组卷网>知识点选题>平面向量的数量积及其应用
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解答题 | 一般(0.65) | 2021·山东高一期末
1 . 已知向量eqIdfe2702be304445b499b035a970ed098eeqIdadb469db4439434d884c5bda40545551
eqId37705e1ef6a84bbdbe88433e75932cdf)若eqId4b0fa3c3aa7d45029611c198f8298bb0eqId06aca259a7e64f0a8c5208d1bdf5c83d垂直,求实数eqId69f56ef2c88b4b73a560da59f5247a82的值;
eqIdc052ddfbd4524f67a79e0e77c2e5656a)若eqId487eeeafb12644259daa8d3dd23ebe47eqIdc6c77ac2ea114f0d9ba8052825fda255的夹角为钝角,求实数eqId4d2187284c5d4de29906363f7d21f60f的取值范围.
2 . 已知在eqId64b9b599fdb6481e9f8d9a94c102300b中,eqId93cbffaa5ae045d6ac45d1e979991c3aeqIdcf2da96900c948a1b3ce7cbfd420c080上一点,且eqId81ba29f333d44a938d9ea1fb299a2e77eqIdbedf755e0fdb4d078d6859360706b163eqId1dcb20a9ce8d4076af5dd64f7066c6d6上一点,且满足eqId81dc7c4911a247cba8bcd9d21e73bb4eeqId1f2916617928475ea1e46e32a7d12c70,则eqIddc901b327e8f4f6e947456fa5f7aa9cd取最小值时,向量eqIdd9a0112ef2aa42f88491562a8096a2ae的模为(   )
A.eqIdf304702bf4d04282970e845827d5a8f8B.eqId760b154b333546b08e15d3334cce5a15C.eqIda2a0ce3781fa4c26b624f5966b7dee44D.eqId09e05062a16b4f488a1f9b4f661d0c75
3 . 已知eqId2efda802d5534f6d92d9f8af7aaec28b的半径为4,eqId052844cae8574a8ab842c38a039baac0eqId8754ce8cf7f34f04abb9a0c041f57f5c是网上两点,eqIdb12871670adf4efab5a7273922264f92eqId876037be016c4316885be871978f005b是一条直径,点eqId19a4eb16029e4550a14f2afe4741a3c3在圆内且满足eqId02310f611de44bba88144c41531b0e21,则eqIdee3dd8f7ecda42b586051237087108e8的取值范围是(   )
说明: figure
A.eqId381d00a286694891871b8d38ffbbbe6fB.eqId0c1eb8a3ecca4a69ae890241f1ff25ebC.eqId8d0b656bc4cc4efa813d477192297697D.eqId1a44aaeefe98416caeae678d952fd46f
5 . 已知单位向量eqIdf087b35a5011425daaafbf14a5e61064eqId5f16eb46594d47b58ffc973b5cc2dd0d满足eqIda264fd9d302f4c9fbe6ff4dec09c37e1,则eqId73787a37adfc4f5f8a0317783595ba64______
6 . 在菱形eqId5ce7a06ae7a34393b92b5277978ac014中,eqId3f12380592674d05aa90b01d77e67bb0eqId5136840fa9f4452583a6ba07df53797aeqId7ad961eac89f40cd80aa3b517633ffd7eqIdbedf755e0fdb4d078d6859360706b163是菱形eqId5ce7a06ae7a34393b92b5277978ac014内部及边界上一点,则eqId7fd5f52497a84153b665b3dd2dd34de0的最大值是( )
A.eqId9be796c93eaf499485ae86976c8efe1aB.eqIdde07de208adb4f5486928c6b095d61e1C.eqId0bad15ca833c426894079a104ff88a36D.eqIdb15d0384f08a43d4b4f9780853799917
8 . 已知平面向量eqId02936c0215af4b77be0353ddc4474d4ceqId4acf79be34c744e59e87840486693e54满足,eqIdb777c6f46ee744a4bbecf8e478b570f7eqId351b30d5c6f24d15b9db9762a02f937d,若eqId97cbfb197e624a1a85256c544420ed7f,则eqIdd792cebbc78a4ef6a5a5222c971aa5d2的最大值为(   )
A.1B.eqId317ed84d205b4156847380f7e9f38b08C.eqIda2a0ce3781fa4c26b624f5966b7dee44D.2
9 . 已知向量eqIdf087b35a5011425daaafbf14a5e61064eqId5f16eb46594d47b58ffc973b5cc2dd0d满足eqIdc6363ccacff44562a38bf4e5d83d26ffeqId58bf8eee966243fd925a8d89db0da593eqIdb5b84322186c4a78ab1602df30cd472e.
(1)求eqIdf087b35a5011425daaafbf14a5e61064eqId5f16eb46594d47b58ffc973b5cc2dd0d的夹角eqId6c9518e43fd5459798a30cfc10026e3c
(2)求eqIda3d6c97f59194898a235c530af3c7c4a的值.
10 . eqId64b9b599fdb6481e9f8d9a94c102300b中,eqId790707287e604e1a97e1484c1457c054eqIdbaffac6b458f47bf9fcd80741ce2afe7eqId14715041fdb44bb5bf6b4d5728a7bcd9,点eqId2381423d4cd146cab95f55527681a766eqId517584fed25c413ba8b7bb33ffa2d5c6分别在eqIdcf2da96900c948a1b3ce7cbfd420c080eqId0627be51821d4be7b3e024a354815d64上,且eqId76635bcea43c45a58cdb3b6e6c20a1cfeqId69f09ae9c76c40f79a7edce08285237ceqIdbf5e979cba2c43038f5188ba6edfe86ceqIda91c1cc3600e4aabb12a8ccd0ca4ce8e相交于点eqIdbedf755e0fdb4d078d6859360706b163,则eqId10958afd16854e5d81794f164050d4f4______.
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