1 . 在正三棱柱
中,
,
为棱
的中点,则异面直线
与
所成角的余弦值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f41d364b55d88688cd1f571ed231228.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ce1b066f8869d0ff4513f7a99745125.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 设
,
且
的夹角为钝角,实数
的取值范围是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90f485e4afe50f7e85efc3dce207cd7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99204cc0147faef5556ac86e805ce74e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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3 . 高一年级的全体同学参加了主题为《追寻红色足迹,青春在历练中闪光》的社会实践活动.在参观今世缘酒业厂区时,有一个巨大的方鼎雕塑.若在B、C处分别测得雕塑最高点的仰角为30°和20°,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07160f14b3b453bebb64cb2bf96dc85a.png)
,则该雕塑的高度约为( )
(参考数据
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07160f14b3b453bebb64cb2bf96dc85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15e00f40396e914d1d9955bd7785f1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15e00f40396e914d1d9955bd7785f1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee13ca005124b2fc399f84503888e0ad.png)
A.4.92 | B.5.076 | C.5.91 | D.7.177 |
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4 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d022d31e68d28d7dcf2db466d5caf1e3.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d022d31e68d28d7dcf2db466d5caf1e3.png)
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5 . 已知函数
.
(1)将
化为
;
(2)设
,求
离原点距离最近的一个对称中心;
(3)若
求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88d84fa4d550af16f3af61209b0f047a.png)
(1)将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9e53e6638784afc47c5a1bb7ad38d7b.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/901b512e4f3aa3712db7df872598232b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b2977274bad0c333ce1337bbbcf5d43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/032f8f657f9163ebc64db95d214f4091.png)
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6 . 以下关于正弦定理或其变形正确的有( )
A.在![]() ![]() |
B.在![]() ![]() ![]() |
C.在![]() ![]() ![]() |
D.在![]() ![]() |
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7 . 已知向量
不共线,且
,
,若
与
同向共线,则实数
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e8b95a61af300412fc65f846089028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae1f685b87b8db2c760752d3be0cc4fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05248d5a1d878ea112593b0b1156bcda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a0b19e69be46452425916a0fcb49c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b76118bdca6c463cfb19b66f30281c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
A.1 | B.![]() | C.1或![]() | D.![]() ![]() |
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8 . 化简
值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/428370b1b4cd1916722f8b6ca86c042e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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9 . 平行四边形ABCD中,
,求:
(1)
的值;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c03ffc540ce28b441934b77675690f14.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a47b376264d525c790ebad49a849c08.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5cb63aeea0b37799404c8fec092b21d.png)
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10 . 已知
、
是平面内所有向量的一组基底,则下列四组向量中不能作为基底的一组是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0411792b587ddd3e04440392f011c224.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b95d660852c5226ff65a21cfb36b8b39.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
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