名校
解题方法
1 . (1)已知
,求
的值;
(2)已知
为第二象限角,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ff8bc68d8f5634b29cda017aa976417.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd0fe2e4bebda0128a687d3e5b476eb8.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69b4cab645c97f6d1710f803ef6a8436.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97ed05e2f9f36661069d1239591a806e.png)
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|
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2卷引用:四川省绵阳南山中学2023-2024学年高一下学期入学考试数学试题
名校
2 . 若点
在椭圆
上,
,
分别是椭圆的两焦点,且
,则
面积是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d80b861ba40387cb2bcd04945f5a371a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d124b231bf2cd3746f35e6c68cd7178f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/002ed1ebb2cb936e10ab478789f91c7c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3卷引用:四川省成都市西北中学2023-2024学年高二下学期4月阶段性考试数学试题
名校
解题方法
3 . 若角
的终边经过点
,则
的值可以为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dd58baea326536a3eb40b486c4d5905.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5卷引用:四川省雅安市雅安中学2023-2024学年高一上学期1月月考数学试题
四川省雅安市雅安中学2023-2024学年高一上学期1月月考数学试题甘肃省陇南市2023-2024学年高一上学期期末检测数学试题吉林省部分名校2023-2024学年高一上学期期末联合考试数学试题(已下线)专题05 三角函数2-2024年高一数学寒假作业单元合订本山东省青岛第九中学2023-2024学年高一下学期期初检测数学试卷
名校
解题方法
4 . 已知
,
分别为椭圆
的两个焦点,椭圆C上的一点P满足
,且
,则a的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81c0a1b089ef5d860c3d7316d56c6323.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e11bf7883ca9b76680b95ae6e7a08649.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f04443a0c1cf4808aea741c9f9379b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ce67f2138e7295cd72d66b2908cb6de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/911683891553f51a3e7af37557ce36a2.png)
A.3 | B.2 | C.1 | D.![]() |
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3卷引用:四川省绵阳南山中学实验学校2023-2024学年高二上学期期末模拟数学试题
四川省绵阳南山中学实验学校2023-2024学年高二上学期期末模拟数学试题 (已下线)考点13 正弦定理及应用 --2024届高考数学考点总动员【练】新疆维吾尔自治区阿克苏地区第一中学2023-2024学年高二上学期期末数学试题
5 . 已知①
,②
,③
,从上述三个条件中任选一个补充到下面问题中,并解答问题.在
中,内角
的对边分别为
,并且满足__________.
(1)求角
;
(2)若
为角
的平分线,点
在
上,且
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef5bbec22aa4a92538aa16584fee7714.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31dea04ee8b4400a4df4f5fbe801e29d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b6e3f89268defbce62a3c81a0cba8db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72d81245b738b195641d4c29f1d7beb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/714cc3707bba3bfdb56e251999be8592.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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6卷引用:四川省甘孜藏族自治州2024届高三一模数学(文)试题
四川省甘孜藏族自治州2024届高三一模数学(文)试题(已下线)第六章 平面向量及其应用(压轴题专练)-单元速记·巧练(人教A版2019必修第二册)(已下线)专题12 正余弦定理妙解三角形问题和最值问题(练习)(已下线)黄金卷08云南省昆明市禄劝彝族苗族自治县第一中学2023-2024学年高一下学期3月月考数学试题青海省西宁市第十四中学2023-2024学年高一下学期4月月考数学试卷
名校
解题方法
6 . 已知函数
满足:
,函数
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2d2a706da87c1775d9e89799e45b4df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bda7e96643e5531878a703a58a6d793.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/747d125eb78236c882e55d92deba35de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de43ab7f1b3abdb87ee3386471b6cc39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/656038271c2924647fe1eee26dc108f9.png)
A.![]() | B.0 | C.1 | D.4 |
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2卷引用:2024届四川省成都市成华区某校高三上学期一模数学(理)试题
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7 . 如图,在四棱锥
中,则面
底面
,侧棱
,底面
为直角梯形,其中
,
,
,
为
中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/18/35e698c5-795d-43c6-9063-5d6b826555b8.png?resizew=159)
(1)求证:
平面
;
(2)求异面直线
与
所成角的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93edc7bb513f40a89173121c8570cd65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1328e05d150f86dbe18656662eaa8f6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae1e04eeb4de72e5750dae77bcb6f88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1134c8e3440abb6cd385af2c169037fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04a93f5289c1483bc39b0125fdc8dd67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/18/35e698c5-795d-43c6-9063-5d6b826555b8.png?resizew=159)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3e126c16032892966489053f44b9048.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)求异面直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
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2023-12-19更新
|
553次组卷
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2卷引用:四川省成都市龙泉驿区东竞高级中学2023-2024学年高二上学期期中数学试题
名校
8 . 设函数
.
(1)求函数
的最小正周期及
图象的对称轴;
(2)在锐角
中,若
,且能盖住
的最小圆的面积为
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3bd278db18d612d89271e7938643c5f.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)在锐角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42a30cdeccc312028502c30ca324d62e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20b3a91ccf6028608cd03df7072f6536.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6d831223c3c4ae2ee718118f97a06d6.png)
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3卷引用:四川省内江市威远中学校2024届高三上学期第三次月考数学(理)试题
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9 . 如图,某景区欲在两山顶
、
之间建缆车,需要测量两山顶间的距离.已知山高
,
,在水平面上
处测得山顶
的仰角为
,山顶
的仰角为
,
,则两山顶
、
之间的距离为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68ebd3a0aee2797e72705857ec07a169.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c838ce56dcb0d5b55cb76e19de4e59a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ac09dc1ca2cdd7aef28c218763d3e4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1e5fa72f2878b476bc57f0df12d6555.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e8f250b16acd3fa117e114d8dcc14b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/30/0e53d4d0-cc8c-4a7b-9e42-46e3fc59d36e.png?resizew=165)
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名校
10 . 某数学兴趣小组到观音湖湿地公园测量临仙阁的高度.如图所示,记
为临仙阁的高,测量小组选取与塔底
在同一水平面内的两个测量点
.现测得
.
,
m,在
点处测得塔顶
的仰角为30°,则临仙阁高
大致为( )m(参考数据:
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be99fa94a1f3e4964fcc13a14fab9ba5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec98a4fefbd6799a2832c3d9788bf144.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02a719f0b868f9151cd644a4757a3961.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7878de92b0553aecc9d2271f06c23e50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be99fa94a1f3e4964fcc13a14fab9ba5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79947074dd62c428792546b88ac78e0e.png)
A.31.41m | B.51.65m | C.61.25m | D.74.14m |
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4卷引用:四川省遂宁市2024届高三上学期零诊考试数学(理科)试题
四川省遂宁市2024届高三上学期零诊考试数学(理科)试题四川省遂宁市2024届高三上学期零诊考试数学(文科)试题(已下线)第12讲 6.4.3 第3课时 余弦定理、正弦定理应用举例-【帮课堂】(人教A版2019必修第二册)吉林省长春市东北师范大学附属中学2023-2024学年高一下学期数学学科大练习7