564eef4eb849两两所成的夹角相等,且eqId90a6713240294a85a7d2843a62f9e415eqId5f1ec9de3c9a4c8bb9f4d2bb42d407b9eqIdd9c808a92ce44b819649aea85da20012,则eqIdcfc4a48073e144b0ba74c75a419db947的值可能为(   )
A.eqIdc052ddfbd4524f67a79e0e77c2e5656aB.eqId8898c1dc81824f3098bbeae74e8f11fdC.eqId8f65c930571d4ff6aa6a50029d46826eD.eqIdcd9b24a6a6e5426ab775be20461174e3
多选题 | 较易(0.85) | 2021·全国高一课时练习
解题方法
同步
2 . 设eqId0429696ccc894dc7b52037447cd1fc25为单位向量,下列命题是假命题的为(   )
A.若eqIdb1e572f8d7684069a287b0f8ac00d807为平面内的某个向量,则eqIdbb1e2b8429d645e892d52ef667d54aa2
B.若eqIdb1e572f8d7684069a287b0f8ac00d807eqId0429696ccc894dc7b52037447cd1fc25平行,则eqIdbb1e2b8429d645e892d52ef667d54aa2
C.若eqIdb1e572f8d7684069a287b0f8ac00d807eqId0429696ccc894dc7b52037447cd1fc25平行且eqId5e0fd9a27736452c8a9990f66b0b220e,则eqId99f5a2d366c340598b776dad754858d5
D.若eqIdb1e572f8d7684069a287b0f8ac00d807为单位向量,则eqIdecc5a746dd264454b371de9284e799f2
更新:2021/01/06组卷:1151
解答题 | 容易(0.94) | 2020·四川仁寿一中高二开学考试
解题方法
3 . (1)已知平面向量eqId5c50472cc7c94b08ae7fcffb0ae86811eqIdc8c6ee09674649a79ed84fd7ca608a82,若eqIdbf80e33f8af0497793eeb1eb2a0e416eeqId26d0383ebc3f44c2984e80b88390a5f5垂直,求x
(2)求关于x的不等式eqId6bfc8efba564423bb309bb9e27c476f8的解集.
4 . 正项等比数列eqId2c1230a9ef5a4968be599681d676dd2beqIdcb76a7e086cb490f8a24f496acd049aa,“eqId566e3d3b4a5b46a1909a618a4bb5cae4”是“eqId5198782e07124030a6ecd5f7948e6a7e”的(   )
A.充分不必要条件B.必要不充分条件
C.充要条件D.既不充分也不必要条件
5 . 已知四边形eqId5ce7a06ae7a34393b92b5277978ac014中,eqIdeeb31896175e4a25a3cabca4a7ba587ceqId66453d5e76944b5585fe626e0ed16588eqId1b7eda4a29c54391af20f6e5271576ee,点eqId93cbffaa5ae045d6ac45d1e979991c3a在四边形eqId5ce7a06ae7a34393b92b5277978ac014上运动,则eqId0e00e6c7aee045a8ad31fdb855469d88的最小值是(   )
A.eqId8898c1dc81824f3098bbeae74e8f11fdB.eqIdfca343da1efc413487359c1551da9dbeC.eqId12cdee9269084cdd9a6db21bdd50a61cD.eqId4e2a05e4ed5345bfa9b26d9fbd866b59
解答题 | 一般(0.65) | 2020·新乡市第一中学高一月考
解题方法
6 . 在平面直角坐标系中,O为坐标原点,CPQ三点满足eqId7300c0a7c51140b7a9f980d1f3555b40
(1)求证:CPQ三点共线;
(2)若eqId1abd181d7d8e436d83d82260da38a7c4eqId869e276918ec4bfba3e7433d2858cb9ceqId6fc94f6e181444c6b809fb393eb8fae6),则eqId1407c0e5e280466e8456a41fe6e68994eqIdff0e455f0e0444c9b0ba479e95400f1c)的最小值是多少?
单选题 | 一般(0.65) | 2020·浙江高一课时练习
解题方法
同步
7 . 已知集合eqId123f61d182834c79a426dd2e33e1b818满足eqId675e005548a34ec78946296e203b3e84eqIdb9202b986806465aaf624e58c1ac0f90为集合A的一种分拆,并规定:当且仅当eqId70928d8ee90a405baca365495a8b81d5时,eqId81b6e3a241c4454f98df69d845e27ed0eqIda84feca359de4d63a7c84912a40def5a为集合A的同一种分拆,则集合eqIdc71b9d7fdd5a4255bc9be49b0de5e795的不同分拆的种数是(   ).
A.27B.26C.9D.8
单选题 | 较难(0.4) | 2020·天津南开中学高三月考
9 . 如图,在等腰梯形eqId5ce7a06ae7a34393b92b5277978ac014中,eqId513b964714c8461baad486d3ad4ead9ceqId6e6868fdad0a4f158250fdea235f0dbf,高为eqId70a27b6ddf6b478285353abb3b1f3741eqId93cbffaa5ae045d6ac45d1e979991c3aeqId8a76bbe21fb549e3a9c2038d58c7a3d8的中点,eqIdbedf755e0fdb4d078d6859360706b163为折线段eqId073f580fb93d452a9aa2633438c6d5b2上的动点,设eqIdf8b2c09bb99f4bce851553b37842ceb2的最小值为eqId12e0f8295c4c46c0ba7b5ebca28f1534,若关于eqId70a27b6ddf6b478285353abb3b1f3741的方程eqId37d6ecf4f498461b8731abc951f422df有两不等实根,则实数eqId4d2187284c5d4de29906363f7d21f60f的取值范围是(   )
说明: figure
A.eqId532961581d9b45d7b1e896d5fcfa2eaeB.eqIdfff7e235ca20485aa436f4e7f494bc74C.eqId8bc07cfa5bc24598850b375b92cacb93D.eqId0fec7e254e864823bcd9a13121f99539
10 . 已知平面向量eqIdbfdcb35337334952b6d7ceab2f7c8afd满足eqIdfbdf961a58814f32a731606ae4a02567,若对任意共面的单位向量eqId9dbf41a519a14d86ab61bcdf27e59309,记eqIddb06d1c5a95048cca6b3b15fb7ffdf7a的最大值为eqId2381423d4cd146cab95f55527681a766,则eqId2381423d4cd146cab95f55527681a766的最小值等于______.
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