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1 . (1)证明三倍角的余弦公式:
;
(2)利用等式
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ee07a408ea336ab7e45a66a214a4b60.png)
(2)利用等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9506fe81f5199385edd8b0a706e2ee2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d0ac5e4a6ef4f217b2ffb08aea29489.png)
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2 . 若点
是椭圆
上任意一点,点
分别为椭圆
的上下顶点,若直线
、
的倾斜角分别为
、
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59c7e086c3ab30df4d79870ae9a3cce5.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbed61f2fa6116be9c19eaa2796663ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59c7e086c3ab30df4d79870ae9a3cce5.png)
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3 . 已知
为锐角三角形,且
.
(1)求角
的大小;
(2)若
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec50021223111506cdc069e9e7c1451b.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b71812e0762c0aaffb51cfef66156567.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d77261760e6413911dbeb48dddc78a5.png)
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2020-01-20更新
|
328次组卷
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3卷引用:2020届安徽省马鞍山市高三第一次教学质量监测理科数学试题
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4 . 已知
,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d5279962e65cf11bde1cd1faa859522.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46cbd8c9d6841ee3ded51e9c5e9b9018.png)
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5 . 化简
的结果为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f762828e6e91ec1db126a2638993f0a.png)
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6 . 已知
均为锐角,
,
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/775420da1988d2bcb0e05a2cfd385db4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c81719984bb99a4e0343e9adc45e41a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/005fa32731cd8290847a115f78b42efa.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2020-01-15更新
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2卷引用:黑龙江省哈尔滨市南岗区第三中学校2019-2020学年高二上学期期末数学(文)试题
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7 . 已知
,
,则
的值为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b2bd65366218adaa8a83bd0b317d95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6c94a0f8976c1cc8f00b4e37a8ed4db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6abc69c57972a4efb8301e3308ea9ca6.png)
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2020-01-14更新
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4卷引用:吉林省实验中学2019-2020学年高一上学期期末数学(理)试题
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8 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dc32371798065e615f723ca269226ea.png)
(1)求函数
在区间
上的值域
(2)把函数
图象所有点的上横坐标缩短为原来的
倍,再把所得的图象向左平移
个单位长度
,再把所得的图象向下平移1个单位长度,得到函数
, 若函数
关于点
对称
(i)求函数
的解析式;
(ii)求函数
单调递增区间及对称轴方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dc32371798065e615f723ca269226ea.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a99fc70d2af7e8940c4d9b7e010fe7.png)
(2)把函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0b2fd5352ff37926520b4b2f3e5ab96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5717a16aa38dc3a7c44d784fbb68a535.png)
(i)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(ii)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
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2020-01-14更新
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4卷引用:浙江省杭州市高级中学2019-2020学年高一上学期期末数学试题
浙江省杭州市高级中学2019-2020学年高一上学期期末数学试题(已下线)【新东方】新东方高一数学试卷272(已下线)【新东方】新东方高一数学试卷278浙江省台州市书生中学2019-2020学年高一下学期开学考试数学试题
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9 . (Ⅰ)已知
求
的值;
(Ⅱ)已知
求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/057358f164a95a8f5466305152a658c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b4179e1ab8705cf19ea7aaf48888843.png)
(Ⅱ)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fc6da032e917e2078c2333aaf34c0e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1db9bff61ea982def4f236f992f34b38.png)
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10 . 已知
,则
的值为______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58e946030120ac1b3eb14718585bf755.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/850dba25bf0f5f13541bf9b6ec12b84d.png)
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2020-01-12更新
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