1 . 把下列各式化成和或差的形式:
(1)
;
(2)
;
(3)
;
(4)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86965c380534fd76c2c826f962200b78.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05c5eca52c641f8afcbb0d8441411c5e.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ae35486192bdaa2e67c474f3d74c950.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f16da79d824dd9e9929d8f1b07df0b9.png)
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2023-10-09更新
|
42次组卷
|
4卷引用:北师大版(2019)必修第二册课本习题第四章2.3三角函数的叠加及其应用
北师大版(2019)必修第二册课本习题第四章2.3三角函数的叠加及其应用(已下线)专题10.3几个三角恒等式-重难点突破及混淆易错规避(苏教版2019必修第二册)(已下线)2.3 三角函数的叠加及其应用北师大版(2019)必修第二册课本例题2.3 三角函数的叠加及其应用
解题方法
2 . 已知
,
,求
,
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa3d19725b200c42b536b7e251f8a6e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d59293fd84aa30bd783d0f89e7c52e40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6f90c4754e6b6fc862d72943fb35569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/850dba25bf0f5f13541bf9b6ec12b84d.png)
您最近一年使用:0次
解题方法
3 . 已知等腰三角形一个底角的正弦值为
,求这个三角形的顶角的正弦、余弦及正切的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eac97e6740365c85ad857aff85cefbe5.png)
您最近一年使用:0次
解题方法
4 . 已知
,
,求
,
和
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7935c2b090920256d2c01b2645d3867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a628e50eae992e6f7603074ef09be1b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0f04c7c99a24980dc13b64b2523bf15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e387687ef705d7b6694aedde85a2e3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24065d444e68ede7fe10b02e92b70d7d.png)
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5 . 求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1025c09a3b71630c2a3fd665be85a8c.png)
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6 . 求下列各式的值:
(1)
;
(2)
;
(3)
;
(4)
;
(5)
;
(6)
;
(7)
;
(8)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd43cae6b8b0f13024b093d6167de58f.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd577259d75f70140b2d36677893991.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0008e2b244db40a1f751b87c1557ec1.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e12bfe92776c23e00b5291af2e12db3.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/493ad8638f013c9c635b2e2594c7cc2f.png)
(6)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c18e2777e711d1582eb99afef920e10.png)
(7)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/803101f29c1c6318377cf02050e12138.png)
(8)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c7ac24df17ca02f294375b63679e04d.png)
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解题方法
7 . 已知
,
,求
,
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3d15b377e37c9e0fcbfce046148bdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f201f6e84279e80b85f394f4d930ed41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9146fc0a63e5c14a8fa46573e60c07ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6f90c4754e6b6fc862d72943fb35569.png)
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8 . 求证:
(1)
;
(2)
;
(3)
;
(4)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fa937ccb146dae977cb55510f4d5042.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fab8647d21551f167d68b305179c37ed.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11c58a6ee2ea78be2d62f5c182c04326.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f15c3e2158bdc118bb5ef2c9c16b5eb5.png)
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9 . 已知
与
的比是
,
,求
,
和
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b4179e1ab8705cf19ea7aaf48888843.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0f04c7c99a24980dc13b64b2523bf15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b0aa41de0d08340c0e7d1d6ad34981a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01e915c7310f3781887a1afb99dbf949.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d66c03d4ca06819a6ce7fc8ea6de0f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0f04c7c99a24980dc13b64b2523bf15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e88c08e47e081b23f3ed2f253cb59bcf.png)
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10 . 化简:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/897eafc2972ca2cb0b0ab4e5279662c6.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/897eafc2972ca2cb0b0ab4e5279662c6.png)
您最近一年使用:0次