名校
解题方法
1 . 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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名校
解题方法
2 . 化简与求值:
(1)已知
,
,求
的值;
(2)计算:
.
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21580a309f33e63e7b805839248eea7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80c4266f962def23c1dc0bd66a502912.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae8aaf830ba8ed8a772923d908ee966e.png)
(2)计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baf3a04b76360259bc3747bd14200583.png)
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名校
解题方法
3 . 化简求值.
(1)化简:
;
(2)已知:
,计算:
.
(1)化简:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f80d3c2d53b0f7e129480bc389fa549.png)
(2)已知:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f7fdccadfa7469825f8a5ccbf495c24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7db8ff1ed802c1722d6da00dfa9a0fc.png)
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解题方法
4 . 已知第二象限的角
,并且
.
(1)化简式子
并求值;
(2)计算:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9bc052a11cf1a01445992672dde2836.png)
(1)化简式子
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0740adfa5a48bd32fd46fbb2d37fb329.png)
(2)计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbdbf1afe514ee8e968dc256ec43dd7f.png)
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2023-08-10更新
|
395次组卷
|
2卷引用:贵州省遵义市正安县某校2022-2023学年高二下学期第一次月考数学试题
5 . (1)已知角
的终边经过点
,化简并求值:
;
(2)计算
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31a0cc78c3e209937bd33da16b04044a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c890f2112191353493ee5d9cc82cc5ff.png)
(2)计算
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3475509f2ccc1fc10317621660b5a858.png)
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2021-06-23更新
|
1092次组卷
|
5卷引用:河南名校联盟2020-2021学年高一下学期期中考试数学(理)试题
河南名校联盟2020-2021学年高一下学期期中考试数学(理)试题河南名校联盟2020-2021学年高一下学期期中考试数学(文)试题(已下线)专题18诱导公式与同角三角函数基本关系式-2022年(新高考)数学高频考点+重点题型(已下线)专题5.2 同角三角函数的基本关系与诱导公式(练)- 2022年高考数学一轮复习讲练测(新教材新高考)(已下线)专题18 诱导公式与同角三角函数基本关系式
6 . (1) 已知
求
的值;
(2)化简求值:
;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1b0c298dae5798d91fdcad3b28d6023.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9146fc0a63e5c14a8fa46573e60c07ba.png)
(2)化简求值:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea1ae350f5e8bf5a4f967f7fbb61534.png)
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解题方法
7 . 化简,求值
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20115ddb0ae6aac9b948ae2651c3acd1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ea81da7f8471a097675421508bb5f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e144c04250a092ddc87aff954b8c5625.png)
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名校
解题方法
8 . 求值:已知
.
(1)化简
;
(2)若
是第二象限角,且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/457af4a5b05c9591360d4f0827e401e0.png)
(1)化简
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/794f2c6bd63355105d179d11306a9cae.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3846b8182fd2e009fd7346f275140a8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/794f2c6bd63355105d179d11306a9cae.png)
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名校
解题方法
9 . 化简求值:
(1)已知
,且
为第四象限的角,求
的值.
(2)已知
,
,求
的最小值.
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9088e31e00eaa4e95c1e6717b0c82cdf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43660b1543b3a2b46185f7629d28a963.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2a9344f4fca7b9779ca7720e5277ea6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44ecae5f8753141cf8d274afb20a1907.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b88584cf1df43e28d03592c7998b1653.png)
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名校
10 . 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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