名校
解题方法
1 . 已知
.
(1)求
的值.
(2)求
的值;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/536e072eb0439a5e5b430cd55a129374.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5c684f5c1cfb58c8729fbc075cee649.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a478e03877fd76050b8af0bf205d0e8c.png)
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名校
2 . 若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d60a06f6d8a62020785155cb91212e72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ba4099214de730a5f4c322d4e1310b7.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
3 . 三角函数公式在求值、化简、证明中起着非常重要的作用,如可以用含
的式子来表示
的任意三角数,如
,可见
也可以表示为只含
的表达式.以上推理过程体现了数学中的逻辑推理和数学运算等核心素养,同时也蕴含了转化和换元思想.
(1)试用以上素养和思想方法将
表示为只含
的代数式;
(2)已知
,利用以上结论求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43660b1543b3a2b46185f7629d28a963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/267572d2dff2dc38cf9251b7f33a3e61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4227d463b9a3c9c371e62176868476cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00a080cab44a7d3605430d67b207f9be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43660b1543b3a2b46185f7629d28a963.png)
(1)试用以上素养和思想方法将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed5ff5a2e7663e6a21ccea3149a10113.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43660b1543b3a2b46185f7629d28a963.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b44195745e40b014d886e28c21ccc316.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a7b915277169254e670ea51b693b9fc.png)
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解题方法
4 . 若
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/536e072eb0439a5e5b430cd55a129374.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f0261fadcfcf76df2086d532c7b4a6c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5 . 已知角
的顶点在坐标原点,始边与x轴正半轴重合,终边在直线
上,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b740d1f7ec8da97b4bd1f55378f9fbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b259423e3dc00f2b9b5b0b878451c83.png)
A.![]() | B.![]() | C.![]() | D.2 |
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解题方法
6 . 已知
是第四象限角,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06d7258de3ea69c206cd1425a8caf1b6.png)
______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfa7af23345b52c5f73d6b978cc43509.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1a373d932dd938980fefafb7aff9b8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06d7258de3ea69c206cd1425a8caf1b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfa7af23345b52c5f73d6b978cc43509.png)
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解题方法
7 . 已知
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2ef2dac3c71be4473e4cd3d90dc136c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a18798408a1b91fdb12deb79f0b562a.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
8 . 已知角
,
,
,
.
(1)求
的值;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c2d00ef3a01f64abcd50284fa21c85e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb8cfceb6d45e4a611deb7aea4099651.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/437601a277901f79aa3d6a4b955cf72d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b66e69ad4b12f7f2b2c9da8107106eb3.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b18576e4c3193432b246d2daefc8103.png)
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解题方法
9 . 计算求值
(1)已知
,求
的值;
(2)化简
.
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aabf9fb99343704daad3c4ee473b8433.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2244bd80506c006a790f08b58d6b14a1.png)
(2)化简
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bedcce95995d0cf066c13eeeaba423da.png)
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10 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85527d190d4e1d6bac4145d1c716e65e.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc141b4d5e0a5fb51a699bc63ba1d8e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85527d190d4e1d6bac4145d1c716e65e.png)
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