11-12高一下·湖南长沙·期中
1 . 已知向量
、
,
,
,
.
(1)求
的值;
(2)求
与
的夹角
;
(3)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/696bf63a3a726968a19b8927be5a2112.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0928087301c0628fba2a9cd3af14f34d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3da3515b6c312529712ea79d7574bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5da6aef4a6d48f6c66780b6be96e42a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c773ac86e2f5f78d6f49987ef9067108.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/701f7f518bc20f51da1a2756204d96e6.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/696bf63a3a726968a19b8927be5a2112.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0928087301c0628fba2a9cd3af14f34d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26ab55147ca5c0f958af43b0637ee31b.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f56e34697278e79068337eca8fa32e00.png)
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2 . 如图,菱形
的边长为
,
,
为
的中点,若
为菱形内任意一点(含边界),则
的最大值为
![](https://img.xkw.com/dksih/QBM/2016/3/21/1572546773278720/1572546779447296/STEM/0264494c17194f14abd792b5cd3f0e31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69f5d638ff34498bd64f028f3501dcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/568ae3ec5b77ae970b379c2f5e8da4c2.png)
![](https://img.xkw.com/dksih/QBM/2016/3/21/1572546773278720/1572546779447296/STEM/0264494c17194f14abd792b5cd3f0e31.png)
A.![]() | B.![]() | C.![]() | D.9 |
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3 . 设
,向量
,
,
,且
,
,则
=___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dcbca3478eae63853d2aab5332e2e56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3dfa65a7cdb880c7ee825ab1cd8f5d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29ded15ca21d8bee92275f9fde466e3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/594048054afab87ec72e9265a52f26a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a36228810d0c2f6c6e53584c1ac176b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abf05425710706055effe490cc324263.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afd37baea86611340dab5f2bed17ecd4.png)
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4 . 已知
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/593567afe649d41b38bc413b6f35e3d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d469f6556c10a448446ef4ef59065bc4.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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9-10高一下·内蒙古通辽·期末
5 . 已知
是同一平面内的三个向量,其中![](https://img.xkw.com/dksih/QBM/2013/11/26/1571404277293056/1571404283027456/STEM/cc6862c735854a5cbb78a5fd47a40757.png)
(1)若
,且
,求:
的坐标
(2)若
,且
与
垂直,求
与
的夹角
![](https://img.xkw.com/dksih/QBM/2013/11/26/1571404277293056/1571404283027456/STEM/250c44a0b2db4a17aa50fc7b43e22ab1.png)
![](https://img.xkw.com/dksih/QBM/2013/11/26/1571404277293056/1571404283027456/STEM/cc6862c735854a5cbb78a5fd47a40757.png)
(1)若
![](https://img.xkw.com/dksih/QBM/2013/11/26/1571404277293056/1571404283027456/STEM/55845bac6fbf46958510b55f02359642.png)
![](https://img.xkw.com/dksih/QBM/2013/11/26/1571404277293056/1571404283027456/STEM/f0774ac1457d4febaec03b3d9867ffd2.png)
![](https://img.xkw.com/dksih/QBM/2013/11/26/1571404277293056/1571404283027456/STEM/bd6c7d5d9d464ea699d6d47cce7c037b.png)
(2)若
![](https://img.xkw.com/dksih/QBM/2013/11/26/1571404277293056/1571404283027456/STEM/4a4a616a95874a33bfa12910925eda34.png)
![](https://img.xkw.com/dksih/QBM/2013/11/26/1571404277293056/1571404283027456/STEM/b88e4fc9586f4fa390d91a9dcd8bdbd0.png)
![](https://img.xkw.com/dksih/QBM/2013/11/26/1571404277293056/1571404283027456/STEM/4777dbfc592c4516b192f144acc0787f.png)
![](https://img.xkw.com/dksih/QBM/2013/11/26/1571404277293056/1571404283027456/STEM/a104a951d46647b48f2538f77bd566c0.png)
![](https://img.xkw.com/dksih/QBM/2013/11/26/1571404277293056/1571404283027456/STEM/58b4d3e0ba054ab59b2cb16546d176ed.png)
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6 . 在
中,若点
满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/606f9caeed7542623e4cfaed43840a7f.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/184a4711870c5c4e05c921e98e75b5be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/606f9caeed7542623e4cfaed43840a7f.png)
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解题方法
7 . 已知
,则
的值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433bb68d78e4ef522e246e857b6fa381.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f416a2d7de4fe40a1e83ce111e52466.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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13-14高三下·山东青岛·阶段练习
名校
8 . 函数
(
)的图象如图所示,则
的值为
![](https://img.xkw.com/dksih/QBM/2014/5/13/1571715426516992/1571715431743488/STEM/7deb7a4d-2c55-4041-864a-dec27d5ac169.png?resizew=217)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4370b3633c887405c229ccf72bb7c491.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/021ed3f69d9ef3385f56191dc2a58911.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0782674c754734357bbc66b06366340.png)
![](https://img.xkw.com/dksih/QBM/2014/5/13/1571715426516992/1571715431743488/STEM/7deb7a4d-2c55-4041-864a-dec27d5ac169.png?resizew=217)
A.![]() | B.![]() | C.![]() | D.![]() |
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9 . 函数
的部分图象如图所示,则函数
图象上的最高点坐标为( )
![](https://img.xkw.com/dksih/QBM/2016/8/8/1572963060310016/1572963066388480/STEM/94931f83207a43ce893ffebe865e156a.png?resizew=207)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd139fb1d9ad28e104c438014420411f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://img.xkw.com/dksih/QBM/2016/8/8/1572963060310016/1572963066388480/STEM/94931f83207a43ce893ffebe865e156a.png?resizew=207)
A.![]() ![]() |
B.![]() ![]() |
C.![]() ![]() |
D.![]() ![]() |
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10 . 已知函数
.
(1)求函数
的单调递减区间;
(2)在
中,角
的对边分别为
,若
,
的面积为
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074356efaf70829d05633af03cc00a75.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd936a2405709574af0a73543d94ad9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/848478516c7d2e9188496f33ecae4669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd936a2405709574af0a73543d94ad9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adbd3e8cf8325999cde03adf845d3dd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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