2024高一下·上海·专题练习
解题方法
1 . (1)证明:
;
(2)化简:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/711a0b572919121037d12cbd89db23a2.png)
(2)化简:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6551e349ab9cdaceeddd10df7d02b45.png)
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2 . 已知
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/283cd7c02c81dc12314b2ca106903242.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6ffa8a470279c412befce0bac3d3e93.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 已知向量
,
,且
.
(1)若
,求
的值;
(2)求
的取值范围;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5957615bbd3adb2c186044516538259c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f49c94c8b933013d9f5d867bf47ab3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a67c1962c3ed8ad1e3a689ebac4b6b31.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7dced91de1b8c38aa95ffee0e5dc202.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93af88a7628c71d642d3a6df067c15f5.png)
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2024-05-04更新
|
295次组卷
|
3卷引用:专题02 三角恒等变换题型归纳-《期末真题分类汇编》(江苏专用)
(已下线)专题02 三角恒等变换题型归纳-《期末真题分类汇编》(江苏专用)江苏省镇江中学2023-2024学年高一下学期期中检测数学试题江西省南昌市第十九中学2023-2024学年高一下学期5月期中考试数学试题
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解题方法
4 . 已知
与
都是非零有理数,则在
,
,
中,一定是有理数的有( )个.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ae3c7568ada9b818bb2a7a902f8bc62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d328ffcf1b593e1fe064b1a54e7b5931.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de7d5ef3a3d9a03be91135fc426d57cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aefd06c239145a2b6ae87a955aa51414.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43660b1543b3a2b46185f7629d28a963.png)
A.0 | B.1 | C.2 | D.3 |
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2024-04-15更新
|
384次组卷
|
3卷引用:专题02 三角恒等变换(2)-期末考点大串讲(苏教版(2019))
解题方法
5 . 已知
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36303e0e60c6f440a1e1c56e426ae9e5.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32eb02421d867d06df9628e7a4850f7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c04ca22dba343e23584976deeedf071f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36303e0e60c6f440a1e1c56e426ae9e5.png)
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解题方法
6 . 已知
为锐角,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/173fb697a780573b0dcc5cfba0982b61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb813f503b877a9eabbc919f27c1299c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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7 . 设
,化简
的结果是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c5f229287279b9fe83ac636609c702f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43210afc56120e952d2921f5f2237a01.png)
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2024高一·全国·专题练习
解题方法
8 . 已知
,
为
的一个内角.若不论
为何值,总存在
使得
是实数,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/360b3906555e0cd2d4b162aae91f4fa8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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解题方法
9 . 已知
,
.
(1)求
的值;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cba89cdd93406b3bb8c1b4e54e2cde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e74d96c1b7240e5ee69d0a83b9e90a82.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ff766e3b17ec9235b2577c147e529c6.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c52220314b8ff75a1290fe99af6d50.png)
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2024-02-29更新
|
598次组卷
|
6卷引用:5.5.2简单的三角恒等变换(第2课时)
(已下线)5.5.2简单的三角恒等变换(第2课时)(已下线)5.5.1两角和与差的正弦、余弦、正切公式(第2课时)(已下线)8.2.4 三角恒等变换的应用-【帮课堂】(人教B版2019必修第三册)河北省保定市部分高中2023-2024学年高一下学期开学数学试题河北省衡水市衡水中学2023-2024学年高一下学期开学检测数学试题湖北省天门市江汉学校2023-2024学年高一下学期3月月考数学试题
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解题方法
10 . 在
中,
分别为角
所对的边长,
.
(1)证明:
是等腰三角形;
(2)若
,求
的周长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70bf6dd61151d809ac10b1bb9259b411.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59d15d6b1e8b4368ac45cc2254aafdc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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