2024·全国·模拟预测
解题方法
1 . 如图,已知长方体
中,
,
,
为正方形
的中心点,将长方体
绕直线
进行旋转.若平面
满足直线
与
所成的角为
,直线
,则旋转的过程中,直线
与
夹角的正弦值的最小值为( )(参考数据:
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3da8c338342e38c9aa3f274c053fd5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f121eabff3c62c1a196d9ca5f6f83f0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a67d8576417f761dd5f583ad3a1555a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3da8c338342e38c9aa3f274c053fd5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e142e0f0e25dc2ad81ec1a7ec6ed866b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e142e0f0e25dc2ad81ec1a7ec6ed866b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/903c1bb6f9fe8f9b9710683a3e601452.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e380108ba2cf04e68a5a9393d2b921c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bda192938e6048ac769bad63a27aaf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b8906c2d0201e75ff24dca193ce457f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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23-24高二上·上海·课后作业
解题方法
2 . 如图是一个W形的霓虹灯,每边长都是2m,每相邻两边的夹角都是
.试建立适当的平面直角坐标系,并写出此霓虹灯的每条边在这个坐标系中的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/996bf3d35b6763cbc1a423b13a9df2dd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/13/0574c214-0883-4e7d-ade1-d67f10791ebb.png?resizew=75)
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3 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1292d729b44dd285370df8b0d4ca4f83.png)
__________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65fcb79b9d457166d45e2d63bd681091.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/005fa32731cd8290847a115f78b42efa.png)
__________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c634aa65493615fbb40f1352a88c5aa3.png)
_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ea16125a2b2462fc9a5d8e943c32cda.png)
_________ =___________ =___________ .即![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ea16125a2b2462fc9a5d8e943c32cda.png)
_______
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1fb3a59161b58a1e6577faa9fe1fe31.png)
___________ =___________ =___________ ,即![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1fb3a59161b58a1e6577faa9fe1fe31.png)
_________
.
说明:①
公式的适用范围是使公式两边有意义的角的取值范围;②
公式的变形:
;③
公式也可以用“
”代替
公式中的“
”得到.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1292d729b44dd285370df8b0d4ca4f83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65fcb79b9d457166d45e2d63bd681091.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/005fa32731cd8290847a115f78b42efa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c634aa65493615fbb40f1352a88c5aa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ea16125a2b2462fc9a5d8e943c32cda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ea16125a2b2462fc9a5d8e943c32cda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/188ce338b5f2c98859c3cd97a733fa68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1fb3a59161b58a1e6577faa9fe1fe31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1fb3a59161b58a1e6577faa9fe1fe31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e4b950fb705ecc88a6dd23025fa4942.png)
说明:①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a852333c078188b21ba71d8a0623c65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a852333c078188b21ba71d8a0623c65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2396b1f05fca90236fa2417923e52d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5b4e7bc66e91b1d5c270b6c7a0aa571.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a03fb21c8b2e63f2861bfa8278283b75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bd2dc6bf0aeb45fa764a21864f5d0fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
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4 . 复习两角和的正弦、余弦、正切公式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1292d729b44dd285370df8b0d4ca4f83.png)
___________
;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/005fa32731cd8290847a115f78b42efa.png)
___________
;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ea16125a2b2462fc9a5d8e943c32cda.png)
__________
,注意:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1292d729b44dd285370df8b0d4ca4f83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcb429ed20b07e9bfb0806fff8a6f27a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/005fa32731cd8290847a115f78b42efa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d65b103befcac098977aec07f4623df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ea16125a2b2462fc9a5d8e943c32cda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/188ce338b5f2c98859c3cd97a733fa68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5281f19d2e69fdf725a0dc13f701aacf.png)
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名校
5 . 宝塔山是延安的标志,是革命圣地的象征,也是中国革命的摇篮,见证了中国革命的进程,在中国老百姓的心中具有重要地位.如图,在宝塔山的山坡A处测得
,从A处沿山坡直线往上前进
到达B处,在山坡B处测得
,
,则宝塔CD的高约为_________ m.(
,
,结果取整数)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/615423de8cae2a76d73625352c46dbfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb99609fd8b887172814ce6cf90af1bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45723dce96b74f027adcb1a4ecd19db8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/386c7de62e8f9a8161ebaefe6b4ec35e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c894b7d6baa55c80c64e74748dad898.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb015b3adfab424c91f1ed8b123fc23c.png)
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2022-12-06更新
|
1029次组卷
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7卷引用:陕西省榆林市神木中学2021-2022学年高二上学期第一次检测考试数学试题
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21-22高一·全国·课后作业
6 . 两角和与差的正弦、余弦、正切公式
展开式 | 记法 | |
两角和的余弦 | ![]() | ![]() |
两角和的正弦 | ![]() | ![]() |
两角差的正弦 | ![]() | ![]() |
两角和的正切 | ![]() | ![]() |
两角差的正切 | ![]() | ![]() |
您最近一年使用:0次
名校
7 . 设点
的坐标为
,
是坐标原点,向量
绕着
点顺时针旋转
后得到
,则
的坐标为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4562f3225c98cf5cb11b47d98c9cc9c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d60dcb171bb7fd972aab8294d63acdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/709251ddf9c543904f4782247c2cc776.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c314398e26ffc7164b82946eeb4273.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2021-05-12更新
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593次组卷
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5卷引用:上海市奉贤区2021届高三二模数学试题
上海市奉贤区2021届高三二模数学试题江苏省南通市启东市2020-2021学年高一下学期期中数学试题(已下线)考向10 三角恒等变换-备战2022年高考数学一轮复习考点微专题(上海专用)上海市南洋中学2021-2022学年高一下学期第一次月考数学试题沪教版(2020) 必修第二册 同步跟踪练习 第8章 8.3-8.4阶段综合训练