1 . 已知向量
=(sinθ,cosθ﹣2sinθ),
=(1,2).
(Ⅰ)若
//
,求tanθ的值;
(Ⅱ)若|
|=|
|,求sin(2
)的值.
![](https://img.xkw.com/dksih/QBM/2015/11/5/1572280113553408/1572280119631872/STEM/0954a8ae2213420a89b1b9abaed90fa5.png)
![](https://img.xkw.com/dksih/QBM/2015/11/5/1572280113553408/1572280119631872/STEM/0378535100c4411cb41ea04d7403bdfe.png)
(Ⅰ)若
![](https://img.xkw.com/dksih/QBM/2015/11/5/1572280113553408/1572280119631872/STEM/3879bdfc8e904462b37680954f55ce1e.png)
![](https://img.xkw.com/dksih/QBM/2015/11/5/1572280113553408/1572280119631872/STEM/72e45b22cbd04adabdad5a4c740326a4.png)
(Ⅱ)若|
![](https://img.xkw.com/dksih/QBM/2015/11/5/1572280113553408/1572280119631872/STEM/3879bdfc8e904462b37680954f55ce1e.png)
![](https://img.xkw.com/dksih/QBM/2015/11/5/1572280113553408/1572280119631872/STEM/72e45b22cbd04adabdad5a4c740326a4.png)
![](https://img.xkw.com/dksih/QBM/2015/11/5/1572280113553408/1572280119631872/STEM/d5145a2aeb1f4a9689bcedd98298a3da.png)
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2 . 若向量
,
,若
与
的夹角为钝角,则实数
的取值范围为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/244d17e3c570a30b4caf6016b5585664.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/840e6dc7eec01e1e96bc3056d60195d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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13-14高二下·湖南常德·期末
3 . 已知向量
,若
为实数,
∥
,则
=
![](https://img.xkw.com/dksih/QBM/2014/10/23/1571882084294656/1571882089791488/STEM/e8c44ee01f114e1a9b2d8ed039b91c48.png)
![](https://img.xkw.com/dksih/QBM/2014/10/23/1571882084294656/1571882089791488/STEM/009860b238924d708b112baf20f0dd7a.png)
![](https://img.xkw.com/dksih/QBM/2014/10/23/1571882084294656/1571882089791488/STEM/2c2c8d2cc90c4f69b24612c58d161a20.png)
![](https://img.xkw.com/dksih/QBM/2014/10/23/1571882084294656/1571882089791488/STEM/230234ef3dc74253aeae519d4898d8bd.png)
![](https://img.xkw.com/dksih/QBM/2014/10/23/1571882084294656/1571882089791488/STEM/009860b238924d708b112baf20f0dd7a.png)
A.![]() | B.![]() | C.1 | D.2 |
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4 . 在平面上,
,
,
,若
,则
的取值范围是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/488adceddce79ac660bf449afa4f91d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1644b7715cb38c8aa9f8e2c5cfc207eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40563fdeba6c4ea055edec3b7e36710.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7363d45a149437451815bad45ae8bae2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ac06689f9215eea53d5ee077bf1f3a.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2016-12-04更新
|
160次组卷
|
2卷引用:2015-2016学年湖南师大附中高二上第二次段测文科数学卷1
5 . 已知向量
与
的夹角为
°,且
,
,若
,且
,
则实数
的值为__________ .
![](https://img.xkw.com/dksih/QBM/2016/1/8/1572425401917440/1572425407791104/STEM/0adf612f05b84582af14e4887e91ccd7.png?resizew=24)
![](https://img.xkw.com/dksih/QBM/2016/1/8/1572425401917440/1572425407791104/STEM/0073dab7238e4377b422570d1e5377a3.png?resizew=26)
![](https://img.xkw.com/dksih/QBM/2016/1/8/1572425401917440/1572425407791104/STEM/f5ff0bb39e8b4de8a64f6b43570336ba.png?resizew=26)
![](https://img.xkw.com/dksih/QBM/2016/1/8/1572425401917440/1572425407791104/STEM/cb20c9b0775243ca809e64f296fdaf85.png?resizew=51)
![](https://img.xkw.com/dksih/QBM/2016/1/8/1572425401917440/1572425407791104/STEM/4aabb0152f0344e6904171a904d31e99.png?resizew=54)
![](https://img.xkw.com/dksih/QBM/2016/1/8/1572425401917440/1572425407791104/STEM/f197a00ac5984f33a435fa8cd53f8312.png?resizew=109)
![](https://img.xkw.com/dksih/QBM/2016/1/8/1572425401917440/1572425407791104/STEM/6d74366242d74c0180acc640e98c1621.png?resizew=65)
则实数
![](https://img.xkw.com/dksih/QBM/2016/1/8/1572425401917440/1572425407791104/STEM/4c31d13db7834fbcaf842802b62057af.png?resizew=13)
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6 . 如图,在平行六面体ABCD—A1B1C1D1中,已知
=a,
=b,
=c,则用向量a,b,c可表示向量
等于
![](https://img.xkw.com/dksih/QBM/2016/8/4/1572957322633216/1572957328457728/STEM/2d7e01da959d42cbad41f181f0599797.png)
![](https://img.xkw.com/dksih/QBM/2016/8/4/1572957322633216/1572957328457728/STEM/7b1c08260ed84b16a16285f0a0c78753.png)
![](https://img.xkw.com/dksih/QBM/2016/8/4/1572957322633216/1572957328457728/STEM/57d35ada92d94e58aaf8df09fffd1c99.png)
![](https://img.xkw.com/dksih/QBM/2016/8/4/1572957322633216/1572957328457728/STEM/fb563434d1c0415c96ad498cb8b8269e.png)
![](https://img.xkw.com/dksih/QBM/2016/8/4/1572957322633216/1572957328457728/STEM/e51a693482e14f17ab3d8054ff326f15.png)
![](https://img.xkw.com/dksih/QBM/2016/8/4/1572957322633216/1572957328457728/STEM/2d7e01da959d42cbad41f181f0599797.png)
A.a+b+c | B.a-b+c | C.a+b-c | D.-a+b+c |
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