组卷网>知识点选题>数形结合思想
显示答案
| 共计 212 道试题
1 . 已知eqId64b9b599fdb6481e9f8d9a94c102300b外接圆的圆心为O,半径为1.设点O到边eqId0627be51821d4be7b3e024a354815d64eqId1eb64606273a4d63bfa90e56f9a3f5c2eqId99a3187c2b8f4bcc9703c74c3b72f1f3的距离分别为eqIdcb9b2b8bd99c447bbccaaa8a411aa71beqIdef8988307d4c45ce94db1755a94bb661eqId8f19c84fd7204c62a9cc886c9413e214.若eqId3838902fa64d4155a0efa77f8df04bae,则eqIdd43cca36ae9445398483e0c61e8ec4b9(   )
A.eqId44aff622a095465082b61837e24439e7B.1C.eqId6b2724baa0064c51b2ba39f5b281a1ebD.3
2 . 如图,eqIdeb53cb7cb0274f7d8f111c60f824c243是单位圆上的相异两定点(O为圆心),且eqId21e11126ee11405e9625750204d611abeqId6c9518e43fd5459798a30cfc10026e3c为锐角).点eqId19a4eb16029e4550a14f2afe4741a3c3为单位圆上的动点,线段eqIdcf2da96900c948a1b3ce7cbfd420c080交线段eqIdbdb9b3ab33a542d9b1aefcf002989543于点eqId2381423d4cd146cab95f55527681a766.
说明: figure
(1)求eqIdefe8fd9133714409badc1d42f3254818(结果用eqId6c9518e43fd5459798a30cfc10026e3c表示);
(2)若eqIda4d922e7c8f34ec4892385f0e9138533 
①求eqIdebce22a80488491794cbc9bf4f56a0bd的取值范围;
②设eqId073771e3ac8447c1aa75df0f114c0f88,求eqId8a32aa9b5f964498a47c11434f81da69的取值范围
多选题 | 困难(0.15) | 2021·深圳市高级中学高一期中
3 . “奔驰定理”是平面向量中一个非常优美的结论,因为这个定理对应的图形与“奔驰”轿车(Mercedesbenz)的logo很相似,故形象地称其为“奔驰定理”.奔驰定理:已知eqId2efda802d5534f6d92d9f8af7aaec28beqId64b9b599fdb6481e9f8d9a94c102300b内的一点,eqIdf700afd90c684ae68f01eb5e4b44a62ceqId21f1ea9c8e6e4c9f9641dc4c23df271deqIddf1261303406416b95167db34b378716的面积分别为eqId30ec6d0868a645edbc0d10f1812ae9b8eqId8271b83fa1f84fc8bf1c59f64c50fad0eqId0f767140e0204f2ba42e11f77c8621be,则eqId5768aa65ba2e487f8079d766d539f2f2.若eqId2efda802d5534f6d92d9f8af7aaec28b是锐角eqId64b9b599fdb6481e9f8d9a94c102300b内的一点,eqIdc009b2c31acd4c439f10218776fdac36eqId84d89de8bdfb4aaca7967c5e60408f42eqId6c2ac5c036c74647a680198b592d7958eqId64b9b599fdb6481e9f8d9a94c102300b的三个内角,且点eqId2efda802d5534f6d92d9f8af7aaec28b满足eqId7be5653c174a431487176e3ebd729aca,则(   )
说明: figure说明: figure
A.eqId2efda802d5534f6d92d9f8af7aaec28beqId64b9b599fdb6481e9f8d9a94c102300b的垂心
B.eqId978bf006344346019cdd91ff9d458a6a
C.eqId7d614ae73d2044809c51d15dbf4f7031
D.eqIda6cfa15c328448eca1fa3b86d039bdad
4 . 在eqIdb1803dcd0646465285ffbf361c487652中,eqId0b4aa56c349c4b6dbdef3368e83fdc9beqId723813556fd543bb8e1bfd491f4cd505,则eqId3f8d0fddfd214a738157890c4017b433eqId4ddba6db3da948fbad12a7b08aa05161上的投影向量的模为(     )
A.eqId52ef9cda12e5410dafc3bfcf1840555bB.eqIdab7cb7cf6f374dca93e01c743e2fffbaC.5D.eqId1d18010fc29e4f45abaaece953793246
单选题 | 一般(0.65) | 2021·重庆八中高三月考
解题方法
5 . 已知非零向量eqId988448303f59490eb6e10cca484348e3满足eqId354a8773332f40f59cfb71f70e1d284a,且eqId901c2c00b94c4dc4aaa648c81fd57858,若eqIdbf80e33f8af0497793eeb1eb2a0e416eeqId26d0383ebc3f44c2984e80b88390a5f5的夹角为eqIdd8088956091a476791490a7514d76ec8,则eqIdbf80e33f8af0497793eeb1eb2a0e416eeqIdb7c6d8371b09414d839ebda7276899f4的夹角为(   )
A.eqIdf1c3337151994ec4b99354c9d54f311cB.eqId4023ceb292e24a45871ca56fa44d50e3C.eqIdfb8044096d3c4821ab90149197002752D.eqIdb96222c8508747269dcd8b52f802667b
单选题 | 一般(0.65) | 2021·辽宁高一期末
解题方法
6 . 在eqId64b9b599fdb6481e9f8d9a94c102300b中,eqIdbb5947e8369946fba5aada921ee882c6eqId18e3ae3e255349039d6726b8293c6cab,则eqId157497d69e47473e9e80f78c4833d436的最小值是(   )
A.eqId03859367a9b64a56ab90e31a0cec909aB.eqId62f2412997424b4ca41272f35d432557C.eqIdf35f1e45d1d840c2ae8371573f781126D.eqId6f05016ac9d0488fae44d54c327ea26f
7 . 如图,在△AOB中,已知|eqId8fc87b6e58284272a2b57c453d92c834|= 2,|eqIda5e28896576540feaa02c457e82451cf| = 2eqIda2a0ce3781fa4c26b624f5966b7dee44,∠AOB = 90°,单位圆OOA交于CeqId685f24abab324bdfbda2e97fbda4746f = λeqId7bc6fc8794944e57a77be639d9d491b5λeqId9265829003c343408317ee4fc8435d11(0,1),P为单位圆O上的动点.
说明: figure
(1)若eqId38bd7b0945784b718190eac5724ac289 + eqId393817f804dc4fe2a483f4c09853a374 = eqId41cb209097d0471ca016239904f9fa50,求λ的值;
(2)记|eqId60a67705eb22402691d4ee527ae27648|的最小值为fλ),求fλ)的表达式及fλ)的最小值.
8 . 已知直角三角形eqIda670baf5d73f4d7689915a00c51820f2斜边eqIddddccbe385534462b51b1e1b448764e2,直角边eqIdfe18ffe719a14cd2a8848c7f519d9ecf,动点eqId0cd8063abf2b458f80091bc51b75a904满足eqId40e13792e60b4501bec7dec3f28f61a4,下列说法正确的是(   )
A.eqId0edc07aacda642f08282c19ba027d561的最大值为10
B.eqIdcf48528e1a9c4bb99bd1574f7b6b9600的最大值为6
C.eqIda347790a9cf54049909fb8b53c944fb7的最大值为24
D.存在eqId0cd8063abf2b458f80091bc51b75a904点满足eqId9356f1a1f19444468c1f6f0fbcf0cebd
单选题 | 一般(0.65) |
9 . 在等腰梯形eqId5ce7a06ae7a34393b92b5277978ac014中,eqIdb011475530c349f5857f1480964be088是腰eqId8a76bbe21fb549e3a9c2038d58c7a3d8上的动点,则eqId12f19e590f084ca5b0cfadf9c1adefeb的最小值为(   )
A.eqId15d2088f003c4aad9745c07a7616191bB.3C.eqIda35cf66775a24732b08dc411968e2420D.eqId3e88152e02454dc9a27a89a2bfd2a05e
更新:2021/07/20组卷:115
多选题 | 一般(0.65) | 2021·湖北高一期末
解题方法
10 . 已知平面四边形eqId5ce7a06ae7a34393b92b5277978ac014eqId2efda802d5534f6d92d9f8af7aaec28beqId5ce7a06ae7a34393b92b5277978ac014所在平面内任意一点,则下列命题正确的是(   )
A.若eqId70c6736a4d4c49e19c3217e72ec3de4b,则eqId5ce7a06ae7a34393b92b5277978ac014是平行四边形
B.若eqIdce3d768b083b4201af56ac89b1ec15e0,则eqId5ce7a06ae7a34393b92b5277978ac014是矩形
C.若eqId397b67fd92e04b91b8fd0d24028fd5aa,则eqId64b9b599fdb6481e9f8d9a94c102300b为直角三角形
D.若动点eqIdbedf755e0fdb4d078d6859360706b163满足eqIda51dbd5926b74cca85a9cbe9be9a3cf7,则动点eqIdbedf755e0fdb4d078d6859360706b163的轨迹一定通过eqId64b9b599fdb6481e9f8d9a94c102300b的重心
3道题,平均难度一般 清空试题 进入组卷中心
收起