20-21高一·全国·课后作业
解题方法
1 . 如图, A, B是单位圆O上的点,且A点坐标为
, B在第二象限, C是圆O与x轴的正半轴的交点,△AOB为正三角形,求tan∠BOC的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52e01dbe21fe74f2e9babfadd8b09baf.png)
![](https://img.xkw.com/dksih/QBM/2021/11/11/2849050733297664/2849204611604480/STEM/d3e9a131331e4e778f296bad82087c4e.png?resizew=191)
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20-21高一·全国·课后作业
2 . 如图,在正方形ABCD中,P,Q分别在BC,CD上,且
,利用两角和(差)的正切公式证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c7a1488c16cb30a6409c6b35de15d90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4e13889db9188c455a3ac91f2f32cf7.png)
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20-21高一·全国·课后作业
3 . 已知
,
,且
,
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bc282dae4ac9132196ac5d13f63b901.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2ae955c9387d83dea2a7f092208f84e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852fa088d3b348c8a418ab5c3b977ab4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f584f913b804131ad1a7c6b67e14cb03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e78aa9e3a24b40d57a6b5a179de171b9.png)
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20-21高一·全国·课后作业
4 . 证明:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e5dcd24d67c9587ff7acfaaf0da97e3.png)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e5dcd24d67c9587ff7acfaaf0da97e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/140fe157810e4ec1e86cab53f284ef07.png)
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20-21高一·全国·课后作业
名校
解题方法
5 . 已知
,
是方程
的两根,求下列各式的值:
(1)
;
(2)
;
(3)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc9750c313ee972124cb62c4a6fb7ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f35152720e43c6403d43bef47c0377d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1467984bfc64fb33e90618126747312b.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e673f7e66c2a252da4c77c70d90c8cec.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19ebc7021b0a4c3198a3cfa95e7f9335.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c413622799e4e4003d98f4cfba672ca0.png)
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2021-11-11更新
|
189次组卷
|
5卷引用:10.1.3 两角和与差的正切
(已下线)10.1.3 两角和与差的正切陕西省商洛市镇安中学2022-2023学年高一下学期期中数学试题苏教版(2019)必修第二册课本习题 习题10.1(3)新疆英吉沙县实验中学2024届高三上学期期中考试复习数学试题(四)(已下线)专题07两角和与差的余弦、正弦和正切公式)-【寒假自学课】(沪教版2020)
20-21高一·全国·课后作业
6 . 证明:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2ccc59669756b7a951d57b5d5ba00dd.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f95dc8a625aa03626e5ad64ace59a8c.png)
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20-21高一·全国·课后作业
名校
解题方法
7 . (1)已知
,
,求
的值;
(2)已知
,
,且
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4efab92ad3201cbf21f73994355f1e14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76ed2599b52f08c1ea1b1d22237b09ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23de32c77245ae0091fec738b1ed572b.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d59142ab797807e560fe8adf63e6ecb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e7bc1364b83c5327c14731295a22251.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/708d48b595c17d4dccf9b4086d7e664e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9325d1fc40678e07ae00fb52d695477f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8dc4c63a548b91061528aa11058de75.png)
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2021-11-11更新
|
473次组卷
|
3卷引用:10.1.3 两角和与差的正切
20-21高一·全国·课后作业
8 . 如图,在某开发区内新建两栋高楼AB,CD(AC为水平地面),P是AC的中点,在点P处测得两楼顶的张角
,
.试求楼CD的高度(测量仪器的高度不计).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca1d0963bbe4d4d8eda2210585fc1d7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec90788d3e619fefe4a6c2b13d6272ff.png)
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20-21高一·全国·课后作业
解题方法
9 . 化简:
(1)
;
(2)
;
(3)
;
(4)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47b333018c5b53b582853f182a16d234.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34eb0fcbb31bb957a48fd66e705e2c10.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/799063c045a01cd76573359850ef1c5c.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea1ae350f5e8bf5a4f967f7fbb61534.png)
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20-21高一·全国·课后作业
10 . 化简:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/859b0ad42e0e6839246cbd1ac73437e9.png)
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